[
    {
        "id": "topology-easy-graph301",
        "image": "data/topology/graph_visual/easy/graph301.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 0 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node9\nnode 3 should be visited before node5\nnode 4 should be visited before node9\nnode 5 should be visited before node2\nnode 6 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,6,0,5,7,2,1,9."
            }
        ]
    },
    {
        "id": "topology-easy-graph222",
        "image": "data/topology/graph_visual/easy/graph222.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node7\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 0 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node5\nnode 3 should be visited before node5\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,7,2,1,6,3,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph9",
        "image": "data/topology/graph_visual/easy/graph9.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node4\nnode 1 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 4 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,0,4,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph60",
        "image": "data/topology/graph_visual/easy/graph60.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 3 should be visited before node0\nnode 4 should be visited before node0\nnode 4 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,0,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph151",
        "image": "data/topology/graph_visual/easy/graph151.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node6\nnode 2 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 4 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,5,3,4,0,2,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph190",
        "image": "data/topology/graph_visual/easy/graph190.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node0\nnode 2 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,6,3,5,0,7,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph219",
        "image": "data/topology/graph_visual/easy/graph219.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node5\nnode 1 should be visited before node5\nnode 2 should be visited before node5\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 7 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,4,6,1,7,3,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph246",
        "image": "data/topology/graph_visual/easy/graph246.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node8\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 4 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node8\nnode 7 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,7,5,3,1,4,8,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph39",
        "image": "data/topology/graph_visual/easy/graph39.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 2 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 4 should be visited before node3\nnode 4 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,3,1,2,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph166",
        "image": "data/topology/graph_visual/easy/graph166.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 3 should be visited before node1\nnode 4 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 6 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,2,0,4,3,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph171",
        "image": "data/topology/graph_visual/easy/graph171.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,4,6,1,3,0,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph68",
        "image": "data/topology/graph_visual/easy/graph68.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 4 should be visited before node3\nnode 5 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,5,2,4,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph201",
        "image": "data/topology/graph_visual/easy/graph201.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,3,0,6,7,1,5,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph207",
        "image": "data/topology/graph_visual/easy/graph207.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 3 should be visited before node5\nnode 4 should be visited before node5\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node3\nnode 7 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,6,2,7,3,0,4,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph98",
        "image": "data/topology/graph_visual/easy/graph98.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node3\nnode 1 should be visited before node4\nnode 5 should be visited before node4\nnode 5 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,5,4,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph8",
        "image": "data/topology/graph_visual/easy/graph8.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 1 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 3 should be visited before node1\nnode 4 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,3,1,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph321",
        "image": "data/topology/graph_visual/easy/graph321.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node9\nnode 1 should be visited before node3\nnode 1 should be visited before node7\nnode 2 should be visited before node1\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 3 should be visited before node7\nnode 4 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 9 should be visited before node8\nnode 9 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,1,4,0,6,9,3,5,8,7."
            }
        ]
    },
    {
        "id": "topology-easy-graph50",
        "image": "data/topology/graph_visual/easy/graph50.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node1\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 4 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,4,0,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph96",
        "image": "data/topology/graph_visual/easy/graph96.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node3\nnode 4 should be visited before node5\nnode 5 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,0,3,5,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph213",
        "image": "data/topology/graph_visual/easy/graph213.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 4 should be visited before node0\nnode 5 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,7,6,1,5,4,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph87",
        "image": "data/topology/graph_visual/easy/graph87.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,3,2,4,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph28",
        "image": "data/topology/graph_visual/easy/graph28.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 2 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,4,0,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph5",
        "image": "data/topology/graph_visual/easy/graph5.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node1\nnode 3 should be visited before node2\nnode 4 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,4,2,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph348",
        "image": "data/topology/graph_visual/easy/graph348.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node3\nnode 0 should be visited before node2\nnode 0 should be visited before node9\nnode 1 should be visited before node9\nnode 2 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node7\nnode 5 should be visited before node9\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node9\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node7\nnode 8 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,8,0,3,5,4,7,1,2,9."
            }
        ]
    },
    {
        "id": "topology-easy-graph317",
        "image": "data/topology/graph_visual/easy/graph317.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 3 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node9\nnode 9 should be visited before node7\nnode 9 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,5,3,2,9,6,0,7,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph74",
        "image": "data/topology/graph_visual/easy/graph74.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 1 should be visited before node5\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 5 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,1,5,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph142",
        "image": "data/topology/graph_visual/easy/graph142.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 2 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,3,4,5,2,0,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph350",
        "image": "data/topology/graph_visual/easy/graph350.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 2 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 7 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node2\nnode 8 should be visited before node5\nnode 9 should be visited before node1\nnode 9 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,0,7,6,3,9,1,2,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph229",
        "image": "data/topology/graph_visual/easy/graph229.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node7\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 3 should be visited before node6\nnode 4 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,1,5,7,0,2,3,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph20",
        "image": "data/topology/graph_visual/easy/graph20.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,1,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph192",
        "image": "data/topology/graph_visual/easy/graph192.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node1\nnode 2 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 4 should be visited before node5\nnode 4 should be visited before node1\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,7,3,6,4,2,5,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph69",
        "image": "data/topology/graph_visual/easy/graph69.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node3\nnode 1 should be visited before node2\nnode 3 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,5,3,1,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph322",
        "image": "data/topology/graph_visual/easy/graph322.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 2 should be visited before node4\nnode 4 should be visited before node3\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 6 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,9,5,0,1,7,2,6,4,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph302",
        "image": "data/topology/graph_visual/easy/graph302.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 2 should be visited before node8\nnode 4 should be visited before node3\nnode 5 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node5\nnode 7 should be visited before node3\nnode 8 should be visited before node5\nnode 9 should be visited before node4\nnode 9 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,6,7,9,0,2,8,5,4,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph17",
        "image": "data/topology/graph_visual/easy/graph17.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node4\nnode 2 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,0,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph125",
        "image": "data/topology/graph_visual/easy/graph125.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node2\nnode 2 should be visited before node1\nnode 3 should be visited before node1\nnode 5 should be visited before node6\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 6 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,5,6,3,2,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph243",
        "image": "data/topology/graph_visual/easy/graph243.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 1 should be visited before node3\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 7 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,4,7,2,6,3,8,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph242",
        "image": "data/topology/graph_visual/easy/graph242.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node3\nnode 1 should be visited before node8\nnode 2 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 5 should be visited before node4\nnode 5 should be visited before node8\nnode 6 should be visited before node3\nnode 7 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,7,6,4,0,1,3,8."
            }
        ]
    },
    {
        "id": "topology-easy-graph278",
        "image": "data/topology/graph_visual/easy/graph278.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node3\nnode 5 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node1\nnode 7 should be visited before node3\nnode 8 should be visited before node4\nnode 8 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,8,6,4,7,0,1,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph112",
        "image": "data/topology/graph_visual/easy/graph112.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 5 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,1,4,0,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph196",
        "image": "data/topology/graph_visual/easy/graph196.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 4 should be visited before node0\nnode 4 should be visited before node3\nnode 5 should be visited before node3\nnode 6 should be visited before node2\nnode 7 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,6,7,5,4,2,0,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph265",
        "image": "data/topology/graph_visual/easy/graph265.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 2 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node8\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 7 should be visited before node8\nnode 8 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,6,7,5,2,8,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph45",
        "image": "data/topology/graph_visual/easy/graph45.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 2 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,2,4,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph227",
        "image": "data/topology/graph_visual/easy/graph227.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 1 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 1 should be visited before node0\nnode 2 should be visited before node7\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 3 should be visited before node0\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,5,6,4,2,7,3,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph154",
        "image": "data/topology/graph_visual/easy/graph154.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 4 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 6 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,5,1,4,3,6,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph263",
        "image": "data/topology/graph_visual/easy/graph263.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node5\nnode 0 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 5 should be visited before node2\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 8 should be visited before node3\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node0\nnode 8 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,8,3,1,7,4,0,5,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph170",
        "image": "data/topology/graph_visual/easy/graph170.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 1 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,4,5,0,1,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph245",
        "image": "data/topology/graph_visual/easy/graph245.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node7\nnode 0 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 1 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 7 should be visited before node5\nnode 8 should be visited before node7\nnode 8 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,3,6,8,0,7,4,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph26",
        "image": "data/topology/graph_visual/easy/graph26.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 1 should be visited before node0\nnode 2 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,4,0,2,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph225",
        "image": "data/topology/graph_visual/easy/graph225.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 3 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node5\nnode 7 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,1,0,2,3,4,7,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph75",
        "image": "data/topology/graph_visual/easy/graph75.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 1 should be visited before node5\nnode 4 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,1,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph157",
        "image": "data/topology/graph_visual/easy/graph157.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node6\nnode 5 should be visited before node6\nnode 5 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,5,1,2,6,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph159",
        "image": "data/topology/graph_visual/easy/graph159.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 1 should be visited before node6\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 4 should be visited before node6\nnode 5 should be visited before node6\nnode 5 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,4,5,1,0,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph333",
        "image": "data/topology/graph_visual/easy/graph333.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node6\nnode 4 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node2\nnode 7 should be visited before node9\nnode 8 should be visited before node0\nnode 9 should be visited before node8\nnode 9 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,1,7,3,2,9,4,8,0,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph344",
        "image": "data/topology/graph_visual/easy/graph344.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node6\nnode 0 should be visited before node5\nnode 0 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 8 should be visited before node5\nnode 9 should be visited before node4\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node2\nnode 9 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,9,4,8,1,0,6,5,2,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph143",
        "image": "data/topology/graph_visual/easy/graph143.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,6,1,0,5,2,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph200",
        "image": "data/topology/graph_visual/easy/graph200.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node2\nnode 5 should be visited before node1\nnode 6 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,6,7,1,3,0,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph2",
        "image": "data/topology/graph_visual/easy/graph2.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node1\nnode 2 should be visited before node1\nnode 3 should be visited before node4\nnode 4 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,4,2,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph184",
        "image": "data/topology/graph_visual/easy/graph184.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 1 should be visited before node5\nnode 2 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node4\nnode 7 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,6,7,1,4,0,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph342",
        "image": "data/topology/graph_visual/easy/graph342.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node9\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 3 should be visited before node1\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 5 should be visited before node8\nnode 5 should be visited before node1\nnode 5 should be visited before node6\nnode 7 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 9 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,7,9,5,4,8,3,6,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph234",
        "image": "data/topology/graph_visual/easy/graph234.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 4 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node2\nnode 6 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,3,4,1,7,2,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph297",
        "image": "data/topology/graph_visual/easy/graph297.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 4 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node4\nnode 8 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,7,6,3,8,5,0,4,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph141",
        "image": "data/topology/graph_visual/easy/graph141.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 2 should be visited before node4\nnode 3 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,5,6,2,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph155",
        "image": "data/topology/graph_visual/easy/graph155.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 2 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 6 should be visited before node2\nnode 6 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,6,1,0,2,5,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph99",
        "image": "data/topology/graph_visual/easy/graph99.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 2 should be visited before node5\nnode 3 should be visited before node2\nnode 4 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,3,4,0,2,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph236",
        "image": "data/topology/graph_visual/easy/graph236.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 5 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node0\nnode 7 should be visited before node6\nnode 7 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,2,1,7,6,5,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph206",
        "image": "data/topology/graph_visual/easy/graph206.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node4\nnode 1 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node5\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 5 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,6,1,0,4,5,7."
            }
        ]
    },
    {
        "id": "topology-easy-graph134",
        "image": "data/topology/graph_visual/easy/graph134.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 4 should be visited before node6\nnode 5 should be visited before node3\nnode 5 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,5,0,2,3,4,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph221",
        "image": "data/topology/graph_visual/easy/graph221.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 2 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,6,7,3,2,1,5,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph124",
        "image": "data/topology/graph_visual/easy/graph124.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 2 should be visited before node5\nnode 3 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 6 should be visited before node1\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,6,1,3,2,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph164",
        "image": "data/topology/graph_visual/easy/graph164.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 2 should be visited before node4\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,5,3,1,0,2,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph328",
        "image": "data/topology/graph_visual/easy/graph328.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 1 should be visited before node2\nnode 1 should be visited before node8\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node9\nnode 2 should be visited before node7\nnode 2 should be visited before node3\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 3 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node8\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 5 should be visited before node9\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node9\nnode 7 should be visited before node9\nnode 8 should be visited before node3\nnode 8 should be visited before node4\nnode 8 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,1,0,2,8,7,3,9,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph341",
        "image": "data/topology/graph_visual/easy/graph341.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node2\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 2 should be visited before node9\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 4 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node1\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node4\nnode 9 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,8,6,0,2,9,7,5,4,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph345",
        "image": "data/topology/graph_visual/easy/graph345.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node7\nnode 0 should be visited before node9\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 4 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 5 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node8\nnode 7 should be visited before node3\nnode 8 should be visited before node3\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,0,7,9,6,2,1,5,8,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph251",
        "image": "data/topology/graph_visual/easy/graph251.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 5 should be visited before node3\nnode 6 should be visited before node3\nnode 6 should be visited before node8\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 8 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,2,7,6,5,8,3,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph172",
        "image": "data/topology/graph_visual/easy/graph172.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node3\nnode 2 should be visited before node3\nnode 4 should be visited before node2\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,6,0,5,4,2,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph188",
        "image": "data/topology/graph_visual/easy/graph188.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 3 should be visited before node7\nnode 4 should be visited before node5\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 7 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,4,3,7,5,6,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph106",
        "image": "data/topology/graph_visual/easy/graph106.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 1 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,4,1,5,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph120",
        "image": "data/topology/graph_visual/easy/graph120.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 3 should be visited before node5\nnode 4 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph58",
        "image": "data/topology/graph_visual/easy/graph58.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 4 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,1,0,4,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph259",
        "image": "data/topology/graph_visual/easy/graph259.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 0 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 3 should be visited before node6\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,8,0,4,1,7,3,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph10",
        "image": "data/topology/graph_visual/easy/graph10.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 1 should be visited before node3\nnode 1 should be visited before node2\nnode 4 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,4,2,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph331",
        "image": "data/topology/graph_visual/easy/graph331.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node7\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 4 should be visited before node5\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 7 should be visited before node3\nnode 8 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,7,9,4,5,8,3,6,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph182",
        "image": "data/topology/graph_visual/easy/graph182.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 4 should be visited before node1\nnode 5 should be visited before node1\nnode 6 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,5,7,4,6,1,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph286",
        "image": "data/topology/graph_visual/easy/graph286.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node3\nnode 2 should be visited before node5\nnode 4 should be visited before node8\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 5 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 7 should be visited before node3\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node5\nnode 8 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,1,7,6,2,0,5,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph214",
        "image": "data/topology/graph_visual/easy/graph214.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 3 should be visited before node6\nnode 4 should be visited before node3\nnode 5 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node5\nnode 7 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,7,1,5,4,3,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph320",
        "image": "data/topology/graph_visual/easy/graph320.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node9\nnode 0 should be visited before node8\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,6,1,0,9,7,8,3,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph146",
        "image": "data/topology/graph_visual/easy/graph146.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 1 should be visited before node2\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 6 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,3,0,5,6,1,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph145",
        "image": "data/topology/graph_visual/easy/graph145.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 6 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,5,0,4,6,3,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph269",
        "image": "data/topology/graph_visual/easy/graph269.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 1 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 3 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 6 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,1,2,7,5,6,3,0."
            }
        ]
    },
    {
        "id": "topology-easy-graph306",
        "image": "data/topology/graph_visual/easy/graph306.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node7\nnode 3 should be visited before node7\nnode 4 should be visited before node7\nnode 5 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node8\nnode 9 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,6,1,9,4,5,8,3,7."
            }
        ]
    },
    {
        "id": "topology-easy-graph285",
        "image": "data/topology/graph_visual/easy/graph285.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 2 should be visited before node3\nnode 3 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,7,8,1,6,4,2,3,5."
            }
        ]
    },
    {
        "id": "topology-easy-graph290",
        "image": "data/topology/graph_visual/easy/graph290.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node6\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 6 should be visited before node4\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,8,0,2,6,5,4,3,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph161",
        "image": "data/topology/graph_visual/easy/graph161.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 2 should be visited before node3\nnode 4 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,6,1,5,4,2,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph11",
        "image": "data/topology/graph_visual/easy/graph11.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 2 should be visited before node1\nnode 3 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,4,3,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph101",
        "image": "data/topology/graph_visual/easy/graph101.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 1 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node4\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node1\nnode 5 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,5,0,1,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph313",
        "image": "data/topology/graph_visual/easy/graph313.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node8\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node8\nnode 2 should be visited before node8\nnode 3 should be visited before node0\nnode 3 should be visited before node5\nnode 4 should be visited before node7\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node0\nnode 9 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,6,9,5,1,0,4,2,7,8."
            }
        ]
    },
    {
        "id": "topology-easy-graph232",
        "image": "data/topology/graph_visual/easy/graph232.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node7\nnode 1 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 3 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 5 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,6,0,5,3,1,7."
            }
        ]
    },
    {
        "id": "topology-easy-graph258",
        "image": "data/topology/graph_visual/easy/graph258.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node8\nnode 1 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node8\nnode 5 should be visited before node7\nnode 7 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,1,4,5,0,6,7,8,2."
            }
        ]
    },
    {
        "id": "topology-easy-graph4",
        "image": "data/topology/graph_visual/easy/graph4.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 5 nodes numbered from 0 to 4:\nnode 0 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node2\nnode 4 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,0,2,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph304",
        "image": "data/topology/graph_visual/easy/graph304.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 1 should be visited before node6\nnode 5 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node2\nnode 7 should be visited before node8\nnode 9 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,7,0,8,9,1,2,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph218",
        "image": "data/topology/graph_visual/easy/graph218.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 8 nodes numbered from 0 to 7:\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,3,5,7,0,1,6."
            }
        ]
    },
    {
        "id": "topology-easy-graph283",
        "image": "data/topology/graph_visual/easy/graph283.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 1 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node7\nnode 6 should be visited before node1\nnode 6 should be visited before node4\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 7 should be visited before node4\nnode 8 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,6,2,5,7,8,1,4."
            }
        ]
    },
    {
        "id": "topology-easy-graph72",
        "image": "data/topology/graph_visual/easy/graph72.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 6 nodes numbered from 0 to 5:\nnode 0 should be visited before node4\nnode 3 should be visited before node5\nnode 3 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,4,5,1."
            }
        ]
    },
    {
        "id": "topology-easy-graph349",
        "image": "data/topology/graph_visual/easy/graph349.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node5\nnode 0 should be visited before node2\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node1\nnode 3 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 4 should be visited before node6\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 6 should be visited before node7\nnode 8 should be visited before node6\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,0,5,2,8,6,9,1,7."
            }
        ]
    },
    {
        "id": "topology-easy-graph160",
        "image": "data/topology/graph_visual/easy/graph160.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 4 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,1,6,4,5,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph248",
        "image": "data/topology/graph_visual/easy/graph248.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 9 nodes numbered from 0 to 8:\nnode 0 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 4 should be visited before node5\nnode 5 should be visited before node3\nnode 6 should be visited before node3\nnode 7 should be visited before node4\nnode 8 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,7,8,6,1,4,5,3."
            }
        ]
    },
    {
        "id": "topology-easy-graph338",
        "image": "data/topology/graph_visual/easy/graph338.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 10 nodes numbered from 0 to 9:\nnode 0 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node0\nnode 9 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,7,5,4,3,9,2,0,1,8."
            }
        ]
    },
    {
        "id": "topology-easy-graph177",
        "image": "data/topology/graph_visual/easy/graph177.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 7 nodes numbered from 0 to 6:\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 1 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 5 should be visited before node1\nnode 5 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,3,6,5,1,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph585",
        "image": "data/topology/graph_visual/medium/graph585.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node11\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 2 should be visited before node13\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 4 should be visited before node3\nnode 4 should be visited before node10\nnode 4 should be visited before node8\nnode 4 should be visited before node11\nnode 4 should be visited before node15\nnode 5 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node14\nnode 6 should be visited before node13\nnode 6 should be visited before node15\nnode 7 should be visited before node11\nnode 8 should be visited before node5\nnode 8 should be visited before node15\nnode 9 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node8\nnode 10 should be visited before node5\nnode 10 should be visited before node15\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 13 should be visited before node11\nnode 13 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node14\nnode 16 should be visited before node13\nnode 16 should be visited before node1\nnode 16 should be visited before node7\nnode 16 should be visited before node8\nnode 16 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,16,3,6,10,14,12,0,9,1,13,7,8,5,15,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph1131",
        "image": "data/topology/graph_visual/medium/graph1131.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 0 should be visited before node18\nnode 1 should be visited before node12\nnode 1 should be visited before node3\nnode 1 should be visited before node18\nnode 2 should be visited before node18\nnode 2 should be visited before node16\nnode 4 should be visited before node10\nnode 4 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node0\nnode 4 should be visited before node20\nnode 4 should be visited before node1\nnode 4 should be visited before node12\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node22\nnode 4 should be visited before node18\nnode 4 should be visited before node16\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 6 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node12\nnode 7 should be visited before node5\nnode 7 should be visited before node3\nnode 7 should be visited before node18\nnode 8 should be visited before node19\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node22\nnode 8 should be visited before node2\nnode 8 should be visited before node18\nnode 8 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node20\nnode 9 should be visited before node12\nnode 9 should be visited before node6\nnode 10 should be visited before node21\nnode 10 should be visited before node0\nnode 10 should be visited before node13\nnode 10 should be visited before node8\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node6\nnode 10 should be visited before node22\nnode 11 should be visited before node17\nnode 11 should be visited before node8\nnode 11 should be visited before node19\nnode 11 should be visited before node20\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 11 should be visited before node1\nnode 11 should be visited before node5\nnode 11 should be visited before node22\nnode 11 should be visited before node18\nnode 11 should be visited before node16\nnode 12 should be visited before node22\nnode 13 should be visited before node19\nnode 13 should be visited before node7\nnode 13 should be visited before node1\nnode 13 should be visited before node12\nnode 13 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node22\nnode 13 should be visited before node2\nnode 13 should be visited before node18\nnode 13 should be visited before node16\nnode 14 should be visited before node9\nnode 14 should be visited before node11\nnode 14 should be visited before node20\nnode 14 should be visited before node7\nnode 14 should be visited before node15\nnode 14 should be visited before node5\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 14 should be visited before node22\nnode 14 should be visited before node2\nnode 14 should be visited before node18\nnode 14 should be visited before node16\nnode 15 should be visited before node1\nnode 15 should be visited before node12\nnode 15 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node16\nnode 17 should be visited before node19\nnode 17 should be visited before node7\nnode 17 should be visited before node1\nnode 17 should be visited before node12\nnode 17 should be visited before node2\nnode 17 should be visited before node16\nnode 18 should be visited before node16\nnode 19 should be visited before node15\nnode 19 should be visited before node12\nnode 19 should be visited before node5\nnode 19 should be visited before node6\nnode 19 should be visited before node16\nnode 20 should be visited before node1\nnode 20 should be visited before node12\nnode 20 should be visited before node6\nnode 20 should be visited before node3\nnode 20 should be visited before node22\nnode 21 should be visited before node14\nnode 21 should be visited before node0\nnode 21 should be visited before node11\nnode 21 should be visited before node17\nnode 21 should be visited before node19\nnode 21 should be visited before node7\nnode 21 should be visited before node1\nnode 21 should be visited before node12\nnode 21 should be visited before node3\nnode 21 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,10,21,13,14,0,9,11,17,8,20,19,7,15,5,1,6,12,3,2,22,18,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph427",
        "image": "data/topology/graph_visual/medium/graph427.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 1 should be visited before node13\nnode 1 should be visited before node12\nnode 1 should be visited before node2\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node14\nnode 3 should be visited before node12\nnode 3 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node11\nnode 3 should be visited before node0\nnode 4 should be visited before node8\nnode 4 should be visited before node11\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node14\nnode 6 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node8\nnode 6 should be visited before node11\nnode 6 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node14\nnode 7 should be visited before node12\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 8 should be visited before node11\nnode 8 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node3\nnode 10 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 11 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node9\nnode 12 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node12\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 13 should be visited before node4\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node0\nnode 14 should be visited before node12\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,10,7,5,3,1,13,14,12,2,9,4,8,11,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph512",
        "image": "data/topology/graph_visual/medium/graph512.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 1 should be visited before node10\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 2 should be visited before node5\nnode 2 should be visited before node14\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node15\nnode 2 should be visited before node0\nnode 3 should be visited before node11\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node14\nnode 4 should be visited before node3\nnode 4 should be visited before node15\nnode 5 should be visited before node14\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node7\nnode 5 should be visited before node15\nnode 6 should be visited before node15\nnode 6 should be visited before node0\nnode 8 should be visited before node3\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node15\nnode 9 should be visited before node0\nnode 10 should be visited before node4\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node15\nnode 10 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 11 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node14\nnode 12 should be visited before node3\nnode 12 should be visited before node11\nnode 12 should be visited before node6\nnode 12 should be visited before node7\nnode 12 should be visited before node15\nnode 12 should be visited before node0\nnode 13 should be visited before node1\nnode 13 should be visited before node4\nnode 13 should be visited before node12\nnode 13 should be visited before node9\nnode 13 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 13 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node15\nnode 13 should be visited before node0\nnode 14 should be visited before node6\nnode 14 should be visited before node15\nnode 15 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,13,1,10,4,12,9,8,5,14,3,11,6,7,15,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph890",
        "image": "data/topology/graph_visual/medium/graph890.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node19\nnode 1 should be visited before node18\nnode 1 should be visited before node17\nnode 1 should be visited before node8\nnode 1 should be visited before node10\nnode 1 should be visited before node16\nnode 1 should be visited before node14\nnode 1 should be visited before node4\nnode 1 should be visited before node7\nnode 1 should be visited before node11\nnode 1 should be visited before node2\nnode 1 should be visited before node6\nnode 1 should be visited before node12\nnode 1 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node19\nnode 4 should be visited before node11\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node19\nnode 5 should be visited before node10\nnode 5 should be visited before node16\nnode 5 should be visited before node15\nnode 5 should be visited before node7\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node2\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node19\nnode 6 should be visited before node3\nnode 6 should be visited before node19\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node19\nnode 8 should be visited before node5\nnode 8 should be visited before node16\nnode 8 should be visited before node14\nnode 8 should be visited before node15\nnode 8 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node6\nnode 8 should be visited before node19\nnode 9 should be visited before node19\nnode 10 should be visited before node16\nnode 10 should be visited before node14\nnode 10 should be visited before node15\nnode 10 should be visited before node4\nnode 10 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node19\nnode 11 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node19\nnode 12 should be visited before node3\nnode 12 should be visited before node19\nnode 13 should be visited before node1\nnode 13 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node5\nnode 13 should be visited before node16\nnode 13 should be visited before node14\nnode 13 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node11\nnode 13 should be visited before node9\nnode 13 should be visited before node2\nnode 13 should be visited before node6\nnode 13 should be visited before node0\nnode 13 should be visited before node12\nnode 13 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node9\nnode 14 should be visited before node3\nnode 14 should be visited before node19\nnode 15 should be visited before node4\nnode 15 should be visited before node11\nnode 15 should be visited before node9\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 15 should be visited before node3\nnode 15 should be visited before node19\nnode 16 should be visited before node15\nnode 16 should be visited before node4\nnode 16 should be visited before node11\nnode 16 should be visited before node6\nnode 16 should be visited before node0\nnode 16 should be visited before node12\nnode 16 should be visited before node19\nnode 17 should be visited before node8\nnode 17 should be visited before node5\nnode 17 should be visited before node10\nnode 17 should be visited before node16\nnode 17 should be visited before node7\nnode 17 should be visited before node11\nnode 17 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node6\nnode 17 should be visited before node12\nnode 17 should be visited before node3\nnode 17 should be visited before node19\nnode 18 should be visited before node17\nnode 18 should be visited before node8\nnode 18 should be visited before node5\nnode 18 should be visited before node14\nnode 18 should be visited before node15\nnode 18 should be visited before node7\nnode 18 should be visited before node9\nnode 18 should be visited before node6\nnode 18 should be visited before node12\nnode 18 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,1,18,17,8,5,10,16,14,7,15,4,11,9,12,2,6,0,3,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph78",
        "image": "data/topology/graph_visual/medium/graph78.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node7\nnode 0 should be visited before node5\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 1 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node9\nnode 3 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node9\nnode 5 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node9\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,10,6,7,5,8,2,4,3,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph293",
        "image": "data/topology/graph_visual/medium/graph293.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node1\nnode 2 should be visited before node1\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 4 should be visited before node5\nnode 5 should be visited before node0\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node6\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 12 should be visited before node2\nnode 12 should be visited before node6\nnode 13 should be visited before node10\nnode 13 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,13,12,9,4,10,5,0,2,3,11,1,8,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph447",
        "image": "data/topology/graph_visual/medium/graph447.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 2 should be visited before node10\nnode 2 should be visited before node14\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 3 should be visited before node8\nnode 3 should be visited before node11\nnode 3 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node9\nnode 4 should be visited before node0\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 6 should be visited before node0\nnode 7 should be visited before node6\nnode 7 should be visited before node12\nnode 7 should be visited before node8\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node0\nnode 8 should be visited before node9\nnode 9 should be visited before node0\nnode 10 should be visited before node13\nnode 10 should be visited before node14\nnode 10 should be visited before node1\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node6\nnode 10 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node0\nnode 11 should be visited before node9\nnode 11 should be visited before node0\nnode 12 should be visited before node8\nnode 12 should be visited before node9\nnode 12 should be visited before node0\nnode 13 should be visited before node14\nnode 13 should be visited before node7\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node7\nnode 14 should be visited before node5\nnode 14 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,10,13,14,1,7,5,4,6,3,12,11,8,9,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph578",
        "image": "data/topology/graph_visual/medium/graph578.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node14\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 0 should be visited before node16\nnode 0 should be visited before node12\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 1 should be visited before node8\nnode 1 should be visited before node4\nnode 1 should be visited before node14\nnode 1 should be visited before node7\nnode 2 should be visited before node11\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node13\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 4 should be visited before node13\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node16\nnode 5 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node12\nnode 7 should be visited before node16\nnode 7 should be visited before node10\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node11\nnode 8 should be visited before node16\nnode 8 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node11\nnode 9 should be visited before node16\nnode 9 should be visited before node10\nnode 10 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node12\nnode 13 should be visited before node14\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 14 should be visited before node7\nnode 14 should be visited before node11\nnode 14 should be visited before node12\nnode 15 should be visited before node3\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 15 should be visited before node5\nnode 16 should be visited before node10\nnode 16 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,15,9,3,0,8,6,4,13,14,2,5,11,7,16,10,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph1181",
        "image": "data/topology/graph_visual/medium/graph1181.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node23\nnode 0 should be visited before node22\nnode 0 should be visited before node9\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 2 should be visited before node19\nnode 2 should be visited before node22\nnode 2 should be visited before node20\nnode 3 should be visited before node11\nnode 3 should be visited before node13\nnode 3 should be visited before node20\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node5\nnode 4 should be visited before node22\nnode 5 should be visited before node18\nnode 5 should be visited before node21\nnode 5 should be visited before node17\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 6 should be visited before node20\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 7 should be visited before node9\nnode 8 should be visited before node21\nnode 8 should be visited before node22\nnode 9 should be visited before node20\nnode 10 should be visited before node5\nnode 10 should be visited before node19\nnode 10 should be visited before node22\nnode 10 should be visited before node17\nnode 10 should be visited before node9\nnode 10 should be visited before node20\nnode 11 should be visited before node10\nnode 11 should be visited before node6\nnode 11 should be visited before node0\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 11 should be visited before node23\nnode 11 should be visited before node21\nnode 12 should be visited before node15\nnode 12 should be visited before node18\nnode 12 should be visited before node19\nnode 12 should be visited before node17\nnode 12 should be visited before node20\nnode 13 should be visited before node8\nnode 13 should be visited before node18\nnode 13 should be visited before node23\nnode 14 should be visited before node2\nnode 14 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node20\nnode 15 should be visited before node5\nnode 15 should be visited before node18\nnode 15 should be visited before node23\nnode 15 should be visited before node22\nnode 15 should be visited before node20\nnode 16 should be visited before node5\nnode 16 should be visited before node2\nnode 16 should be visited before node22\nnode 16 should be visited before node1\nnode 16 should be visited before node20\nnode 19 should be visited before node1\nnode 21 should be visited before node22\nnode 21 should be visited before node1\nnode 21 should be visited before node9\nnode 22 should be visited before node1\nnode 22 should be visited before node17\nnode 23 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,7,14,16,11,12,10,6,0,15,2,5,13,19,8,18,23,21,22,9,1,17,20."
            }
        ]
    },
    {
        "id": "topology-medium-graph1025",
        "image": "data/topology/graph_visual/medium/graph1025.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node16\nnode 0 should be visited before node9\nnode 0 should be visited before node18\nnode 0 should be visited before node8\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node14\nnode 0 should be visited before node6\nnode 1 should be visited before node19\nnode 1 should be visited before node6\nnode 2 should be visited before node14\nnode 2 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node14\nnode 3 should be visited before node19\nnode 4 should be visited before node5\nnode 4 should be visited before node17\nnode 4 should be visited before node16\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node18\nnode 4 should be visited before node3\nnode 4 should be visited before node14\nnode 5 should be visited before node17\nnode 5 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 5 should be visited before node20\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node19\nnode 5 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node21\nnode 7 should be visited before node14\nnode 7 should be visited before node19\nnode 8 should be visited before node1\nnode 8 should be visited before node2\nnode 9 should be visited before node18\nnode 9 should be visited before node3\nnode 9 should be visited before node21\nnode 9 should be visited before node20\nnode 9 should be visited before node14\nnode 9 should be visited before node19\nnode 9 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node3\nnode 10 should be visited before node21\nnode 10 should be visited before node8\nnode 10 should be visited before node2\nnode 10 should be visited before node14\nnode 10 should be visited before node19\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node18\nnode 11 should be visited before node21\nnode 11 should be visited before node1\nnode 11 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node11\nnode 12 should be visited before node9\nnode 12 should be visited before node15\nnode 12 should be visited before node13\nnode 12 should be visited before node3\nnode 12 should be visited before node21\nnode 12 should be visited before node8\nnode 12 should be visited before node14\nnode 13 should be visited before node3\nnode 13 should be visited before node20\nnode 13 should be visited before node8\nnode 13 should be visited before node1\nnode 13 should be visited before node14\nnode 13 should be visited before node6\nnode 14 should be visited before node19\nnode 14 should be visited before node6\nnode 15 should be visited before node18\nnode 15 should be visited before node3\nnode 15 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node1\nnode 15 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node21\nnode 16 should be visited before node20\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 17 should be visited before node16\nnode 17 should be visited before node7\nnode 17 should be visited before node18\nnode 17 should be visited before node3\nnode 17 should be visited before node21\nnode 17 should be visited before node20\nnode 17 should be visited before node1\nnode 17 should be visited before node2\nnode 17 should be visited before node6\nnode 18 should be visited before node3\nnode 18 should be visited before node21\nnode 18 should be visited before node20\nnode 18 should be visited before node8\nnode 18 should be visited before node1\nnode 18 should be visited before node6\nnode 20 should be visited before node2\nnode 21 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,4,0,5,17,16,10,11,9,7,13,15,18,3,21,20,8,1,2,14,19,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph716",
        "image": "data/topology/graph_visual/medium/graph716.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 1 should be visited before node16\nnode 1 should be visited before node3\nnode 1 should be visited before node0\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 2 should be visited before node17\nnode 2 should be visited before node12\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node14\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node13\nnode 4 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 5 should be visited before node17\nnode 5 should be visited before node12\nnode 5 should be visited before node16\nnode 5 should be visited before node11\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node7\nnode 8 should be visited before node9\nnode 8 should be visited before node15\nnode 8 should be visited before node2\nnode 8 should be visited before node17\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 10 should be visited before node1\nnode 10 should be visited before node16\nnode 10 should be visited before node11\nnode 10 should be visited before node6\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 11 should be visited before node3\nnode 11 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node1\nnode 12 should be visited before node16\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 14 should be visited before node7\nnode 15 should be visited before node2\nnode 15 should be visited before node17\nnode 15 should be visited before node12\nnode 15 should be visited before node10\nnode 15 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 16 should be visited before node0\nnode 16 should be visited before node6\nnode 16 should be visited before node4\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 16 should be visited before node13\nnode 17 should be visited before node10\nnode 17 should be visited before node1\nnode 17 should be visited before node16\nnode 17 should be visited before node11\nnode 17 should be visited before node3\nnode 17 should be visited before node6\nnode 17 should be visited before node4\nnode 17 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,8,9,15,2,17,12,10,1,11,16,3,0,6,4,14,13,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph695",
        "image": "data/topology/graph_visual/medium/graph695.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node17\nnode 0 should be visited before node6\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node8\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 0 should be visited before node12\nnode 0 should be visited before node3\nnode 1 should be visited before node0\nnode 1 should be visited before node17\nnode 1 should be visited before node6\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node5\nnode 3 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node9\nnode 4 should be visited before node10\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 8 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node5\nnode 11 should be visited before node9\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 13 should be visited before node1\nnode 13 should be visited before node15\nnode 13 should be visited before node0\nnode 13 should be visited before node17\nnode 13 should be visited before node6\nnode 13 should be visited before node14\nnode 13 should be visited before node16\nnode 13 should be visited before node2\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node3\nnode 13 should be visited before node5\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node4\nnode 14 should be visited before node9\nnode 14 should be visited before node12\nnode 14 should be visited before node3\nnode 14 should be visited before node5\nnode 15 should be visited before node17\nnode 15 should be visited before node6\nnode 15 should be visited before node8\nnode 15 should be visited before node7\nnode 15 should be visited before node11\nnode 15 should be visited before node9\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 16 should be visited before node2\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node12\nnode 16 should be visited before node3\nnode 16 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node8\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node12\nnode 17 should be visited before node10\nnode 17 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,1,15,0,17,6,14,16,2,8,4,7,11,9,12,10,3,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph760",
        "image": "data/topology/graph_visual/medium/graph760.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 1 should be visited before node15\nnode 1 should be visited before node0\nnode 1 should be visited before node17\nnode 1 should be visited before node18\nnode 1 should be visited before node9\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 2 should be visited before node18\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node12\nnode 3 should be visited before node17\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 5 should be visited before node6\nnode 5 should be visited before node11\nnode 7 should be visited before node16\nnode 7 should be visited before node3\nnode 7 should be visited before node2\nnode 7 should be visited before node12\nnode 7 should be visited before node18\nnode 7 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node6\nnode 8 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node12\nnode 10 should be visited before node18\nnode 10 should be visited before node8\nnode 10 should be visited before node5\nnode 12 should be visited before node18\nnode 12 should be visited before node4\nnode 13 should be visited before node12\nnode 13 should be visited before node17\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node15\nnode 14 should be visited before node16\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node17\nnode 14 should be visited before node18\nnode 14 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 15 should be visited before node10\nnode 15 should be visited before node16\nnode 15 should be visited before node0\nnode 15 should be visited before node13\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 15 should be visited before node17\nnode 15 should be visited before node9\nnode 15 should be visited before node5\nnode 15 should be visited before node6\nnode 16 should be visited before node3\nnode 16 should be visited before node0\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 17 should be visited before node18\nnode 17 should be visited before node9\nnode 17 should be visited before node4\nnode 18 should be visited before node9\nnode 18 should be visited before node8\nnode 18 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,14,1,15,10,16,13,3,0,2,12,5,17,18,9,8,4,6,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph133",
        "image": "data/topology/graph_visual/medium/graph133.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node0\nnode 6 should be visited before node11\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 7 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node1\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 10 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,9,10,11,3,2,8,7,5,4,0,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph661",
        "image": "data/topology/graph_visual/medium/graph661.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node8\nnode 0 should be visited before node4\nnode 0 should be visited before node12\nnode 0 should be visited before node14\nnode 0 should be visited before node2\nnode 0 should be visited before node16\nnode 0 should be visited before node13\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node10\nnode 1 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node5\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node10\nnode 4 should be visited before node12\nnode 4 should be visited before node17\nnode 4 should be visited before node16\nnode 4 should be visited before node10\nnode 4 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node15\nnode 6 should be visited before node0\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node17\nnode 6 should be visited before node5\nnode 6 should be visited before node15\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 7 should be visited before node14\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node11\nnode 7 should be visited before node1\nnode 7 should be visited before node15\nnode 8 should be visited before node4\nnode 8 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 8 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node12\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node13\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 11 should be visited before node10\nnode 11 should be visited before node15\nnode 12 should be visited before node17\nnode 12 should be visited before node5\nnode 12 should be visited before node16\nnode 12 should be visited before node3\nnode 12 should be visited before node1\nnode 12 should be visited before node10\nnode 12 should be visited before node15\nnode 13 should be visited before node3\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node15\nnode 14 should be visited before node2\nnode 14 should be visited before node13\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node1\nnode 14 should be visited before node10\nnode 14 should be visited before node15\nnode 16 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node10\nnode 16 should be visited before node15\nnode 17 should be visited before node13\nnode 17 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,7,9,0,8,14,4,2,12,11,17,5,16,13,3,1,10,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph858",
        "image": "data/topology/graph_visual/medium/graph858.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node7\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 0 should be visited before node10\nnode 0 should be visited before node14\nnode 0 should be visited before node18\nnode 0 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node15\nnode 2 should be visited before node15\nnode 2 should be visited before node8\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 5 should be visited before node3\nnode 5 should be visited before node19\nnode 5 should be visited before node15\nnode 5 should be visited before node8\nnode 6 should be visited before node1\nnode 6 should be visited before node9\nnode 6 should be visited before node17\nnode 6 should be visited before node5\nnode 6 should be visited before node18\nnode 6 should be visited before node19\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 9 should be visited before node5\nnode 9 should be visited before node3\nnode 9 should be visited before node4\nnode 9 should be visited before node15\nnode 10 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node18\nnode 10 should be visited before node3\nnode 10 should be visited before node2\nnode 10 should be visited before node8\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node4\nnode 11 should be visited before node15\nnode 12 should be visited before node6\nnode 12 should be visited before node17\nnode 12 should be visited before node5\nnode 12 should be visited before node14\nnode 12 should be visited before node18\nnode 12 should be visited before node3\nnode 12 should be visited before node19\nnode 12 should be visited before node4\nnode 12 should be visited before node8\nnode 13 should be visited before node12\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node9\nnode 13 should be visited before node17\nnode 13 should be visited before node2\nnode 13 should be visited before node15\nnode 14 should be visited before node18\nnode 14 should be visited before node3\nnode 14 should be visited before node2\nnode 16 should be visited before node0\nnode 16 should be visited before node12\nnode 16 should be visited before node14\nnode 16 should be visited before node3\nnode 16 should be visited before node4\nnode 16 should be visited before node2\nnode 16 should be visited before node15\nnode 17 should be visited before node5\nnode 17 should be visited before node18\nnode 17 should be visited before node4\nnode 17 should be visited before node2\nnode 18 should be visited before node3\nnode 18 should be visited before node4\nnode 18 should be visited before node2\nnode 18 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node2\nnode 19 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,16,0,7,13,10,12,6,1,17,9,14,5,18,19,3,4,2,15,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph87",
        "image": "data/topology/graph_visual/medium/graph87.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 0 should be visited before node10\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 1 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 3 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node10\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 6 should be visited before node10\nnode 6 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 7 should be visited before node1\nnode 7 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node10\nnode 8 should be visited before node1\nnode 8 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 10 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,9,8,7,2,0,5,6,10,1,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph1150",
        "image": "data/topology/graph_visual/medium/graph1150.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node12\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 0 should be visited before node16\nnode 0 should be visited before node10\nnode 0 should be visited before node17\nnode 0 should be visited before node6\nnode 0 should be visited before node9\nnode 0 should be visited before node19\nnode 0 should be visited before node20\nnode 0 should be visited before node15\nnode 0 should be visited before node13\nnode 0 should be visited before node18\nnode 1 should be visited before node14\nnode 1 should be visited before node0\nnode 1 should be visited before node12\nnode 1 should be visited before node11\nnode 1 should be visited before node3\nnode 1 should be visited before node16\nnode 1 should be visited before node2\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 1 should be visited before node19\nnode 1 should be visited before node20\nnode 1 should be visited before node15\nnode 1 should be visited before node21\nnode 1 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node19\nnode 2 should be visited before node7\nnode 2 should be visited before node21\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node2\nnode 3 should be visited before node10\nnode 3 should be visited before node4\nnode 3 should be visited before node17\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node19\nnode 3 should be visited before node20\nnode 3 should be visited before node7\nnode 3 should be visited before node21\nnode 4 should be visited before node17\nnode 4 should be visited before node9\nnode 4 should be visited before node19\nnode 4 should be visited before node20\nnode 4 should be visited before node21\nnode 4 should be visited before node18\nnode 5 should be visited before node22\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node12\nnode 5 should be visited before node11\nnode 5 should be visited before node8\nnode 5 should be visited before node16\nnode 5 should be visited before node4\nnode 5 should be visited before node17\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node20\nnode 5 should be visited before node15\nnode 5 should be visited before node7\nnode 5 should be visited before node21\nnode 5 should be visited before node18\nnode 6 should be visited before node9\nnode 6 should be visited before node19\nnode 6 should be visited before node20\nnode 6 should be visited before node15\nnode 6 should be visited before node13\nnode 6 should be visited before node7\nnode 6 should be visited before node21\nnode 6 should be visited before node18\nnode 7 should be visited before node18\nnode 8 should be visited before node16\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 8 should be visited before node19\nnode 8 should be visited before node20\nnode 8 should be visited before node15\nnode 8 should be visited before node13\nnode 8 should be visited before node21\nnode 8 should be visited before node18\nnode 9 should be visited before node19\nnode 9 should be visited before node20\nnode 9 should be visited before node15\nnode 9 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node21\nnode 10 should be visited before node4\nnode 10 should be visited before node17\nnode 10 should be visited before node6\nnode 10 should be visited before node19\nnode 10 should be visited before node20\nnode 10 should be visited before node15\nnode 10 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node21\nnode 10 should be visited before node18\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node17\nnode 11 should be visited before node6\nnode 11 should be visited before node9\nnode 11 should be visited before node20\nnode 11 should be visited before node15\nnode 11 should be visited before node13\nnode 11 should be visited before node21\nnode 11 should be visited before node18\nnode 12 should be visited before node3\nnode 12 should be visited before node16\nnode 12 should be visited before node10\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 12 should be visited before node20\nnode 12 should be visited before node15\nnode 12 should be visited before node13\nnode 12 should be visited before node7\nnode 12 should be visited before node21\nnode 12 should be visited before node18\nnode 13 should be visited before node7\nnode 13 should be visited before node18\nnode 14 should be visited before node0\nnode 14 should be visited before node12\nnode 14 should be visited before node3\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 14 should be visited before node9\nnode 14 should be visited before node20\nnode 14 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node21\nnode 14 should be visited before node18\nnode 15 should be visited before node21\nnode 16 should be visited before node2\nnode 16 should be visited before node10\nnode 16 should be visited before node4\nnode 16 should be visited before node17\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node20\nnode 16 should be visited before node15\nnode 16 should be visited before node13\nnode 16 should be visited before node7\nnode 16 should be visited before node21\nnode 16 should be visited before node18\nnode 17 should be visited before node6\nnode 17 should be visited before node9\nnode 17 should be visited before node15\nnode 17 should be visited before node13\nnode 17 should be visited before node18\nnode 19 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node7\nnode 19 should be visited before node21\nnode 20 should be visited before node13\nnode 20 should be visited before node7\nnode 20 should be visited before node18\nnode 21 should be visited before node18\nnode 22 should be visited before node1\nnode 22 should be visited before node0\nnode 22 should be visited before node3\nnode 22 should be visited before node8\nnode 22 should be visited before node16\nnode 22 should be visited before node10\nnode 22 should be visited before node4\nnode 22 should be visited before node17\nnode 22 should be visited before node6\nnode 22 should be visited before node9\nnode 22 should be visited before node20\nnode 22 should be visited before node7\nnode 22 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,22,1,14,0,12,11,3,8,16,2,10,4,17,6,9,19,20,15,13,21,7,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph1216",
        "image": "data/topology/graph_visual/medium/graph1216.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node20\nnode 1 should be visited before node14\nnode 1 should be visited before node23\nnode 1 should be visited before node6\nnode 2 should be visited before node13\nnode 2 should be visited before node22\nnode 2 should be visited before node9\nnode 2 should be visited before node5\nnode 2 should be visited before node19\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node20\nnode 4 should be visited before node0\nnode 4 should be visited before node15\nnode 4 should be visited before node20\nnode 5 should be visited before node10\nnode 5 should be visited before node14\nnode 5 should be visited before node23\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 7 should be visited before node11\nnode 7 should be visited before node1\nnode 7 should be visited before node23\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 8 should be visited before node0\nnode 9 should be visited before node17\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 10 should be visited before node20\nnode 11 should be visited before node23\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node8\nnode 11 should be visited before node3\nnode 12 should be visited before node16\nnode 12 should be visited before node17\nnode 12 should be visited before node18\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node10\nnode 12 should be visited before node1\nnode 12 should be visited before node4\nnode 12 should be visited before node15\nnode 12 should be visited before node3\nnode 13 should be visited before node22\nnode 13 should be visited before node17\nnode 13 should be visited before node11\nnode 13 should be visited before node1\nnode 13 should be visited before node23\nnode 13 should be visited before node6\nnode 13 should be visited before node15\nnode 13 should be visited before node3\nnode 14 should be visited before node23\nnode 14 should be visited before node0\nnode 14 should be visited before node20\nnode 16 should be visited before node13\nnode 16 should be visited before node9\nnode 16 should be visited before node17\nnode 16 should be visited before node10\nnode 16 should be visited before node1\nnode 16 should be visited before node23\nnode 16 should be visited before node15\nnode 16 should be visited before node20\nnode 16 should be visited before node3\nnode 17 should be visited before node7\nnode 17 should be visited before node23\nnode 17 should be visited before node4\nnode 17 should be visited before node15\nnode 18 should be visited before node5\nnode 18 should be visited before node19\nnode 18 should be visited before node7\nnode 18 should be visited before node23\nnode 18 should be visited before node6\nnode 18 should be visited before node15\nnode 18 should be visited before node20\nnode 19 should be visited before node7\nnode 19 should be visited before node10\nnode 19 should be visited before node6\nnode 19 should be visited before node4\nnode 19 should be visited before node8\nnode 21 should be visited before node16\nnode 21 should be visited before node22\nnode 21 should be visited before node9\nnode 21 should be visited before node18\nnode 21 should be visited before node7\nnode 21 should be visited before node10\nnode 21 should be visited before node23\nnode 21 should be visited before node6\nnode 21 should be visited before node4\nnode 21 should be visited before node15\nnode 22 should be visited before node18\nnode 22 should be visited before node5\nnode 22 should be visited before node10\nnode 22 should be visited before node14\nnode 22 should be visited before node23\nnode 22 should be visited before node6\nnode 22 should be visited before node4\nnode 22 should be visited before node8\nnode 22 should be visited before node0\nnode 22 should be visited before node15\nnode 22 should be visited before node3\nnode 23 should be visited before node4\nnode 23 should be visited before node8\nnode 23 should be visited before node15\nnode 23 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,12,21,16,13,9,22,17,18,5,19,7,10,11,1,14,6,23,4,8,3,15,0,20."
            }
        ]
    },
    {
        "id": "topology-medium-graph693",
        "image": "data/topology/graph_visual/medium/graph693.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node17\nnode 0 should be visited before node15\nnode 0 should be visited before node16\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node8\nnode 0 should be visited before node14\nnode 0 should be visited before node11\nnode 0 should be visited before node9\nnode 0 should be visited before node12\nnode 0 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node14\nnode 1 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node4\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 3 should be visited before node10\nnode 3 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node6\nnode 5 should be visited before node8\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node12\nnode 5 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 7 should be visited before node15\nnode 7 should be visited before node16\nnode 7 should be visited before node1\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node8\nnode 7 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node10\nnode 8 should be visited before node3\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 9 should be visited before node10\nnode 10 should be visited before node4\nnode 11 should be visited before node12\nnode 12 should be visited before node10\nnode 12 should be visited before node4\nnode 13 should be visited before node6\nnode 13 should be visited before node14\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 14 should be visited before node9\nnode 14 should be visited before node10\nnode 14 should be visited before node4\nnode 15 should be visited before node16\nnode 15 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node8\nnode 15 should be visited before node3\nnode 15 should be visited before node14\nnode 15 should be visited before node11\nnode 15 should be visited before node12\nnode 15 should be visited before node10\nnode 15 should be visited before node4\nnode 16 should be visited before node5\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node14\nnode 16 should be visited before node9\nnode 16 should be visited before node10\nnode 16 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 17 should be visited before node16\nnode 17 should be visited before node1\nnode 17 should be visited before node5\nnode 17 should be visited before node6\nnode 17 should be visited before node8\nnode 17 should be visited before node3\nnode 17 should be visited before node14\nnode 17 should be visited before node11\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 17 should be visited before node10\nnode 17 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,17,7,15,16,1,5,2,13,6,8,3,14,11,9,12,10,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph468",
        "image": "data/topology/graph_visual/medium/graph468.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 1 should be visited before node13\nnode 1 should be visited before node9\nnode 2 should be visited before node15\nnode 2 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node11\nnode 3 should be visited before node15\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node10\nnode 3 should be visited before node14\nnode 3 should be visited before node9\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node11\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 6 should be visited before node1\nnode 6 should be visited before node13\nnode 6 should be visited before node8\nnode 8 should be visited before node0\nnode 8 should be visited before node11\nnode 9 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node8\nnode 12 should be visited before node1\nnode 12 should be visited before node14\nnode 12 should be visited before node8\nnode 13 should be visited before node10\nnode 13 should be visited before node14\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 15 should be visited before node9\nnode 15 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,5,12,4,15,6,1,13,10,14,9,8,0,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph870",
        "image": "data/topology/graph_visual/medium/graph870.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node4\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 0 should be visited before node11\nnode 0 should be visited before node16\nnode 0 should be visited before node19\nnode 0 should be visited before node15\nnode 0 should be visited before node17\nnode 0 should be visited before node3\nnode 0 should be visited before node18\nnode 0 should be visited before node8\nnode 1 should be visited before node16\nnode 1 should be visited before node19\nnode 1 should be visited before node6\nnode 1 should be visited before node15\nnode 1 should be visited before node17\nnode 1 should be visited before node18\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node11\nnode 2 should be visited before node16\nnode 2 should be visited before node19\nnode 2 should be visited before node6\nnode 2 should be visited before node14\nnode 2 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 3 should be visited before node18\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node10\nnode 4 should be visited before node16\nnode 4 should be visited before node6\nnode 4 should be visited before node14\nnode 4 should be visited before node15\nnode 4 should be visited before node17\nnode 4 should be visited before node18\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node10\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node16\nnode 7 should be visited before node19\nnode 7 should be visited before node14\nnode 7 should be visited before node15\nnode 7 should be visited before node17\nnode 7 should be visited before node3\nnode 7 should be visited before node18\nnode 9 should be visited before node13\nnode 9 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node6\nnode 9 should be visited before node14\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node18\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node11\nnode 10 should be visited before node14\nnode 10 should be visited before node15\nnode 10 should be visited before node17\nnode 10 should be visited before node3\nnode 10 should be visited before node18\nnode 10 should be visited before node5\nnode 11 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 11 should be visited before node18\nnode 11 should be visited before node8\nnode 12 should be visited before node7\nnode 12 should be visited before node2\nnode 12 should be visited before node10\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node16\nnode 12 should be visited before node19\nnode 12 should be visited before node15\nnode 12 should be visited before node17\nnode 12 should be visited before node3\nnode 12 should be visited before node18\nnode 12 should be visited before node5\nnode 13 should be visited before node2\nnode 13 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node19\nnode 13 should be visited before node14\nnode 13 should be visited before node15\nnode 13 should be visited before node17\nnode 13 should be visited before node18\nnode 13 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node3\nnode 14 should be visited before node18\nnode 14 should be visited before node5\nnode 15 should be visited before node17\nnode 15 should be visited before node3\nnode 15 should be visited before node18\nnode 15 should be visited before node8\nnode 16 should be visited before node19\nnode 16 should be visited before node6\nnode 16 should be visited before node14\nnode 16 should be visited before node15\nnode 16 should be visited before node17\nnode 16 should be visited before node8\nnode 17 should be visited before node3\nnode 17 should be visited before node18\nnode 18 should be visited before node8\nnode 18 should be visited before node5\nnode 19 should be visited before node6\nnode 19 should be visited before node14\nnode 19 should be visited before node17\nnode 19 should be visited before node3\nnode 19 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,12,9,4,7,13,2,10,1,11,16,19,6,14,15,17,3,18,8,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph532",
        "image": "data/topology/graph_visual/medium/graph532.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 1 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 2 should be visited before node8\nnode 2 should be visited before node7\nnode 2 should be visited before node10\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node15\nnode 4 should be visited before node12\nnode 4 should be visited before node9\nnode 4 should be visited before node8\nnode 4 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node11\nnode 4 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node2\nnode 5 should be visited before node13\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node14\nnode 6 should be visited before node2\nnode 6 should be visited before node13\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 10 should be visited before node1\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node1\nnode 12 should be visited before node3\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 13 should be visited before node0\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 13 should be visited before node1\nnode 13 should be visited before node3\nnode 14 should be visited before node2\nnode 14 should be visited before node13\nnode 14 should be visited before node15\nnode 14 should be visited before node12\nnode 14 should be visited before node9\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 14 should be visited before node1\nnode 15 should be visited before node12\nnode 15 should be visited before node9\nnode 15 should be visited before node8\nnode 15 should be visited before node10\nnode 15 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,6,5,14,2,13,15,12,9,8,0,7,10,11,1,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph949",
        "image": "data/topology/graph_visual/medium/graph949.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node15\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node13\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 1 should be visited before node9\nnode 1 should be visited before node18\nnode 1 should be visited before node16\nnode 1 should be visited before node8\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node13\nnode 1 should be visited before node12\nnode 1 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node4\nnode 2 should be visited before node19\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 3 should be visited before node4\nnode 3 should be visited before node19\nnode 3 should be visited before node12\nnode 3 should be visited before node6\nnode 4 should be visited before node13\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node3\nnode 7 should be visited before node13\nnode 7 should be visited before node12\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 8 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node19\nnode 9 should be visited before node18\nnode 9 should be visited before node16\nnode 9 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node19\nnode 10 should be visited before node13\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node13\nnode 11 should be visited before node12\nnode 11 should be visited before node5\nnode 13 should be visited before node6\nnode 14 should be visited before node9\nnode 14 should be visited before node18\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node4\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node12\nnode 15 should be visited before node5\nnode 15 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 16 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node4\nnode 16 should be visited before node19\nnode 16 should be visited before node13\nnode 16 should be visited before node12\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 17 should be visited before node18\nnode 17 should be visited before node0\nnode 17 should be visited before node4\nnode 17 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node5\nnode 18 should be visited before node16\nnode 18 should be visited before node8\nnode 18 should be visited before node7\nnode 18 should be visited before node15\nnode 18 should be visited before node11\nnode 18 should be visited before node4\nnode 18 should be visited before node19\nnode 18 should be visited before node13\nnode 18 should be visited before node12\nnode 18 should be visited before node5\nnode 18 should be visited before node6\nnode 19 should be visited before node12\nnode 19 should be visited before node5\nnode 19 should be visited before node6\nnode 20 should be visited before node9\nnode 20 should be visited before node16\nnode 20 should be visited before node7\nnode 20 should be visited before node15\nnode 20 should be visited before node11\nnode 20 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,17,20,14,9,18,16,8,7,2,0,15,10,11,3,4,19,13,12,5,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph287",
        "image": "data/topology/graph_visual/medium/graph287.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node2\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node12\nnode 2 should be visited before node7\nnode 3 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node13\nnode 5 should be visited before node0\nnode 6 should be visited before node13\nnode 7 should be visited before node3\nnode 7 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node6\nnode 11 should be visited before node13\nnode 11 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,10,8,5,0,2,11,1,4,7,6,3,12,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph47",
        "image": "data/topology/graph_visual/medium/graph47.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 2 should be visited before node3\nnode 4 should be visited before node2\nnode 5 should be visited before node7\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node1\nnode 10 should be visited before node4\nnode 10 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,8,9,1,0,6,5,7,4,2,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph730",
        "image": "data/topology/graph_visual/medium/graph730.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 0 should be visited before node14\nnode 1 should be visited before node0\nnode 1 should be visited before node13\nnode 1 should be visited before node3\nnode 1 should be visited before node11\nnode 1 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node6\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node9\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 7 should be visited before node15\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node18\nnode 9 should be visited before node11\nnode 10 should be visited before node1\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 12 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node11\nnode 13 should be visited before node18\nnode 16 should be visited before node8\nnode 16 should be visited before node5\nnode 16 should be visited before node6\nnode 16 should be visited before node14\nnode 16 should be visited before node18\nnode 17 should be visited before node13\nnode 17 should be visited before node9\nnode 17 should be visited before node15\nnode 17 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,12,16,17,1,8,0,13,4,5,2,18,7,3,14,15,9,6,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph1194",
        "image": "data/topology/graph_visual/medium/graph1194.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node22\nnode 0 should be visited before node5\nnode 2 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node19\nnode 4 should be visited before node15\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 4 should be visited before node21\nnode 4 should be visited before node18\nnode 4 should be visited before node3\nnode 4 should be visited before node22\nnode 4 should be visited before node5\nnode 6 should be visited before node17\nnode 6 should be visited before node3\nnode 7 should be visited before node22\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 8 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node15\nnode 8 should be visited before node0\nnode 8 should be visited before node18\nnode 8 should be visited before node17\nnode 8 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node2\nnode 8 should be visited before node5\nnode 9 should be visited before node20\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node21\nnode 9 should be visited before node17\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node21\nnode 10 should be visited before node18\nnode 10 should be visited before node13\nnode 10 should be visited before node22\nnode 11 should be visited before node9\nnode 11 should be visited before node16\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node6\nnode 11 should be visited before node17\nnode 11 should be visited before node7\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 11 should be visited before node5\nnode 12 should be visited before node18\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node2\nnode 12 should be visited before node5\nnode 13 should be visited before node22\nnode 13 should be visited before node2\nnode 14 should be visited before node21\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node18\nnode 15 should be visited before node7\nnode 15 should be visited before node1\nnode 16 should be visited before node14\nnode 16 should be visited before node17\nnode 16 should be visited before node3\nnode 16 should be visited before node22\nnode 17 should be visited before node7\nnode 17 should be visited before node13\nnode 17 should be visited before node2\nnode 18 should be visited before node7\nnode 18 should be visited before node5\nnode 19 should be visited before node10\nnode 19 should be visited before node12\nnode 19 should be visited before node21\nnode 19 should be visited before node22\nnode 19 should be visited before node2\nnode 20 should be visited before node19\nnode 20 should be visited before node10\nnode 20 should be visited before node6\nnode 20 should be visited before node17\nnode 20 should be visited before node3\nnode 20 should be visited before node22\nnode 21 should be visited before node6\nnode 21 should be visited before node18\nnode 21 should be visited before node17\nnode 21 should be visited before node3\nnode 22 should be visited before node5\nnode 23 should be visited before node15\nnode 23 should be visited before node0\nnode 23 should be visited before node17\nnode 23 should be visited before node3\nnode 23 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,23,11,15,9,16,20,14,19,10,12,0,21,1,6,18,17,3,7,13,22,2,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph1115",
        "image": "data/topology/graph_visual/medium/graph1115.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node17\nnode 0 should be visited before node19\nnode 0 should be visited before node12\nnode 0 should be visited before node18\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node19\nnode 1 should be visited before node12\nnode 1 should be visited before node21\nnode 1 should be visited before node20\nnode 1 should be visited before node15\nnode 2 should be visited before node19\nnode 2 should be visited before node12\nnode 2 should be visited before node21\nnode 2 should be visited before node20\nnode 2 should be visited before node5\nnode 2 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node19\nnode 3 should be visited before node18\nnode 3 should be visited before node21\nnode 3 should be visited before node20\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node21\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 5 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node17\nnode 6 should be visited before node18\nnode 6 should be visited before node21\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node16\nnode 7 should be visited before node4\nnode 7 should be visited before node17\nnode 7 should be visited before node2\nnode 7 should be visited before node19\nnode 7 should be visited before node5\nnode 7 should be visited before node11\nnode 7 should be visited before node15\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node12\nnode 8 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node18\nnode 9 should be visited before node21\nnode 9 should be visited before node20\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node15\nnode 10 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node18\nnode 10 should be visited before node11\nnode 11 should be visited before node15\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 13 should be visited before node1\nnode 13 should be visited before node19\nnode 13 should be visited before node20\nnode 13 should be visited before node5\nnode 13 should be visited before node11\nnode 14 should be visited before node4\nnode 14 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node18\nnode 14 should be visited before node20\nnode 16 should be visited before node13\nnode 16 should be visited before node3\nnode 16 should be visited before node17\nnode 16 should be visited before node19\nnode 16 should be visited before node18\nnode 16 should be visited before node5\nnode 17 should be visited before node2\nnode 17 should be visited before node12\nnode 17 should be visited before node21\nnode 17 should be visited before node20\nnode 17 should be visited before node5\nnode 18 should be visited before node21\nnode 18 should be visited before node20\nnode 18 should be visited before node15\nnode 19 should be visited before node12\nnode 19 should be visited before node21\nnode 19 should be visited before node20\nnode 19 should be visited before node5\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 21 should be visited before node20\nnode 21 should be visited before node5\nnode 22 should be visited before node7\nnode 22 should be visited before node10\nnode 22 should be visited before node16\nnode 22 should be visited before node13\nnode 22 should be visited before node1\nnode 22 should be visited before node14\nnode 22 should be visited before node4\nnode 22 should be visited before node0\nnode 22 should be visited before node2\nnode 22 should be visited before node19\nnode 22 should be visited before node18\nnode 22 should be visited before node21\nnode 22 should be visited before node20\nnode 22 should be visited before node11\nnode 22 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,22,9,14,6,7,10,16,4,13,3,1,0,17,2,19,12,18,21,20,5,11,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph756",
        "image": "data/topology/graph_visual/medium/graph756.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node17\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 0 should be visited before node16\nnode 0 should be visited before node13\nnode 1 should be visited before node7\nnode 1 should be visited before node15\nnode 1 should be visited before node8\nnode 1 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node7\nnode 2 should be visited before node15\nnode 2 should be visited before node8\nnode 2 should be visited before node16\nnode 2 should be visited before node13\nnode 2 should be visited before node10\nnode 3 should be visited before node18\nnode 3 should be visited before node4\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node8\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 5 should be visited before node11\nnode 5 should be visited before node4\nnode 5 should be visited before node9\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node13\nnode 6 should be visited before node10\nnode 7 should be visited before node15\nnode 7 should be visited before node8\nnode 7 should be visited before node13\nnode 8 should be visited before node16\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node13\nnode 11 should be visited before node18\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node12\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 11 should be visited before node8\nnode 11 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node15\nnode 12 should be visited before node16\nnode 13 should be visited before node10\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 15 should be visited before node16\nnode 15 should be visited before node13\nnode 15 should be visited before node10\nnode 16 should be visited before node13\nnode 17 should be visited before node5\nnode 17 should be visited before node11\nnode 17 should be visited before node18\nnode 17 should be visited before node4\nnode 17 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node1\nnode 18 should be visited before node4\nnode 18 should be visited before node9\nnode 18 should be visited before node2\nnode 18 should be visited before node7\nnode 18 should be visited before node8\nnode 18 should be visited before node16\nnode 18 should be visited before node13\nnode 18 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,6,0,17,5,11,18,4,9,14,2,12,1,7,15,8,16,13,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph854",
        "image": "data/topology/graph_visual/medium/graph854.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node10\nnode 0 should be visited before node11\nnode 0 should be visited before node17\nnode 1 should be visited before node14\nnode 1 should be visited before node3\nnode 1 should be visited before node19\nnode 1 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 3 should be visited before node16\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 4 should be visited before node2\nnode 4 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node15\nnode 5 should be visited before node19\nnode 5 should be visited before node10\nnode 5 should be visited before node17\nnode 6 should be visited before node17\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node17\nnode 9 should be visited before node17\nnode 10 should be visited before node11\nnode 10 should be visited before node17\nnode 12 should be visited before node13\nnode 12 should be visited before node14\nnode 12 should be visited before node3\nnode 12 should be visited before node19\nnode 12 should be visited before node16\nnode 12 should be visited before node0\nnode 12 should be visited before node10\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 13 should be visited before node0\nnode 13 should be visited before node9\nnode 13 should be visited before node6\nnode 13 should be visited before node10\nnode 13 should be visited before node17\nnode 14 should be visited before node19\nnode 14 should be visited before node6\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node19\nnode 15 should be visited before node2\nnode 15 should be visited before node6\nnode 15 should be visited before node11\nnode 16 should be visited before node2\nnode 16 should be visited before node0\nnode 16 should be visited before node7\nnode 16 should be visited before node17\nnode 18 should be visited before node8\nnode 18 should be visited before node12\nnode 18 should be visited before node1\nnode 18 should be visited before node13\nnode 18 should be visited before node15\nnode 18 should be visited before node3\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 18 should be visited before node2\nnode 18 should be visited before node6\nnode 19 should be visited before node0\nnode 19 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node11\nnode 19 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,18,8,12,15,1,13,14,3,19,16,9,2,0,7,6,10,11,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph72",
        "image": "data/topology/graph_visual/medium/graph72.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 1 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 3 should be visited before node8\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node8\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 6 should be visited before node10\nnode 7 should be visited before node5\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node1\nnode 9 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,9,7,5,3,6,8,4,2,1,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph1141",
        "image": "data/topology/graph_visual/medium/graph1141.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node21\nnode 0 should be visited before node18\nnode 0 should be visited before node2\nnode 1 should be visited before node16\nnode 1 should be visited before node10\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node22\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node6\nnode 1 should be visited before node21\nnode 1 should be visited before node18\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 2 should be visited before node12\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node20\nnode 3 should be visited before node18\nnode 3 should be visited before node2\nnode 3 should be visited before node12\nnode 3 should be visited before node5\nnode 4 should be visited before node22\nnode 4 should be visited before node9\nnode 4 should be visited before node0\nnode 4 should be visited before node20\nnode 4 should be visited before node6\nnode 4 should be visited before node21\nnode 4 should be visited before node18\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 6 should be visited before node21\nnode 6 should be visited before node18\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 7 should be visited before node20\nnode 7 should be visited before node6\nnode 7 should be visited before node18\nnode 7 should be visited before node12\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node21\nnode 9 should be visited before node12\nnode 9 should be visited before node5\nnode 10 should be visited before node15\nnode 10 should be visited before node4\nnode 10 should be visited before node22\nnode 10 should be visited before node9\nnode 10 should be visited before node20\nnode 10 should be visited before node6\nnode 10 should be visited before node18\nnode 10 should be visited before node2\nnode 10 should be visited before node5\nnode 11 should be visited before node17\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node22\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 11 should be visited before node20\nnode 11 should be visited before node6\nnode 11 should be visited before node21\nnode 11 should be visited before node18\nnode 11 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 13 should be visited before node14\nnode 13 should be visited before node10\nnode 13 should be visited before node3\nnode 13 should be visited before node4\nnode 13 should be visited before node22\nnode 13 should be visited before node9\nnode 13 should be visited before node7\nnode 13 should be visited before node0\nnode 13 should be visited before node6\nnode 13 should be visited before node21\nnode 13 should be visited before node18\nnode 13 should be visited before node2\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 14 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node15\nnode 14 should be visited before node4\nnode 14 should be visited before node22\nnode 14 should be visited before node0\nnode 14 should be visited before node20\nnode 14 should be visited before node6\nnode 14 should be visited before node21\nnode 14 should be visited before node18\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node8\nnode 15 should be visited before node4\nnode 15 should be visited before node22\nnode 15 should be visited before node9\nnode 15 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node18\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 16 should be visited before node17\nnode 16 should be visited before node3\nnode 16 should be visited before node15\nnode 16 should be visited before node4\nnode 16 should be visited before node22\nnode 16 should be visited before node7\nnode 16 should be visited before node0\nnode 16 should be visited before node6\nnode 16 should be visited before node21\nnode 16 should be visited before node18\nnode 16 should be visited before node2\nnode 16 should be visited before node12\nnode 16 should be visited before node8\nnode 16 should be visited before node5\nnode 17 should be visited before node3\nnode 17 should be visited before node15\nnode 17 should be visited before node4\nnode 17 should be visited before node22\nnode 17 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node20\nnode 17 should be visited before node21\nnode 17 should be visited before node18\nnode 17 should be visited before node8\nnode 18 should be visited before node12\nnode 18 should be visited before node5\nnode 19 should be visited before node13\nnode 19 should be visited before node1\nnode 19 should be visited before node14\nnode 19 should be visited before node16\nnode 19 should be visited before node11\nnode 19 should be visited before node17\nnode 19 should be visited before node15\nnode 19 should be visited before node22\nnode 19 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node0\nnode 19 should be visited before node20\nnode 19 should be visited before node6\nnode 19 should be visited before node21\nnode 19 should be visited before node12\nnode 19 should be visited before node8\nnode 20 should be visited before node6\nnode 20 should be visited before node12\nnode 21 should be visited before node18\nnode 21 should be visited before node12\nnode 21 should be visited before node5\nnode 22 should be visited before node7\nnode 22 should be visited before node6\nnode 22 should be visited before node21\nnode 22 should be visited before node2\nnode 22 should be visited before node12\nnode 22 should be visited before node8\nnode 22 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,13,1,14,16,11,17,10,3,15,4,22,9,7,0,20,2,6,21,18,12,8,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph794",
        "image": "data/topology/graph_visual/medium/graph794.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node7\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 3 should be visited before node14\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node13\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 4 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 6 should be visited before node18\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 6 should be visited before node12\nnode 6 should be visited before node17\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node13\nnode 6 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 8 should be visited before node12\nnode 8 should be visited before node17\nnode 8 should be visited before node15\nnode 8 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 9 should be visited before node16\nnode 9 should be visited before node17\nnode 9 should be visited before node15\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node13\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node13\nnode 10 should be visited before node2\nnode 10 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 11 should be visited before node5\nnode 11 should be visited before node4\nnode 11 should be visited before node1\nnode 12 should be visited before node17\nnode 12 should be visited before node15\nnode 12 should be visited before node11\nnode 12 should be visited before node14\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 12 should be visited before node5\nnode 12 should be visited before node4\nnode 12 should be visited before node1\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 13 should be visited before node1\nnode 14 should be visited before node7\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node7\nnode 15 should be visited before node2\nnode 15 should be visited before node1\nnode 16 should be visited before node8\nnode 16 should be visited before node17\nnode 16 should be visited before node15\nnode 16 should be visited before node11\nnode 16 should be visited before node10\nnode 16 should be visited before node3\nnode 16 should be visited before node0\nnode 16 should be visited before node7\nnode 16 should be visited before node1\nnode 17 should be visited before node15\nnode 17 should be visited before node10\nnode 17 should be visited before node3\nnode 17 should be visited before node14\nnode 17 should be visited before node0\nnode 17 should be visited before node7\nnode 17 should be visited before node2\nnode 17 should be visited before node4\nnode 17 should be visited before node1\nnode 18 should be visited before node9\nnode 18 should be visited before node15\nnode 18 should be visited before node11\nnode 18 should be visited before node7\nnode 18 should be visited before node5\nnode 18 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,18,9,16,8,12,17,11,15,10,3,14,0,7,13,2,5,4,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph603",
        "image": "data/topology/graph_visual/medium/graph603.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node16\nnode 0 should be visited before node3\nnode 0 should be visited before node7\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 1 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node10\nnode 3 should be visited before node6\nnode 4 should be visited before node1\nnode 4 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node10\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 7 should be visited before node10\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node6\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node14\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 9 should be visited before node11\nnode 11 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node5\nnode 12 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node10\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node6\nnode 13 should be visited before node9\nnode 13 should be visited before node14\nnode 13 should be visited before node0\nnode 13 should be visited before node16\nnode 13 should be visited before node3\nnode 13 should be visited before node5\nnode 13 should be visited before node7\nnode 13 should be visited before node2\nnode 13 should be visited before node4\nnode 13 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node11\nnode 13 should be visited before node6\nnode 14 should be visited before node0\nnode 14 should be visited before node16\nnode 14 should be visited before node3\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node6\nnode 15 should be visited before node12\nnode 15 should be visited before node8\nnode 15 should be visited before node16\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 15 should be visited before node7\nnode 15 should be visited before node2\nnode 15 should be visited before node10\nnode 15 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node6\nnode 16 should be visited before node5\nnode 16 should be visited before node7\nnode 16 should be visited before node4\nnode 16 should be visited before node1\nnode 16 should be visited before node11\nnode 16 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,15,9,12,8,14,0,16,3,5,7,2,4,10,1,11,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1009",
        "image": "data/topology/graph_visual/medium/graph1009.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node14\nnode 0 should be visited before node12\nnode 1 should be visited before node16\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 2 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node20\nnode 2 should be visited before node21\nnode 4 should be visited before node14\nnode 5 should be visited before node15\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node17\nnode 5 should be visited before node21\nnode 6 should be visited before node14\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 7 should be visited before node17\nnode 7 should be visited before node12\nnode 8 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node6\nnode 10 should be visited before node6\nnode 10 should be visited before node4\nnode 10 should be visited before node8\nnode 10 should be visited before node14\nnode 11 should be visited before node9\nnode 11 should be visited before node16\nnode 11 should be visited before node15\nnode 11 should be visited before node17\nnode 11 should be visited before node21\nnode 13 should be visited before node19\nnode 13 should be visited before node8\nnode 14 should be visited before node21\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node14\nnode 16 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node10\nnode 16 should be visited before node17\nnode 16 should be visited before node12\nnode 18 should be visited before node14\nnode 18 should be visited before node12\nnode 18 should be visited before node20\nnode 19 should be visited before node8\nnode 19 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,5,7,11,13,9,16,15,19,3,17,2,18,10,12,20,6,4,8,14,21."
            }
        ]
    },
    {
        "id": "topology-medium-graph788",
        "image": "data/topology/graph_visual/medium/graph788.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node16\nnode 0 should be visited before node6\nnode 0 should be visited before node18\nnode 0 should be visited before node13\nnode 1 should be visited before node2\nnode 3 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node16\nnode 3 should be visited before node6\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 4 should be visited before node5\nnode 4 should be visited before node17\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node0\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node1\nnode 4 should be visited before node11\nnode 4 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node17\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node0\nnode 5 should be visited before node16\nnode 5 should be visited before node6\nnode 5 should be visited before node18\nnode 5 should be visited before node8\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 6 should be visited before node18\nnode 6 should be visited before node13\nnode 6 should be visited before node8\nnode 6 should be visited before node1\nnode 6 should be visited before node11\nnode 6 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node12\nnode 7 should be visited before node15\nnode 7 should be visited before node16\nnode 7 should be visited before node6\nnode 7 should be visited before node18\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node14\nnode 9 should be visited before node12\nnode 9 should be visited before node15\nnode 9 should be visited before node0\nnode 9 should be visited before node16\nnode 9 should be visited before node6\nnode 9 should be visited before node18\nnode 9 should be visited before node13\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node18\nnode 10 should be visited before node13\nnode 11 should be visited before node2\nnode 12 should be visited before node15\nnode 12 should be visited before node16\nnode 12 should be visited before node6\nnode 12 should be visited before node13\nnode 12 should be visited before node8\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node2\nnode 13 should be visited before node11\nnode 13 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node8\nnode 14 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node6\nnode 15 should be visited before node18\nnode 15 should be visited before node13\nnode 15 should be visited before node8\nnode 15 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node2\nnode 16 should be visited before node18\nnode 16 should be visited before node1\nnode 16 should be visited before node11\nnode 16 should be visited before node2\nnode 17 should be visited before node9\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node6\nnode 17 should be visited before node18\nnode 17 should be visited before node11\nnode 18 should be visited before node13\nnode 18 should be visited before node8\nnode 18 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,10,17,9,7,3,14,12,0,15,16,6,18,13,8,1,11,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph449",
        "image": "data/topology/graph_visual/medium/graph449.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 0 should be visited before node13\nnode 1 should be visited before node6\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 1 should be visited before node11\nnode 1 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node11\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 3 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node7\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 6 should be visited before node12\nnode 6 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node13\nnode 6 should be visited before node4\nnode 7 should be visited before node11\nnode 7 should be visited before node13\nnode 7 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 8 should be visited before node11\nnode 9 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node12\nnode 10 should be visited before node8\nnode 10 should be visited before node3\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node13\nnode 10 should be visited before node4\nnode 11 should be visited before node13\nnode 11 should be visited before node4\nnode 12 should be visited before node5\nnode 12 should be visited before node3\nnode 12 should be visited before node9\nnode 12 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node13\nnode 12 should be visited before node4\nnode 13 should be visited before node4\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 14 should be visited before node5\nnode 14 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node0\nnode 14 should be visited before node2\nnode 14 should be visited before node7\nnode 14 should be visited before node11\nnode 14 should be visited before node13\nnode 14 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,10,1,6,12,8,5,3,9,0,2,7,11,13,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph124",
        "image": "data/topology/graph_visual/medium/graph124.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node0\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 2 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 6 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 8 should be visited before node10\nnode 8 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 10 should be visited before node6\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node10\nnode 11 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,5,4,2,11,3,9,7,8,10,6,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph475",
        "image": "data/topology/graph_visual/medium/graph475.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node2\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 1 should be visited before node13\nnode 1 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 4 should be visited before node15\nnode 4 should be visited before node2\nnode 5 should be visited before node15\nnode 5 should be visited before node0\nnode 6 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 8 should be visited before node13\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 14 should be visited before node15\nnode 14 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,9,14,5,6,11,15,3,1,7,8,0,13,2,10,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph158",
        "image": "data/topology/graph_visual/medium/graph158.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node6\nnode 1 should be visited before node9\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node10\nnode 1 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node4\nnode 5 should be visited before node10\nnode 5 should be visited before node4\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 7 should be visited before node3\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 7 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node0\nnode 8 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node3\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node10\nnode 11 should be visited before node8\nnode 11 should be visited before node3\nnode 11 should be visited before node5\nnode 11 should be visited before node0\nnode 11 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,1,2,6,9,11,8,3,5,0,10,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph792",
        "image": "data/topology/graph_visual/medium/graph792.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node1\nnode 0 should be visited before node17\nnode 0 should be visited before node15\nnode 0 should be visited before node5\nnode 1 should be visited before node17\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 2 should be visited before node15\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 3 should be visited before node16\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node15\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 4 should be visited before node18\nnode 5 should be visited before node4\nnode 5 should be visited before node18\nnode 6 should be visited before node13\nnode 6 should be visited before node9\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node16\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node1\nnode 6 should be visited before node17\nnode 6 should be visited before node15\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node18\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 8 should be visited before node17\nnode 8 should be visited before node15\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node18\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node11\nnode 9 should be visited before node3\nnode 9 should be visited before node16\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node17\nnode 9 should be visited before node15\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node16\nnode 10 should be visited before node0\nnode 10 should be visited before node7\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 10 should be visited before node5\nnode 10 should be visited before node4\nnode 10 should be visited before node18\nnode 11 should be visited before node3\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node17\nnode 11 should be visited before node15\nnode 11 should be visited before node5\nnode 11 should be visited before node4\nnode 11 should be visited before node18\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node15\nnode 12 should be visited before node4\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node11\nnode 13 should be visited before node16\nnode 13 should be visited before node0\nnode 13 should be visited before node1\nnode 13 should be visited before node17\nnode 13 should be visited before node5\nnode 13 should be visited before node4\nnode 13 should be visited before node18\nnode 14 should be visited before node8\nnode 14 should be visited before node6\nnode 14 should be visited before node13\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node16\nnode 14 should be visited before node0\nnode 14 should be visited before node2\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node17\nnode 14 should be visited before node15\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node18\nnode 15 should be visited before node5\nnode 15 should be visited before node18\nnode 16 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node7\nnode 16 should be visited before node17\nnode 16 should be visited before node15\nnode 16 should be visited before node5\nnode 16 should be visited before node18\nnode 17 should be visited before node15\nnode 17 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,8,6,13,9,10,12,11,3,16,0,2,7,1,17,15,5,4,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph548",
        "image": "data/topology/graph_visual/medium/graph548.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node2\nnode 0 should be visited before node16\nnode 1 should be visited before node2\nnode 1 should be visited before node16\nnode 4 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node10\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 12 should be visited before node2\nnode 13 should be visited before node7\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node4\nnode 13 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node8\nnode 14 should be visited before node15\nnode 14 should be visited before node5\nnode 14 should be visited before node6\nnode 14 should be visited before node4\nnode 14 should be visited before node16\nnode 15 should be visited before node10\nnode 15 should be visited before node4\nnode 15 should be visited before node2\nnode 16 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,11,13,14,7,15,5,1,6,10,12,4,0,2,16,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph400",
        "image": "data/topology/graph_visual/medium/graph400.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 0 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node11\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 3 should be visited before node10\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node13\nnode 4 should be visited before node11\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 6 should be visited before node14\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node13\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 10 should be visited before node11\nnode 10 should be visited before node14\nnode 11 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node3\nnode 12 should be visited before node5\nnode 13 should be visited before node11\nnode 13 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,8,12,0,4,9,7,13,1,3,5,2,10,11,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph362",
        "image": "data/topology/graph_visual/medium/graph362.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node9\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 4 should be visited before node14\nnode 4 should be visited before node3\nnode 5 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node2\nnode 8 should be visited before node6\nnode 8 should be visited before node10\nnode 8 should be visited before node14\nnode 8 should be visited before node1\nnode 8 should be visited before node5\nnode 10 should be visited before node5\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 11 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node0\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 12 should be visited before node2\nnode 13 should be visited before node9\nnode 14 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node3\nnode 14 should be visited before node13\nnode 14 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,7,8,11,14,1,6,10,12,3,13,5,0,2,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph99",
        "image": "data/topology/graph_visual/medium/graph99.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 2 should be visited before node6\nnode 2 should be visited before node9\nnode 2 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 3 should be visited before node11\nnode 4 should be visited before node7\nnode 7 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node10\nnode 11 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,8,6,9,4,1,11,0,10,7,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph1113",
        "image": "data/topology/graph_visual/medium/graph1113.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node14\nnode 0 should be visited before node7\nnode 0 should be visited before node19\nnode 0 should be visited before node16\nnode 0 should be visited before node22\nnode 0 should be visited before node21\nnode 1 should be visited before node15\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 1 should be visited before node7\nnode 1 should be visited before node16\nnode 1 should be visited before node9\nnode 1 should be visited before node22\nnode 2 should be visited before node13\nnode 2 should be visited before node18\nnode 2 should be visited before node19\nnode 2 should be visited before node20\nnode 2 should be visited before node10\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node22\nnode 2 should be visited before node21\nnode 3 should be visited before node22\nnode 4 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node21\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node17\nnode 5 should be visited before node6\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 5 should be visited before node16\nnode 5 should be visited before node20\nnode 5 should be visited before node11\nnode 5 should be visited before node3\nnode 6 should be visited before node19\nnode 6 should be visited before node16\nnode 6 should be visited before node11\nnode 6 should be visited before node22\nnode 7 should be visited before node16\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node22\nnode 7 should be visited before node21\nnode 8 should be visited before node0\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node18\nnode 8 should be visited before node7\nnode 8 should be visited before node19\nnode 8 should be visited before node16\nnode 8 should be visited before node10\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node21\nnode 9 should be visited before node21\nnode 10 should be visited before node3\nnode 10 should be visited before node22\nnode 11 should be visited before node9\nnode 11 should be visited before node21\nnode 12 should be visited before node1\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node2\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node3\nnode 12 should be visited before node22\nnode 12 should be visited before node21\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 13 should be visited before node10\nnode 13 should be visited before node9\nnode 13 should be visited before node3\nnode 13 should be visited before node22\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node9\nnode 14 should be visited before node22\nnode 14 should be visited before node21\nnode 15 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 15 should be visited before node14\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 15 should be visited before node10\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node22\nnode 16 should be visited before node20\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node9\nnode 17 should be visited before node13\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node16\nnode 17 should be visited before node10\nnode 17 should be visited before node11\nnode 17 should be visited before node22\nnode 18 should be visited before node19\nnode 18 should be visited before node10\nnode 18 should be visited before node11\nnode 18 should be visited before node9\nnode 18 should be visited before node3\nnode 18 should be visited before node22\nnode 18 should be visited before node21\nnode 19 should be visited before node10\nnode 19 should be visited before node3\nnode 19 should be visited before node22\nnode 20 should be visited before node11\nnode 20 should be visited before node9\nnode 20 should be visited before node3\nnode 20 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,12,1,5,15,4,2,17,0,6,13,14,18,7,19,16,20,10,11,3,9,22,21."
            }
        ]
    },
    {
        "id": "topology-medium-graph27",
        "image": "data/topology/graph_visual/medium/graph27.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node4\nnode 4 should be visited before node1\nnode 4 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 10 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,3,10,8,6,4,1,9,7,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph494",
        "image": "data/topology/graph_visual/medium/graph494.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node15\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node14\nnode 2 should be visited before node10\nnode 2 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node15\nnode 2 should be visited before node1\nnode 2 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 4 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node7\nnode 4 should be visited before node15\nnode 4 should be visited before node12\nnode 6 should be visited before node1\nnode 7 should be visited before node12\nnode 7 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node10\nnode 8 should be visited before node6\nnode 8 should be visited before node15\nnode 8 should be visited before node12\nnode 8 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 11 should be visited before node4\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node6\nnode 12 should be visited before node5\nnode 13 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node0\nnode 13 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node15\nnode 14 should be visited before node9\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node5\nnode 15 should be visited before node12\nnode 15 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,13,11,8,4,14,6,7,9,0,10,15,1,12,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph923",
        "image": "data/topology/graph_visual/medium/graph923.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node19\nnode 0 should be visited before node1\nnode 0 should be visited before node16\nnode 1 should be visited before node16\nnode 2 should be visited before node19\nnode 2 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node2\nnode 4 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node16\nnode 6 should be visited before node12\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 7 should be visited before node9\nnode 7 should be visited before node16\nnode 8 should be visited before node16\nnode 9 should be visited before node14\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node20\nnode 9 should be visited before node2\nnode 9 should be visited before node8\nnode 9 should be visited before node19\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 11 should be visited before node19\nnode 11 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node20\nnode 13 should be visited before node12\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 14 should be visited before node4\nnode 14 should be visited before node3\nnode 14 should be visited before node17\nnode 14 should be visited before node11\nnode 14 should be visited before node12\nnode 14 should be visited before node1\nnode 15 should be visited before node14\nnode 15 should be visited before node3\nnode 15 should be visited before node12\nnode 15 should be visited before node5\nnode 17 should be visited before node6\nnode 17 should be visited before node11\nnode 17 should be visited before node2\nnode 17 should be visited before node0\nnode 17 should be visited before node19\nnode 17 should be visited before node16\nnode 18 should be visited before node14\nnode 18 should be visited before node4\nnode 18 should be visited before node20\nnode 18 should be visited before node8\nnode 18 should be visited before node5\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 20 should be visited before node2\nnode 20 should be visited before node0\nnode 20 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,10,15,18,9,14,13,4,17,3,20,6,11,5,0,12,2,8,19,1,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph868",
        "image": "data/topology/graph_visual/medium/graph868.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 3 should be visited before node19\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 3 should be visited before node15\nnode 5 should be visited before node14\nnode 6 should be visited before node5\nnode 7 should be visited before node3\nnode 7 should be visited before node10\nnode 7 should be visited before node17\nnode 7 should be visited before node18\nnode 7 should be visited before node19\nnode 7 should be visited before node9\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node15\nnode 8 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 9 should be visited before node4\nnode 10 should be visited before node17\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node5\nnode 10 should be visited before node4\nnode 11 should be visited before node3\nnode 11 should be visited before node17\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node3\nnode 12 should be visited before node17\nnode 12 should be visited before node16\nnode 12 should be visited before node18\nnode 12 should be visited before node0\nnode 12 should be visited before node5\nnode 12 should be visited before node4\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node3\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 13 should be visited before node15\nnode 13 should be visited before node4\nnode 14 should be visited before node4\nnode 16 should be visited before node1\nnode 16 should be visited before node6\nnode 16 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node19\nnode 17 should be visited before node2\nnode 17 should be visited before node15\nnode 18 should be visited before node0\nnode 18 should be visited before node1\nnode 18 should be visited before node6\nnode 18 should be visited before node5\nnode 18 should be visited before node14\nnode 19 should be visited before node1\nnode 19 should be visited before node5\nnode 19 should be visited before node14\nnode 19 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,13,7,8,11,10,3,17,9,16,18,19,2,15,0,1,6,5,14,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph388",
        "image": "data/topology/graph_visual/medium/graph388.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 4 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node14\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 10 should be visited before node13\nnode 10 should be visited before node1\nnode 10 should be visited before node11\nnode 12 should be visited before node8\nnode 13 should be visited before node1\nnode 13 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node4\nnode 14 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,12,0,9,2,3,8,7,14,10,4,13,1,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph42",
        "image": "data/topology/graph_visual/medium/graph42.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 1 should be visited before node9\nnode 1 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 2 should be visited before node6\nnode 3 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node10\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 7 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node1\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 9 should be visited before node6\nnode 10 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,8,0,10,3,7,5,1,9,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph325",
        "image": "data/topology/graph_visual/medium/graph325.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 0 should be visited before node8\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 2 should be visited before node12\nnode 2 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node0\nnode 10 should be visited before node11\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node1\nnode 10 should be visited before node7\nnode 11 should be visited before node5\nnode 11 should be visited before node12\nnode 11 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 13 should be visited before node6\nnode 13 should be visited before node11\nnode 13 should be visited before node8\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 13 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,10,13,9,4,0,6,2,11,8,5,12,1,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph536",
        "image": "data/topology/graph_visual/medium/graph536.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node2\nnode 0 should be visited before node15\nnode 0 should be visited before node8\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 1 should be visited before node10\nnode 1 should be visited before node11\nnode 1 should be visited before node15\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 2 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node4\nnode 3 should be visited before node6\nnode 3 should be visited before node14\nnode 3 should be visited before node13\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node14\nnode 7 should be visited before node0\nnode 7 should be visited before node10\nnode 7 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 9 should be visited before node12\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node14\nnode 9 should be visited before node13\nnode 9 should be visited before node0\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 9 should be visited before node11\nnode 9 should be visited before node4\nnode 10 should be visited before node2\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node5\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node5\nnode 12 should be visited before node3\nnode 12 should be visited before node6\nnode 12 should be visited before node1\nnode 12 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node15\nnode 12 should be visited before node8\nnode 12 should be visited before node4\nnode 12 should be visited before node5\nnode 13 should be visited before node0\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 13 should be visited before node8\nnode 13 should be visited before node4\nnode 13 should be visited before node5\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 15 should be visited before node8\nnode 15 should be visited before node4\nnode 15 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,12,7,3,1,6,14,13,0,10,15,2,11,8,4,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph755",
        "image": "data/topology/graph_visual/medium/graph755.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node4\nnode 0 should be visited before node17\nnode 0 should be visited before node16\nnode 2 should be visited before node6\nnode 2 should be visited before node18\nnode 2 should be visited before node11\nnode 2 should be visited before node17\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 3 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node16\nnode 5 should be visited before node15\nnode 5 should be visited before node11\nnode 5 should be visited before node17\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node15\nnode 6 should be visited before node0\nnode 6 should be visited before node11\nnode 6 should be visited before node3\nnode 6 should be visited before node16\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node16\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node0\nnode 8 should be visited before node4\nnode 8 should be visited before node18\nnode 8 should be visited before node17\nnode 8 should be visited before node16\nnode 9 should be visited before node14\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node15\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node18\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 9 should be visited before node3\nnode 10 should be visited before node5\nnode 10 should be visited before node15\nnode 10 should be visited before node4\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 11 should be visited before node16\nnode 12 should be visited before node0\nnode 12 should be visited before node1\nnode 13 should be visited before node2\nnode 13 should be visited before node6\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 13 should be visited before node11\nnode 13 should be visited before node17\nnode 13 should be visited before node3\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 14 should be visited before node5\nnode 14 should be visited before node3\nnode 14 should be visited before node16\nnode 15 should be visited before node0\nnode 15 should be visited before node4\nnode 15 should be visited before node18\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 15 should be visited before node16\nnode 17 should be visited before node1\nnode 18 should be visited before node17\nnode 18 should be visited before node1\nnode 18 should be visited before node3\nnode 18 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,13,14,8,7,2,10,6,5,12,15,0,4,18,11,17,3,1,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph369",
        "image": "data/topology/graph_visual/medium/graph369.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 7 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node7\nnode 9 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node7\nnode 11 should be visited before node14\nnode 12 should be visited before node8\nnode 12 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node14\nnode 13 should be visited before node9\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 14 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,12,8,4,2,3,1,10,13,0,7,9,14,5,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1340",
        "image": "data/topology/graph_visual/medium/graph1340.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node17\nnode 0 should be visited before node2\nnode 0 should be visited before node22\nnode 1 should be visited before node17\nnode 1 should be visited before node2\nnode 2 should be visited before node22\nnode 3 should be visited before node13\nnode 3 should be visited before node18\nnode 3 should be visited before node14\nnode 3 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 3 should be visited before node17\nnode 3 should be visited before node2\nnode 3 should be visited before node22\nnode 4 should be visited before node5\nnode 4 should be visited before node24\nnode 4 should be visited before node18\nnode 4 should be visited before node14\nnode 4 should be visited before node0\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node1\nnode 4 should be visited before node22\nnode 5 should be visited before node24\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node0\nnode 5 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node17\nnode 5 should be visited before node22\nnode 6 should be visited before node10\nnode 6 should be visited before node20\nnode 6 should be visited before node15\nnode 6 should be visited before node4\nnode 6 should be visited before node5\nnode 6 should be visited before node24\nnode 6 should be visited before node3\nnode 6 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node2\nnode 6 should be visited before node22\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node22\nnode 8 should be visited before node12\nnode 8 should be visited before node21\nnode 8 should be visited before node23\nnode 8 should be visited before node19\nnode 8 should be visited before node6\nnode 8 should be visited before node10\nnode 8 should be visited before node20\nnode 8 should be visited before node15\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node24\nnode 8 should be visited before node18\nnode 8 should be visited before node14\nnode 8 should be visited before node16\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 8 should be visited before node17\nnode 8 should be visited before node2\nnode 8 should be visited before node22\nnode 9 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node17\nnode 9 should be visited before node2\nnode 9 should be visited before node22\nnode 10 should be visited before node15\nnode 10 should be visited before node4\nnode 10 should be visited before node24\nnode 10 should be visited before node3\nnode 10 should be visited before node13\nnode 10 should be visited before node18\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node0\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 11 should be visited before node7\nnode 11 should be visited before node1\nnode 11 should be visited before node17\nnode 11 should be visited before node22\nnode 12 should be visited before node21\nnode 12 should be visited before node23\nnode 12 should be visited before node19\nnode 12 should be visited before node6\nnode 12 should be visited before node10\nnode 12 should be visited before node15\nnode 12 should be visited before node4\nnode 12 should be visited before node5\nnode 12 should be visited before node24\nnode 12 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node17\nnode 13 should be visited before node18\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node0\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 13 should be visited before node2\nnode 14 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 15 should be visited before node13\nnode 15 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node16\nnode 15 should be visited before node9\nnode 15 should be visited before node11\nnode 15 should be visited before node7\nnode 15 should be visited before node1\nnode 15 should be visited before node17\nnode 15 should be visited before node22\nnode 16 should be visited before node9\nnode 16 should be visited before node0\nnode 16 should be visited before node11\nnode 16 should be visited before node1\nnode 16 should be visited before node2\nnode 17 should be visited before node22\nnode 18 should be visited before node14\nnode 18 should be visited before node16\nnode 18 should be visited before node9\nnode 18 should be visited before node0\nnode 18 should be visited before node11\nnode 18 should be visited before node7\nnode 18 should be visited before node1\nnode 18 should be visited before node17\nnode 18 should be visited before node2\nnode 18 should be visited before node22\nnode 19 should be visited before node10\nnode 19 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node18\nnode 19 should be visited before node14\nnode 19 should be visited before node0\nnode 19 should be visited before node11\nnode 19 should be visited before node7\nnode 19 should be visited before node17\nnode 19 should be visited before node22\nnode 20 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node18\nnode 20 should be visited before node14\nnode 20 should be visited before node0\nnode 20 should be visited before node7\nnode 20 should be visited before node1\nnode 20 should be visited before node17\nnode 20 should be visited before node22\nnode 21 should be visited before node23\nnode 21 should be visited before node6\nnode 21 should be visited before node20\nnode 21 should be visited before node15\nnode 21 should be visited before node4\nnode 21 should be visited before node5\nnode 21 should be visited before node24\nnode 21 should be visited before node3\nnode 21 should be visited before node13\nnode 21 should be visited before node18\nnode 21 should be visited before node14\nnode 21 should be visited before node16\nnode 21 should be visited before node9\nnode 21 should be visited before node0\nnode 21 should be visited before node7\nnode 21 should be visited before node1\nnode 21 should be visited before node2\nnode 21 should be visited before node22\nnode 23 should be visited before node19\nnode 23 should be visited before node6\nnode 23 should be visited before node20\nnode 23 should be visited before node15\nnode 23 should be visited before node4\nnode 23 should be visited before node24\nnode 23 should be visited before node13\nnode 23 should be visited before node18\nnode 23 should be visited before node14\nnode 23 should be visited before node16\nnode 23 should be visited before node9\nnode 23 should be visited before node0\nnode 23 should be visited before node11\nnode 23 should be visited before node1\nnode 23 should be visited before node17\nnode 23 should be visited before node22\nnode 24 should be visited before node13\nnode 24 should be visited before node18\nnode 24 should be visited before node14\nnode 24 should be visited before node16\nnode 24 should be visited before node9\nnode 24 should be visited before node0\nnode 24 should be visited before node11\nnode 24 should be visited before node7\nnode 24 should be visited before node1\nnode 24 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,12,21,23,19,6,10,20,15,4,5,24,3,13,18,14,16,9,0,11,7,1,17,2,22."
            }
        ]
    },
    {
        "id": "topology-medium-graph523",
        "image": "data/topology/graph_visual/medium/graph523.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node4\nnode 1 should be visited before node11\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 1 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 2 should be visited before node7\nnode 2 should be visited before node15\nnode 2 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 3 should be visited before node10\nnode 3 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 3 should be visited before node4\nnode 5 should be visited before node10\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 5 should be visited before node9\nnode 5 should be visited before node13\nnode 5 should be visited before node12\nnode 6 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node14\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 7 should be visited before node15\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node12\nnode 8 should be visited before node10\nnode 8 should be visited before node14\nnode 8 should be visited before node15\nnode 8 should be visited before node9\nnode 8 should be visited before node13\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 9 should be visited before node13\nnode 9 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node15\nnode 10 should be visited before node0\nnode 10 should be visited before node9\nnode 10 should be visited before node13\nnode 10 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node5\nnode 11 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node15\nnode 11 should be visited before node0\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 13 should be visited before node4\nnode 14 should be visited before node7\nnode 14 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node9\nnode 14 should be visited before node12\nnode 14 should be visited before node4\nnode 15 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,6,1,11,2,5,8,10,14,7,15,0,9,13,12,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph968",
        "image": "data/topology/graph_visual/medium/graph968.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node13\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 0 should be visited before node8\nnode 0 should be visited before node16\nnode 0 should be visited before node19\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node11\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 4 should be visited before node18\nnode 4 should be visited before node8\nnode 4 should be visited before node16\nnode 4 should be visited before node19\nnode 4 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node20\nnode 4 should be visited before node1\nnode 4 should be visited before node11\nnode 4 should be visited before node3\nnode 5 should be visited before node1\nnode 6 should be visited before node18\nnode 6 should be visited before node17\nnode 6 should be visited before node8\nnode 6 should be visited before node16\nnode 6 should be visited before node19\nnode 6 should be visited before node10\nnode 6 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node11\nnode 6 should be visited before node3\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 8 should be visited before node16\nnode 8 should be visited before node19\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node7\nnode 8 should be visited before node20\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node3\nnode 9 should be visited before node13\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node8\nnode 9 should be visited before node19\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node11\nnode 9 should be visited before node3\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node20\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node3\nnode 11 should be visited before node3\nnode 12 should be visited before node6\nnode 12 should be visited before node18\nnode 12 should be visited before node15\nnode 12 should be visited before node17\nnode 12 should be visited before node16\nnode 12 should be visited before node19\nnode 12 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 13 should be visited before node12\nnode 13 should be visited before node6\nnode 13 should be visited before node4\nnode 13 should be visited before node18\nnode 13 should be visited before node15\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node19\nnode 13 should be visited before node10\nnode 13 should be visited before node2\nnode 13 should be visited before node7\nnode 13 should be visited before node20\nnode 13 should be visited before node5\nnode 13 should be visited before node1\nnode 13 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node9\nnode 14 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 14 should be visited before node4\nnode 14 should be visited before node18\nnode 14 should be visited before node15\nnode 14 should be visited before node10\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 15 should be visited before node8\nnode 15 should be visited before node16\nnode 15 should be visited before node2\nnode 15 should be visited before node20\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 16 should be visited before node19\nnode 16 should be visited before node2\nnode 16 should be visited before node7\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 16 should be visited before node3\nnode 17 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node19\nnode 17 should be visited before node10\nnode 17 should be visited before node2\nnode 17 should be visited before node7\nnode 17 should be visited before node20\nnode 17 should be visited before node5\nnode 17 should be visited before node1\nnode 17 should be visited before node11\nnode 17 should be visited before node3\nnode 18 should be visited before node17\nnode 18 should be visited before node16\nnode 18 should be visited before node10\nnode 18 should be visited before node7\nnode 18 should be visited before node1\nnode 18 should be visited before node11\nnode 18 should be visited before node3\nnode 19 should be visited before node7\nnode 19 should be visited before node20\nnode 19 should be visited before node5\nnode 19 should be visited before node1\nnode 19 should be visited before node11\nnode 20 should be visited before node5\nnode 20 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,0,9,13,12,4,6,15,18,17,8,16,10,19,2,7,20,5,11,1,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph1037",
        "image": "data/topology/graph_visual/medium/graph1037.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node20\nnode 0 should be visited before node17\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 2 should be visited before node1\nnode 3 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node3\nnode 5 should be visited before node16\nnode 5 should be visited before node10\nnode 5 should be visited before node19\nnode 5 should be visited before node4\nnode 5 should be visited before node21\nnode 5 should be visited before node14\nnode 6 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node16\nnode 6 should be visited before node10\nnode 6 should be visited before node7\nnode 6 should be visited before node18\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node20\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 7 should be visited before node18\nnode 7 should be visited before node19\nnode 7 should be visited before node20\nnode 7 should be visited before node14\nnode 7 should be visited before node2\nnode 8 should be visited before node13\nnode 8 should be visited before node11\nnode 8 should be visited before node18\nnode 8 should be visited before node4\nnode 8 should be visited before node0\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node18\nnode 9 should be visited before node4\nnode 9 should be visited before node0\nnode 9 should be visited before node14\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 10 should be visited before node18\nnode 10 should be visited before node19\nnode 10 should be visited before node21\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 11 should be visited before node7\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 11 should be visited before node21\nnode 11 should be visited before node17\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 12 should be visited before node10\nnode 12 should be visited before node7\nnode 12 should be visited before node18\nnode 12 should be visited before node19\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 13 should be visited before node0\nnode 13 should be visited before node21\nnode 13 should be visited before node17\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node3\nnode 14 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node13\nnode 15 should be visited before node11\nnode 15 should be visited before node7\nnode 15 should be visited before node0\nnode 15 should be visited before node21\nnode 15 should be visited before node3\nnode 15 should be visited before node1\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node19\nnode 16 should be visited before node4\nnode 16 should be visited before node20\nnode 16 should be visited before node17\nnode 16 should be visited before node14\nnode 16 should be visited before node2\nnode 16 should be visited before node3\nnode 16 should be visited before node1\nnode 17 should be visited before node14\nnode 18 should be visited before node0\nnode 18 should be visited before node21\nnode 18 should be visited before node17\nnode 18 should be visited before node14\nnode 18 should be visited before node2\nnode 19 should be visited before node4\nnode 19 should be visited before node20\nnode 19 should be visited before node17\nnode 19 should be visited before node14\nnode 19 should be visited before node1\nnode 20 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,8,15,9,5,13,16,12,11,10,7,18,19,21,4,0,20,17,14,2,3,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph17",
        "image": "data/topology/graph_visual/medium/graph17.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 3 should be visited before node4\nnode 4 should be visited before node10\nnode 4 should be visited before node7\nnode 5 should be visited before node2\nnode 8 should be visited before node4\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 10 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,3,8,9,4,5,10,7,2,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1339",
        "image": "data/topology/graph_visual/medium/graph1339.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node17\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node13\nnode 0 should be visited before node11\nnode 0 should be visited before node5\nnode 0 should be visited before node9\nnode 0 should be visited before node22\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 0 should be visited before node16\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 1 should be visited before node6\nnode 1 should be visited before node16\nnode 1 should be visited before node18\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node15\nnode 3 should be visited before node17\nnode 3 should be visited before node7\nnode 3 should be visited before node19\nnode 3 should be visited before node8\nnode 3 should be visited before node13\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 4 should be visited before node23\nnode 4 should be visited before node21\nnode 4 should be visited before node0\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node19\nnode 4 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 4 should be visited before node22\nnode 4 should be visited before node12\nnode 4 should be visited before node2\nnode 4 should be visited before node6\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node10\nnode 5 should be visited before node9\nnode 5 should be visited before node22\nnode 5 should be visited before node12\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node18\nnode 5 should be visited before node15\nnode 6 should be visited before node16\nnode 7 should be visited before node19\nnode 7 should be visited before node13\nnode 7 should be visited before node11\nnode 7 should be visited before node5\nnode 7 should be visited before node9\nnode 7 should be visited before node22\nnode 7 should be visited before node12\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 7 should be visited before node16\nnode 7 should be visited before node18\nnode 7 should be visited before node15\nnode 8 should be visited before node13\nnode 8 should be visited before node11\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node16\nnode 8 should be visited before node18\nnode 8 should be visited before node15\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 9 should be visited before node10\nnode 9 should be visited before node15\nnode 10 should be visited before node15\nnode 11 should be visited before node9\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node18\nnode 11 should be visited before node10\nnode 12 should be visited before node1\nnode 12 should be visited before node6\nnode 12 should be visited before node18\nnode 12 should be visited before node10\nnode 12 should be visited before node15\nnode 13 should be visited before node9\nnode 13 should be visited before node2\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 14 should be visited before node4\nnode 14 should be visited before node23\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 14 should be visited before node17\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node13\nnode 14 should be visited before node11\nnode 14 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node22\nnode 14 should be visited before node12\nnode 14 should be visited before node2\nnode 14 should be visited before node1\nnode 14 should be visited before node16\nnode 14 should be visited before node18\nnode 14 should be visited before node10\nnode 14 should be visited before node15\nnode 16 should be visited before node18\nnode 16 should be visited before node15\nnode 17 should be visited before node7\nnode 17 should be visited before node19\nnode 17 should be visited before node13\nnode 17 should be visited before node11\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 17 should be visited before node1\nnode 17 should be visited before node6\nnode 17 should be visited before node18\nnode 17 should be visited before node10\nnode 18 should be visited before node10\nnode 18 should be visited before node15\nnode 19 should be visited before node8\nnode 19 should be visited before node13\nnode 19 should be visited before node11\nnode 19 should be visited before node9\nnode 19 should be visited before node12\nnode 19 should be visited before node2\nnode 19 should be visited before node1\nnode 19 should be visited before node6\nnode 19 should be visited before node16\nnode 19 should be visited before node18\nnode 19 should be visited before node15\nnode 20 should be visited before node14\nnode 20 should be visited before node21\nnode 20 should be visited before node3\nnode 20 should be visited before node17\nnode 20 should be visited before node7\nnode 20 should be visited before node19\nnode 20 should be visited before node8\nnode 20 should be visited before node13\nnode 20 should be visited before node11\nnode 20 should be visited before node5\nnode 20 should be visited before node9\nnode 20 should be visited before node22\nnode 20 should be visited before node12\nnode 20 should be visited before node16\nnode 20 should be visited before node18\nnode 20 should be visited before node10\nnode 20 should be visited before node15\nnode 21 should be visited before node0\nnode 21 should be visited before node3\nnode 21 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node19\nnode 21 should be visited before node8\nnode 21 should be visited before node9\nnode 21 should be visited before node22\nnode 21 should be visited before node6\nnode 21 should be visited before node16\nnode 21 should be visited before node18\nnode 21 should be visited before node10\nnode 22 should be visited before node12\nnode 22 should be visited before node2\nnode 22 should be visited before node6\nnode 22 should be visited before node16\nnode 22 should be visited before node10\nnode 22 should be visited before node15\nnode 23 should be visited before node21\nnode 23 should be visited before node0\nnode 23 should be visited before node3\nnode 23 should be visited before node17\nnode 23 should be visited before node7\nnode 23 should be visited before node19\nnode 23 should be visited before node8\nnode 23 should be visited before node11\nnode 23 should be visited before node9\nnode 23 should be visited before node22\nnode 23 should be visited before node12\nnode 23 should be visited before node2\nnode 23 should be visited before node6\nnode 23 should be visited before node16\nnode 23 should be visited before node18\nnode 23 should be visited before node10\nnode 23 should be visited before node15\nnode 24 should be visited before node4\nnode 24 should be visited before node21\nnode 24 should be visited before node0\nnode 24 should be visited before node3\nnode 24 should be visited before node17\nnode 24 should be visited before node19\nnode 24 should be visited before node8\nnode 24 should be visited before node13\nnode 24 should be visited before node11\nnode 24 should be visited before node9\nnode 24 should be visited before node22\nnode 24 should be visited before node12\nnode 24 should be visited before node1\nnode 24 should be visited before node6\nnode 24 should be visited before node10\nnode 24 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "20,24,14,4,23,21,0,3,17,7,19,8,13,11,5,9,22,12,2,1,6,16,18,10,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph644",
        "image": "data/topology/graph_visual/medium/graph644.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node17\nnode 0 should be visited before node4\nnode 2 should be visited before node15\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 5 should be visited before node2\nnode 6 should be visited before node10\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node11\nnode 7 should be visited before node17\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 9 should be visited before node12\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node15\nnode 12 should be visited before node3\nnode 13 should be visited before node3\nnode 14 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node2\nnode 14 should be visited before node3\nnode 15 should be visited before node3\nnode 16 should be visited before node5\nnode 16 should be visited before node2\nnode 17 should be visited before node5\nnode 17 should be visited before node2\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 17 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,9,16,12,0,14,11,8,10,7,13,17,4,5,1,2,15,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph1046",
        "image": "data/topology/graph_visual/medium/graph1046.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node12\nnode 0 should be visited before node4\nnode 0 should be visited before node20\nnode 0 should be visited before node1\nnode 0 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node13\nnode 2 should be visited before node11\nnode 2 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node8\nnode 2 should be visited before node16\nnode 2 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node21\nnode 2 should be visited before node1\nnode 2 should be visited before node14\nnode 3 should be visited before node12\nnode 3 should be visited before node20\nnode 3 should be visited before node21\nnode 3 should be visited before node1\nnode 3 should be visited before node14\nnode 4 should be visited before node20\nnode 4 should be visited before node21\nnode 5 should be visited before node3\nnode 5 should be visited before node21\nnode 5 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 6 should be visited before node14\nnode 7 should be visited before node19\nnode 7 should be visited before node2\nnode 7 should be visited before node15\nnode 7 should be visited before node16\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node14\nnode 8 should be visited before node18\nnode 8 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node12\nnode 8 should be visited before node10\nnode 8 should be visited before node4\nnode 8 should be visited before node21\nnode 8 should be visited before node14\nnode 9 should be visited before node11\nnode 9 should be visited before node17\nnode 9 should be visited before node8\nnode 9 should be visited before node18\nnode 9 should be visited before node16\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node14\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 10 should be visited before node14\nnode 11 should be visited before node15\nnode 11 should be visited before node8\nnode 11 should be visited before node18\nnode 11 should be visited before node16\nnode 11 should be visited before node0\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 11 should be visited before node10\nnode 11 should be visited before node4\nnode 11 should be visited before node20\nnode 11 should be visited before node14\nnode 12 should be visited before node4\nnode 12 should be visited before node21\nnode 12 should be visited before node1\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node4\nnode 13 should be visited before node21\nnode 15 should be visited before node8\nnode 15 should be visited before node18\nnode 15 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node5\nnode 15 should be visited before node10\nnode 15 should be visited before node20\nnode 15 should be visited before node21\nnode 16 should be visited before node5\nnode 16 should be visited before node10\nnode 17 should be visited before node16\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 18 should be visited before node6\nnode 18 should be visited before node5\nnode 18 should be visited before node3\nnode 18 should be visited before node12\nnode 18 should be visited before node1\nnode 19 should be visited before node15\nnode 19 should be visited before node17\nnode 19 should be visited before node0\nnode 19 should be visited before node6\nnode 19 should be visited before node3\nnode 19 should be visited before node10\nnode 19 should be visited before node4\nnode 19 should be visited before node20\nnode 19 should be visited before node1\nnode 20 should be visited before node21\nnode 20 should be visited before node1\nnode 20 should be visited before node14\nnode 21 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,19,2,9,13,11,17,15,16,8,18,0,6,5,10,3,12,4,20,21,14,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph65",
        "image": "data/topology/graph_visual/medium/graph65.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node3\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node8\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 10 should be visited before node2\nnode 10 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,9,4,8,7,0,3,10,2,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph685",
        "image": "data/topology/graph_visual/medium/graph685.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 0 should be visited before node13\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node17\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 0 should be visited before node10\nnode 0 should be visited before node8\nnode 1 should be visited before node15\nnode 1 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node14\nnode 2 should be visited before node8\nnode 2 should be visited before node9\nnode 3 should be visited before node6\nnode 3 should be visited before node17\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 4 should be visited before node12\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node17\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 4 should be visited before node9\nnode 5 should be visited before node13\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node9\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node17\nnode 7 should be visited before node1\nnode 7 should be visited before node10\nnode 7 should be visited before node8\nnode 8 should be visited before node9\nnode 10 should be visited before node8\nnode 11 should be visited before node7\nnode 11 should be visited before node3\nnode 11 should be visited before node6\nnode 11 should be visited before node17\nnode 11 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node9\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 12 should be visited before node2\nnode 12 should be visited before node15\nnode 13 should be visited before node1\nnode 13 should be visited before node8\nnode 14 should be visited before node10\nnode 15 should be visited before node14\nnode 15 should be visited before node10\nnode 15 should be visited before node9\nnode 16 should be visited before node12\nnode 16 should be visited before node11\nnode 16 should be visited before node6\nnode 16 should be visited before node15\nnode 16 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node14\nnode 17 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,5,16,4,13,12,11,7,3,6,17,2,1,15,14,10,8,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph145",
        "image": "data/topology/graph_visual/medium/graph145.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 2 should be visited before node5\nnode 3 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,7,10,11,6,9,0,8,4,5,3,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph157",
        "image": "data/topology/graph_visual/medium/graph157.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node3\nnode 0 should be visited before node11\nnode 0 should be visited before node4\nnode 0 should be visited before node8\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 1 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 3 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node1\nnode 4 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node6\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 5 should be visited before node3\nnode 5 should be visited before node11\nnode 5 should be visited before node8\nnode 5 should be visited before node10\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node6\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 10 should be visited before node2\nnode 10 should be visited before node6\nnode 11 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node1\nnode 11 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,5,3,11,4,8,10,2,6,9,1,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph76",
        "image": "data/topology/graph_visual/medium/graph76.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 5 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node5\nnode 6 should be visited before node9\nnode 6 should be visited before node0\nnode 7 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 8 should be visited before node10\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,8,2,3,6,10,4,5,9,7,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph609",
        "image": "data/topology/graph_visual/medium/graph609.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node2\nnode 0 should be visited before node16\nnode 0 should be visited before node14\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 0 should be visited before node15\nnode 0 should be visited before node9\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node12\nnode 3 should be visited before node0\nnode 3 should be visited before node16\nnode 3 should be visited before node14\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node13\nnode 3 should be visited before node12\nnode 4 should be visited before node9\nnode 4 should be visited before node12\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node16\nnode 5 should be visited before node14\nnode 5 should be visited before node1\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node4\nnode 5 should be visited before node12\nnode 6 should be visited before node13\nnode 6 should be visited before node9\nnode 6 should be visited before node12\nnode 7 should be visited before node11\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node14\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 7 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node2\nnode 10 should be visited before node16\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node13\nnode 10 should be visited before node8\nnode 10 should be visited before node15\nnode 10 should be visited before node4\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 11 should be visited before node14\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node12\nnode 13 should be visited before node12\nnode 14 should be visited before node6\nnode 14 should be visited before node13\nnode 14 should be visited before node15\nnode 14 should be visited before node9\nnode 14 should be visited before node12\nnode 15 should be visited before node4\nnode 15 should be visited before node9\nnode 15 should be visited before node12\nnode 16 should be visited before node14\nnode 16 should be visited before node1\nnode 16 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node8\nnode 16 should be visited before node15\nnode 16 should be visited before node9\nnode 16 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,11,5,10,3,0,2,16,14,1,6,8,15,13,4,9,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph461",
        "image": "data/topology/graph_visual/medium/graph461.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node15\nnode 0 should be visited before node13\nnode 1 should be visited before node3\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 4 should be visited before node13\nnode 4 should be visited before node10\nnode 5 should be visited before node2\nnode 6 should be visited before node4\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 6 should be visited before node5\nnode 6 should be visited before node12\nnode 6 should be visited before node7\nnode 6 should be visited before node2\nnode 6 should be visited before node13\nnode 6 should be visited before node10\nnode 8 should be visited before node15\nnode 8 should be visited before node3\nnode 8 should be visited before node13\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 9 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 11 should be visited before node10\nnode 12 should be visited before node2\nnode 14 should be visited before node0\nnode 14 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,6,8,9,14,5,12,4,11,3,0,7,2,10,15,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph935",
        "image": "data/topology/graph_visual/medium/graph935.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node19\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 0 should be visited before node12\nnode 0 should be visited before node1\nnode 0 should be visited before node14\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node2\nnode 1 should be visited before node17\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 4 should be visited before node9\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node14\nnode 4 should be visited before node17\nnode 4 should be visited before node3\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 5 should be visited before node2\nnode 6 should be visited before node0\nnode 6 should be visited before node15\nnode 6 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node12\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node12\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 7 should be visited before node14\nnode 7 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node3\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node3\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 10 should be visited before node11\nnode 10 should be visited before node18\nnode 10 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node17\nnode 10 should be visited before node2\nnode 11 should be visited before node12\nnode 11 should be visited before node8\nnode 11 should be visited before node1\nnode 11 should be visited before node5\nnode 12 should be visited before node1\nnode 12 should be visited before node3\nnode 12 should be visited before node2\nnode 13 should be visited before node15\nnode 13 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node18\nnode 13 should be visited before node12\nnode 13 should be visited before node17\nnode 13 should be visited before node3\nnode 13 should be visited before node5\nnode 13 should be visited before node2\nnode 14 should be visited before node17\nnode 14 should be visited before node5\nnode 15 should be visited before node10\nnode 15 should be visited before node4\nnode 15 should be visited before node7\nnode 15 should be visited before node8\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 16 should be visited before node20\nnode 16 should be visited before node0\nnode 16 should be visited before node19\nnode 16 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node10\nnode 16 should be visited before node9\nnode 16 should be visited before node18\nnode 16 should be visited before node8\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 16 should be visited before node2\nnode 17 should be visited before node3\nnode 17 should be visited before node5\nnode 17 should be visited before node2\nnode 18 should be visited before node17\nnode 18 should be visited before node3\nnode 18 should be visited before node2\nnode 19 should be visited before node13\nnode 19 should be visited before node15\nnode 19 should be visited before node10\nnode 19 should be visited before node4\nnode 19 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node12\nnode 19 should be visited before node1\nnode 19 should be visited before node14\nnode 19 should be visited before node17\nnode 19 should be visited before node3\nnode 19 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node4\nnode 20 should be visited before node9\nnode 20 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node14\nnode 20 should be visited before node3\nnode 20 should be visited before node5\nnode 20 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,16,20,0,19,13,15,10,4,7,18,9,11,12,8,1,14,17,3,5,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph50",
        "image": "data/topology/graph_visual/medium/graph50.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 4 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 8 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,8,10,3,6,9,2,5,0,4,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph69",
        "image": "data/topology/graph_visual/medium/graph69.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node10\nnode 2 should be visited before node9\nnode 2 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 6 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 9 should be visited before node5\nnode 10 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,2,0,4,3,1,6,7,10,9,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph303",
        "image": "data/topology/graph_visual/medium/graph303.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node2\nnode 1 should be visited before node6\nnode 1 should be visited before node5\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 3 should be visited before node13\nnode 3 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node2\nnode 5 should be visited before node7\nnode 5 should be visited before node13\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 7 should be visited before node13\nnode 7 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 11 should be visited before node6\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 13 should be visited before node0\nnode 13 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,12,1,11,6,9,3,4,5,10,7,13,0,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph301",
        "image": "data/topology/graph_visual/medium/graph301.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 4 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 6 should be visited before node9\nnode 7 should be visited before node6\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 11 should be visited before node4\nnode 12 should be visited before node9\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node4\nnode 12 should be visited before node1\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node2\nnode 13 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,13,8,7,6,2,12,10,9,5,11,4,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph610",
        "image": "data/topology/graph_visual/medium/graph610.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node14\nnode 0 should be visited before node4\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node16\nnode 2 should be visited before node15\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 4 should be visited before node8\nnode 5 should be visited before node13\nnode 5 should be visited before node9\nnode 5 should be visited before node3\nnode 5 should be visited before node15\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 5 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node14\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 9 should be visited before node3\nnode 9 should be visited before node16\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node8\nnode 10 should be visited before node12\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node14\nnode 10 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node6\nnode 11 should be visited before node1\nnode 11 should be visited before node10\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 11 should be visited before node4\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node15\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node12\nnode 13 should be visited before node7\nnode 13 should be visited before node14\nnode 13 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node12\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node4\nnode 16 should be visited before node15\nnode 16 should be visited before node7\nnode 16 should be visited before node4\nnode 16 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,11,5,13,9,3,16,15,6,1,10,12,7,0,14,4,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph748",
        "image": "data/topology/graph_visual/medium/graph748.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node18\nnode 1 should be visited before node11\nnode 1 should be visited before node13\nnode 1 should be visited before node10\nnode 1 should be visited before node14\nnode 1 should be visited before node2\nnode 1 should be visited before node18\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node9\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 3 should be visited before node4\nnode 3 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node18\nnode 3 should be visited before node7\nnode 4 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node18\nnode 5 should be visited before node7\nnode 5 should be visited before node8\nnode 5 should be visited before node9\nnode 6 should be visited before node14\nnode 6 should be visited before node7\nnode 6 should be visited before node9\nnode 8 should be visited before node9\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node10\nnode 11 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 11 should be visited before node18\nnode 11 should be visited before node7\nnode 11 should be visited before node12\nnode 11 should be visited before node9\nnode 13 should be visited before node14\nnode 13 should be visited before node8\nnode 13 should be visited before node9\nnode 14 should be visited before node2\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node9\nnode 15 should be visited before node6\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 16 should be visited before node10\nnode 16 should be visited before node0\nnode 16 should be visited before node9\nnode 17 should be visited before node0\nnode 17 should be visited before node8\nnode 17 should be visited before node9\nnode 18 should be visited before node12\nnode 18 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,15,16,17,3,1,4,6,11,13,10,14,0,2,18,7,8,12,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph1152",
        "image": "data/topology/graph_visual/medium/graph1152.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node3\nnode 0 should be visited before node15\nnode 0 should be visited before node2\nnode 0 should be visited before node8\nnode 0 should be visited before node10\nnode 0 should be visited before node20\nnode 1 should be visited before node4\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node22\nnode 1 should be visited before node16\nnode 1 should be visited before node17\nnode 1 should be visited before node0\nnode 1 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node13\nnode 1 should be visited before node2\nnode 1 should be visited before node19\nnode 1 should be visited before node8\nnode 1 should be visited before node10\nnode 1 should be visited before node21\nnode 1 should be visited before node20\nnode 2 should be visited before node19\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 2 should be visited before node21\nnode 2 should be visited before node20\nnode 3 should be visited before node15\nnode 3 should be visited before node5\nnode 3 should be visited before node19\nnode 3 should be visited before node8\nnode 3 should be visited before node10\nnode 3 should be visited before node20\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node22\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node17\nnode 4 should be visited before node3\nnode 4 should be visited before node15\nnode 4 should be visited before node5\nnode 4 should be visited before node10\nnode 4 should be visited before node21\nnode 5 should be visited before node13\nnode 5 should be visited before node19\nnode 5 should be visited before node8\nnode 5 should be visited before node21\nnode 6 should be visited before node12\nnode 6 should be visited before node11\nnode 6 should be visited before node14\nnode 6 should be visited before node9\nnode 6 should be visited before node22\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 6 should be visited before node19\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node20\nnode 7 should be visited before node12\nnode 7 should be visited before node11\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node21\nnode 7 should be visited before node20\nnode 8 should be visited before node21\nnode 8 should be visited before node20\nnode 9 should be visited before node22\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node19\nnode 9 should be visited before node8\nnode 9 should be visited before node10\nnode 9 should be visited before node21\nnode 10 should be visited before node21\nnode 10 should be visited before node20\nnode 11 should be visited before node14\nnode 11 should be visited before node9\nnode 11 should be visited before node22\nnode 11 should be visited before node16\nnode 11 should be visited before node17\nnode 11 should be visited before node0\nnode 11 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 11 should be visited before node19\nnode 11 should be visited before node8\nnode 12 should be visited before node11\nnode 12 should be visited before node14\nnode 12 should be visited before node22\nnode 12 should be visited before node16\nnode 12 should be visited before node17\nnode 12 should be visited before node3\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 12 should be visited before node19\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node21\nnode 12 should be visited before node20\nnode 13 should be visited before node2\nnode 13 should be visited before node19\nnode 13 should be visited before node10\nnode 13 should be visited before node21\nnode 13 should be visited before node20\nnode 14 should be visited before node9\nnode 14 should be visited before node18\nnode 14 should be visited before node17\nnode 14 should be visited before node3\nnode 14 should be visited before node15\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node19\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 14 should be visited before node21\nnode 14 should be visited before node20\nnode 15 should be visited before node5\nnode 15 should be visited before node13\nnode 15 should be visited before node2\nnode 15 should be visited before node8\nnode 15 should be visited before node10\nnode 16 should be visited before node18\nnode 16 should be visited before node17\nnode 16 should be visited before node3\nnode 16 should be visited before node5\nnode 16 should be visited before node13\nnode 16 should be visited before node2\nnode 16 should be visited before node19\nnode 16 should be visited before node21\nnode 17 should be visited before node0\nnode 17 should be visited before node15\nnode 17 should be visited before node5\nnode 17 should be visited before node19\nnode 17 should be visited before node8\nnode 17 should be visited before node10\nnode 17 should be visited before node21\nnode 17 should be visited before node20\nnode 18 should be visited before node0\nnode 18 should be visited before node15\nnode 18 should be visited before node5\nnode 18 should be visited before node13\nnode 18 should be visited before node2\nnode 18 should be visited before node8\nnode 18 should be visited before node10\nnode 18 should be visited before node21\nnode 18 should be visited before node20\nnode 19 should be visited before node8\nnode 19 should be visited before node21\nnode 22 should be visited before node16\nnode 22 should be visited before node18\nnode 22 should be visited before node17\nnode 22 should be visited before node0\nnode 22 should be visited before node15\nnode 22 should be visited before node5\nnode 22 should be visited before node2\nnode 22 should be visited before node19\nnode 22 should be visited before node10\nnode 22 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,4,7,6,12,11,14,9,22,16,18,17,0,3,15,5,13,2,19,10,8,21,20."
            }
        ]
    },
    {
        "id": "topology-medium-graph1243",
        "image": "data/topology/graph_visual/medium/graph1243.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node21\nnode 0 should be visited before node23\nnode 1 should be visited before node20\nnode 1 should be visited before node14\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node9\nnode 1 should be visited before node4\nnode 1 should be visited before node13\nnode 1 should be visited before node15\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node16\nnode 1 should be visited before node18\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node21\nnode 1 should be visited before node23\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node13\nnode 2 should be visited before node15\nnode 2 should be visited before node16\nnode 2 should be visited before node18\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node21\nnode 3 should be visited before node22\nnode 3 should be visited before node1\nnode 3 should be visited before node20\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node4\nnode 3 should be visited before node13\nnode 3 should be visited before node15\nnode 3 should be visited before node10\nnode 3 should be visited before node16\nnode 3 should be visited before node6\nnode 4 should be visited before node13\nnode 4 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node0\nnode 4 should be visited before node21\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node9\nnode 5 should be visited before node13\nnode 5 should be visited before node15\nnode 5 should be visited before node7\nnode 5 should be visited before node10\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node21\nnode 5 should be visited before node23\nnode 6 should be visited before node23\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node23\nnode 8 should be visited before node12\nnode 8 should be visited before node22\nnode 8 should be visited before node19\nnode 8 should be visited before node1\nnode 8 should be visited before node20\nnode 8 should be visited before node14\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node6\nnode 8 should be visited before node21\nnode 8 should be visited before node23\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 9 should be visited before node15\nnode 9 should be visited before node10\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node21\nnode 9 should be visited before node23\nnode 10 should be visited before node16\nnode 10 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node21\nnode 10 should be visited before node23\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 11 should be visited before node13\nnode 11 should be visited before node16\nnode 11 should be visited before node18\nnode 11 should be visited before node6\nnode 11 should be visited before node21\nnode 11 should be visited before node23\nnode 12 should be visited before node22\nnode 12 should be visited before node20\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node15\nnode 12 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node21\nnode 12 should be visited before node23\nnode 13 should be visited before node15\nnode 13 should be visited before node10\nnode 13 should be visited before node18\nnode 13 should be visited before node6\nnode 13 should be visited before node0\nnode 13 should be visited before node21\nnode 14 should be visited before node5\nnode 14 should be visited before node11\nnode 14 should be visited before node2\nnode 14 should be visited before node9\nnode 14 should be visited before node13\nnode 14 should be visited before node10\nnode 14 should be visited before node16\nnode 14 should be visited before node0\nnode 14 should be visited before node21\nnode 15 should be visited before node16\nnode 15 should be visited before node18\nnode 15 should be visited before node6\nnode 15 should be visited before node0\nnode 15 should be visited before node21\nnode 15 should be visited before node23\nnode 16 should be visited before node18\nnode 16 should be visited before node6\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 17 should be visited before node3\nnode 17 should be visited before node8\nnode 17 should be visited before node12\nnode 17 should be visited before node22\nnode 17 should be visited before node19\nnode 17 should be visited before node1\nnode 17 should be visited before node14\nnode 17 should be visited before node5\nnode 17 should be visited before node11\nnode 17 should be visited before node9\nnode 17 should be visited before node4\nnode 17 should be visited before node15\nnode 17 should be visited before node10\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node6\nnode 17 should be visited before node0\nnode 17 should be visited before node23\nnode 18 should be visited before node6\nnode 18 should be visited before node21\nnode 18 should be visited before node23\nnode 19 should be visited before node1\nnode 19 should be visited before node20\nnode 19 should be visited before node14\nnode 19 should be visited before node5\nnode 19 should be visited before node2\nnode 19 should be visited before node9\nnode 19 should be visited before node13\nnode 19 should be visited before node15\nnode 19 should be visited before node7\nnode 19 should be visited before node16\nnode 19 should be visited before node6\nnode 19 should be visited before node21\nnode 19 should be visited before node23\nnode 20 should be visited before node14\nnode 20 should be visited before node11\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 20 should be visited before node15\nnode 20 should be visited before node7\nnode 20 should be visited before node10\nnode 20 should be visited before node16\nnode 20 should be visited before node18\nnode 20 should be visited before node6\nnode 20 should be visited before node21\nnode 20 should be visited before node23\nnode 22 should be visited before node19\nnode 22 should be visited before node1\nnode 22 should be visited before node20\nnode 22 should be visited before node14\nnode 22 should be visited before node5\nnode 22 should be visited before node2\nnode 22 should be visited before node9\nnode 22 should be visited before node15\nnode 22 should be visited before node7\nnode 22 should be visited before node10\nnode 22 should be visited before node16\nnode 22 should be visited before node18\nnode 22 should be visited before node0\nnode 22 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,3,8,12,22,19,1,20,14,5,11,2,9,4,13,7,15,10,16,18,0,6,21,23."
            }
        ]
    },
    {
        "id": "topology-medium-graph933",
        "image": "data/topology/graph_visual/medium/graph933.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 0 should be visited before node4\nnode 0 should be visited before node15\nnode 0 should be visited before node17\nnode 0 should be visited before node13\nnode 0 should be visited before node10\nnode 1 should be visited before node14\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node4\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 1 should be visited before node18\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node18\nnode 2 should be visited before node6\nnode 3 should be visited before node19\nnode 3 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node15\nnode 3 should be visited before node10\nnode 3 should be visited before node18\nnode 4 should be visited before node9\nnode 4 should be visited before node10\nnode 4 should be visited before node6\nnode 5 should be visited before node10\nnode 5 should be visited before node18\nnode 7 should be visited before node2\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 7 should be visited before node5\nnode 7 should be visited before node8\nnode 7 should be visited before node15\nnode 7 should be visited before node17\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 9 should be visited before node10\nnode 10 should be visited before node18\nnode 11 should be visited before node3\nnode 11 should be visited before node19\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 11 should be visited before node20\nnode 11 should be visited before node14\nnode 11 should be visited before node5\nnode 11 should be visited before node4\nnode 11 should be visited before node15\nnode 11 should be visited before node17\nnode 11 should be visited before node9\nnode 11 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node5\nnode 12 should be visited before node4\nnode 12 should be visited before node17\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 14 should be visited before node15\nnode 14 should be visited before node9\nnode 14 should be visited before node13\nnode 14 should be visited before node10\nnode 14 should be visited before node18\nnode 14 should be visited before node6\nnode 15 should be visited before node9\nnode 15 should be visited before node13\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node2\nnode 16 should be visited before node1\nnode 16 should be visited before node5\nnode 16 should be visited before node15\nnode 16 should be visited before node18\nnode 16 should be visited before node6\nnode 17 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node6\nnode 18 should be visited before node6\nnode 19 should be visited before node12\nnode 19 should be visited before node0\nnode 19 should be visited before node14\nnode 19 should be visited before node4\nnode 19 should be visited before node15\nnode 19 should be visited before node10\nnode 19 should be visited before node18\nnode 20 should be visited before node5\nnode 20 should be visited before node8\nnode 20 should be visited before node4\nnode 20 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 20 should be visited before node18\nnode 20 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,11,3,19,7,2,12,1,0,20,14,5,8,4,17,15,9,13,10,18,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph234",
        "image": "data/topology/graph_visual/medium/graph234.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node3\nnode 0 should be visited before node2\nnode 1 should be visited before node9\nnode 1 should be visited before node11\nnode 1 should be visited before node0\nnode 1 should be visited before node3\nnode 3 should be visited before node12\nnode 4 should be visited before node12\nnode 4 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node12\nnode 7 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node5\nnode 10 should be visited before node8\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,6,5,8,1,9,7,11,4,0,3,2,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph584",
        "image": "data/topology/graph_visual/medium/graph584.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node10\nnode 0 should be visited before node8\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node16\nnode 3 should be visited before node10\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 5 should be visited before node12\nnode 5 should be visited before node6\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node5\nnode 8 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node16\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node12\nnode 9 should be visited before node2\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node16\nnode 11 should be visited before node10\nnode 11 should be visited before node1\nnode 12 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 13 should be visited before node3\nnode 13 should be visited before node16\nnode 13 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node9\nnode 14 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node10\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 15 should be visited before node7\nnode 15 should be visited before node9\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 15 should be visited before node2\nnode 15 should be visited before node6\nnode 16 should be visited before node10\nnode 16 should be visited before node1\nnode 16 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,14,15,11,7,3,9,4,0,16,8,10,1,5,2,12,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph702",
        "image": "data/topology/graph_visual/medium/graph702.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node13\nnode 0 should be visited before node12\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node16\nnode 1 should be visited before node6\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 1 should be visited before node17\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node16\nnode 1 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node12\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 2 should be visited before node11\nnode 3 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node13\nnode 3 should be visited before node12\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 4 should be visited before node2\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node14\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node7\nnode 4 should be visited before node8\nnode 4 should be visited before node11\nnode 5 should be visited before node6\nnode 5 should be visited before node15\nnode 5 should be visited before node13\nnode 5 should be visited before node12\nnode 5 should be visited before node17\nnode 5 should be visited before node7\nnode 5 should be visited before node16\nnode 5 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node3\nnode 6 should be visited before node13\nnode 6 should be visited before node17\nnode 6 should be visited before node7\nnode 6 should be visited before node16\nnode 6 should be visited before node11\nnode 7 should be visited before node8\nnode 7 should be visited before node16\nnode 7 should be visited before node11\nnode 9 should be visited before node3\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node7\nnode 9 should be visited before node11\nnode 10 should be visited before node4\nnode 10 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node15\nnode 10 should be visited before node0\nnode 10 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node17\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node16\nnode 10 should be visited before node11\nnode 12 should be visited before node17\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node16\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 14 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node17\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 15 should be visited before node0\nnode 15 should be visited before node13\nnode 15 should be visited before node17\nnode 15 should be visited before node16\nnode 16 should be visited before node11\nnode 17 should be visited before node7\nnode 17 should be visited before node8\nnode 17 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,4,2,5,1,6,9,3,14,15,0,13,12,17,7,8,16,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph1107",
        "image": "data/topology/graph_visual/medium/graph1107.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node22\nnode 0 should be visited before node21\nnode 0 should be visited before node14\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node13\nnode 2 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node18\nnode 2 should be visited before node19\nnode 4 should be visited before node10\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node18\nnode 4 should be visited before node16\nnode 4 should be visited before node13\nnode 4 should be visited before node14\nnode 5 should be visited before node12\nnode 5 should be visited before node0\nnode 5 should be visited before node22\nnode 5 should be visited before node21\nnode 6 should be visited before node21\nnode 7 should be visited before node3\nnode 8 should be visited before node15\nnode 8 should be visited before node18\nnode 8 should be visited before node19\nnode 8 should be visited before node22\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node18\nnode 9 should be visited before node16\nnode 10 should be visited before node18\nnode 11 should be visited before node9\nnode 11 should be visited before node17\nnode 11 should be visited before node20\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 11 should be visited before node19\nnode 11 should be visited before node21\nnode 12 should be visited before node19\nnode 12 should be visited before node22\nnode 15 should be visited before node10\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 16 should be visited before node22\nnode 16 should be visited before node13\nnode 17 should be visited before node0\nnode 17 should be visited before node21\nnode 18 should be visited before node16\nnode 18 should be visited before node22\nnode 19 should be visited before node0\nnode 19 should be visited before node13\nnode 19 should be visited before node21\nnode 20 should be visited before node1\nnode 20 should be visited before node15\nnode 20 should be visited before node12\nnode 20 should be visited before node0\nnode 20 should be visited before node13\nnode 22 should be visited before node6\nnode 22 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,8,11,9,17,20,1,2,12,15,7,19,10,3,0,18,14,16,22,13,6,21."
            }
        ]
    },
    {
        "id": "topology-medium-graph502",
        "image": "data/topology/graph_visual/medium/graph502.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 2 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node9\nnode 4 should be visited before node9\nnode 5 should be visited before node0\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 7 should be visited before node12\nnode 7 should be visited before node1\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node3\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node6\nnode 8 should be visited before node10\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 9 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node9\nnode 11 should be visited before node9\nnode 12 should be visited before node1\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 12 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 14 should be visited before node2\nnode 14 should be visited before node13\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node12\nnode 15 should be visited before node8\nnode 15 should be visited before node10\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,15,14,0,7,12,1,8,10,2,11,3,13,4,9,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph871",
        "image": "data/topology/graph_visual/medium/graph871.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node8\nnode 0 should be visited before node13\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 0 should be visited before node6\nnode 0 should be visited before node18\nnode 1 should be visited before node16\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node11\nnode 1 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node18\nnode 2 should be visited before node11\nnode 2 should be visited before node7\nnode 2 should be visited before node10\nnode 2 should be visited before node18\nnode 3 should be visited before node15\nnode 3 should be visited before node1\nnode 3 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node10\nnode 3 should be visited before node18\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 5 should be visited before node15\nnode 5 should be visited before node16\nnode 5 should be visited before node2\nnode 5 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 5 should be visited before node18\nnode 6 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node18\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node4\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 9 should be visited before node19\nnode 9 should be visited before node12\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node13\nnode 9 should be visited before node5\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node11\nnode 9 should be visited before node10\nnode 10 should be visited before node6\nnode 10 should be visited before node18\nnode 11 should be visited before node10\nnode 11 should be visited before node6\nnode 11 should be visited before node18\nnode 12 should be visited before node14\nnode 12 should be visited before node8\nnode 12 should be visited before node13\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 12 should be visited before node1\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node10\nnode 12 should be visited before node18\nnode 13 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node1\nnode 13 should be visited before node16\nnode 13 should be visited before node4\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 13 should be visited before node6\nnode 14 should be visited before node0\nnode 14 should be visited before node8\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 15 should be visited before node16\nnode 15 should be visited before node4\nnode 15 should be visited before node2\nnode 15 should be visited before node11\nnode 15 should be visited before node7\nnode 15 should be visited before node10\nnode 16 should be visited before node4\nnode 16 should be visited before node10\nnode 16 should be visited before node6\nnode 16 should be visited before node18\nnode 17 should be visited before node9\nnode 17 should be visited before node0\nnode 17 should be visited before node5\nnode 17 should be visited before node3\nnode 17 should be visited before node15\nnode 17 should be visited before node1\nnode 17 should be visited before node4\nnode 17 should be visited before node2\nnode 17 should be visited before node11\nnode 17 should be visited before node7\nnode 17 should be visited before node18\nnode 19 should be visited before node12\nnode 19 should be visited before node14\nnode 19 should be visited before node0\nnode 19 should be visited before node8\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 19 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node11\nnode 19 should be visited before node6\nnode 19 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,9,19,12,14,0,8,13,5,3,15,1,16,2,4,11,7,10,6,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph631",
        "image": "data/topology/graph_visual/medium/graph631.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node4\nnode 3 should be visited before node10\nnode 5 should be visited before node7\nnode 5 should be visited before node14\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 6 should be visited before node11\nnode 6 should be visited before node14\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 7 should be visited before node12\nnode 7 should be visited before node16\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node4\nnode 8 should be visited before node15\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node9\nnode 10 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node15\nnode 12 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node15\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node0\nnode 13 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node15\nnode 14 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node2\nnode 14 should be visited before node9\nnode 16 should be visited before node4\nnode 16 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,13,17,14,8,11,7,3,12,16,0,10,2,4,9,1,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph611",
        "image": "data/topology/graph_visual/medium/graph611.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 1 should be visited before node13\nnode 1 should be visited before node16\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node11\nnode 2 should be visited before node12\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 3 should be visited before node2\nnode 3 should be visited before node12\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node14\nnode 4 should be visited before node13\nnode 4 should be visited before node16\nnode 4 should be visited before node2\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 4 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node1\nnode 5 should be visited before node16\nnode 5 should be visited before node2\nnode 5 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node11\nnode 5 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node14\nnode 6 should be visited before node13\nnode 6 should be visited before node16\nnode 6 should be visited before node2\nnode 6 should be visited before node12\nnode 6 should be visited before node15\nnode 6 should be visited before node11\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 7 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node1\nnode 7 should be visited before node16\nnode 7 should be visited before node0\nnode 8 should be visited before node4\nnode 8 should be visited before node6\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node3\nnode 8 should be visited before node14\nnode 8 should be visited before node1\nnode 8 should be visited before node16\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node15\nnode 8 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 9 should be visited before node1\nnode 9 should be visited before node16\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 9 should be visited before node11\nnode 9 should be visited before node0\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node1\nnode 10 should be visited before node16\nnode 10 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node11\nnode 10 should be visited before node0\nnode 11 should be visited before node0\nnode 12 should be visited before node15\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 13 should be visited before node15\nnode 13 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node13\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 15 should be visited before node0\nnode 16 should be visited before node15\nnode 16 should be visited before node11\nnode 16 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,8,4,6,10,9,5,3,14,1,13,16,2,12,15,11,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph602",
        "image": "data/topology/graph_visual/medium/graph602.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 0 should be visited before node10\nnode 1 should be visited before node10\nnode 2 should be visited before node6\nnode 2 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node10\nnode 5 should be visited before node15\nnode 5 should be visited before node12\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 5 should be visited before node14\nnode 5 should be visited before node4\nnode 5 should be visited before node16\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 6 should be visited before node14\nnode 6 should be visited before node0\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 7 should be visited before node16\nnode 7 should be visited before node9\nnode 7 should be visited before node10\nnode 8 should be visited before node6\nnode 8 should be visited before node14\nnode 8 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node16\nnode 8 should be visited before node13\nnode 8 should be visited before node1\nnode 9 should be visited before node10\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node16\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 11 should be visited before node10\nnode 12 should be visited before node11\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 12 should be visited before node1\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 14 should be visited before node4\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node16\nnode 14 should be visited before node1\nnode 14 should be visited before node10\nnode 15 should be visited before node12\nnode 15 should be visited before node2\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node16\nnode 15 should be visited before node9\nnode 15 should be visited before node3\nnode 16 should be visited before node9\nnode 16 should be visited before node3\nnode 16 should be visited before node13\nnode 16 should be visited before node1\nnode 16 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,15,12,2,11,8,6,14,4,0,7,16,9,3,13,1,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph799",
        "image": "data/topology/graph_visual/medium/graph799.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node16\nnode 0 should be visited before node15\nnode 0 should be visited before node1\nnode 0 should be visited before node10\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node3\nnode 2 should be visited before node10\nnode 3 should be visited before node10\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 5 should be visited before node18\nnode 5 should be visited before node8\nnode 5 should be visited before node12\nnode 5 should be visited before node16\nnode 5 should be visited before node15\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 5 should be visited before node10\nnode 6 should be visited before node1\nnode 6 should be visited before node4\nnode 6 should be visited before node3\nnode 6 should be visited before node10\nnode 7 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node6\nnode 8 should be visited before node15\nnode 8 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 9 should be visited before node17\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 9 should be visited before node18\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node8\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 12 should be visited before node15\nnode 12 should be visited before node4\nnode 12 should be visited before node3\nnode 12 should be visited before node10\nnode 13 should be visited before node17\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node15\nnode 13 should be visited before node1\nnode 13 should be visited before node2\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 13 should be visited before node10\nnode 14 should be visited before node9\nnode 14 should be visited before node13\nnode 14 should be visited before node17\nnode 14 should be visited before node11\nnode 14 should be visited before node5\nnode 14 should be visited before node18\nnode 14 should be visited before node12\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node4\nnode 14 should be visited before node10\nnode 15 should be visited before node1\nnode 15 should be visited before node2\nnode 15 should be visited before node3\nnode 16 should be visited before node15\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node3\nnode 16 should be visited before node10\nnode 17 should be visited before node11\nnode 17 should be visited before node18\nnode 17 should be visited before node8\nnode 17 should be visited before node0\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node6\nnode 17 should be visited before node15\nnode 17 should be visited before node1\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node3\nnode 17 should be visited before node10\nnode 18 should be visited before node8\nnode 18 should be visited before node0\nnode 18 should be visited before node12\nnode 18 should be visited before node16\nnode 18 should be visited before node6\nnode 18 should be visited before node15\nnode 18 should be visited before node1\nnode 18 should be visited before node4\nnode 18 should be visited before node7\nnode 18 should be visited before node3\nnode 18 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,9,13,17,5,11,18,8,0,12,6,16,15,1,2,4,3,7,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph1250",
        "image": "data/topology/graph_visual/medium/graph1250.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node10\nnode 0 should be visited before node21\nnode 0 should be visited before node17\nnode 0 should be visited before node16\nnode 0 should be visited before node2\nnode 1 should be visited before node10\nnode 1 should be visited before node21\nnode 1 should be visited before node7\nnode 1 should be visited before node17\nnode 1 should be visited before node23\nnode 1 should be visited before node16\nnode 1 should be visited before node2\nnode 1 should be visited before node20\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 3 should be visited before node22\nnode 3 should be visited before node13\nnode 3 should be visited before node19\nnode 3 should be visited before node14\nnode 3 should be visited before node8\nnode 3 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node17\nnode 3 should be visited before node23\nnode 3 should be visited before node16\nnode 4 should be visited before node22\nnode 4 should be visited before node13\nnode 4 should be visited before node19\nnode 4 should be visited before node8\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node10\nnode 4 should be visited before node21\nnode 4 should be visited before node7\nnode 4 should be visited before node17\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node21\nnode 5 should be visited before node7\nnode 5 should be visited before node20\nnode 6 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node18\nnode 6 should be visited before node22\nnode 6 should be visited before node13\nnode 6 should be visited before node19\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node10\nnode 6 should be visited before node21\nnode 6 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node23\nnode 6 should be visited before node16\nnode 6 should be visited before node2\nnode 7 should be visited before node2\nnode 7 should be visited before node20\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node10\nnode 8 should be visited before node21\nnode 8 should be visited before node17\nnode 8 should be visited before node16\nnode 8 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node6\nnode 9 should be visited before node12\nnode 9 should be visited before node3\nnode 9 should be visited before node18\nnode 9 should be visited before node22\nnode 9 should be visited before node13\nnode 9 should be visited before node19\nnode 9 should be visited before node14\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node21\nnode 9 should be visited before node7\nnode 9 should be visited before node17\nnode 9 should be visited before node23\nnode 9 should be visited before node16\nnode 9 should be visited before node2\nnode 9 should be visited before node20\nnode 10 should be visited before node7\nnode 10 should be visited before node17\nnode 10 should be visited before node2\nnode 10 should be visited before node20\nnode 11 should be visited before node6\nnode 11 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node8\nnode 11 should be visited before node0\nnode 11 should be visited before node5\nnode 11 should be visited before node1\nnode 11 should be visited before node21\nnode 11 should be visited before node17\nnode 11 should be visited before node23\nnode 11 should be visited before node2\nnode 12 should be visited before node3\nnode 12 should be visited before node18\nnode 12 should be visited before node22\nnode 12 should be visited before node14\nnode 12 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node7\nnode 12 should be visited before node17\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 12 should be visited before node20\nnode 13 should be visited before node19\nnode 13 should be visited before node14\nnode 13 should be visited before node8\nnode 13 should be visited before node0\nnode 13 should be visited before node5\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node21\nnode 13 should be visited before node17\nnode 13 should be visited before node23\nnode 13 should be visited before node16\nnode 13 should be visited before node2\nnode 14 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node10\nnode 14 should be visited before node21\nnode 14 should be visited before node7\nnode 14 should be visited before node17\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node20\nnode 15 should be visited before node6\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node14\nnode 15 should be visited before node8\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node21\nnode 15 should be visited before node7\nnode 15 should be visited before node23\nnode 15 should be visited before node16\nnode 15 should be visited before node2\nnode 16 should be visited before node2\nnode 17 should be visited before node23\nnode 17 should be visited before node16\nnode 17 should be visited before node20\nnode 18 should be visited before node22\nnode 18 should be visited before node13\nnode 18 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node0\nnode 18 should be visited before node5\nnode 18 should be visited before node10\nnode 18 should be visited before node23\nnode 18 should be visited before node2\nnode 19 should be visited before node14\nnode 19 should be visited before node8\nnode 19 should be visited before node0\nnode 19 should be visited before node5\nnode 19 should be visited before node1\nnode 19 should be visited before node10\nnode 19 should be visited before node7\nnode 19 should be visited before node17\nnode 19 should be visited before node23\nnode 19 should be visited before node16\nnode 19 should be visited before node2\nnode 19 should be visited before node20\nnode 21 should be visited before node7\nnode 21 should be visited before node17\nnode 21 should be visited before node23\nnode 21 should be visited before node16\nnode 21 should be visited before node2\nnode 21 should be visited before node20\nnode 22 should be visited before node13\nnode 22 should be visited before node19\nnode 22 should be visited before node14\nnode 22 should be visited before node8\nnode 22 should be visited before node0\nnode 22 should be visited before node5\nnode 22 should be visited before node1\nnode 22 should be visited before node10\nnode 22 should be visited before node21\nnode 22 should be visited before node7\nnode 22 should be visited before node23\nnode 22 should be visited before node16\nnode 22 should be visited before node2\nnode 22 should be visited before node20\nnode 23 should be visited before node2\nnode 23 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,11,15,6,12,3,4,18,22,13,19,14,8,0,5,1,10,21,7,17,23,16,20,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph1214",
        "image": "data/topology/graph_visual/medium/graph1214.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node3\nnode 0 should be visited before node8\nnode 0 should be visited before node23\nnode 0 should be visited before node6\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 0 should be visited before node17\nnode 0 should be visited before node15\nnode 1 should be visited before node11\nnode 1 should be visited before node22\nnode 1 should be visited before node15\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node3\nnode 2 should be visited before node19\nnode 2 should be visited before node23\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node16\nnode 2 should be visited before node17\nnode 2 should be visited before node22\nnode 3 should be visited before node8\nnode 3 should be visited before node23\nnode 3 should be visited before node20\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node22\nnode 4 should be visited before node13\nnode 4 should be visited before node9\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node8\nnode 4 should be visited before node23\nnode 4 should be visited before node20\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 4 should be visited before node22\nnode 4 should be visited before node15\nnode 5 should be visited before node16\nnode 6 should be visited before node14\nnode 6 should be visited before node5\nnode 6 should be visited before node11\nnode 6 should be visited before node17\nnode 6 should be visited before node22\nnode 7 should be visited before node4\nnode 7 should be visited before node13\nnode 7 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node23\nnode 7 should be visited before node20\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node22\nnode 8 should be visited before node20\nnode 8 should be visited before node6\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node17\nnode 8 should be visited before node22\nnode 9 should be visited before node19\nnode 9 should be visited before node23\nnode 9 should be visited before node20\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node1\nnode 9 should be visited before node17\nnode 9 should be visited before node22\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node3\nnode 10 should be visited before node20\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node11\nnode 10 should be visited before node22\nnode 10 should be visited before node15\nnode 11 should be visited before node17\nnode 11 should be visited before node22\nnode 11 should be visited before node15\nnode 12 should be visited before node14\nnode 12 should be visited before node5\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node22\nnode 12 should be visited before node15\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node3\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node14\nnode 13 should be visited before node5\nnode 13 should be visited before node11\nnode 13 should be visited before node22\nnode 14 should be visited before node5\nnode 16 should be visited before node15\nnode 17 should be visited before node22\nnode 18 should be visited before node9\nnode 18 should be visited before node12\nnode 18 should be visited before node3\nnode 18 should be visited before node8\nnode 18 should be visited before node14\nnode 18 should be visited before node16\nnode 18 should be visited before node11\nnode 18 should be visited before node22\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node6\nnode 19 should be visited before node5\nnode 19 should be visited before node11\nnode 19 should be visited before node17\nnode 19 should be visited before node22\nnode 20 should be visited before node6\nnode 20 should be visited before node16\nnode 20 should be visited before node1\nnode 20 should be visited before node11\nnode 20 should be visited before node17\nnode 21 should be visited before node4\nnode 21 should be visited before node13\nnode 21 should be visited before node2\nnode 21 should be visited before node0\nnode 21 should be visited before node12\nnode 21 should be visited before node3\nnode 21 should be visited before node19\nnode 21 should be visited before node8\nnode 21 should be visited before node23\nnode 21 should be visited before node5\nnode 21 should be visited before node16\nnode 21 should be visited before node1\nnode 21 should be visited before node11\nnode 21 should be visited before node17\nnode 21 should be visited before node15\nnode 23 should be visited before node14\nnode 23 should be visited before node16\nnode 23 should be visited before node1\nnode 23 should be visited before node11\nnode 23 should be visited before node22\nnode 23 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,21,4,2,13,18,0,10,9,12,3,19,8,23,20,6,1,14,11,5,17,16,22,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph1048",
        "image": "data/topology/graph_visual/medium/graph1048.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 1 should be visited before node18\nnode 2 should be visited before node4\nnode 2 should be visited before node10\nnode 3 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node13\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 5 should be visited before node18\nnode 5 should be visited before node2\nnode 5 should be visited before node10\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node21\nnode 6 should be visited before node3\nnode 6 should be visited before node18\nnode 6 should be visited before node10\nnode 6 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node21\nnode 7 should be visited before node4\nnode 7 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node9\nnode 8 should be visited before node16\nnode 8 should be visited before node6\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 9 should be visited before node16\nnode 9 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 9 should be visited before node21\nnode 9 should be visited before node18\nnode 9 should be visited before node10\nnode 10 should be visited before node0\nnode 11 should be visited before node14\nnode 11 should be visited before node7\nnode 11 should be visited before node12\nnode 11 should be visited before node1\nnode 11 should be visited before node21\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 12 should be visited before node1\nnode 12 should be visited before node21\nnode 12 should be visited before node18\nnode 12 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node15\nnode 13 should be visited before node12\nnode 13 should be visited before node1\nnode 13 should be visited before node21\nnode 13 should be visited before node3\nnode 13 should be visited before node4\nnode 13 should be visited before node10\nnode 13 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node7\nnode 14 should be visited before node12\nnode 14 should be visited before node1\nnode 14 should be visited before node21\nnode 14 should be visited before node3\nnode 14 should be visited before node10\nnode 14 should be visited before node0\nnode 15 should be visited before node12\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 15 should be visited before node18\nnode 15 should be visited before node0\nnode 16 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node18\nnode 17 should be visited before node8\nnode 17 should be visited before node19\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 17 should be visited before node12\nnode 17 should be visited before node1\nnode 17 should be visited before node3\nnode 17 should be visited before node18\nnode 17 should be visited before node2\nnode 17 should be visited before node4\nnode 17 should be visited before node10\nnode 17 should be visited before node0\nnode 18 should be visited before node2\nnode 18 should be visited before node10\nnode 18 should be visited before node0\nnode 19 should be visited before node9\nnode 19 should be visited before node6\nnode 19 should be visited before node13\nnode 19 should be visited before node12\nnode 19 should be visited before node1\nnode 19 should be visited before node21\nnode 19 should be visited before node2\nnode 20 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node9\nnode 20 should be visited before node16\nnode 20 should be visited before node6\nnode 20 should be visited before node13\nnode 20 should be visited before node7\nnode 20 should be visited before node15\nnode 20 should be visited before node12\nnode 20 should be visited before node3\nnode 20 should be visited before node18\nnode 20 should be visited before node10\nnode 21 should be visited before node3\nnode 21 should be visited before node18\nnode 21 should be visited before node4\nnode 21 should be visited before node10\nnode 21 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,20,8,5,19,9,16,6,11,14,13,7,15,12,1,21,3,18,2,4,10,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph1189",
        "image": "data/topology/graph_visual/medium/graph1189.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node12\nnode 0 should be visited before node20\nnode 0 should be visited before node21\nnode 0 should be visited before node19\nnode 1 should be visited before node13\nnode 1 should be visited before node23\nnode 1 should be visited before node20\nnode 1 should be visited before node2\nnode 1 should be visited before node16\nnode 1 should be visited before node9\nnode 4 should be visited before node8\nnode 4 should be visited before node18\nnode 4 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 6 should be visited before node4\nnode 6 should be visited before node21\nnode 6 should be visited before node19\nnode 6 should be visited before node9\nnode 6 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node3\nnode 8 should be visited before node18\nnode 8 should be visited before node14\nnode 8 should be visited before node9\nnode 8 should be visited before node3\nnode 10 should be visited before node23\nnode 10 should be visited before node7\nnode 10 should be visited before node18\nnode 10 should be visited before node2\nnode 10 should be visited before node19\nnode 10 should be visited before node5\nnode 11 should be visited before node13\nnode 11 should be visited before node22\nnode 11 should be visited before node10\nnode 11 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node20\nnode 11 should be visited before node14\nnode 11 should be visited before node16\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node19\nnode 12 should be visited before node9\nnode 12 should be visited before node5\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 14 should be visited before node9\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 15 should be visited before node12\nnode 15 should be visited before node4\nnode 15 should be visited before node21\nnode 15 should be visited before node14\nnode 16 should be visited before node3\nnode 17 should be visited before node6\nnode 17 should be visited before node10\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 18 should be visited before node2\nnode 18 should be visited before node16\nnode 18 should be visited before node9\nnode 19 should be visited before node9\nnode 20 should be visited before node14\nnode 20 should be visited before node2\nnode 21 should be visited before node19\nnode 21 should be visited before node3\nnode 22 should be visited before node10\nnode 22 should be visited before node23\nnode 22 should be visited before node4\nnode 22 should be visited before node18\nnode 22 should be visited before node20\nnode 22 should be visited before node2\nnode 22 should be visited before node3\nnode 23 should be visited before node4\nnode 23 should be visited before node18\nnode 23 should be visited before node16\nnode 23 should be visited before node19\nnode 23 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,15,17,12,6,11,21,13,22,10,20,23,7,4,19,5,8,18,14,2,16,9,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph199",
        "image": "data/topology/graph_visual/medium/graph199.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node9\nnode 0 should be visited before node12\nnode 1 should be visited before node5\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 2 should be visited before node3\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 4 should be visited before node9\nnode 5 should be visited before node3\nnode 5 should be visited before node4\nnode 6 should be visited before node5\nnode 6 should be visited before node12\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 10 should be visited before node2\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,10,11,2,1,6,8,5,3,7,4,12,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph1097",
        "image": "data/topology/graph_visual/medium/graph1097.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node21\nnode 0 should be visited before node18\nnode 0 should be visited before node3\nnode 0 should be visited before node9\nnode 1 should be visited before node17\nnode 1 should be visited before node14\nnode 1 should be visited before node8\nnode 1 should be visited before node9\nnode 2 should be visited before node18\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node9\nnode 4 should be visited before node15\nnode 4 should be visited before node12\nnode 4 should be visited before node2\nnode 4 should be visited before node18\nnode 4 should be visited before node1\nnode 4 should be visited before node17\nnode 5 should be visited before node7\nnode 5 should be visited before node12\nnode 5 should be visited before node2\nnode 5 should be visited before node21\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node10\nnode 5 should be visited before node13\nnode 6 should be visited before node18\nnode 6 should be visited before node14\nnode 6 should be visited before node20\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node14\nnode 7 should be visited before node8\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 9 should be visited before node13\nnode 10 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node22\nnode 11 should be visited before node7\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 11 should be visited before node9\nnode 11 should be visited before node13\nnode 12 should be visited before node2\nnode 12 should be visited before node0\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node8\nnode 14 should be visited before node20\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node13\nnode 15 should be visited before node22\nnode 15 should be visited before node7\nnode 15 should be visited before node12\nnode 15 should be visited before node18\nnode 15 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 16 should be visited before node6\nnode 16 should be visited before node22\nnode 16 should be visited before node5\nnode 16 should be visited before node7\nnode 16 should be visited before node2\nnode 16 should be visited before node10\nnode 16 should be visited before node8\nnode 16 should be visited before node9\nnode 17 should be visited before node10\nnode 18 should be visited before node14\nnode 18 should be visited before node13\nnode 19 should be visited before node6\nnode 19 should be visited before node22\nnode 19 should be visited before node21\nnode 19 should be visited before node8\nnode 19 should be visited before node9\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 21 should be visited before node18\nnode 21 should be visited before node1\nnode 21 should be visited before node20\nnode 22 should be visited before node12\nnode 22 should be visited before node21\nnode 22 should be visited before node1\nnode 22 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,11,16,19,15,5,6,22,7,12,2,0,21,18,1,17,14,8,20,10,3,9,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph937",
        "image": "data/topology/graph_visual/medium/graph937.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node13\nnode 1 should be visited before node12\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 2 should be visited before node12\nnode 2 should be visited before node13\nnode 2 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node14\nnode 3 should be visited before node16\nnode 3 should be visited before node6\nnode 3 should be visited before node15\nnode 3 should be visited before node18\nnode 3 should be visited before node12\nnode 3 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 5 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node12\nnode 5 should be visited before node0\nnode 6 should be visited before node18\nnode 6 should be visited before node0\nnode 6 should be visited before node13\nnode 7 should be visited before node20\nnode 7 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node18\nnode 7 should be visited before node0\nnode 7 should be visited before node13\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node15\nnode 8 should be visited before node18\nnode 8 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node13\nnode 8 should be visited before node17\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node18\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node8\nnode 10 should be visited before node9\nnode 10 should be visited before node6\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node17\nnode 11 should be visited before node7\nnode 11 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node16\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node15\nnode 11 should be visited before node2\nnode 11 should be visited before node12\nnode 11 should be visited before node0\nnode 11 should be visited before node13\nnode 12 should be visited before node13\nnode 12 should be visited before node17\nnode 14 should be visited before node16\nnode 14 should be visited before node8\nnode 14 should be visited before node9\nnode 14 should be visited before node6\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node18\nnode 14 should be visited before node1\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node17\nnode 15 should be visited before node18\nnode 15 should be visited before node1\nnode 15 should be visited before node12\nnode 16 should be visited before node9\nnode 16 should be visited before node2\nnode 16 should be visited before node0\nnode 16 should be visited before node13\nnode 16 should be visited before node17\nnode 18 should be visited before node1\nnode 18 should be visited before node0\nnode 18 should be visited before node13\nnode 19 should be visited before node7\nnode 19 should be visited before node3\nnode 19 should be visited before node10\nnode 19 should be visited before node14\nnode 19 should be visited before node16\nnode 19 should be visited before node5\nnode 19 should be visited before node15\nnode 19 should be visited before node18\nnode 19 should be visited before node1\nnode 19 should be visited before node0\nnode 19 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node4\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 20 should be visited before node18\nnode 20 should be visited before node1\nnode 20 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,19,7,3,20,10,14,16,8,9,5,4,6,15,2,18,1,0,12,13,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph243",
        "image": "data/topology/graph_visual/medium/graph243.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 0 should be visited before node10\nnode 0 should be visited before node9\nnode 0 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 3 should be visited before node12\nnode 3 should be visited before node7\nnode 3 should be visited before node9\nnode 3 should be visited before node6\nnode 5 should be visited before node8\nnode 5 should be visited before node3\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 8 should be visited before node12\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 10 should be visited before node8\nnode 10 should be visited before node3\nnode 10 should be visited before node9\nnode 10 should be visited before node6\nnode 10 should be visited before node4\nnode 11 should be visited before node8\nnode 11 should be visited before node7\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 12 should be visited before node7\nnode 12 should be visited before node9\nnode 12 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,2,10,5,11,3,8,12,7,9,6,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph405",
        "image": "data/topology/graph_visual/medium/graph405.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node11\nnode 0 should be visited before node9\nnode 0 should be visited before node14\nnode 0 should be visited before node3\nnode 0 should be visited before node7\nnode 0 should be visited before node12\nnode 0 should be visited before node13\nnode 1 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node11\nnode 1 should be visited before node14\nnode 1 should be visited before node10\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 3 should be visited before node7\nnode 3 should be visited before node13\nnode 4 should be visited before node9\nnode 4 should be visited before node14\nnode 4 should be visited before node5\nnode 4 should be visited before node12\nnode 5 should be visited before node12\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node13\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 8 should be visited before node6\nnode 8 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 8 should be visited before node12\nnode 9 should be visited before node14\nnode 9 should be visited before node7\nnode 9 should be visited before node12\nnode 10 should be visited before node3\nnode 10 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 11 should be visited before node7\nnode 12 should be visited before node13\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node7\nnode 14 should be visited before node12\nnode 14 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,8,6,11,4,2,9,5,14,10,3,7,12,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph564",
        "image": "data/topology/graph_visual/medium/graph564.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node16\nnode 0 should be visited before node5\nnode 0 should be visited before node9\nnode 0 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node11\nnode 3 should be visited before node15\nnode 3 should be visited before node13\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 4 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 7 should be visited before node6\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 9 should be visited before node4\nnode 11 should be visited before node4\nnode 12 should be visited before node0\nnode 13 should be visited before node16\nnode 13 should be visited before node2\nnode 13 should be visited before node6\nnode 14 should be visited before node7\nnode 15 should be visited before node12\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node9\nnode 15 should be visited before node7\nnode 16 should be visited before node1\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 16 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,8,15,13,12,0,16,1,14,5,11,9,7,2,4,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1147",
        "image": "data/topology/graph_visual/medium/graph1147.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node10\nnode 0 should be visited before node12\nnode 0 should be visited before node14\nnode 0 should be visited before node18\nnode 0 should be visited before node9\nnode 0 should be visited before node16\nnode 0 should be visited before node5\nnode 0 should be visited before node15\nnode 0 should be visited before node11\nnode 0 should be visited before node22\nnode 0 should be visited before node2\nnode 0 should be visited before node13\nnode 0 should be visited before node3\nnode 1 should be visited before node15\nnode 1 should be visited before node19\nnode 1 should be visited before node11\nnode 1 should be visited before node22\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 1 should be visited before node3\nnode 2 should be visited before node13\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node14\nnode 4 should be visited before node18\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node19\nnode 4 should be visited before node11\nnode 4 should be visited before node22\nnode 4 should be visited before node17\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node3\nnode 5 should be visited before node15\nnode 5 should be visited before node19\nnode 5 should be visited before node11\nnode 5 should be visited before node17\nnode 5 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node12\nnode 6 should be visited before node18\nnode 6 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node16\nnode 6 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node19\nnode 6 should be visited before node17\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 7 should be visited before node5\nnode 7 should be visited before node15\nnode 7 should be visited before node22\nnode 7 should be visited before node17\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 8 should be visited before node20\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node14\nnode 8 should be visited before node18\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node5\nnode 8 should be visited before node15\nnode 8 should be visited before node19\nnode 8 should be visited before node11\nnode 8 should be visited before node2\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node16\nnode 9 should be visited before node7\nnode 9 should be visited before node15\nnode 9 should be visited before node11\nnode 9 should be visited before node22\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node18\nnode 10 should be visited before node1\nnode 10 should be visited before node16\nnode 10 should be visited before node5\nnode 10 should be visited before node15\nnode 10 should be visited before node19\nnode 10 should be visited before node11\nnode 10 should be visited before node13\nnode 10 should be visited before node3\nnode 11 should be visited before node22\nnode 11 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 12 should be visited before node5\nnode 12 should be visited before node19\nnode 12 should be visited before node11\nnode 12 should be visited before node22\nnode 12 should be visited before node17\nnode 12 should be visited before node2\nnode 12 should be visited before node13\nnode 12 should be visited before node3\nnode 13 should be visited before node3\nnode 14 should be visited before node18\nnode 14 should be visited before node9\nnode 14 should be visited before node16\nnode 14 should be visited before node7\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node11\nnode 14 should be visited before node22\nnode 14 should be visited before node17\nnode 14 should be visited before node2\nnode 15 should be visited before node19\nnode 15 should be visited before node11\nnode 15 should be visited before node22\nnode 15 should be visited before node17\nnode 15 should be visited before node13\nnode 15 should be visited before node3\nnode 16 should be visited before node5\nnode 16 should be visited before node15\nnode 16 should be visited before node19\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 17 should be visited before node3\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 18 should be visited before node5\nnode 18 should be visited before node15\nnode 18 should be visited before node19\nnode 18 should be visited before node11\nnode 18 should be visited before node22\nnode 18 should be visited before node17\nnode 18 should be visited before node2\nnode 18 should be visited before node13\nnode 18 should be visited before node3\nnode 19 should be visited before node17\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 20 should be visited before node4\nnode 20 should be visited before node10\nnode 20 should be visited before node12\nnode 20 should be visited before node14\nnode 20 should be visited before node9\nnode 20 should be visited before node1\nnode 20 should be visited before node16\nnode 20 should be visited before node7\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 20 should be visited before node11\nnode 20 should be visited before node22\nnode 20 should be visited before node17\nnode 20 should be visited before node13\nnode 21 should be visited before node20\nnode 21 should be visited before node4\nnode 21 should be visited before node0\nnode 21 should be visited before node10\nnode 21 should be visited before node12\nnode 21 should be visited before node18\nnode 21 should be visited before node16\nnode 21 should be visited before node7\nnode 21 should be visited before node5\nnode 21 should be visited before node11\nnode 21 should be visited before node22\nnode 21 should be visited before node2\nnode 21 should be visited before node3\nnode 22 should be visited before node17\nnode 22 should be visited before node2\nnode 22 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,8,21,20,4,0,10,12,14,18,9,1,16,7,5,15,19,11,22,17,2,13,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph1248",
        "image": "data/topology/graph_visual/medium/graph1248.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node12\nnode 0 should be visited before node22\nnode 0 should be visited before node4\nnode 0 should be visited before node23\nnode 0 should be visited before node17\nnode 0 should be visited before node6\nnode 0 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 1 should be visited before node21\nnode 1 should be visited before node8\nnode 1 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node19\nnode 1 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node0\nnode 1 should be visited before node12\nnode 1 should be visited before node22\nnode 1 should be visited before node4\nnode 1 should be visited before node23\nnode 1 should be visited before node17\nnode 1 should be visited before node6\nnode 1 should be visited before node14\nnode 2 should be visited before node20\nnode 2 should be visited before node13\nnode 2 should be visited before node15\nnode 2 should be visited before node5\nnode 2 should be visited before node19\nnode 2 should be visited before node11\nnode 2 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node12\nnode 2 should be visited before node22\nnode 2 should be visited before node4\nnode 2 should be visited before node23\nnode 2 should be visited before node17\nnode 2 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node12\nnode 3 should be visited before node22\nnode 3 should be visited before node4\nnode 3 should be visited before node23\nnode 4 should be visited before node17\nnode 4 should be visited before node14\nnode 5 should be visited before node19\nnode 5 should be visited before node11\nnode 5 should be visited before node18\nnode 5 should be visited before node0\nnode 5 should be visited before node22\nnode 5 should be visited before node4\nnode 5 should be visited before node23\nnode 5 should be visited before node17\nnode 5 should be visited before node6\nnode 6 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node9\nnode 7 should be visited before node2\nnode 7 should be visited before node13\nnode 7 should be visited before node8\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node12\nnode 7 should be visited before node22\nnode 7 should be visited before node4\nnode 7 should be visited before node23\nnode 7 should be visited before node17\nnode 7 should be visited before node6\nnode 8 should be visited before node15\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node18\nnode 8 should be visited before node22\nnode 8 should be visited before node4\nnode 8 should be visited before node6\nnode 8 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node20\nnode 9 should be visited before node13\nnode 9 should be visited before node8\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 9 should be visited before node19\nnode 9 should be visited before node18\nnode 9 should be visited before node0\nnode 9 should be visited before node12\nnode 9 should be visited before node23\nnode 9 should be visited before node17\nnode 9 should be visited before node14\nnode 10 should be visited before node1\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 10 should be visited before node20\nnode 10 should be visited before node13\nnode 10 should be visited before node19\nnode 10 should be visited before node18\nnode 10 should be visited before node0\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node23\nnode 10 should be visited before node6\nnode 11 should be visited before node3\nnode 11 should be visited before node0\nnode 11 should be visited before node4\nnode 11 should be visited before node23\nnode 11 should be visited before node17\nnode 11 should be visited before node14\nnode 12 should be visited before node4\nnode 12 should be visited before node23\nnode 12 should be visited before node17\nnode 12 should be visited before node6\nnode 12 should be visited before node14\nnode 13 should be visited before node21\nnode 13 should be visited before node8\nnode 13 should be visited before node15\nnode 13 should be visited before node5\nnode 13 should be visited before node19\nnode 13 should be visited before node11\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 13 should be visited before node23\nnode 13 should be visited before node17\nnode 13 should be visited before node6\nnode 15 should be visited before node19\nnode 15 should be visited before node11\nnode 15 should be visited before node18\nnode 15 should be visited before node0\nnode 15 should be visited before node22\nnode 15 should be visited before node4\nnode 15 should be visited before node23\nnode 15 should be visited before node17\nnode 15 should be visited before node14\nnode 16 should be visited before node9\nnode 16 should be visited before node20\nnode 16 should be visited before node13\nnode 16 should be visited before node21\nnode 16 should be visited before node8\nnode 16 should be visited before node15\nnode 16 should be visited before node5\nnode 16 should be visited before node18\nnode 16 should be visited before node3\nnode 16 should be visited before node0\nnode 16 should be visited before node12\nnode 16 should be visited before node22\nnode 16 should be visited before node4\nnode 16 should be visited before node17\nnode 16 should be visited before node6\nnode 17 should be visited before node6\nnode 17 should be visited before node14\nnode 18 should be visited before node22\nnode 18 should be visited before node4\nnode 18 should be visited before node23\nnode 18 should be visited before node17\nnode 18 should be visited before node6\nnode 19 should be visited before node3\nnode 19 should be visited before node0\nnode 19 should be visited before node12\nnode 19 should be visited before node22\nnode 19 should be visited before node4\nnode 19 should be visited before node23\nnode 19 should be visited before node17\nnode 19 should be visited before node6\nnode 19 should be visited before node14\nnode 20 should be visited before node13\nnode 20 should be visited before node21\nnode 20 should be visited before node8\nnode 20 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node18\nnode 20 should be visited before node12\nnode 20 should be visited before node23\nnode 20 should be visited before node6\nnode 20 should be visited before node14\nnode 21 should be visited before node8\nnode 21 should be visited before node15\nnode 21 should be visited before node5\nnode 21 should be visited before node19\nnode 21 should be visited before node11\nnode 21 should be visited before node18\nnode 21 should be visited before node12\nnode 21 should be visited before node22\nnode 21 should be visited before node4\nnode 21 should be visited before node23\nnode 21 should be visited before node17\nnode 22 should be visited before node23\nnode 22 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,10,1,16,9,2,20,13,21,8,15,5,19,11,18,3,0,12,22,4,23,17,6,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph119",
        "image": "data/topology/graph_visual/medium/graph119.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 11 should be visited before node6\nnode 11 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,9,11,2,10,0,7,8,6,5,4,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph196",
        "image": "data/topology/graph_visual/medium/graph196.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 3 should be visited before node1\nnode 4 should be visited before node11\nnode 5 should be visited before node8\nnode 5 should be visited before node7\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 7 should be visited before node1\nnode 8 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node3\nnode 10 should be visited before node5\nnode 10 should be visited before node4\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node7\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node7\nnode 12 should be visited before node6\nnode 12 should be visited before node4\nnode 12 should be visited before node3\nnode 12 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,10,2,12,5,6,4,11,3,8,7,0,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph971",
        "image": "data/topology/graph_visual/medium/graph971.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node9\nnode 0 should be visited before node16\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node18\nnode 0 should be visited before node17\nnode 0 should be visited before node20\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node11\nnode 1 should be visited before node19\nnode 1 should be visited before node16\nnode 1 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 1 should be visited before node20\nnode 1 should be visited before node13\nnode 1 should be visited before node8\nnode 1 should be visited before node15\nnode 2 should be visited before node8\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 3 should be visited before node17\nnode 3 should be visited before node20\nnode 3 should be visited before node13\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node15\nnode 4 should be visited before node17\nnode 4 should be visited before node20\nnode 4 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node8\nnode 4 should be visited before node15\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 5 should be visited before node19\nnode 5 should be visited before node16\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 5 should be visited before node17\nnode 5 should be visited before node20\nnode 5 should be visited before node7\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 6 should be visited before node3\nnode 6 should be visited before node18\nnode 6 should be visited before node17\nnode 6 should be visited before node13\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node15\nnode 7 should be visited before node15\nnode 9 should be visited before node19\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node4\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node20\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node18\nnode 10 should be visited before node17\nnode 10 should be visited before node20\nnode 10 should be visited before node13\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node15\nnode 11 should be visited before node6\nnode 11 should be visited before node3\nnode 11 should be visited before node18\nnode 11 should be visited before node17\nnode 11 should be visited before node20\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node11\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 12 should be visited before node18\nnode 12 should be visited before node17\nnode 12 should be visited before node2\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node15\nnode 13 should be visited before node7\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 14 should be visited before node9\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node6\nnode 14 should be visited before node4\nnode 14 should be visited before node18\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node15\nnode 16 should be visited before node3\nnode 16 should be visited before node4\nnode 16 should be visited before node18\nnode 16 should be visited before node17\nnode 16 should be visited before node20\nnode 16 should be visited before node13\nnode 16 should be visited before node8\nnode 17 should be visited before node20\nnode 17 should be visited before node13\nnode 17 should be visited before node7\nnode 17 should be visited before node8\nnode 17 should be visited before node15\nnode 18 should be visited before node20\nnode 18 should be visited before node13\nnode 18 should be visited before node2\nnode 18 should be visited before node7\nnode 18 should be visited before node8\nnode 18 should be visited before node15\nnode 19 should be visited before node16\nnode 19 should be visited before node10\nnode 19 should be visited before node6\nnode 19 should be visited before node20\nnode 19 should be visited before node13\nnode 19 should be visited before node2\nnode 19 should be visited before node8\nnode 20 should be visited before node13\nnode 20 should be visited before node2\nnode 20 should be visited before node7\nnode 20 should be visited before node8\nnode 20 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,14,12,5,0,11,9,19,16,10,6,3,4,18,17,20,13,2,7,8,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph139",
        "image": "data/topology/graph_visual/medium/graph139.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node3\nnode 0 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 2 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 4 should be visited before node10\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 7 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 10 should be visited before node5\nnode 11 should be visited before node6\nnode 11 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,9,7,0,2,3,8,4,11,6,10,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph1040",
        "image": "data/topology/graph_visual/medium/graph1040.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node12\nnode 0 should be visited before node14\nnode 0 should be visited before node20\nnode 0 should be visited before node13\nnode 0 should be visited before node19\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 0 should be visited before node5\nnode 0 should be visited before node17\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 0 should be visited before node16\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node17\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node2\nnode 1 should be visited before node11\nnode 1 should be visited before node15\nnode 1 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node8\nnode 3 should be visited before node2\nnode 3 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node8\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node16\nnode 4 should be visited before node2\nnode 4 should be visited before node11\nnode 5 should be visited before node17\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node17\nnode 6 should be visited before node10\nnode 6 should be visited before node16\nnode 6 should be visited before node2\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 9 should be visited before node8\nnode 10 should be visited before node16\nnode 10 should be visited before node2\nnode 10 should be visited before node8\nnode 11 should be visited before node9\nnode 12 should be visited before node20\nnode 12 should be visited before node6\nnode 12 should be visited before node17\nnode 12 should be visited before node3\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node15\nnode 12 should be visited before node8\nnode 13 should be visited before node1\nnode 13 should be visited before node6\nnode 13 should be visited before node4\nnode 13 should be visited before node5\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 14 should be visited before node18\nnode 14 should be visited before node20\nnode 14 should be visited before node13\nnode 14 should be visited before node1\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node17\nnode 14 should be visited before node7\nnode 14 should be visited before node3\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node15\nnode 14 should be visited before node8\nnode 15 should be visited before node9\nnode 15 should be visited before node8\nnode 16 should be visited before node2\nnode 16 should be visited before node11\nnode 16 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node11\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 18 should be visited before node13\nnode 18 should be visited before node1\nnode 18 should be visited before node6\nnode 18 should be visited before node4\nnode 18 should be visited before node7\nnode 18 should be visited before node10\nnode 19 should be visited before node1\nnode 19 should be visited before node7\nnode 19 should be visited before node16\nnode 19 should be visited before node2\nnode 19 should be visited before node11\nnode 20 should be visited before node13\nnode 20 should be visited before node4\nnode 20 should be visited before node7\nnode 20 should be visited before node16\nnode 20 should be visited before node9\nnode 21 should be visited before node0\nnode 21 should be visited before node14\nnode 21 should be visited before node18\nnode 21 should be visited before node4\nnode 21 should be visited before node7\nnode 21 should be visited before node10\nnode 21 should be visited before node3\nnode 21 should be visited before node16\nnode 21 should be visited before node2\nnode 21 should be visited before node9\nnode 21 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,0,12,14,19,18,20,13,1,6,4,5,7,17,10,3,16,2,11,15,9,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph1099",
        "image": "data/topology/graph_visual/medium/graph1099.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 1 should be visited before node22\nnode 1 should be visited before node0\nnode 2 should be visited before node17\nnode 2 should be visited before node14\nnode 2 should be visited before node0\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node22\nnode 3 should be visited before node19\nnode 4 should be visited before node12\nnode 4 should be visited before node7\nnode 4 should be visited before node17\nnode 4 should be visited before node9\nnode 4 should be visited before node19\nnode 5 should be visited before node2\nnode 5 should be visited before node14\nnode 5 should be visited before node18\nnode 5 should be visited before node22\nnode 6 should be visited before node10\nnode 6 should be visited before node22\nnode 6 should be visited before node19\nnode 7 should be visited before node6\nnode 8 should be visited before node22\nnode 8 should be visited before node19\nnode 8 should be visited before node0\nnode 9 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node19\nnode 11 should be visited before node5\nnode 11 should be visited before node20\nnode 11 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node22\nnode 12 should be visited before node7\nnode 12 should be visited before node3\nnode 12 should be visited before node10\nnode 12 should be visited before node9\nnode 12 should be visited before node1\nnode 12 should be visited before node0\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node2\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 14 should be visited before node18\nnode 14 should be visited before node19\nnode 15 should be visited before node6\nnode 15 should be visited before node9\nnode 15 should be visited before node1\nnode 16 should be visited before node2\nnode 16 should be visited before node20\nnode 16 should be visited before node15\nnode 16 should be visited before node6\nnode 16 should be visited before node9\nnode 16 should be visited before node18\nnode 16 should be visited before node22\nnode 17 should be visited before node15\nnode 17 should be visited before node14\nnode 17 should be visited before node1\nnode 17 should be visited before node0\nnode 19 should be visited before node0\nnode 20 should be visited before node6\nnode 20 should be visited before node18\nnode 20 should be visited before node19\nnode 21 should be visited before node16\nnode 21 should be visited before node5\nnode 21 should be visited before node20\nnode 21 should be visited before node0\nnode 22 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,13,21,12,11,16,7,3,5,20,8,2,17,15,14,6,18,10,9,1,22,19,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph805",
        "image": "data/topology/graph_visual/medium/graph805.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node3\nnode 1 should be visited before node14\nnode 1 should be visited before node18\nnode 1 should be visited before node17\nnode 1 should be visited before node13\nnode 1 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 3 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node18\nnode 5 should be visited before node17\nnode 5 should be visited before node10\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node18\nnode 8 should be visited before node17\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node15\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 9 should be visited before node4\nnode 10 should be visited before node6\nnode 10 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 11 should be visited before node8\nnode 11 should be visited before node12\nnode 11 should be visited before node17\nnode 11 should be visited before node7\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node6\nnode 11 should be visited before node15\nnode 11 should be visited before node0\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 12 should be visited before node18\nnode 12 should be visited before node13\nnode 12 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node0\nnode 12 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node6\nnode 13 should be visited before node2\nnode 13 should be visited before node0\nnode 13 should be visited before node3\nnode 13 should be visited before node4\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 14 should be visited before node7\nnode 14 should be visited before node9\nnode 14 should be visited before node6\nnode 14 should be visited before node15\nnode 14 should be visited before node2\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 14 should be visited before node4\nnode 15 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node4\nnode 16 should be visited before node11\nnode 16 should be visited before node8\nnode 16 should be visited before node5\nnode 16 should be visited before node14\nnode 16 should be visited before node17\nnode 16 should be visited before node13\nnode 16 should be visited before node7\nnode 16 should be visited before node6\nnode 16 should be visited before node15\nnode 16 should be visited before node2\nnode 16 should be visited before node0\nnode 16 should be visited before node3\nnode 16 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node0\nnode 18 should be visited before node17\nnode 18 should be visited before node13\nnode 18 should be visited before node9\nnode 18 should be visited before node6\nnode 18 should be visited before node15\nnode 18 should be visited before node2\nnode 18 should be visited before node0\nnode 18 should be visited before node3\nnode 18 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,11,8,5,12,1,14,18,17,13,7,9,10,6,15,2,0,3,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph152",
        "image": "data/topology/graph_visual/medium/graph152.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node8\nnode 3 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node8\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node9\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node9\nnode 7 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 11 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,5,4,3,2,1,10,7,8,6,11,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph232",
        "image": "data/topology/graph_visual/medium/graph232.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node9\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node8\nnode 0 should be visited before node3\nnode 0 should be visited before node10\nnode 0 should be visited before node12\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node12\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 4 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node10\nnode 7 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 10 should be visited before node12\nnode 11 should be visited before node7\nnode 11 should be visited before node5\nnode 11 should be visited before node8\nnode 11 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,9,6,11,4,7,1,5,3,8,10,2,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph561",
        "image": "data/topology/graph_visual/medium/graph561.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node6\nnode 1 should be visited before node9\nnode 1 should be visited before node16\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 1 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 4 should be visited before node16\nnode 4 should be visited before node13\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 8 should be visited before node7\nnode 9 should be visited before node7\nnode 10 should be visited before node2\nnode 11 should be visited before node16\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node0\nnode 12 should be visited before node15\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 14 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node2\nnode 15 should be visited before node5\nnode 15 should be visited before node7\nnode 16 should be visited before node13\nnode 16 should be visited before node10\nnode 16 should be visited before node5\nnode 16 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,4,8,11,12,14,16,9,15,0,13,5,6,10,7,3,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph828",
        "image": "data/topology/graph_visual/medium/graph828.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 0 should be visited before node15\nnode 1 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node7\nnode 2 should be visited before node3\nnode 2 should be visited before node4\nnode 3 should be visited before node6\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 4 should be visited before node10\nnode 4 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 5 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 6 should be visited before node12\nnode 7 should be visited before node3\nnode 7 should be visited before node12\nnode 7 should be visited before node1\nnode 7 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node14\nnode 8 should be visited before node15\nnode 9 should be visited before node19\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 10 should be visited before node15\nnode 11 should be visited before node14\nnode 14 should be visited before node12\nnode 16 should be visited before node19\nnode 16 should be visited before node8\nnode 16 should be visited before node11\nnode 16 should be visited before node14\nnode 16 should be visited before node12\nnode 16 should be visited before node1\nnode 16 should be visited before node13\nnode 16 should be visited before node15\nnode 17 should be visited before node5\nnode 17 should be visited before node6\nnode 17 should be visited before node15\nnode 18 should be visited before node6\nnode 18 should be visited before node14\nnode 18 should be visited before node12\nnode 18 should be visited before node15\nnode 19 should be visited before node5\nnode 19 should be visited before node3\nnode 19 should be visited before node12\nnode 19 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,9,16,18,17,4,19,8,11,5,7,0,3,1,14,6,10,13,12,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph1345",
        "image": "data/topology/graph_visual/medium/graph1345.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node20\nnode 0 should be visited before node7\nnode 1 should be visited before node23\nnode 1 should be visited before node0\nnode 1 should be visited before node20\nnode 1 should be visited before node7\nnode 1 should be visited before node9\nnode 2 should be visited before node13\nnode 2 should be visited before node22\nnode 2 should be visited before node15\nnode 2 should be visited before node23\nnode 2 should be visited before node18\nnode 2 should be visited before node0\nnode 2 should be visited before node20\nnode 2 should be visited before node9\nnode 3 should be visited before node8\nnode 3 should be visited before node19\nnode 3 should be visited before node11\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 3 should be visited before node22\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 3 should be visited before node20\nnode 3 should be visited before node7\nnode 3 should be visited before node9\nnode 4 should be visited before node13\nnode 4 should be visited before node22\nnode 4 should be visited before node15\nnode 4 should be visited before node23\nnode 4 should be visited before node18\nnode 4 should be visited before node0\nnode 4 should be visited before node20\nnode 4 should be visited before node9\nnode 5 should be visited before node23\nnode 5 should be visited before node18\nnode 5 should be visited before node0\nnode 5 should be visited before node20\nnode 5 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node22\nnode 6 should be visited before node15\nnode 6 should be visited before node1\nnode 6 should be visited before node23\nnode 6 should be visited before node18\nnode 6 should be visited before node0\nnode 6 should be visited before node20\nnode 6 should be visited before node7\nnode 7 should be visited before node9\nnode 8 should be visited before node19\nnode 8 should be visited before node11\nnode 8 should be visited before node12\nnode 8 should be visited before node6\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node13\nnode 8 should be visited before node22\nnode 8 should be visited before node23\nnode 8 should be visited before node20\nnode 8 should be visited before node7\nnode 8 should be visited before node9\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node15\nnode 10 should be visited before node23\nnode 10 should be visited before node18\nnode 10 should be visited before node0\nnode 10 should be visited before node20\nnode 10 should be visited before node9\nnode 11 should be visited before node17\nnode 11 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 11 should be visited before node22\nnode 11 should be visited before node15\nnode 11 should be visited before node5\nnode 11 should be visited before node23\nnode 11 should be visited before node18\nnode 11 should be visited before node0\nnode 11 should be visited before node20\nnode 11 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node22\nnode 12 should be visited before node15\nnode 12 should be visited before node1\nnode 12 should be visited before node23\nnode 12 should be visited before node0\nnode 12 should be visited before node20\nnode 12 should be visited before node7\nnode 13 should be visited before node15\nnode 13 should be visited before node1\nnode 13 should be visited before node5\nnode 13 should be visited before node23\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 13 should be visited before node20\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 14 should be visited before node24\nnode 14 should be visited before node3\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 14 should be visited before node17\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 14 should be visited before node10\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node9\nnode 15 should be visited before node1\nnode 15 should be visited before node23\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node9\nnode 16 should be visited before node14\nnode 16 should be visited before node24\nnode 16 should be visited before node19\nnode 16 should be visited before node11\nnode 16 should be visited before node17\nnode 16 should be visited before node12\nnode 16 should be visited before node10\nnode 16 should be visited before node2\nnode 16 should be visited before node4\nnode 16 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node1\nnode 16 should be visited before node5\nnode 16 should be visited before node23\nnode 16 should be visited before node0\nnode 16 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node15\nnode 17 should be visited before node1\nnode 17 should be visited before node5\nnode 17 should be visited before node23\nnode 17 should be visited before node0\nnode 17 should be visited before node20\nnode 17 should be visited before node7\nnode 18 should be visited before node0\nnode 18 should be visited before node20\nnode 18 should be visited before node7\nnode 19 should be visited before node11\nnode 19 should be visited before node17\nnode 19 should be visited before node12\nnode 19 should be visited before node10\nnode 19 should be visited before node2\nnode 19 should be visited before node4\nnode 19 should be visited before node13\nnode 19 should be visited before node22\nnode 19 should be visited before node15\nnode 19 should be visited before node5\nnode 19 should be visited before node18\nnode 19 should be visited before node20\nnode 19 should be visited before node7\nnode 20 should be visited before node7\nnode 20 should be visited before node9\nnode 21 should be visited before node16\nnode 21 should be visited before node24\nnode 21 should be visited before node3\nnode 21 should be visited before node8\nnode 21 should be visited before node17\nnode 21 should be visited before node6\nnode 21 should be visited before node10\nnode 21 should be visited before node2\nnode 21 should be visited before node22\nnode 21 should be visited before node15\nnode 21 should be visited before node5\nnode 21 should be visited before node23\nnode 21 should be visited before node18\nnode 21 should be visited before node0\nnode 21 should be visited before node7\nnode 21 should be visited before node9\nnode 22 should be visited before node15\nnode 22 should be visited before node1\nnode 22 should be visited before node18\nnode 22 should be visited before node0\nnode 22 should be visited before node20\nnode 22 should be visited before node9\nnode 23 should be visited before node18\nnode 23 should be visited before node0\nnode 23 should be visited before node20\nnode 23 should be visited before node7\nnode 23 should be visited before node9\nnode 24 should be visited before node19\nnode 24 should be visited before node12\nnode 24 should be visited before node6\nnode 24 should be visited before node2\nnode 24 should be visited before node4\nnode 24 should be visited before node13\nnode 24 should be visited before node22\nnode 24 should be visited before node15\nnode 24 should be visited before node18\nnode 24 should be visited before node0\nnode 24 should be visited before node20\nnode 24 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,16,14,24,3,8,19,11,12,17,6,10,2,4,13,22,5,15,1,23,18,0,20,7,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph1077",
        "image": "data/topology/graph_visual/medium/graph1077.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node20\nnode 0 should be visited before node1\nnode 0 should be visited before node21\nnode 0 should be visited before node14\nnode 1 should be visited before node21\nnode 1 should be visited before node18\nnode 2 should be visited before node6\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node19\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node21\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 2 should be visited before node7\nnode 2 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node21\nnode 4 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 5 should be visited before node10\nnode 5 should be visited before node4\nnode 5 should be visited before node8\nnode 5 should be visited before node0\nnode 5 should be visited before node20\nnode 5 should be visited before node1\nnode 5 should be visited before node21\nnode 5 should be visited before node18\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node19\nnode 6 should be visited before node5\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node1\nnode 6 should be visited before node21\nnode 6 should be visited before node18\nnode 6 should be visited before node14\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 7 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node20\nnode 8 should be visited before node1\nnode 8 should be visited before node18\nnode 8 should be visited before node3\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node12\nnode 9 should be visited before node19\nnode 9 should be visited before node10\nnode 9 should be visited before node8\nnode 9 should be visited before node18\nnode 9 should be visited before node14\nnode 9 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node0\nnode 10 should be visited before node20\nnode 10 should be visited before node1\nnode 10 should be visited before node21\nnode 10 should be visited before node18\nnode 10 should be visited before node14\nnode 10 should be visited before node7\nnode 10 should be visited before node3\nnode 11 should be visited before node15\nnode 11 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node13\nnode 11 should be visited before node17\nnode 11 should be visited before node12\nnode 11 should be visited before node19\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node20\nnode 11 should be visited before node1\nnode 11 should be visited before node21\nnode 11 should be visited before node18\nnode 11 should be visited before node7\nnode 11 should be visited before node3\nnode 12 should be visited before node19\nnode 12 should be visited before node4\nnode 12 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node20\nnode 12 should be visited before node1\nnode 12 should be visited before node21\nnode 12 should be visited before node18\nnode 12 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node12\nnode 13 should be visited before node19\nnode 13 should be visited before node5\nnode 13 should be visited before node8\nnode 13 should be visited before node0\nnode 13 should be visited before node20\nnode 13 should be visited before node1\nnode 13 should be visited before node21\nnode 13 should be visited before node14\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 14 should be visited before node7\nnode 14 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node6\nnode 15 should be visited before node12\nnode 15 should be visited before node19\nnode 15 should be visited before node10\nnode 15 should be visited before node8\nnode 15 should be visited before node0\nnode 15 should be visited before node20\nnode 15 should be visited before node1\nnode 15 should be visited before node21\nnode 15 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 15 should be visited before node3\nnode 16 should be visited before node9\nnode 16 should be visited before node11\nnode 16 should be visited before node2\nnode 16 should be visited before node13\nnode 16 should be visited before node17\nnode 16 should be visited before node10\nnode 16 should be visited before node4\nnode 16 should be visited before node8\nnode 16 should be visited before node0\nnode 16 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node21\nnode 16 should be visited before node18\nnode 16 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node5\nnode 17 should be visited before node10\nnode 17 should be visited before node8\nnode 17 should be visited before node20\nnode 17 should be visited before node18\nnode 17 should be visited before node14\nnode 17 should be visited before node3\nnode 18 should be visited before node3\nnode 19 should be visited before node5\nnode 19 should be visited before node4\nnode 19 should be visited before node8\nnode 19 should be visited before node0\nnode 19 should be visited before node20\nnode 19 should be visited before node1\nnode 19 should be visited before node21\nnode 19 should be visited before node18\nnode 19 should be visited before node7\nnode 19 should be visited before node3\nnode 20 should be visited before node1\nnode 20 should be visited before node18\nnode 20 should be visited before node7\nnode 20 should be visited before node3\nnode 21 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,9,11,15,2,6,13,17,12,19,5,10,8,4,0,20,14,1,7,21,18,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph48",
        "image": "data/topology/graph_visual/medium/graph48.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node0\nnode 1 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node10\nnode 4 should be visited before node6\nnode 4 should be visited before node5\nnode 6 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node10\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 8 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 10 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,2,1,7,4,8,3,10,0,6,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph544",
        "image": "data/topology/graph_visual/medium/graph544.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node5\nnode 1 should be visited before node6\nnode 2 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 5 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 8 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node15\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 10 should be visited before node1\nnode 11 should be visited before node16\nnode 11 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 14 should be visited before node3\nnode 14 should be visited before node12\nnode 14 should be visited before node13\nnode 14 should be visited before node10\nnode 15 should be visited before node1\nnode 16 should be visited before node15\nnode 16 should be visited before node12\nnode 16 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,9,11,14,0,16,3,13,15,2,4,8,12,5,10,1,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1182",
        "image": "data/topology/graph_visual/medium/graph1182.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node3\nnode 0 should be visited before node13\nnode 1 should be visited before node16\nnode 3 should be visited before node19\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 3 should be visited before node2\nnode 3 should be visited before node21\nnode 5 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node17\nnode 5 should be visited before node0\nnode 5 should be visited before node16\nnode 5 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node15\nnode 6 should be visited before node11\nnode 6 should be visited before node3\nnode 6 should be visited before node10\nnode 7 should be visited before node18\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node19\nnode 8 should be visited before node15\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node21\nnode 8 should be visited before node4\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node21\nnode 12 should be visited before node3\nnode 12 should be visited before node19\nnode 12 should be visited before node13\nnode 12 should be visited before node16\nnode 12 should be visited before node21\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 15 should be visited before node14\nnode 15 should be visited before node12\nnode 15 should be visited before node17\nnode 15 should be visited before node11\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 16 should be visited before node2\nnode 16 should be visited before node4\nnode 17 should be visited before node0\nnode 17 should be visited before node19\nnode 17 should be visited before node13\nnode 17 should be visited before node2\nnode 17 should be visited before node4\nnode 18 should be visited before node0\nnode 19 should be visited before node4\nnode 20 should be visited before node18\nnode 20 should be visited before node17\nnode 20 should be visited before node11\nnode 20 should be visited before node1\nnode 20 should be visited before node21\nnode 21 should be visited before node4\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 22 should be visited before node11\nnode 22 should be visited before node0\nnode 22 should be visited before node3\nnode 22 should be visited before node19\nnode 22 should be visited before node10\nnode 22 should be visited before node13\nnode 23 should be visited before node5\nnode 23 should be visited before node0\nnode 23 should be visited before node3\nnode 23 should be visited before node2\nnode 23 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,7,20,22,8,18,23,10,15,5,12,11,14,9,17,1,0,3,19,13,16,21,2,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph1057",
        "image": "data/topology/graph_visual/medium/graph1057.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node20\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node0\nnode 1 should be visited before node20\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 2 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node20\nnode 3 should be visited before node7\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 5 should be visited before node18\nnode 5 should be visited before node19\nnode 5 should be visited before node13\nnode 5 should be visited before node6\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node10\nnode 5 should be visited before node20\nnode 5 should be visited before node4\nnode 6 should be visited before node8\nnode 6 should be visited before node17\nnode 6 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 8 should be visited before node17\nnode 8 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node3\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node20\nnode 8 should be visited before node2\nnode 8 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node17\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 9 should be visited before node3\nnode 9 should be visited before node10\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 10 should be visited before node20\nnode 10 should be visited before node4\nnode 10 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 12 should be visited before node14\nnode 12 should be visited before node18\nnode 12 should be visited before node19\nnode 12 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 12 should be visited before node8\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node1\nnode 12 should be visited before node3\nnode 12 should be visited before node10\nnode 12 should be visited before node0\nnode 12 should be visited before node4\nnode 12 should be visited before node2\nnode 12 should be visited before node7\nnode 13 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node17\nnode 13 should be visited before node11\nnode 13 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node0\nnode 13 should be visited before node20\nnode 13 should be visited before node4\nnode 13 should be visited before node2\nnode 14 should be visited before node16\nnode 14 should be visited before node18\nnode 14 should be visited before node19\nnode 14 should be visited before node9\nnode 14 should be visited before node6\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node3\nnode 14 should be visited before node10\nnode 14 should be visited before node20\nnode 14 should be visited before node2\nnode 14 should be visited before node7\nnode 15 should be visited before node5\nnode 15 should be visited before node12\nnode 15 should be visited before node14\nnode 15 should be visited before node16\nnode 15 should be visited before node18\nnode 15 should be visited before node19\nnode 15 should be visited before node13\nnode 15 should be visited before node8\nnode 15 should be visited before node17\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node10\nnode 15 should be visited before node20\nnode 15 should be visited before node4\nnode 15 should be visited before node7\nnode 16 should be visited before node18\nnode 16 should be visited before node19\nnode 16 should be visited before node9\nnode 16 should be visited before node6\nnode 16 should be visited before node17\nnode 16 should be visited before node1\nnode 16 should be visited before node10\nnode 16 should be visited before node0\nnode 16 should be visited before node20\nnode 16 should be visited before node4\nnode 16 should be visited before node2\nnode 16 should be visited before node7\nnode 17 should be visited before node11\nnode 17 should be visited before node1\nnode 17 should be visited before node0\nnode 17 should be visited before node20\nnode 17 should be visited before node2\nnode 17 should be visited before node7\nnode 18 should be visited before node13\nnode 18 should be visited before node9\nnode 18 should be visited before node17\nnode 18 should be visited before node10\nnode 18 should be visited before node0\nnode 18 should be visited before node20\nnode 18 should be visited before node4\nnode 18 should be visited before node2\nnode 18 should be visited before node7\nnode 19 should be visited before node9\nnode 19 should be visited before node6\nnode 19 should be visited before node8\nnode 19 should be visited before node17\nnode 19 should be visited before node1\nnode 19 should be visited before node3\nnode 19 should be visited before node10\nnode 19 should be visited before node20\nnode 19 should be visited before node4\nnode 19 should be visited before node2\nnode 19 should be visited before node7\nnode 20 should be visited before node2\nnode 20 should be visited before node7\nnode 21 should be visited before node15\nnode 21 should be visited before node5\nnode 21 should be visited before node12\nnode 21 should be visited before node14\nnode 21 should be visited before node18\nnode 21 should be visited before node19\nnode 21 should be visited before node13\nnode 21 should be visited before node9\nnode 21 should be visited before node6\nnode 21 should be visited before node11\nnode 21 should be visited before node1\nnode 21 should be visited before node3\nnode 21 should be visited before node0\nnode 21 should be visited before node4\nnode 21 should be visited before node2\nnode 21 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,15,5,12,14,16,18,19,13,9,6,8,17,11,1,3,10,0,20,4,2,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph649",
        "image": "data/topology/graph_visual/medium/graph649.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node7\nnode 0 should be visited before node17\nnode 0 should be visited before node12\nnode 0 should be visited before node14\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node17\nnode 5 should be visited before node8\nnode 5 should be visited before node10\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 5 should be visited before node17\nnode 5 should be visited before node15\nnode 6 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node11\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node4\nnode 8 should be visited before node15\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 11 should be visited before node12\nnode 11 should be visited before node15\nnode 11 should be visited before node1\nnode 12 should be visited before node14\nnode 12 should be visited before node15\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node5\nnode 13 should be visited before node10\nnode 13 should be visited before node14\nnode 14 should be visited before node15\nnode 14 should be visited before node1\nnode 16 should be visited before node13\nnode 16 should be visited before node0\nnode 16 should be visited before node5\nnode 16 should be visited before node12\nnode 16 should be visited before node4\nnode 16 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,16,9,13,0,3,5,7,8,6,10,11,17,4,12,14,15,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph1267",
        "image": "data/topology/graph_visual/medium/graph1267.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node16\nnode 0 should be visited before node1\nnode 0 should be visited before node18\nnode 0 should be visited before node9\nnode 1 should be visited before node23\nnode 2 should be visited before node0\nnode 2 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node15\nnode 4 should be visited before node22\nnode 4 should be visited before node0\nnode 4 should be visited before node10\nnode 4 should be visited before node18\nnode 4 should be visited before node23\nnode 4 should be visited before node7\nnode 4 should be visited before node15\nnode 5 should be visited before node22\nnode 5 should be visited before node11\nnode 5 should be visited before node17\nnode 5 should be visited before node6\nnode 5 should be visited before node8\nnode 5 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node21\nnode 6 should be visited before node16\nnode 6 should be visited before node18\nnode 7 should be visited before node15\nnode 7 should be visited before node9\nnode 8 should be visited before node16\nnode 10 should be visited before node12\nnode 10 should be visited before node18\nnode 10 should be visited before node15\nnode 11 should be visited before node3\nnode 11 should be visited before node0\nnode 11 should be visited before node21\nnode 11 should be visited before node18\nnode 12 should be visited before node1\nnode 13 should be visited before node0\nnode 13 should be visited before node12\nnode 14 should be visited before node6\nnode 14 should be visited before node10\nnode 14 should be visited before node15\nnode 16 should be visited before node1\nnode 16 should be visited before node9\nnode 17 should be visited before node15\nnode 19 should be visited before node14\nnode 19 should be visited before node22\nnode 19 should be visited before node0\nnode 19 should be visited before node21\nnode 19 should be visited before node8\nnode 20 should be visited before node5\nnode 20 should be visited before node4\nnode 20 should be visited before node14\nnode 20 should be visited before node6\nnode 20 should be visited before node2\nnode 21 should be visited before node16\nnode 22 should be visited before node2\nnode 22 should be visited before node10\nnode 22 should be visited before node12\nnode 22 should be visited before node16\nnode 23 should be visited before node7\nnode 24 should be visited before node17\nnode 24 should be visited before node6\nnode 24 should be visited before node13\nnode 24 should be visited before node16\nnode 24 should be visited before node18\nnode 24 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,20,24,5,4,14,13,11,17,8,22,6,3,2,21,0,10,16,12,18,1,23,7,15,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph527",
        "image": "data/topology/graph_visual/medium/graph527.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 1 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node7\nnode 2 should be visited before node10\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 4 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node3\nnode 6 should be visited before node8\nnode 6 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node2\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 7 should be visited before node10\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node3\nnode 9 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node4\nnode 11 should be visited before node5\nnode 11 should be visited before node9\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 12 should be visited before node0\nnode 12 should be visited before node4\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node1\nnode 13 should be visited before node14\nnode 13 should be visited before node2\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node1\nnode 14 should be visited before node3\nnode 15 should be visited before node6\nnode 15 should be visited before node8\nnode 15 should be visited before node13\nnode 15 should be visited before node11\nnode 15 should be visited before node7\nnode 15 should be visited before node10\nnode 15 should be visited before node12\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,6,8,13,14,2,11,7,10,12,0,4,5,9,1,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph736",
        "image": "data/topology/graph_visual/medium/graph736.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node3\nnode 0 should be visited before node2\nnode 0 should be visited before node12\nnode 0 should be visited before node7\nnode 1 should be visited before node11\nnode 1 should be visited before node8\nnode 1 should be visited before node15\nnode 2 should be visited before node8\nnode 2 should be visited before node7\nnode 4 should be visited before node8\nnode 4 should be visited before node15\nnode 5 should be visited before node14\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node18\nnode 5 should be visited before node15\nnode 6 should be visited before node11\nnode 6 should be visited before node8\nnode 7 should be visited before node15\nnode 9 should be visited before node7\nnode 9 should be visited before node15\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node18\nnode 10 should be visited before node7\nnode 11 should be visited before node9\nnode 11 should be visited before node18\nnode 12 should be visited before node7\nnode 12 should be visited before node15\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 14 should be visited before node4\nnode 14 should be visited before node6\nnode 14 should be visited before node2\nnode 14 should be visited before node7\nnode 16 should be visited before node0\nnode 16 should be visited before node14\nnode 16 should be visited before node1\nnode 16 should be visited before node12\nnode 16 should be visited before node15\nnode 17 should be visited before node9\nnode 18 should be visited before node12\nnode 18 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,10,16,17,0,14,1,13,4,6,2,3,11,8,9,18,12,7,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph787",
        "image": "data/topology/graph_visual/medium/graph787.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 0 should be visited before node12\nnode 0 should be visited before node14\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 1 should be visited before node13\nnode 1 should be visited before node12\nnode 1 should be visited before node14\nnode 1 should be visited before node10\nnode 1 should be visited before node18\nnode 1 should be visited before node16\nnode 1 should be visited before node11\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 2 should be visited before node10\nnode 2 should be visited before node18\nnode 2 should be visited before node16\nnode 2 should be visited before node11\nnode 2 should be visited before node15\nnode 3 should be visited before node1\nnode 3 should be visited before node12\nnode 3 should be visited before node10\nnode 3 should be visited before node18\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node13\nnode 4 should be visited before node12\nnode 4 should be visited before node10\nnode 4 should be visited before node18\nnode 4 should be visited before node11\nnode 4 should be visited before node15\nnode 5 should be visited before node7\nnode 5 should be visited before node17\nnode 5 should be visited before node8\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node10\nnode 5 should be visited before node16\nnode 5 should be visited before node11\nnode 5 should be visited before node15\nnode 6 should be visited before node4\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node13\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node11\nnode 7 should be visited before node17\nnode 7 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node10\nnode 7 should be visited before node18\nnode 7 should be visited before node16\nnode 7 should be visited before node11\nnode 7 should be visited before node15\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node12\nnode 8 should be visited before node14\nnode 8 should be visited before node10\nnode 8 should be visited before node18\nnode 8 should be visited before node16\nnode 8 should be visited before node11\nnode 8 should be visited before node15\nnode 9 should be visited before node0\nnode 9 should be visited before node17\nnode 9 should be visited before node8\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node12\nnode 9 should be visited before node14\nnode 9 should be visited before node18\nnode 9 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node15\nnode 10 should be visited before node18\nnode 10 should be visited before node16\nnode 10 should be visited before node11\nnode 10 should be visited before node15\nnode 11 should be visited before node15\nnode 12 should be visited before node10\nnode 12 should be visited before node16\nnode 12 should be visited before node15\nnode 13 should be visited before node14\nnode 13 should be visited before node10\nnode 13 should be visited before node18\nnode 13 should be visited before node16\nnode 13 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node18\nnode 14 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node15\nnode 16 should be visited before node11\nnode 16 should be visited before node15\nnode 17 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node4\nnode 17 should be visited before node3\nnode 17 should be visited before node1\nnode 17 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node14\nnode 17 should be visited before node10\nnode 17 should be visited before node18\nnode 17 should be visited before node16\nnode 17 should be visited before node11\nnode 18 should be visited before node16\nnode 18 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,9,5,0,7,17,8,6,4,3,1,13,12,14,10,18,16,11,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph1023",
        "image": "data/topology/graph_visual/medium/graph1023.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node11\nnode 0 should be visited before node12\nnode 0 should be visited before node21\nnode 2 should be visited before node3\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node21\nnode 3 should be visited before node18\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node11\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node21\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node21\nnode 6 should be visited before node9\nnode 6 should be visited before node10\nnode 6 should be visited before node14\nnode 6 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node18\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node21\nnode 7 should be visited before node6\nnode 7 should be visited before node10\nnode 7 should be visited before node8\nnode 7 should be visited before node14\nnode 7 should be visited before node18\nnode 7 should be visited before node0\nnode 7 should be visited before node11\nnode 7 should be visited before node15\nnode 7 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node19\nnode 8 should be visited before node18\nnode 8 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node5\nnode 9 should be visited before node3\nnode 9 should be visited before node19\nnode 9 should be visited before node18\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 10 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node3\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 10 should be visited before node21\nnode 11 should be visited before node21\nnode 13 should be visited before node17\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node0\nnode 13 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 14 should be visited before node3\nnode 14 should be visited before node11\nnode 15 should be visited before node21\nnode 16 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node8\nnode 16 should be visited before node14\nnode 16 should be visited before node3\nnode 16 should be visited before node19\nnode 16 should be visited before node18\nnode 16 should be visited before node0\nnode 16 should be visited before node1\nnode 16 should be visited before node11\nnode 17 should be visited before node2\nnode 17 should be visited before node19\nnode 17 should be visited before node18\nnode 17 should be visited before node0\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 17 should be visited before node12\nnode 17 should be visited before node21\nnode 18 should be visited before node1\nnode 18 should be visited before node11\nnode 18 should be visited before node15\nnode 19 should be visited before node0\nnode 19 should be visited before node1\nnode 19 should be visited before node11\nnode 20 should be visited before node7\nnode 20 should be visited before node10\nnode 20 should be visited before node14\nnode 20 should be visited before node19\nnode 20 should be visited before node18\nnode 20 should be visited before node4\nnode 20 should be visited before node1\nnode 20 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,20,13,7,6,9,10,8,17,14,19,2,5,3,18,4,15,0,1,11,12,21."
            }
        ]
    },
    {
        "id": "topology-medium-graph984",
        "image": "data/topology/graph_visual/medium/graph984.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node13\nnode 0 should be visited before node12\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node20\nnode 1 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node13\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node16\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node5\nnode 2 should be visited before node6\nnode 3 should be visited before node4\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node13\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 4 should be visited before node14\nnode 4 should be visited before node0\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node20\nnode 5 should be visited before node6\nnode 6 should be visited before node20\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 7 should be visited before node20\nnode 8 should be visited before node6\nnode 8 should be visited before node20\nnode 9 should be visited before node18\nnode 9 should be visited before node16\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node13\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node20\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node18\nnode 10 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node6\nnode 11 should be visited before node17\nnode 11 should be visited before node19\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node18\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node14\nnode 11 should be visited before node16\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 11 should be visited before node13\nnode 11 should be visited before node12\nnode 11 should be visited before node6\nnode 11 should be visited before node20\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node20\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node6\nnode 15 should be visited before node2\nnode 15 should be visited before node18\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 15 should be visited before node14\nnode 15 should be visited before node16\nnode 15 should be visited before node7\nnode 15 should be visited before node13\nnode 15 should be visited before node8\nnode 15 should be visited before node20\nnode 16 should be visited before node0\nnode 16 should be visited before node13\nnode 16 should be visited before node12\nnode 16 should be visited before node5\nnode 16 should be visited before node20\nnode 17 should be visited before node10\nnode 17 should be visited before node1\nnode 17 should be visited before node9\nnode 17 should be visited before node4\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node5\nnode 17 should be visited before node6\nnode 18 should be visited before node3\nnode 18 should be visited before node14\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 18 should be visited before node0\nnode 18 should be visited before node13\nnode 18 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node5\nnode 18 should be visited before node6\nnode 18 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node2\nnode 19 should be visited before node9\nnode 19 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node14\nnode 19 should be visited before node16\nnode 19 should be visited before node7\nnode 19 should be visited before node0\nnode 19 should be visited before node13\nnode 19 should be visited before node12\nnode 19 should be visited before node6\nnode 19 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,17,10,19,15,9,2,1,18,3,16,4,14,7,0,13,12,8,5,6,20."
            }
        ]
    },
    {
        "id": "topology-medium-graph1217",
        "image": "data/topology/graph_visual/medium/graph1217.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node7\nnode 0 should be visited before node14\nnode 0 should be visited before node18\nnode 0 should be visited before node21\nnode 0 should be visited before node16\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node18\nnode 1 should be visited before node9\nnode 1 should be visited before node21\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node19\nnode 2 should be visited before node17\nnode 2 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node18\nnode 2 should be visited before node9\nnode 2 should be visited before node8\nnode 3 should be visited before node4\nnode 5 should be visited before node19\nnode 6 should be visited before node7\nnode 6 should be visited before node18\nnode 6 should be visited before node21\nnode 6 should be visited before node3\nnode 6 should be visited before node8\nnode 6 should be visited before node19\nnode 6 should be visited before node16\nnode 7 should be visited before node9\nnode 7 should be visited before node21\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node16\nnode 8 should be visited before node16\nnode 9 should be visited before node21\nnode 9 should be visited before node8\nnode 10 should be visited before node20\nnode 10 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node22\nnode 10 should be visited before node0\nnode 10 should be visited before node14\nnode 10 should be visited before node5\nnode 10 should be visited before node21\nnode 10 should be visited before node3\nnode 11 should be visited before node2\nnode 11 should be visited before node22\nnode 11 should be visited before node1\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node18\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 12 should be visited before node10\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 12 should be visited before node1\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node21\nnode 12 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node4\nnode 12 should be visited before node19\nnode 12 should be visited before node16\nnode 13 should be visited before node17\nnode 13 should be visited before node1\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node9\nnode 13 should be visited before node21\nnode 13 should be visited before node3\nnode 13 should be visited before node4\nnode 13 should be visited before node19\nnode 13 should be visited before node16\nnode 14 should be visited before node18\nnode 14 should be visited before node3\nnode 14 should be visited before node8\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 15 should be visited before node11\nnode 15 should be visited before node12\nnode 15 should be visited before node10\nnode 15 should be visited before node20\nnode 15 should be visited before node2\nnode 15 should be visited before node17\nnode 15 should be visited before node1\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node14\nnode 15 should be visited before node5\nnode 15 should be visited before node18\nnode 15 should be visited before node3\nnode 15 should be visited before node16\nnode 17 should be visited before node1\nnode 17 should be visited before node0\nnode 17 should be visited before node6\nnode 17 should be visited before node5\nnode 17 should be visited before node21\nnode 17 should be visited before node8\nnode 17 should be visited before node4\nnode 18 should be visited before node21\nnode 18 should be visited before node16\nnode 19 should be visited before node16\nnode 20 should be visited before node17\nnode 20 should be visited before node22\nnode 20 should be visited before node14\nnode 20 should be visited before node18\nnode 20 should be visited before node8\nnode 20 should be visited before node4\nnode 20 should be visited before node19\nnode 21 should be visited before node3\nnode 21 should be visited before node8\nnode 21 should be visited before node4\nnode 21 should be visited before node19\nnode 21 should be visited before node16\nnode 22 should be visited before node5\nnode 22 should be visited before node18\nnode 22 should be visited before node9\nnode 22 should be visited before node21\nnode 22 should be visited before node3\nnode 23 should be visited before node20\nnode 23 should be visited before node0\nnode 23 should be visited before node7\nnode 23 should be visited before node5\nnode 23 should be visited before node9\nnode 23 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,15,23,11,12,10,20,2,22,17,1,6,0,5,7,14,9,18,21,3,8,19,4,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph883",
        "image": "data/topology/graph_visual/medium/graph883.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node2\nnode 1 should be visited before node18\nnode 1 should be visited before node7\nnode 1 should be visited before node17\nnode 1 should be visited before node16\nnode 1 should be visited before node14\nnode 1 should be visited before node15\nnode 1 should be visited before node19\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node7\nnode 3 should be visited before node17\nnode 3 should be visited before node11\nnode 3 should be visited before node16\nnode 3 should be visited before node14\nnode 3 should be visited before node15\nnode 4 should be visited before node3\nnode 4 should be visited before node18\nnode 4 should be visited before node17\nnode 4 should be visited before node11\nnode 4 should be visited before node16\nnode 4 should be visited before node14\nnode 4 should be visited before node15\nnode 4 should be visited before node0\nnode 4 should be visited before node19\nnode 4 should be visited before node2\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node17\nnode 5 should be visited before node11\nnode 5 should be visited before node14\nnode 5 should be visited before node2\nnode 6 should be visited before node4\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node17\nnode 6 should be visited before node16\nnode 6 should be visited before node15\nnode 6 should be visited before node0\nnode 6 should be visited before node19\nnode 6 should be visited before node2\nnode 7 should be visited before node17\nnode 7 should be visited before node16\nnode 7 should be visited before node15\nnode 7 should be visited before node19\nnode 7 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node18\nnode 8 should be visited before node7\nnode 8 should be visited before node11\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node15\nnode 8 should be visited before node0\nnode 8 should be visited before node19\nnode 8 should be visited before node2\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node1\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node16\nnode 9 should be visited before node13\nnode 9 should be visited before node0\nnode 9 should be visited before node19\nnode 9 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node7\nnode 10 should be visited before node17\nnode 10 should be visited before node11\nnode 10 should be visited before node13\nnode 10 should be visited before node14\nnode 10 should be visited before node15\nnode 10 should be visited before node19\nnode 10 should be visited before node2\nnode 11 should be visited before node13\nnode 11 should be visited before node14\nnode 11 should be visited before node15\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 12 should be visited before node1\nnode 12 should be visited before node18\nnode 12 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node13\nnode 12 should be visited before node14\nnode 12 should be visited before node15\nnode 12 should be visited before node19\nnode 12 should be visited before node2\nnode 13 should be visited before node14\nnode 13 should be visited before node15\nnode 13 should be visited before node0\nnode 13 should be visited before node19\nnode 13 should be visited before node2\nnode 14 should be visited before node15\nnode 14 should be visited before node19\nnode 14 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node19\nnode 15 should be visited before node2\nnode 16 should be visited before node14\nnode 16 should be visited before node15\nnode 16 should be visited before node0\nnode 16 should be visited before node19\nnode 16 should be visited before node2\nnode 17 should be visited before node16\nnode 17 should be visited before node14\nnode 17 should be visited before node15\nnode 17 should be visited before node0\nnode 17 should be visited before node19\nnode 18 should be visited before node7\nnode 18 should be visited before node11\nnode 18 should be visited before node13\nnode 18 should be visited before node14\nnode 18 should be visited before node0\nnode 18 should be visited before node19\nnode 18 should be visited before node2\nnode 19 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,10,5,6,4,8,3,12,1,18,7,11,17,13,16,14,15,0,19,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph717",
        "image": "data/topology/graph_visual/medium/graph717.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node3\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 0 should be visited before node5\nnode 0 should be visited before node17\nnode 2 should be visited before node13\nnode 2 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node1\nnode 5 should be visited before node1\nnode 5 should be visited before node17\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node10\nnode 6 should be visited before node7\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node4\nnode 9 should be visited before node10\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 9 should be visited before node17\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node17\nnode 11 should be visited before node13\nnode 11 should be visited before node14\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node5\nnode 11 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node2\nnode 12 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 12 should be visited before node8\nnode 12 should be visited before node3\nnode 12 should be visited before node10\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node4\nnode 13 should be visited before node0\nnode 13 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 13 should be visited before node1\nnode 14 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node4\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 14 should be visited before node10\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node17\nnode 15 should be visited before node12\nnode 15 should be visited before node6\nnode 15 should be visited before node4\nnode 15 should be visited before node0\nnode 15 should be visited before node3\nnode 15 should be visited before node7\nnode 16 should be visited before node9\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node0\nnode 16 should be visited before node3\nnode 16 should be visited before node10\nnode 16 should be visited before node5\nnode 16 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,12,11,2,13,14,16,9,6,8,4,0,3,10,7,5,1,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph1021",
        "image": "data/topology/graph_visual/medium/graph1021.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node19\nnode 0 should be visited before node16\nnode 0 should be visited before node8\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node15\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node19\nnode 1 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node19\nnode 2 should be visited before node16\nnode 2 should be visited before node12\nnode 2 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node17\nnode 3 should be visited before node14\nnode 3 should be visited before node21\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node16\nnode 3 should be visited before node8\nnode 4 should be visited before node19\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 5 should be visited before node6\nnode 5 should be visited before node17\nnode 5 should be visited before node14\nnode 5 should be visited before node20\nnode 5 should be visited before node21\nnode 5 should be visited before node15\nnode 5 should be visited before node0\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node19\nnode 5 should be visited before node8\nnode 6 should be visited before node17\nnode 6 should be visited before node15\nnode 6 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node19\nnode 6 should be visited before node16\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 7 should be visited before node18\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 7 should be visited before node17\nnode 7 should be visited before node21\nnode 7 should be visited before node0\nnode 7 should be visited before node13\nnode 7 should be visited before node4\nnode 7 should be visited before node19\nnode 7 should be visited before node16\nnode 9 should be visited before node5\nnode 9 should be visited before node20\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 9 should be visited before node19\nnode 9 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node5\nnode 10 should be visited before node6\nnode 10 should be visited before node17\nnode 10 should be visited before node21\nnode 10 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node19\nnode 10 should be visited before node16\nnode 10 should be visited before node12\nnode 11 should be visited before node17\nnode 11 should be visited before node15\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 11 should be visited before node13\nnode 11 should be visited before node4\nnode 13 should be visited before node12\nnode 14 should be visited before node15\nnode 14 should be visited before node4\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node16\nnode 15 should be visited before node8\nnode 16 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node15\nnode 17 should be visited before node0\nnode 17 should be visited before node19\nnode 17 should be visited before node12\nnode 17 should be visited before node8\nnode 18 should be visited before node10\nnode 18 should be visited before node9\nnode 18 should be visited before node6\nnode 18 should be visited before node17\nnode 18 should be visited before node14\nnode 18 should be visited before node20\nnode 18 should be visited before node21\nnode 18 should be visited before node15\nnode 18 should be visited before node2\nnode 18 should be visited before node0\nnode 18 should be visited before node13\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 18 should be visited before node12\nnode 19 should be visited before node12\nnode 20 should be visited before node21\nnode 20 should be visited before node15\nnode 20 should be visited before node2\nnode 20 should be visited before node0\nnode 20 should be visited before node19\nnode 20 should be visited before node12\nnode 20 should be visited before node8\nnode 21 should be visited before node15\nnode 21 should be visited before node2\nnode 21 should be visited before node13\nnode 21 should be visited before node19\nnode 21 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,7,1,18,10,9,11,5,6,20,17,21,14,13,15,2,4,0,19,16,12,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph651",
        "image": "data/topology/graph_visual/medium/graph651.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node6\nnode 0 should be visited before node15\nnode 0 should be visited before node12\nnode 0 should be visited before node1\nnode 1 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node11\nnode 3 should be visited before node5\nnode 3 should be visited before node16\nnode 3 should be visited before node13\nnode 3 should be visited before node14\nnode 3 should be visited before node11\nnode 4 should be visited before node2\nnode 4 should be visited before node0\nnode 4 should be visited before node13\nnode 4 should be visited before node15\nnode 4 should be visited before node9\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 5 should be visited before node11\nnode 6 should be visited before node14\nnode 7 should be visited before node1\nnode 8 should be visited before node16\nnode 8 should be visited before node14\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 9 should be visited before node1\nnode 10 should be visited before node13\nnode 10 should be visited before node1\nnode 13 should be visited before node14\nnode 13 should be visited before node15\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 13 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node12\nnode 15 should be visited before node7\nnode 16 should be visited before node0\nnode 16 should be visited before node13\nnode 17 should be visited before node3\nnode 17 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node13\nnode 17 should be visited before node14\nnode 17 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,10,17,2,3,8,5,16,0,13,6,15,14,7,9,12,1,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph1252",
        "image": "data/topology/graph_visual/medium/graph1252.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node21\nnode 1 should be visited before node17\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node19\nnode 1 should be visited before node13\nnode 1 should be visited before node22\nnode 1 should be visited before node7\nnode 1 should be visited before node11\nnode 1 should be visited before node4\nnode 1 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node23\nnode 1 should be visited before node0\nnode 1 should be visited before node21\nnode 2 should be visited before node0\nnode 2 should be visited before node21\nnode 3 should be visited before node5\nnode 3 should be visited before node19\nnode 3 should be visited before node12\nnode 3 should be visited before node15\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node22\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node10\nnode 3 should be visited before node6\nnode 3 should be visited before node14\nnode 3 should be visited before node23\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node21\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node14\nnode 4 should be visited before node23\nnode 4 should be visited before node2\nnode 4 should be visited before node0\nnode 4 should be visited before node21\nnode 5 should be visited before node19\nnode 5 should be visited before node15\nnode 5 should be visited before node18\nnode 5 should be visited before node13\nnode 5 should be visited before node16\nnode 5 should be visited before node7\nnode 5 should be visited before node4\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 5 should be visited before node23\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node21\nnode 6 should be visited before node9\nnode 6 should be visited before node14\nnode 6 should be visited before node23\nnode 6 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node4\nnode 7 should be visited before node10\nnode 7 should be visited before node23\nnode 7 should be visited before node0\nnode 7 should be visited before node21\nnode 8 should be visited before node15\nnode 8 should be visited before node18\nnode 8 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node6\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node23\nnode 8 should be visited before node2\nnode 9 should be visited before node14\nnode 9 should be visited before node23\nnode 9 should be visited before node2\nnode 9 should be visited before node21\nnode 10 should be visited before node6\nnode 10 should be visited before node14\nnode 10 should be visited before node23\nnode 10 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 11 should be visited before node23\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 12 should be visited before node8\nnode 12 should be visited before node15\nnode 12 should be visited before node22\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 12 should be visited before node14\nnode 12 should be visited before node23\nnode 12 should be visited before node2\nnode 12 should be visited before node0\nnode 12 should be visited before node21\nnode 13 should be visited before node22\nnode 13 should be visited before node16\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 13 should be visited before node6\nnode 13 should be visited before node23\nnode 13 should be visited before node21\nnode 14 should be visited before node23\nnode 14 should be visited before node21\nnode 15 should be visited before node18\nnode 15 should be visited before node22\nnode 15 should be visited before node16\nnode 15 should be visited before node11\nnode 15 should be visited before node4\nnode 15 should be visited before node10\nnode 15 should be visited before node9\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node21\nnode 16 should be visited before node7\nnode 16 should be visited before node11\nnode 16 should be visited before node4\nnode 16 should be visited before node10\nnode 16 should be visited before node6\nnode 16 should be visited before node9\nnode 16 should be visited before node2\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 17 should be visited before node20\nnode 17 should be visited before node3\nnode 17 should be visited before node5\nnode 17 should be visited before node12\nnode 17 should be visited before node8\nnode 17 should be visited before node15\nnode 17 should be visited before node18\nnode 17 should be visited before node22\nnode 17 should be visited before node7\nnode 17 should be visited before node11\nnode 17 should be visited before node4\nnode 17 should be visited before node9\nnode 17 should be visited before node14\nnode 17 should be visited before node23\nnode 17 should be visited before node21\nnode 18 should be visited before node22\nnode 18 should be visited before node7\nnode 18 should be visited before node11\nnode 18 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node9\nnode 18 should be visited before node14\nnode 18 should be visited before node23\nnode 18 should be visited before node2\nnode 18 should be visited before node0\nnode 19 should be visited before node12\nnode 19 should be visited before node8\nnode 19 should be visited before node15\nnode 19 should be visited before node18\nnode 19 should be visited before node22\nnode 19 should be visited before node16\nnode 19 should be visited before node7\nnode 19 should be visited before node6\nnode 19 should be visited before node14\nnode 19 should be visited before node2\nnode 19 should be visited before node21\nnode 20 should be visited before node3\nnode 20 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node8\nnode 20 should be visited before node15\nnode 20 should be visited before node18\nnode 20 should be visited before node13\nnode 20 should be visited before node22\nnode 20 should be visited before node7\nnode 20 should be visited before node4\nnode 20 should be visited before node10\nnode 20 should be visited before node6\nnode 20 should be visited before node14\nnode 20 should be visited before node23\nnode 20 should be visited before node0\nnode 20 should be visited before node21\nnode 22 should be visited before node7\nnode 22 should be visited before node11\nnode 22 should be visited before node10\nnode 22 should be visited before node6\nnode 22 should be visited before node9\nnode 22 should be visited before node14\nnode 22 should be visited before node23\nnode 22 should be visited before node2\nnode 23 should be visited before node2\nnode 23 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,17,20,3,5,19,12,8,15,13,18,16,22,7,11,4,10,6,9,14,23,2,0,21."
            }
        ]
    },
    {
        "id": "topology-medium-graph1312",
        "image": "data/topology/graph_visual/medium/graph1312.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 0 should be visited before node16\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 1 should be visited before node13\nnode 2 should be visited before node15\nnode 2 should be visited before node5\nnode 2 should be visited before node19\nnode 2 should be visited before node20\nnode 2 should be visited before node9\nnode 2 should be visited before node21\nnode 2 should be visited before node11\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node24\nnode 2 should be visited before node16\nnode 2 should be visited before node1\nnode 3 should be visited before node1\nnode 4 should be visited before node16\nnode 4 should be visited before node1\nnode 5 should be visited before node19\nnode 5 should be visited before node8\nnode 5 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node4\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 6 should be visited before node7\nnode 6 should be visited before node24\nnode 6 should be visited before node1\nnode 7 should be visited before node4\nnode 7 should be visited before node24\nnode 7 should be visited before node16\nnode 8 should be visited before node17\nnode 8 should be visited before node12\nnode 8 should be visited before node9\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node24\nnode 8 should be visited before node16\nnode 8 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 9 should be visited before node24\nnode 9 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node3\nnode 10 should be visited before node24\nnode 11 should be visited before node22\nnode 11 should be visited before node6\nnode 11 should be visited before node7\nnode 11 should be visited before node4\nnode 11 should be visited before node24\nnode 11 should be visited before node1\nnode 11 should be visited before node13\nnode 12 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node23\nnode 12 should be visited before node7\nnode 14 should be visited before node9\nnode 14 should be visited before node21\nnode 14 should be visited before node11\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node3\nnode 15 should be visited before node5\nnode 15 should be visited before node8\nnode 15 should be visited before node20\nnode 15 should be visited before node9\nnode 15 should be visited before node6\nnode 15 should be visited before node7\nnode 15 should be visited before node4\nnode 15 should be visited before node3\nnode 15 should be visited before node16\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 16 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node9\nnode 17 should be visited before node23\nnode 17 should be visited before node22\nnode 17 should be visited before node10\nnode 17 should be visited before node24\nnode 17 should be visited before node16\nnode 17 should be visited before node13\nnode 18 should be visited before node19\nnode 18 should be visited before node20\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node9\nnode 18 should be visited before node22\nnode 18 should be visited before node6\nnode 19 should be visited before node8\nnode 19 should be visited before node20\nnode 19 should be visited before node21\nnode 19 should be visited before node11\nnode 19 should be visited before node0\nnode 19 should be visited before node10\nnode 19 should be visited before node7\nnode 19 should be visited before node4\nnode 19 should be visited before node24\nnode 20 should be visited before node17\nnode 20 should be visited before node12\nnode 20 should be visited before node9\nnode 20 should be visited before node21\nnode 20 should be visited before node11\nnode 20 should be visited before node6\nnode 20 should be visited before node0\nnode 20 should be visited before node10\nnode 20 should be visited before node7\nnode 20 should be visited before node4\nnode 20 should be visited before node16\nnode 20 should be visited before node1\nnode 21 should be visited before node23\nnode 21 should be visited before node22\nnode 21 should be visited before node10\nnode 21 should be visited before node4\nnode 21 should be visited before node24\nnode 21 should be visited before node16\nnode 21 should be visited before node13\nnode 22 should be visited before node10\nnode 22 should be visited before node7\nnode 22 should be visited before node4\nnode 22 should be visited before node3\nnode 22 should be visited before node24\nnode 22 should be visited before node16\nnode 22 should be visited before node13\nnode 23 should be visited before node11\nnode 23 should be visited before node6\nnode 23 should be visited before node0\nnode 23 should be visited before node7\nnode 23 should be visited before node24\nnode 24 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,18,15,5,19,8,20,17,12,14,9,21,23,11,0,22,6,10,7,3,4,24,16,1,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph476",
        "image": "data/topology/graph_visual/medium/graph476.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 1 should be visited before node15\nnode 1 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 3 should be visited before node7\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 6 should be visited before node13\nnode 6 should be visited before node0\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node0\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 12 should be visited before node15\nnode 12 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node8\nnode 14 should be visited before node4\nnode 15 should be visited before node5\nnode 15 should be visited before node3\nnode 15 should be visited before node7\nnode 15 should be visited before node4\nnode 15 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,14,9,12,11,6,15,10,5,3,8,13,4,0,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph1212",
        "image": "data/topology/graph_visual/medium/graph1212.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node22\nnode 0 should be visited before node16\nnode 1 should be visited before node12\nnode 1 should be visited before node9\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 1 should be visited before node2\nnode 1 should be visited before node19\nnode 1 should be visited before node4\nnode 1 should be visited before node11\nnode 1 should be visited before node14\nnode 1 should be visited before node20\nnode 1 should be visited before node6\nnode 1 should be visited before node22\nnode 1 should be visited before node16\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node20\nnode 2 should be visited before node0\nnode 2 should be visited before node22\nnode 2 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node15\nnode 3 should be visited before node12\nnode 3 should be visited before node13\nnode 3 should be visited before node21\nnode 3 should be visited before node8\nnode 3 should be visited before node19\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node14\nnode 3 should be visited before node6\nnode 3 should be visited before node22\nnode 3 should be visited before node7\nnode 3 should be visited before node16\nnode 4 should be visited before node20\nnode 4 should be visited before node6\nnode 4 should be visited before node22\nnode 4 should be visited before node7\nnode 4 should be visited before node16\nnode 5 should be visited before node23\nnode 5 should be visited before node21\nnode 5 should be visited before node8\nnode 5 should be visited before node19\nnode 5 should be visited before node4\nnode 5 should be visited before node11\nnode 5 should be visited before node14\nnode 5 should be visited before node20\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 5 should be visited before node16\nnode 6 should be visited before node7\nnode 6 should be visited before node16\nnode 7 should be visited before node16\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 8 should be visited before node16\nnode 9 should be visited before node5\nnode 9 should be visited before node23\nnode 9 should be visited before node21\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node19\nnode 9 should be visited before node4\nnode 9 should be visited before node14\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node17\nnode 10 should be visited before node8\nnode 10 should be visited before node19\nnode 10 should be visited before node11\nnode 10 should be visited before node14\nnode 10 should be visited before node20\nnode 10 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node16\nnode 11 should be visited before node14\nnode 11 should be visited before node20\nnode 11 should be visited before node7\nnode 11 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node5\nnode 12 should be visited before node8\nnode 12 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node11\nnode 12 should be visited before node14\nnode 12 should be visited before node0\nnode 12 should be visited before node22\nnode 12 should be visited before node16\nnode 13 should be visited before node23\nnode 13 should be visited before node17\nnode 13 should be visited before node21\nnode 13 should be visited before node8\nnode 13 should be visited before node4\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 14 should be visited before node6\nnode 14 should be visited before node7\nnode 14 should be visited before node16\nnode 15 should be visited before node12\nnode 15 should be visited before node5\nnode 15 should be visited before node23\nnode 15 should be visited before node17\nnode 15 should be visited before node21\nnode 15 should be visited before node2\nnode 15 should be visited before node14\nnode 15 should be visited before node6\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 17 should be visited before node21\nnode 17 should be visited before node8\nnode 17 should be visited before node2\nnode 17 should be visited before node19\nnode 17 should be visited before node4\nnode 17 should be visited before node20\nnode 17 should be visited before node6\nnode 17 should be visited before node0\nnode 17 should be visited before node22\nnode 18 should be visited before node3\nnode 18 should be visited before node15\nnode 18 should be visited before node12\nnode 18 should be visited before node13\nnode 18 should be visited before node5\nnode 18 should be visited before node21\nnode 18 should be visited before node8\nnode 18 should be visited before node2\nnode 18 should be visited before node11\nnode 18 should be visited before node20\nnode 18 should be visited before node6\nnode 18 should be visited before node16\nnode 19 should be visited before node4\nnode 19 should be visited before node11\nnode 19 should be visited before node0\nnode 19 should be visited before node22\nnode 20 should be visited before node16\nnode 21 should be visited before node2\nnode 21 should be visited before node16\nnode 22 should be visited before node16\nnode 23 should be visited before node8\nnode 23 should be visited before node2\nnode 23 should be visited before node19\nnode 23 should be visited before node20\nnode 23 should be visited before node0\nnode 23 should be visited before node7\nnode 23 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,18,3,1,15,13,12,17,9,5,23,21,8,19,2,4,11,0,14,20,22,6,7,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph976",
        "image": "data/topology/graph_visual/medium/graph976.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node7\nnode 0 should be visited before node20\nnode 0 should be visited before node3\nnode 0 should be visited before node2\nnode 0 should be visited before node9\nnode 0 should be visited before node10\nnode 0 should be visited before node16\nnode 0 should be visited before node1\nnode 0 should be visited before node18\nnode 0 should be visited before node13\nnode 0 should be visited before node4\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 5 should be visited before node20\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node9\nnode 5 should be visited before node12\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node18\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 6 should be visited before node9\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node13\nnode 6 should be visited before node17\nnode 7 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node16\nnode 7 should be visited before node1\nnode 7 should be visited before node18\nnode 7 should be visited before node13\nnode 7 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node5\nnode 8 should be visited before node20\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node1\nnode 8 should be visited before node18\nnode 8 should be visited before node13\nnode 8 should be visited before node4\nnode 9 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node4\nnode 10 should be visited before node12\nnode 10 should be visited before node1\nnode 10 should be visited before node18\nnode 10 should be visited before node13\nnode 10 should be visited before node17\nnode 10 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node5\nnode 11 should be visited before node20\nnode 11 should be visited before node3\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 11 should be visited before node1\nnode 11 should be visited before node13\nnode 11 should be visited before node17\nnode 11 should be visited before node4\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node13\nnode 12 should be visited before node4\nnode 13 should be visited before node17\nnode 13 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node0\nnode 14 should be visited before node20\nnode 14 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node9\nnode 14 should be visited before node16\nnode 14 should be visited before node1\nnode 14 should be visited before node18\nnode 15 should be visited before node19\nnode 15 should be visited before node11\nnode 15 should be visited before node20\nnode 15 should be visited before node3\nnode 15 should be visited before node6\nnode 15 should be visited before node2\nnode 15 should be visited before node9\nnode 15 should be visited before node10\nnode 15 should be visited before node12\nnode 15 should be visited before node16\nnode 15 should be visited before node1\nnode 15 should be visited before node18\nnode 15 should be visited before node13\nnode 15 should be visited before node17\nnode 16 should be visited before node18\nnode 16 should be visited before node13\nnode 16 should be visited before node17\nnode 16 should be visited before node4\nnode 17 should be visited before node4\nnode 18 should be visited before node4\nnode 19 should be visited before node14\nnode 19 should be visited before node11\nnode 19 should be visited before node7\nnode 19 should be visited before node5\nnode 19 should be visited before node20\nnode 19 should be visited before node3\nnode 19 should be visited before node6\nnode 19 should be visited before node12\nnode 19 should be visited before node16\nnode 19 should be visited before node18\nnode 19 should be visited before node13\nnode 19 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node6\nnode 20 should be visited before node2\nnode 20 should be visited before node9\nnode 20 should be visited before node12\nnode 20 should be visited before node16\nnode 20 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,15,19,14,11,0,5,7,20,3,6,2,9,10,12,16,1,18,13,17,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph203",
        "image": "data/topology/graph_visual/medium/graph203.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node10\nnode 0 should be visited before node9\nnode 0 should be visited before node8\nnode 4 should be visited before node7\nnode 4 should be visited before node9\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 7 should be visited before node9\nnode 7 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 10 should be visited before node8\nnode 10 should be visited before node2\nnode 11 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,11,10,7,2,9,3,6,8,5,1,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph29",
        "image": "data/topology/graph_visual/medium/graph29.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node10\nnode 3 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 5 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node10\nnode 8 should be visited before node3\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 9 should be visited before node5\nnode 10 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,6,8,2,3,4,10,9,1,5,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph267",
        "image": "data/topology/graph_visual/medium/graph267.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node10\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node12\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 2 should be visited before node12\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node7\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node12\nnode 4 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node12\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node7\nnode 6 should be visited before node2\nnode 6 should be visited before node12\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node12\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node12\nnode 11 should be visited before node0\nnode 11 should be visited before node10\nnode 11 should be visited before node6\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node2\nnode 11 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,0,10,6,9,8,3,5,7,1,2,4,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph808",
        "image": "data/topology/graph_visual/medium/graph808.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node10\nnode 0 should be visited before node14\nnode 0 should be visited before node9\nnode 0 should be visited before node16\nnode 0 should be visited before node18\nnode 0 should be visited before node12\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 3 should be visited before node16\nnode 3 should be visited before node12\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node8\nnode 4 should be visited before node15\nnode 4 should be visited before node10\nnode 4 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node16\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node0\nnode 7 should be visited before node10\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node18\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 7 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 8 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 9 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 9 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node9\nnode 10 should be visited before node13\nnode 10 should be visited before node16\nnode 10 should be visited before node18\nnode 10 should be visited before node12\nnode 10 should be visited before node6\nnode 10 should be visited before node17\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 10 should be visited before node2\nnode 10 should be visited before node8\nnode 10 should be visited before node5\nnode 11 should be visited before node5\nnode 12 should be visited before node6\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node2\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node6\nnode 13 should be visited before node17\nnode 13 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node16\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 14 should be visited before node17\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 15 should be visited before node10\nnode 15 should be visited before node14\nnode 15 should be visited before node9\nnode 15 should be visited before node13\nnode 15 should be visited before node16\nnode 15 should be visited before node18\nnode 15 should be visited before node12\nnode 15 should be visited before node6\nnode 15 should be visited before node17\nnode 15 should be visited before node11\nnode 15 should be visited before node1\nnode 15 should be visited before node2\nnode 15 should be visited before node8\nnode 15 should be visited before node5\nnode 16 should be visited before node18\nnode 16 should be visited before node6\nnode 16 should be visited before node17\nnode 16 should be visited before node11\nnode 16 should be visited before node2\nnode 16 should be visited before node8\nnode 16 should be visited before node5\nnode 17 should be visited before node11\nnode 17 should be visited before node2\nnode 17 should be visited before node8\nnode 17 should be visited before node5\nnode 18 should be visited before node12\nnode 18 should be visited before node6\nnode 18 should be visited before node17\nnode 18 should be visited before node1\nnode 18 should be visited before node8\nnode 18 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,4,0,15,10,14,9,13,3,16,18,12,6,17,1,11,2,8,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph1285",
        "image": "data/topology/graph_visual/medium/graph1285.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node23\nnode 0 should be visited before node20\nnode 0 should be visited before node14\nnode 0 should be visited before node6\nnode 0 should be visited before node15\nnode 1 should be visited before node21\nnode 1 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node19\nnode 2 should be visited before node1\nnode 2 should be visited before node21\nnode 2 should be visited before node11\nnode 2 should be visited before node15\nnode 4 should be visited before node5\nnode 4 should be visited before node19\nnode 4 should be visited before node8\nnode 4 should be visited before node10\nnode 4 should be visited before node23\nnode 4 should be visited before node21\nnode 4 should be visited before node20\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 4 should be visited before node6\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 7 should be visited before node21\nnode 7 should be visited before node14\nnode 7 should be visited before node17\nnode 8 should be visited before node3\nnode 9 should be visited before node10\nnode 9 should be visited before node23\nnode 9 should be visited before node20\nnode 9 should be visited before node24\nnode 9 should be visited before node15\nnode 10 should be visited before node20\nnode 10 should be visited before node14\nnode 10 should be visited before node17\nnode 11 should be visited before node15\nnode 12 should be visited before node9\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node21\nnode 12 should be visited before node24\nnode 12 should be visited before node6\nnode 13 should be visited before node16\nnode 13 should be visited before node20\nnode 13 should be visited before node14\nnode 13 should be visited before node3\nnode 14 should be visited before node17\nnode 16 should be visited before node23\nnode 16 should be visited before node20\nnode 16 should be visited before node14\nnode 16 should be visited before node6\nnode 17 should be visited before node15\nnode 18 should be visited before node1\nnode 18 should be visited before node23\nnode 18 should be visited before node21\nnode 18 should be visited before node6\nnode 19 should be visited before node21\nnode 19 should be visited before node14\nnode 19 should be visited before node3\nnode 20 should be visited before node17\nnode 20 should be visited before node15\nnode 21 should be visited before node20\nnode 21 should be visited before node14\nnode 22 should be visited before node2\nnode 22 should be visited before node7\nnode 22 should be visited before node5\nnode 22 should be visited before node16\nnode 22 should be visited before node8\nnode 23 should be visited before node20\nnode 23 should be visited before node11\nnode 23 should be visited before node6\nnode 24 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,12,13,18,22,9,2,5,16,24,7,19,10,0,8,1,23,3,21,11,6,20,14,17,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph1202",
        "image": "data/topology/graph_visual/medium/graph1202.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node18\nnode 0 should be visited before node17\nnode 0 should be visited before node23\nnode 1 should be visited before node18\nnode 2 should be visited before node22\nnode 3 should be visited before node20\nnode 3 should be visited before node12\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node22\nnode 3 should be visited before node23\nnode 4 should be visited before node3\nnode 4 should be visited before node15\nnode 4 should be visited before node20\nnode 4 should be visited before node21\nnode 4 should be visited before node13\nnode 4 should be visited before node16\nnode 4 should be visited before node14\nnode 4 should be visited before node5\nnode 4 should be visited before node10\nnode 4 should be visited before node19\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node18\nnode 4 should be visited before node17\nnode 4 should be visited before node22\nnode 4 should be visited before node23\nnode 5 should be visited before node10\nnode 5 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node18\nnode 5 should be visited before node17\nnode 5 should be visited before node22\nnode 6 should be visited before node1\nnode 6 should be visited before node2\nnode 6 should be visited before node18\nnode 6 should be visited before node23\nnode 7 should be visited before node14\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node10\nnode 7 should be visited before node19\nnode 8 should be visited before node18\nnode 8 should be visited before node22\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node23\nnode 10 should be visited before node8\nnode 10 should be visited before node6\nnode 10 should be visited before node1\nnode 10 should be visited before node2\nnode 10 should be visited before node18\nnode 10 should be visited before node17\nnode 10 should be visited before node22\nnode 11 should be visited before node4\nnode 11 should be visited before node20\nnode 11 should be visited before node13\nnode 11 should be visited before node5\nnode 11 should be visited before node19\nnode 11 should be visited before node2\nnode 11 should be visited before node18\nnode 11 should be visited before node17\nnode 12 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node8\nnode 12 should be visited before node6\nnode 12 should be visited before node1\nnode 12 should be visited before node2\nnode 12 should be visited before node18\nnode 12 should be visited before node22\nnode 12 should be visited before node23\nnode 13 should be visited before node12\nnode 13 should be visited before node7\nnode 13 should be visited before node14\nnode 13 should be visited before node9\nnode 13 should be visited before node5\nnode 13 should be visited before node19\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node22\nnode 13 should be visited before node23\nnode 14 should be visited before node9\nnode 14 should be visited before node19\nnode 14 should be visited before node8\nnode 14 should be visited before node6\nnode 14 should be visited before node2\nnode 14 should be visited before node18\nnode 15 should be visited before node20\nnode 15 should be visited before node13\nnode 15 should be visited before node12\nnode 15 should be visited before node7\nnode 15 should be visited before node16\nnode 15 should be visited before node14\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node2\nnode 16 should be visited before node14\nnode 16 should be visited before node9\nnode 16 should be visited before node10\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 16 should be visited before node1\nnode 16 should be visited before node2\nnode 16 should be visited before node18\nnode 16 should be visited before node23\nnode 17 should be visited before node23\nnode 18 should be visited before node23\nnode 19 should be visited before node8\nnode 19 should be visited before node6\nnode 19 should be visited before node1\nnode 19 should be visited before node2\nnode 19 should be visited before node18\nnode 20 should be visited before node21\nnode 20 should be visited before node13\nnode 20 should be visited before node12\nnode 20 should be visited before node10\nnode 20 should be visited before node8\nnode 20 should be visited before node6\nnode 20 should be visited before node1\nnode 20 should be visited before node2\nnode 20 should be visited before node17\nnode 20 should be visited before node22\nnode 20 should be visited before node23\nnode 21 should be visited before node7\nnode 21 should be visited before node16\nnode 21 should be visited before node5\nnode 21 should be visited before node10\nnode 21 should be visited before node8\nnode 21 should be visited before node6\nnode 21 should be visited before node18\nnode 21 should be visited before node17\nnode 21 should be visited before node22\nnode 21 should be visited before node23\nnode 22 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,4,3,15,20,21,13,12,7,16,0,14,9,19,5,10,8,6,17,1,2,18,22,23."
            }
        ]
    },
    {
        "id": "topology-medium-graph263",
        "image": "data/topology/graph_visual/medium/graph263.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 2 should be visited before node12\nnode 2 should be visited before node3\nnode 2 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 6 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 7 should be visited before node3\nnode 7 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node0\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node5\nnode 10 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node6\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node3\nnode 10 should be visited before node5\nnode 11 should be visited before node7\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node8\nnode 11 should be visited before node2\nnode 11 should be visited before node12\nnode 11 should be visited before node3\nnode 12 should be visited before node3\nnode 12 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,7,9,1,10,0,8,6,4,2,12,3,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph1305",
        "image": "data/topology/graph_visual/medium/graph1305.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node17\nnode 0 should be visited before node9\nnode 0 should be visited before node14\nnode 0 should be visited before node20\nnode 0 should be visited before node24\nnode 0 should be visited before node11\nnode 2 should be visited before node20\nnode 2 should be visited before node24\nnode 2 should be visited before node11\nnode 3 should be visited before node21\nnode 3 should be visited before node17\nnode 3 should be visited before node4\nnode 3 should be visited before node9\nnode 3 should be visited before node22\nnode 3 should be visited before node14\nnode 3 should be visited before node2\nnode 3 should be visited before node20\nnode 3 should be visited before node24\nnode 3 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node22\nnode 4 should be visited before node2\nnode 5 should be visited before node23\nnode 5 should be visited before node18\nnode 5 should be visited before node10\nnode 5 should be visited before node21\nnode 5 should be visited before node17\nnode 5 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node9\nnode 5 should be visited before node14\nnode 5 should be visited before node20\nnode 5 should be visited before node1\nnode 6 should be visited before node23\nnode 6 should be visited before node10\nnode 6 should be visited before node0\nnode 6 should be visited before node21\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node24\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 7 should be visited before node9\nnode 7 should be visited before node2\nnode 7 should be visited before node20\nnode 7 should be visited before node24\nnode 8 should be visited before node17\nnode 8 should be visited before node7\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node20\nnode 9 should be visited before node22\nnode 9 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node20\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 10 should be visited before node17\nnode 10 should be visited before node9\nnode 10 should be visited before node22\nnode 10 should be visited before node2\nnode 10 should be visited before node20\nnode 10 should be visited before node24\nnode 10 should be visited before node11\nnode 11 should be visited before node1\nnode 12 should be visited before node3\nnode 12 should be visited before node13\nnode 12 should be visited before node21\nnode 12 should be visited before node17\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node24\nnode 13 should be visited before node21\nnode 13 should be visited before node8\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 13 should be visited before node14\nnode 13 should be visited before node2\nnode 13 should be visited before node24\nnode 13 should be visited before node11\nnode 14 should be visited before node20\nnode 14 should be visited before node24\nnode 14 should be visited before node1\nnode 15 should be visited before node6\nnode 15 should be visited before node5\nnode 15 should be visited before node0\nnode 15 should be visited before node3\nnode 15 should be visited before node13\nnode 15 should be visited before node21\nnode 15 should be visited before node8\nnode 15 should be visited before node4\nnode 15 should be visited before node9\nnode 15 should be visited before node22\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 15 should be visited before node24\nnode 15 should be visited before node1\nnode 16 should be visited before node15\nnode 16 should be visited before node18\nnode 16 should be visited before node12\nnode 16 should be visited before node10\nnode 16 should be visited before node0\nnode 16 should be visited before node4\nnode 16 should be visited before node9\nnode 16 should be visited before node11\nnode 16 should be visited before node1\nnode 17 should be visited before node4\nnode 17 should be visited before node22\nnode 17 should be visited before node2\nnode 18 should be visited before node10\nnode 18 should be visited before node0\nnode 18 should be visited before node13\nnode 18 should be visited before node4\nnode 18 should be visited before node20\nnode 18 should be visited before node24\nnode 18 should be visited before node1\nnode 19 should be visited before node15\nnode 19 should be visited before node6\nnode 19 should be visited before node5\nnode 19 should be visited before node18\nnode 19 should be visited before node12\nnode 19 should be visited before node0\nnode 19 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node21\nnode 19 should be visited before node17\nnode 19 should be visited before node7\nnode 19 should be visited before node14\nnode 19 should be visited before node20\nnode 19 should be visited before node11\nnode 19 should be visited before node1\nnode 20 should be visited before node24\nnode 20 should be visited before node1\nnode 21 should be visited before node8\nnode 21 should be visited before node9\nnode 21 should be visited before node22\nnode 21 should be visited before node14\nnode 21 should be visited before node24\nnode 21 should be visited before node11\nnode 21 should be visited before node1\nnode 22 should be visited before node14\nnode 22 should be visited before node2\nnode 22 should be visited before node20\nnode 22 should be visited before node11\nnode 23 should be visited before node18\nnode 23 should be visited before node10\nnode 23 should be visited before node3\nnode 23 should be visited before node22\nnode 23 should be visited before node14\nnode 23 should be visited before node24\nnode 23 should be visited before node11\nnode 24 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,19,15,12,6,5,23,18,3,10,0,13,21,8,17,4,7,9,22,14,2,20,24,11,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph993",
        "image": "data/topology/graph_visual/medium/graph993.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 1 should be visited before node16\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 2 should be visited before node9\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 4 should be visited before node15\nnode 5 should be visited before node20\nnode 5 should be visited before node9\nnode 6 should be visited before node17\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node13\nnode 6 should be visited before node4\nnode 6 should be visited before node12\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node20\nnode 6 should be visited before node0\nnode 6 should be visited before node9\nnode 7 should be visited before node2\nnode 8 should be visited before node14\nnode 8 should be visited before node1\nnode 8 should be visited before node16\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 8 should be visited before node12\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 9 should be visited before node15\nnode 11 should be visited before node10\nnode 12 should be visited before node19\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node2\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 14 should be visited before node16\nnode 14 should be visited before node5\nnode 14 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node7\nnode 14 should be visited before node9\nnode 14 should be visited before node15\nnode 15 should be visited before node10\nnode 16 should be visited before node13\nnode 16 should be visited before node12\nnode 16 should be visited before node19\nnode 16 should be visited before node7\nnode 16 should be visited before node11\nnode 16 should be visited before node0\nnode 16 should be visited before node2\nnode 17 should be visited before node1\nnode 17 should be visited before node5\nnode 17 should be visited before node18\nnode 17 should be visited before node13\nnode 17 should be visited before node11\nnode 17 should be visited before node2\nnode 17 should be visited before node9\nnode 17 should be visited before node15\nnode 18 should be visited before node13\nnode 18 should be visited before node4\nnode 18 should be visited before node20\nnode 18 should be visited before node0\nnode 18 should be visited before node9\nnode 18 should be visited before node10\nnode 19 should be visited before node20\nnode 19 should be visited before node10\nnode 20 should be visited before node15\nnode 21 should be visited before node1\nnode 21 should be visited before node3\nnode 21 should be visited before node5\nnode 21 should be visited before node18\nnode 21 should be visited before node4\nnode 21 should be visited before node19\nnode 21 should be visited before node7\nnode 21 should be visited before node0\nnode 21 should be visited before node2\nnode 21 should be visited before node15\nnode 21 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,21,14,6,17,3,1,5,18,16,4,13,12,11,0,19,7,20,2,9,15,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph195",
        "image": "data/topology/graph_visual/medium/graph195.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 5 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node11\nnode 6 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node5\nnode 7 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node8\nnode 8 should be visited before node4\nnode 9 should be visited before node12\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node8\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node4\nnode 12 should be visited before node5\nnode 12 should be visited before node8\nnode 12 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,10,2,3,11,7,9,12,5,8,0,1,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph934",
        "image": "data/topology/graph_visual/medium/graph934.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node11\nnode 0 should be visited before node16\nnode 0 should be visited before node5\nnode 0 should be visited before node19\nnode 0 should be visited before node13\nnode 0 should be visited before node15\nnode 0 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node9\nnode 1 should be visited before node14\nnode 2 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node6\nnode 2 should be visited before node14\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 3 should be visited before node10\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node1\nnode 4 should be visited before node17\nnode 4 should be visited before node8\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node17\nnode 5 should be visited before node8\nnode 5 should be visited before node9\nnode 5 should be visited before node14\nnode 5 should be visited before node12\nnode 5 should be visited before node10\nnode 6 should be visited before node10\nnode 7 should be visited before node20\nnode 7 should be visited before node16\nnode 7 should be visited before node13\nnode 7 should be visited before node17\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node10\nnode 8 should be visited before node15\nnode 8 should be visited before node6\nnode 8 should be visited before node12\nnode 8 should be visited before node10\nnode 9 should be visited before node10\nnode 11 should be visited before node20\nnode 11 should be visited before node5\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node15\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 12 should be visited before node10\nnode 13 should be visited before node17\nnode 13 should be visited before node15\nnode 13 should be visited before node6\nnode 13 should be visited before node12\nnode 14 should be visited before node10\nnode 15 should be visited before node9\nnode 15 should be visited before node14\nnode 15 should be visited before node10\nnode 16 should be visited before node2\nnode 16 should be visited before node13\nnode 16 should be visited before node1\nnode 16 should be visited before node17\nnode 16 should be visited before node8\nnode 16 should be visited before node15\nnode 16 should be visited before node9\nnode 17 should be visited before node8\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 18 should be visited before node7\nnode 18 should be visited before node5\nnode 18 should be visited before node19\nnode 18 should be visited before node15\nnode 18 should be visited before node9\nnode 18 should be visited before node14\nnode 18 should be visited before node12\nnode 19 should be visited before node13\nnode 19 should be visited before node1\nnode 19 should be visited before node8\nnode 19 should be visited before node15\nnode 19 should be visited before node9\nnode 19 should be visited before node14\nnode 19 should be visited before node10\nnode 20 should be visited before node16\nnode 20 should be visited before node3\nnode 20 should be visited before node13\nnode 20 should be visited before node1\nnode 20 should be visited before node17\nnode 20 should be visited before node15\nnode 20 should be visited before node9\nnode 20 should be visited before node14\nnode 20 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,18,11,7,19,5,20,16,2,1,3,13,17,8,15,6,12,9,14,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph790",
        "image": "data/topology/graph_visual/medium/graph790.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 0 should be visited before node18\nnode 0 should be visited before node12\nnode 0 should be visited before node13\nnode 0 should be visited before node14\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node15\nnode 1 should be visited before node16\nnode 1 should be visited before node3\nnode 1 should be visited before node8\nnode 1 should be visited before node18\nnode 1 should be visited before node10\nnode 1 should be visited before node13\nnode 1 should be visited before node5\nnode 1 should be visited before node11\nnode 2 should be visited before node16\nnode 2 should be visited before node8\nnode 2 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 2 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 3 should be visited before node18\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node13\nnode 3 should be visited before node14\nnode 3 should be visited before node11\nnode 4 should be visited before node5\nnode 5 should be visited before node11\nnode 6 should be visited before node8\nnode 6 should be visited before node18\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node11\nnode 7 should be visited before node5\nnode 8 should be visited before node18\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node7\nnode 8 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node18\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node13\nnode 9 should be visited before node14\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node4\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 12 should be visited before node13\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 13 should be visited before node7\nnode 13 should be visited before node5\nnode 13 should be visited before node11\nnode 14 should be visited before node4\nnode 14 should be visited before node7\nnode 14 should be visited before node11\nnode 15 should be visited before node16\nnode 15 should be visited before node3\nnode 15 should be visited before node8\nnode 15 should be visited before node18\nnode 15 should be visited before node10\nnode 15 should be visited before node13\nnode 15 should be visited before node14\nnode 15 should be visited before node4\nnode 15 should be visited before node7\nnode 15 should be visited before node5\nnode 16 should be visited before node3\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node18\nnode 16 should be visited before node10\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 16 should be visited before node11\nnode 17 should be visited before node16\nnode 17 should be visited before node0\nnode 17 should be visited before node3\nnode 17 should be visited before node6\nnode 17 should be visited before node18\nnode 17 should be visited before node10\nnode 17 should be visited before node12\nnode 17 should be visited before node13\nnode 17 should be visited before node14\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node5\nnode 17 should be visited before node11\nnode 18 should be visited before node10\nnode 18 should be visited before node12\nnode 18 should be visited before node13\nnode 18 should be visited before node14\nnode 18 should be visited before node4\nnode 18 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,17,9,2,15,0,16,3,6,8,18,10,12,13,14,4,7,5,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph802",
        "image": "data/topology/graph_visual/medium/graph802.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node3\nnode 0 should be visited before node17\nnode 0 should be visited before node7\nnode 0 should be visited before node2\nnode 0 should be visited before node10\nnode 0 should be visited before node13\nnode 0 should be visited before node5\nnode 0 should be visited before node12\nnode 0 should be visited before node18\nnode 1 should be visited before node14\nnode 1 should be visited before node15\nnode 1 should be visited before node0\nnode 1 should be visited before node3\nnode 1 should be visited before node17\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node10\nnode 1 should be visited before node13\nnode 1 should be visited before node5\nnode 1 should be visited before node12\nnode 1 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 2 should be visited before node5\nnode 2 should be visited before node11\nnode 3 should be visited before node17\nnode 3 should be visited before node12\nnode 3 should be visited before node16\nnode 3 should be visited before node18\nnode 4 should be visited before node1\nnode 4 should be visited before node14\nnode 4 should be visited before node15\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node18\nnode 5 should be visited before node11\nnode 5 should be visited before node18\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node17\nnode 6 should be visited before node2\nnode 6 should be visited before node13\nnode 6 should be visited before node5\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node18\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node11\nnode 7 should be visited before node12\nnode 7 should be visited before node18\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 8 should be visited before node17\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 8 should be visited before node13\nnode 8 should be visited before node11\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 9 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node14\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node17\nnode 9 should be visited before node2\nnode 9 should be visited before node10\nnode 9 should be visited before node13\nnode 9 should be visited before node5\nnode 9 should be visited before node12\nnode 10 should be visited before node18\nnode 11 should be visited before node12\nnode 11 should be visited before node18\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 14 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node2\nnode 14 should be visited before node10\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node11\nnode 14 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node18\nnode 15 should be visited before node17\nnode 15 should be visited before node7\nnode 15 should be visited before node2\nnode 15 should be visited before node10\nnode 15 should be visited before node13\nnode 15 should be visited before node11\nnode 15 should be visited before node12\nnode 16 should be visited before node18\nnode 17 should be visited before node7\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node11\nnode 17 should be visited before node12\nnode 17 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,9,4,1,6,14,15,0,3,17,7,2,10,13,5,16,11,12,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph1156",
        "image": "data/topology/graph_visual/medium/graph1156.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node2\nnode 0 should be visited before node9\nnode 0 should be visited before node18\nnode 0 should be visited before node3\nnode 0 should be visited before node11\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 0 should be visited before node8\nnode 1 should be visited before node15\nnode 1 should be visited before node21\nnode 1 should be visited before node7\nnode 1 should be visited before node17\nnode 1 should be visited before node19\nnode 1 should be visited before node12\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node9\nnode 1 should be visited before node6\nnode 1 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node11\nnode 1 should be visited before node22\nnode 1 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node14\nnode 2 should be visited before node5\nnode 2 should be visited before node13\nnode 2 should be visited before node22\nnode 2 should be visited before node8\nnode 3 should be visited before node14\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 4 should be visited before node10\nnode 4 should be visited before node19\nnode 4 should be visited before node0\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node3\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node5\nnode 6 should be visited before node16\nnode 6 should be visited before node14\nnode 6 should be visited before node11\nnode 7 should be visited before node4\nnode 7 should be visited before node10\nnode 7 should be visited before node19\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node6\nnode 7 should be visited before node16\nnode 7 should be visited before node18\nnode 7 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node22\nnode 7 should be visited before node8\nnode 9 should be visited before node20\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 9 should be visited before node3\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 9 should be visited before node22\nnode 9 should be visited before node8\nnode 10 should be visited before node19\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node9\nnode 10 should be visited before node6\nnode 10 should be visited before node16\nnode 10 should be visited before node3\nnode 10 should be visited before node14\nnode 10 should be visited before node11\nnode 10 should be visited before node5\nnode 10 should be visited before node13\nnode 10 should be visited before node8\nnode 11 should be visited before node13\nnode 11 should be visited before node22\nnode 12 should be visited before node2\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 12 should be visited before node20\nnode 12 should be visited before node18\nnode 12 should be visited before node3\nnode 12 should be visited before node11\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 13 should be visited before node22\nnode 14 should be visited before node5\nnode 14 should be visited before node13\nnode 14 should be visited before node22\nnode 14 should be visited before node8\nnode 15 should be visited before node7\nnode 15 should be visited before node4\nnode 15 should be visited before node19\nnode 15 should be visited before node12\nnode 15 should be visited before node6\nnode 15 should be visited before node20\nnode 15 should be visited before node16\nnode 15 should be visited before node14\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 15 should be visited before node22\nnode 15 should be visited before node8\nnode 16 should be visited before node18\nnode 16 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node8\nnode 17 should be visited before node10\nnode 17 should be visited before node0\nnode 17 should be visited before node2\nnode 17 should be visited before node9\nnode 17 should be visited before node6\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node3\nnode 17 should be visited before node11\nnode 17 should be visited before node5\nnode 17 should be visited before node8\nnode 18 should be visited before node3\nnode 18 should be visited before node14\nnode 18 should be visited before node11\nnode 18 should be visited before node5\nnode 18 should be visited before node22\nnode 19 should be visited before node12\nnode 19 should be visited before node0\nnode 19 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node14\nnode 19 should be visited before node11\nnode 19 should be visited before node5\nnode 19 should be visited before node13\nnode 19 should be visited before node8\nnode 20 should be visited before node16\nnode 20 should be visited before node18\nnode 20 should be visited before node5\nnode 20 should be visited before node13\nnode 20 should be visited before node8\nnode 21 should be visited before node4\nnode 21 should be visited before node17\nnode 21 should be visited before node10\nnode 21 should be visited before node19\nnode 21 should be visited before node12\nnode 21 should be visited before node0\nnode 21 should be visited before node2\nnode 21 should be visited before node20\nnode 21 should be visited before node16\nnode 21 should be visited before node18\nnode 21 should be visited before node3\nnode 21 should be visited before node14\nnode 21 should be visited before node11\nnode 21 should be visited before node5\nnode 21 should be visited before node8\nnode 22 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,15,21,7,17,4,10,19,12,0,2,9,6,20,16,18,3,14,11,5,13,22,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph1094",
        "image": "data/topology/graph_visual/medium/graph1094.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node20\nnode 0 should be visited before node19\nnode 0 should be visited before node3\nnode 0 should be visited before node11\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 1 should be visited before node20\nnode 1 should be visited before node19\nnode 1 should be visited before node3\nnode 1 should be visited before node12\nnode 1 should be visited before node14\nnode 2 should be visited before node0\nnode 2 should be visited before node16\nnode 2 should be visited before node15\nnode 2 should be visited before node10\nnode 2 should be visited before node18\nnode 2 should be visited before node5\nnode 3 should be visited before node12\nnode 3 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 4 should be visited before node19\nnode 4 should be visited before node16\nnode 4 should be visited before node11\nnode 4 should be visited before node13\nnode 5 should be visited before node13\nnode 6 should be visited before node20\nnode 6 should be visited before node3\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node14\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 8 should be visited before node20\nnode 8 should be visited before node11\nnode 9 should be visited before node15\nnode 9 should be visited before node3\nnode 9 should be visited before node10\nnode 9 should be visited before node14\nnode 9 should be visited before node13\nnode 10 should be visited before node18\nnode 10 should be visited before node11\nnode 11 should be visited before node14\nnode 15 should be visited before node14\nnode 15 should be visited before node13\nnode 16 should be visited before node5\nnode 17 should be visited before node6\nnode 17 should be visited before node1\nnode 17 should be visited before node0\nnode 17 should be visited before node19\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node5\nnode 18 should be visited before node11\nnode 18 should be visited before node5\nnode 20 should be visited before node18\nnode 20 should be visited before node14\nnode 21 should be visited before node6\nnode 21 should be visited before node19\nnode 21 should be visited before node12\nnode 21 should be visited before node11\nnode 21 should be visited before node13\nnode 22 should be visited before node9\nnode 22 should be visited before node6\nnode 22 should be visited before node19\nnode 22 should be visited before node15\nnode 22 should be visited before node3\nnode 22 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,17,21,22,7,1,9,6,2,0,16,15,10,20,19,3,18,12,11,5,14,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph678",
        "image": "data/topology/graph_visual/medium/graph678.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node16\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 3 should be visited before node7\nnode 3 should be visited before node12\nnode 3 should be visited before node17\nnode 3 should be visited before node16\nnode 3 should be visited before node0\nnode 5 should be visited before node10\nnode 5 should be visited before node9\nnode 5 should be visited before node2\nnode 5 should be visited before node13\nnode 5 should be visited before node17\nnode 5 should be visited before node16\nnode 5 should be visited before node0\nnode 6 should be visited before node17\nnode 6 should be visited before node16\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 7 should be visited before node16\nnode 7 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node12\nnode 8 should be visited before node17\nnode 8 should be visited before node11\nnode 9 should be visited before node3\nnode 9 should be visited before node2\nnode 9 should be visited before node17\nnode 9 should be visited before node4\nnode 9 should be visited before node0\nnode 10 should be visited before node2\nnode 10 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 12 should be visited before node16\nnode 12 should be visited before node0\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node0\nnode 14 should be visited before node9\nnode 14 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node13\nnode 14 should be visited before node17\nnode 14 should be visited before node4\nnode 14 should be visited before node1\nnode 15 should be visited before node8\nnode 15 should be visited before node9\nnode 15 should be visited before node7\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 15 should be visited before node12\nnode 15 should be visited before node17\nnode 15 should be visited before node16\nnode 15 should be visited before node1\nnode 16 should be visited before node11\nnode 17 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,14,15,8,10,9,13,3,2,7,12,6,4,17,16,0,11,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph789",
        "image": "data/topology/graph_visual/medium/graph789.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node17\nnode 2 should be visited before node17\nnode 3 should be visited before node14\nnode 3 should be visited before node8\nnode 3 should be visited before node11\nnode 3 should be visited before node16\nnode 3 should be visited before node5\nnode 3 should be visited before node10\nnode 3 should be visited before node18\nnode 3 should be visited before node12\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 4 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node17\nnode 5 should be visited before node9\nnode 5 should be visited before node10\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node8\nnode 6 should be visited before node15\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 6 should be visited before node18\nnode 6 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node5\nnode 7 should be visited before node18\nnode 7 should be visited before node12\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node17\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node18\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node17\nnode 9 should be visited before node10\nnode 9 should be visited before node18\nnode 9 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 9 should be visited before node17\nnode 10 should be visited before node18\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 10 should be visited before node17\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node2\nnode 11 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node17\nnode 13 should be visited before node6\nnode 13 should be visited before node3\nnode 13 should be visited before node14\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node15\nnode 13 should be visited before node11\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node17\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node15\nnode 14 should be visited before node11\nnode 14 should be visited before node16\nnode 14 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node10\nnode 14 should be visited before node18\nnode 14 should be visited before node12\nnode 14 should be visited before node2\nnode 14 should be visited before node17\nnode 15 should be visited before node16\nnode 15 should be visited before node5\nnode 15 should be visited before node12\nnode 15 should be visited before node4\nnode 15 should be visited before node1\nnode 16 should be visited before node5\nnode 16 should be visited before node9\nnode 16 should be visited before node18\nnode 16 should be visited before node12\nnode 16 should be visited before node4\nnode 16 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node4\nnode 18 should be visited before node1\nnode 18 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,6,3,14,7,8,15,11,16,5,9,10,18,12,4,1,0,2,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph1192",
        "image": "data/topology/graph_visual/medium/graph1192.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 1 should be visited before node8\nnode 1 should be visited before node12\nnode 1 should be visited before node17\nnode 1 should be visited before node22\nnode 1 should be visited before node7\nnode 1 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node23\nnode 2 should be visited before node22\nnode 2 should be visited before node5\nnode 2 should be visited before node21\nnode 2 should be visited before node15\nnode 3 should be visited before node12\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node22\nnode 3 should be visited before node21\nnode 3 should be visited before node15\nnode 4 should be visited before node18\nnode 4 should be visited before node10\nnode 4 should be visited before node23\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node14\nnode 4 should be visited before node21\nnode 5 should be visited before node21\nnode 5 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node10\nnode 6 should be visited before node23\nnode 6 should be visited before node17\nnode 6 should be visited before node13\nnode 6 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node21\nnode 7 should be visited before node15\nnode 8 should be visited before node20\nnode 8 should be visited before node22\nnode 8 should be visited before node7\nnode 8 should be visited before node21\nnode 9 should be visited before node1\nnode 9 should be visited before node3\nnode 9 should be visited before node17\nnode 9 should be visited before node5\nnode 9 should be visited before node21\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 11 should be visited before node3\nnode 11 should be visited before node12\nnode 11 should be visited before node20\nnode 11 should be visited before node7\nnode 11 should be visited before node5\nnode 11 should be visited before node21\nnode 11 should be visited before node15\nnode 12 should be visited before node22\nnode 12 should be visited before node7\nnode 12 should be visited before node15\nnode 13 should be visited before node5\nnode 13 should be visited before node21\nnode 13 should be visited before node15\nnode 14 should be visited before node21\nnode 14 should be visited before node15\nnode 16 should be visited before node18\nnode 16 should be visited before node19\nnode 16 should be visited before node9\nnode 16 should be visited before node1\nnode 16 should be visited before node23\nnode 16 should be visited before node5\nnode 16 should be visited before node15\nnode 17 should be visited before node13\nnode 17 should be visited before node14\nnode 18 should be visited before node0\nnode 18 should be visited before node7\nnode 18 should be visited before node14\nnode 19 should be visited before node1\nnode 19 should be visited before node12\nnode 19 should be visited before node5\nnode 19 should be visited before node14\nnode 20 should be visited before node22\nnode 20 should be visited before node5\nnode 20 should be visited before node21\nnode 22 should be visited before node5\nnode 23 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,4,6,11,16,10,18,19,9,23,1,3,8,12,17,0,20,7,13,14,22,5,21,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph355",
        "image": "data/topology/graph_visual/medium/graph355.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node4\nnode 0 should be visited before node12\nnode 0 should be visited before node10\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 1 should be visited before node7\nnode 2 should be visited before node9\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node4\nnode 2 should be visited before node12\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 3 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 8 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 10 should be visited before node1\nnode 10 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 11 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node1\nnode 12 should be visited before node3\nnode 12 should be visited before node7\nnode 13 should be visited before node6\nnode 13 should be visited before node0\nnode 13 should be visited before node4\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,2,9,13,6,8,0,4,12,5,10,3,1,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph349",
        "image": "data/topology/graph_visual/medium/graph349.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node3\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 3 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 6 should be visited before node10\nnode 6 should be visited before node1\nnode 6 should be visited before node8\nnode 6 should be visited before node13\nnode 6 should be visited before node2\nnode 6 should be visited before node12\nnode 6 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node12\nnode 8 should be visited before node9\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 8 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 10 should be visited before node1\nnode 10 should be visited before node8\nnode 10 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 11 should be visited before node4\nnode 12 should be visited before node11\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node3\nnode 12 should be visited before node4\nnode 13 should be visited before node2\nnode 13 should be visited before node11\nnode 13 should be visited before node9\nnode 13 should be visited before node7\nnode 13 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,10,1,8,13,12,2,11,9,7,0,3,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph519",
        "image": "data/topology/graph_visual/medium/graph519.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 0 should be visited before node10\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 0 should be visited before node8\nnode 0 should be visited before node1\nnode 0 should be visited before node12\nnode 1 should be visited before node12\nnode 2 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node9\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 3 should be visited before node2\nnode 3 should be visited before node14\nnode 3 should be visited before node9\nnode 3 should be visited before node6\nnode 3 should be visited before node13\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node14\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 4 should be visited before node1\nnode 4 should be visited before node12\nnode 5 should be visited before node10\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 5 should be visited before node13\nnode 5 should be visited before node12\nnode 6 should be visited before node13\nnode 6 should be visited before node8\nnode 6 should be visited before node12\nnode 7 should be visited before node11\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 7 should be visited before node6\nnode 7 should be visited before node8\nnode 7 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node13\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node12\nnode 10 should be visited before node9\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node1\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 11 should be visited before node14\nnode 11 should be visited before node5\nnode 11 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node9\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 13 should be visited before node8\nnode 13 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node1\nnode 14 should be visited before node12\nnode 15 should be visited before node9\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 15 should be visited before node8\nnode 15 should be visited before node1\nnode 15 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,11,0,4,3,15,2,14,5,10,9,6,13,8,1,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph873",
        "image": "data/topology/graph_visual/medium/graph873.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node13\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 0 should be visited before node14\nnode 0 should be visited before node10\nnode 0 should be visited before node19\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 0 should be visited before node16\nnode 0 should be visited before node8\nnode 0 should be visited before node17\nnode 0 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node3\nnode 2 should be visited before node9\nnode 2 should be visited before node15\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node18\nnode 3 should be visited before node16\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 4 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node1\nnode 5 should be visited before node19\nnode 5 should be visited before node18\nnode 5 should be visited before node16\nnode 5 should be visited before node17\nnode 5 should be visited before node6\nnode 7 should be visited before node11\nnode 7 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node10\nnode 7 should be visited before node19\nnode 7 should be visited before node16\nnode 7 should be visited before node17\nnode 7 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node1\nnode 9 should be visited before node18\nnode 9 should be visited before node15\nnode 9 should be visited before node8\nnode 9 should be visited before node17\nnode 9 should be visited before node6\nnode 9 should be visited before node1\nnode 10 should be visited before node19\nnode 10 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node17\nnode 10 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node10\nnode 11 should be visited before node19\nnode 11 should be visited before node9\nnode 11 should be visited before node15\nnode 11 should be visited before node16\nnode 11 should be visited before node8\nnode 11 should be visited before node17\nnode 11 should be visited before node1\nnode 12 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node11\nnode 12 should be visited before node5\nnode 12 should be visited before node14\nnode 12 should be visited before node10\nnode 12 should be visited before node19\nnode 12 should be visited before node9\nnode 12 should be visited before node16\nnode 12 should be visited before node8\nnode 12 should be visited before node6\nnode 12 should be visited before node1\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node9\nnode 13 should be visited before node18\nnode 13 should be visited before node15\nnode 13 should be visited before node16\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 14 should be visited before node9\nnode 14 should be visited before node15\nnode 14 should be visited before node16\nnode 14 should be visited before node8\nnode 14 should be visited before node17\nnode 14 should be visited before node6\nnode 14 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node17\nnode 16 should be visited before node17\nnode 16 should be visited before node1\nnode 17 should be visited before node1\nnode 18 should be visited before node15\nnode 18 should be visited before node16\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 19 should be visited before node9\nnode 19 should be visited before node18\nnode 19 should be visited before node15\nnode 19 should be visited before node16\nnode 19 should be visited before node8\nnode 19 should be visited before node17\nnode 19 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,12,2,4,13,7,11,5,3,14,10,19,9,18,15,8,16,6,17,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph810",
        "image": "data/topology/graph_visual/medium/graph810.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node4\nnode 0 should be visited before node19\nnode 0 should be visited before node17\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node17\nnode 3 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 4 should be visited before node19\nnode 4 should be visited before node17\nnode 5 should be visited before node9\nnode 5 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node12\nnode 7 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node11\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node4\nnode 10 should be visited before node16\nnode 10 should be visited before node19\nnode 10 should be visited before node17\nnode 10 should be visited before node8\nnode 11 should be visited before node2\nnode 13 should be visited before node5\nnode 13 should be visited before node9\nnode 13 should be visited before node16\nnode 13 should be visited before node19\nnode 13 should be visited before node11\nnode 13 should be visited before node8\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 15 should be visited before node5\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node7\nnode 15 should be visited before node17\nnode 15 should be visited before node8\nnode 16 should be visited before node19\nnode 17 should be visited before node11\nnode 18 should be visited before node1\nnode 18 should be visited before node3\nnode 18 should be visited before node5\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 18 should be visited before node8\nnode 19 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,14,15,18,1,3,6,0,13,4,5,16,8,17,9,12,19,7,11,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph727",
        "image": "data/topology/graph_visual/medium/graph727.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node6\nnode 0 should be visited before node16\nnode 1 should be visited before node9\nnode 1 should be visited before node14\nnode 2 should be visited before node18\nnode 2 should be visited before node5\nnode 2 should be visited before node14\nnode 2 should be visited before node16\nnode 3 should be visited before node15\nnode 3 should be visited before node12\nnode 3 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node0\nnode 4 should be visited before node11\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 5 should be visited before node11\nnode 6 should be visited before node16\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 7 should be visited before node8\nnode 8 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node5\nnode 10 should be visited before node4\nnode 10 should be visited before node5\nnode 11 should be visited before node6\nnode 11 should be visited before node16\nnode 12 should be visited before node16\nnode 13 should be visited before node1\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 13 should be visited before node18\nnode 13 should be visited before node8\nnode 15 should be visited before node12\nnode 15 should be visited before node18\nnode 15 should be visited before node5\nnode 17 should be visited before node4\nnode 17 should be visited before node13\nnode 17 should be visited before node7\nnode 17 should be visited before node3\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 17 should be visited before node18\nnode 17 should be visited before node8\nnode 18 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,17,4,7,13,2,0,3,1,15,8,9,14,18,12,5,11,6,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph964",
        "image": "data/topology/graph_visual/medium/graph964.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node18\nnode 0 should be visited before node11\nnode 0 should be visited before node4\nnode 0 should be visited before node14\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 0 should be visited before node19\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node17\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 1 should be visited before node13\nnode 2 should be visited before node17\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 3 should be visited before node15\nnode 3 should be visited before node20\nnode 3 should be visited before node19\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node10\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 4 should be visited before node20\nnode 4 should be visited before node19\nnode 4 should be visited before node2\nnode 4 should be visited before node10\nnode 4 should be visited before node5\nnode 4 should be visited before node13\nnode 5 should be visited before node13\nnode 6 should be visited before node2\nnode 6 should be visited before node17\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 7 should be visited before node8\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node11\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node18\nnode 8 should be visited before node15\nnode 8 should be visited before node4\nnode 8 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node17\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node18\nnode 9 should be visited before node15\nnode 9 should be visited before node11\nnode 9 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node20\nnode 9 should be visited before node6\nnode 9 should be visited before node2\nnode 9 should be visited before node17\nnode 9 should be visited before node10\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 10 should be visited before node1\nnode 11 should be visited before node4\nnode 11 should be visited before node14\nnode 11 should be visited before node12\nnode 11 should be visited before node20\nnode 11 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node17\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 12 should be visited before node16\nnode 12 should be visited before node20\nnode 12 should be visited before node19\nnode 12 should be visited before node17\nnode 12 should be visited before node10\nnode 12 should be visited before node5\nnode 12 should be visited before node1\nnode 14 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node6\nnode 14 should be visited before node2\nnode 14 should be visited before node17\nnode 14 should be visited before node10\nnode 14 should be visited before node1\nnode 15 should be visited before node4\nnode 15 should be visited before node12\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 15 should be visited before node19\nnode 15 should be visited before node6\nnode 15 should be visited before node2\nnode 15 should be visited before node17\nnode 15 should be visited before node10\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 16 should be visited before node20\nnode 16 should be visited before node19\nnode 16 should be visited before node2\nnode 16 should be visited before node10\nnode 16 should be visited before node1\nnode 16 should be visited before node13\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node1\nnode 17 should be visited before node13\nnode 18 should be visited before node14\nnode 18 should be visited before node12\nnode 18 should be visited before node16\nnode 18 should be visited before node20\nnode 18 should be visited before node19\nnode 18 should be visited before node6\nnode 18 should be visited before node2\nnode 18 should be visited before node17\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 18 should be visited before node13\nnode 19 should be visited before node6\nnode 19 should be visited before node17\nnode 19 should be visited before node10\nnode 19 should be visited before node1\nnode 19 should be visited before node13\nnode 20 should be visited before node2\nnode 20 should be visited before node10\nnode 20 should be visited before node1\nnode 20 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,7,8,3,0,15,18,11,4,14,12,16,20,19,6,2,17,10,5,1,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph831",
        "image": "data/topology/graph_visual/medium/graph831.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node16\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node19\nnode 1 should be visited before node18\nnode 2 should be visited before node8\nnode 3 should be visited before node9\nnode 3 should be visited before node4\nnode 5 should be visited before node10\nnode 5 should be visited before node17\nnode 6 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node17\nnode 6 should be visited before node16\nnode 7 should be visited before node12\nnode 7 should be visited before node16\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 10 should be visited before node17\nnode 11 should be visited before node6\nnode 11 should be visited before node15\nnode 11 should be visited before node7\nnode 11 should be visited before node1\nnode 11 should be visited before node17\nnode 11 should be visited before node9\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 12 should be visited before node9\nnode 12 should be visited before node18\nnode 12 should be visited before node2\nnode 12 should be visited before node8\nnode 13 should be visited before node7\nnode 13 should be visited before node1\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node17\nnode 14 should be visited before node17\nnode 14 should be visited before node18\nnode 14 should be visited before node2\nnode 14 should be visited before node4\nnode 15 should be visited before node7\nnode 15 should be visited before node10\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node17\nnode 15 should be visited before node19\nnode 15 should be visited before node8\nnode 16 should be visited before node19\nnode 16 should be visited before node2\nnode 16 should be visited before node8\nnode 16 should be visited before node4\nnode 17 should be visited before node19\nnode 17 should be visited before node2\nnode 17 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,11,6,15,13,7,1,12,5,0,14,9,10,16,18,17,4,19,2,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph90",
        "image": "data/topology/graph_visual/medium/graph90.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 6 should be visited before node10\nnode 7 should be visited before node0\nnode 7 should be visited before node11\nnode 8 should be visited before node11\nnode 8 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node10\nnode 10 should be visited before node11\nnode 10 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,8,9,7,6,5,0,10,11,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph738",
        "image": "data/topology/graph_visual/medium/graph738.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node11\nnode 0 should be visited before node13\nnode 0 should be visited before node9\nnode 0 should be visited before node17\nnode 1 should be visited before node17\nnode 1 should be visited before node15\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 3 should be visited before node13\nnode 5 should be visited before node15\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node15\nnode 7 should be visited before node9\nnode 7 should be visited before node15\nnode 10 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 12 should be visited before node16\nnode 12 should be visited before node14\nnode 12 should be visited before node10\nnode 12 should be visited before node5\nnode 13 should be visited before node9\nnode 13 should be visited before node17\nnode 13 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node4\nnode 15 should be visited before node4\nnode 16 should be visited before node13\nnode 16 should be visited before node15\nnode 17 should be visited before node8\nnode 17 should be visited before node15\nnode 18 should be visited before node6\nnode 18 should be visited before node0\nnode 18 should be visited before node7\nnode 18 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,12,18,16,14,6,0,3,10,5,11,7,13,9,17,8,15,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph734",
        "image": "data/topology/graph_visual/medium/graph734.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node18\nnode 0 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node16\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 6 should be visited before node1\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 8 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node8\nnode 10 should be visited before node17\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 11 should be visited before node3\nnode 11 should be visited before node16\nnode 11 should be visited before node8\nnode 12 should be visited before node18\nnode 13 should be visited before node4\nnode 13 should be visited before node5\nnode 13 should be visited before node16\nnode 15 should be visited before node0\nnode 15 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node16\nnode 17 should be visited before node1\nnode 18 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,7,10,11,12,13,15,17,3,4,5,9,16,6,0,18,8,1,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph354",
        "image": "data/topology/graph_visual/medium/graph354.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node9\nnode 0 should be visited before node7\nnode 1 should be visited before node11\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node9\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node13\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node6\nnode 4 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 8 should be visited before node9\nnode 8 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 8 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 11 should be visited before node8\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node7\nnode 13 should be visited before node7\nnode 13 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,10,11,5,8,0,12,2,3,9,13,7,4,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1145",
        "image": "data/topology/graph_visual/medium/graph1145.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node16\nnode 0 should be visited before node12\nnode 0 should be visited before node7\nnode 0 should be visited before node2\nnode 0 should be visited before node15\nnode 0 should be visited before node10\nnode 0 should be visited before node8\nnode 0 should be visited before node5\nnode 0 should be visited before node20\nnode 0 should be visited before node17\nnode 0 should be visited before node21\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node10\nnode 2 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node4\nnode 2 should be visited before node22\nnode 2 should be visited before node5\nnode 2 should be visited before node17\nnode 2 should be visited before node14\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 3 should be visited before node11\nnode 3 should be visited before node22\nnode 3 should be visited before node5\nnode 3 should be visited before node20\nnode 3 should be visited before node17\nnode 3 should be visited before node14\nnode 3 should be visited before node21\nnode 3 should be visited before node13\nnode 3 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node20\nnode 4 should be visited before node17\nnode 4 should be visited before node14\nnode 4 should be visited before node6\nnode 4 should be visited before node13\nnode 5 should be visited before node20\nnode 5 should be visited before node14\nnode 5 should be visited before node13\nnode 5 should be visited before node1\nnode 6 should be visited before node21\nnode 6 should be visited before node13\nnode 7 should be visited before node2\nnode 7 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node20\nnode 7 should be visited before node14\nnode 7 should be visited before node6\nnode 7 should be visited before node21\nnode 8 should be visited before node4\nnode 8 should be visited before node22\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node6\nnode 8 should be visited before node1\nnode 9 should be visited before node18\nnode 9 should be visited before node0\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node7\nnode 9 should be visited before node19\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node4\nnode 9 should be visited before node22\nnode 9 should be visited before node5\nnode 9 should be visited before node20\nnode 9 should be visited before node14\nnode 9 should be visited before node6\nnode 9 should be visited before node21\nnode 9 should be visited before node13\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node22\nnode 10 should be visited before node5\nnode 10 should be visited before node20\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 10 should be visited before node6\nnode 10 should be visited before node21\nnode 11 should be visited before node8\nnode 11 should be visited before node22\nnode 11 should be visited before node5\nnode 11 should be visited before node20\nnode 11 should be visited before node17\nnode 11 should be visited before node6\nnode 11 should be visited before node21\nnode 11 should be visited before node13\nnode 12 should be visited before node7\nnode 12 should be visited before node2\nnode 12 should be visited before node15\nnode 12 should be visited before node3\nnode 12 should be visited before node11\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node20\nnode 12 should be visited before node17\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 14 should be visited before node6\nnode 14 should be visited before node21\nnode 14 should be visited before node1\nnode 15 should be visited before node19\nnode 15 should be visited before node10\nnode 15 should be visited before node4\nnode 15 should be visited before node5\nnode 15 should be visited before node20\nnode 15 should be visited before node17\nnode 15 should be visited before node14\nnode 15 should be visited before node21\nnode 15 should be visited before node13\nnode 15 should be visited before node1\nnode 16 should be visited before node7\nnode 16 should be visited before node2\nnode 16 should be visited before node15\nnode 16 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node3\nnode 16 should be visited before node11\nnode 16 should be visited before node4\nnode 16 should be visited before node22\nnode 16 should be visited before node5\nnode 16 should be visited before node20\nnode 16 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node1\nnode 17 should be visited before node14\nnode 17 should be visited before node6\nnode 17 should be visited before node21\nnode 17 should be visited before node13\nnode 17 should be visited before node1\nnode 18 should be visited before node0\nnode 18 should be visited before node16\nnode 18 should be visited before node12\nnode 18 should be visited before node15\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 18 should be visited before node11\nnode 18 should be visited before node8\nnode 18 should be visited before node4\nnode 18 should be visited before node22\nnode 18 should be visited before node5\nnode 18 should be visited before node20\nnode 18 should be visited before node14\nnode 18 should be visited before node6\nnode 18 should be visited before node21\nnode 18 should be visited before node13\nnode 18 should be visited before node1\nnode 19 should be visited before node3\nnode 19 should be visited before node11\nnode 19 should be visited before node8\nnode 19 should be visited before node4\nnode 19 should be visited before node5\nnode 19 should be visited before node14\nnode 19 should be visited before node6\nnode 19 should be visited before node21\nnode 19 should be visited before node13\nnode 20 should be visited before node17\nnode 20 should be visited before node14\nnode 20 should be visited before node6\nnode 20 should be visited before node21\nnode 20 should be visited before node13\nnode 20 should be visited before node1\nnode 21 should be visited before node13\nnode 21 should be visited before node1\nnode 22 should be visited before node5\nnode 22 should be visited before node20\nnode 22 should be visited before node17\nnode 22 should be visited before node6\nnode 22 should be visited before node21\nnode 22 should be visited before node13\nnode 22 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,18,0,16,12,7,2,15,19,10,3,11,8,4,22,5,20,17,14,6,21,13,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph1072",
        "image": "data/topology/graph_visual/medium/graph1072.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node15\nnode 0 should be visited before node18\nnode 0 should be visited before node20\nnode 0 should be visited before node17\nnode 0 should be visited before node12\nnode 0 should be visited before node19\nnode 0 should be visited before node4\nnode 0 should be visited before node13\nnode 0 should be visited before node9\nnode 0 should be visited before node21\nnode 0 should be visited before node16\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 4 should be visited before node21\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node6\nnode 5 should be visited before node11\nnode 6 should be visited before node11\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node17\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node21\nnode 8 should be visited before node16\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node11\nnode 9 should be visited before node21\nnode 9 should be visited before node16\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 10 should be visited before node8\nnode 10 should be visited before node20\nnode 10 should be visited before node17\nnode 10 should be visited before node19\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node21\nnode 10 should be visited before node16\nnode 10 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node1\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 12 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node21\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 13 should be visited before node9\nnode 13 should be visited before node5\nnode 13 should be visited before node7\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node6\nnode 14 should be visited before node0\nnode 14 should be visited before node15\nnode 14 should be visited before node18\nnode 14 should be visited before node10\nnode 14 should be visited before node8\nnode 14 should be visited before node20\nnode 14 should be visited before node17\nnode 14 should be visited before node12\nnode 14 should be visited before node19\nnode 14 should be visited before node13\nnode 14 should be visited before node9\nnode 14 should be visited before node21\nnode 14 should be visited before node5\nnode 14 should be visited before node7\nnode 14 should be visited before node2\nnode 14 should be visited before node1\nnode 14 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node11\nnode 15 should be visited before node18\nnode 15 should be visited before node10\nnode 15 should be visited before node12\nnode 15 should be visited before node19\nnode 15 should be visited before node13\nnode 15 should be visited before node9\nnode 15 should be visited before node16\nnode 15 should be visited before node5\nnode 15 should be visited before node7\nnode 15 should be visited before node2\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 15 should be visited before node6\nnode 15 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node7\nnode 16 should be visited before node2\nnode 16 should be visited before node3\nnode 16 should be visited before node6\nnode 16 should be visited before node11\nnode 17 should be visited before node12\nnode 17 should be visited before node19\nnode 17 should be visited before node4\nnode 17 should be visited before node21\nnode 17 should be visited before node16\nnode 17 should be visited before node5\nnode 17 should be visited before node2\nnode 17 should be visited before node1\nnode 17 should be visited before node3\nnode 17 should be visited before node6\nnode 17 should be visited before node11\nnode 18 should be visited before node10\nnode 18 should be visited before node8\nnode 18 should be visited before node12\nnode 18 should be visited before node19\nnode 18 should be visited before node13\nnode 18 should be visited before node9\nnode 18 should be visited before node21\nnode 18 should be visited before node5\nnode 18 should be visited before node7\nnode 18 should be visited before node2\nnode 18 should be visited before node1\nnode 18 should be visited before node3\nnode 18 should be visited before node6\nnode 18 should be visited before node11\nnode 19 should be visited before node13\nnode 19 should be visited before node21\nnode 19 should be visited before node5\nnode 19 should be visited before node7\nnode 19 should be visited before node2\nnode 19 should be visited before node1\nnode 19 should be visited before node3\nnode 19 should be visited before node11\nnode 20 should be visited before node17\nnode 20 should be visited before node12\nnode 20 should be visited before node4\nnode 20 should be visited before node9\nnode 20 should be visited before node21\nnode 20 should be visited before node5\nnode 20 should be visited before node7\nnode 20 should be visited before node1\nnode 21 should be visited before node16\nnode 21 should be visited before node1\nnode 21 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,0,15,18,10,8,20,17,12,19,4,13,9,21,16,5,7,2,1,3,6,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph965",
        "image": "data/topology/graph_visual/medium/graph965.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 1 should be visited before node17\nnode 1 should be visited before node13\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node19\nnode 1 should be visited before node8\nnode 1 should be visited before node11\nnode 2 should be visited before node10\nnode 2 should be visited before node19\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node19\nnode 3 should be visited before node8\nnode 3 should be visited before node15\nnode 3 should be visited before node11\nnode 3 should be visited before node0\nnode 4 should be visited before node2\nnode 4 should be visited before node19\nnode 4 should be visited before node8\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node11\nnode 6 should be visited before node16\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node17\nnode 6 should be visited before node13\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node2\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node19\nnode 7 should be visited before node8\nnode 7 should be visited before node15\nnode 7 should be visited before node11\nnode 8 should be visited before node15\nnode 8 should be visited before node0\nnode 9 should be visited before node20\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node19\nnode 9 should be visited before node15\nnode 10 should be visited before node19\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 10 should be visited before node0\nnode 12 should be visited before node19\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 13 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node2\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node19\nnode 13 should be visited before node11\nnode 13 should be visited before node0\nnode 14 should be visited before node20\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node7\nnode 14 should be visited before node2\nnode 14 should be visited before node10\nnode 14 should be visited before node12\nnode 14 should be visited before node19\nnode 14 should be visited before node8\nnode 14 should be visited before node15\nnode 14 should be visited before node11\nnode 16 should be visited before node17\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node10\nnode 16 should be visited before node12\nnode 16 should be visited before node19\nnode 16 should be visited before node8\nnode 16 should be visited before node0\nnode 17 should be visited before node13\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node2\nnode 17 should be visited before node10\nnode 17 should be visited before node12\nnode 17 should be visited before node8\nnode 18 should be visited before node14\nnode 18 should be visited before node20\nnode 18 should be visited before node5\nnode 18 should be visited before node17\nnode 18 should be visited before node13\nnode 18 should be visited before node7\nnode 18 should be visited before node10\nnode 18 should be visited before node8\nnode 18 should be visited before node11\nnode 19 should be visited before node8\nnode 19 should be visited before node15\nnode 20 should be visited before node16\nnode 20 should be visited before node3\nnode 20 should be visited before node5\nnode 20 should be visited before node1\nnode 20 should be visited before node17\nnode 20 should be visited before node4\nnode 20 should be visited before node7\nnode 20 should be visited before node10\nnode 20 should be visited before node19\nnode 20 should be visited before node8\nnode 20 should be visited before node15\nnode 20 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,18,14,20,6,3,16,5,1,17,13,4,7,12,2,10,19,11,8,15,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph1290",
        "image": "data/topology/graph_visual/medium/graph1290.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node18\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 1 should be visited before node10\nnode 1 should be visited before node22\nnode 1 should be visited before node12\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node19\nnode 1 should be visited before node15\nnode 2 should be visited before node13\nnode 2 should be visited before node0\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 2 should be visited before node15\nnode 3 should be visited before node10\nnode 3 should be visited before node7\nnode 3 should be visited before node5\nnode 3 should be visited before node13\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node9\nnode 4 should be visited before node11\nnode 4 should be visited before node23\nnode 4 should be visited before node21\nnode 4 should be visited before node8\nnode 4 should be visited before node22\nnode 4 should be visited before node12\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 4 should be visited before node18\nnode 4 should be visited before node14\nnode 4 should be visited before node19\nnode 4 should be visited before node15\nnode 5 should be visited before node20\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node18\nnode 5 should be visited before node14\nnode 5 should be visited before node15\nnode 6 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node15\nnode 8 should be visited before node10\nnode 8 should be visited before node14\nnode 8 should be visited before node19\nnode 9 should be visited before node15\nnode 10 should be visited before node12\nnode 10 should be visited before node7\nnode 10 should be visited before node20\nnode 10 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 11 should be visited before node24\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node22\nnode 11 should be visited before node12\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node20\nnode 11 should be visited before node2\nnode 11 should be visited before node17\nnode 11 should be visited before node18\nnode 11 should be visited before node9\nnode 11 should be visited before node19\nnode 11 should be visited before node15\nnode 12 should be visited before node7\nnode 12 should be visited before node5\nnode 12 should be visited before node20\nnode 12 should be visited before node13\nnode 12 should be visited before node18\nnode 12 should be visited before node14\nnode 12 should be visited before node19\nnode 13 should be visited before node17\nnode 13 should be visited before node0\nnode 13 should be visited before node18\nnode 13 should be visited before node9\nnode 13 should be visited before node15\nnode 14 should be visited before node19\nnode 16 should be visited before node11\nnode 16 should be visited before node23\nnode 16 should be visited before node3\nnode 16 should be visited before node21\nnode 16 should be visited before node10\nnode 16 should be visited before node22\nnode 16 should be visited before node20\nnode 16 should be visited before node13\nnode 16 should be visited before node0\nnode 16 should be visited before node18\nnode 16 should be visited before node15\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 18 should be visited before node15\nnode 19 should be visited before node15\nnode 20 should be visited before node13\nnode 20 should be visited before node17\nnode 20 should be visited before node0\nnode 20 should be visited before node18\nnode 20 should be visited before node9\nnode 21 should be visited before node12\nnode 21 should be visited before node7\nnode 21 should be visited before node13\nnode 21 should be visited before node0\nnode 21 should be visited before node18\nnode 21 should be visited before node14\nnode 21 should be visited before node19\nnode 22 should be visited before node6\nnode 22 should be visited before node7\nnode 22 should be visited before node2\nnode 22 should be visited before node13\nnode 22 should be visited before node18\nnode 22 should be visited before node14\nnode 22 should be visited before node15\nnode 23 should be visited before node24\nnode 23 should be visited before node8\nnode 23 should be visited before node12\nnode 23 should be visited before node6\nnode 23 should be visited before node20\nnode 23 should be visited before node17\nnode 23 should be visited before node18\nnode 23 should be visited before node9\nnode 23 should be visited before node15\nnode 24 should be visited before node1\nnode 24 should be visited before node3\nnode 24 should be visited before node8\nnode 24 should be visited before node10\nnode 24 should be visited before node5\nnode 24 should be visited before node2\nnode 24 should be visited before node14\nnode 24 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,16,11,23,21,24,1,3,8,22,10,6,12,7,5,20,2,13,17,0,9,18,14,19,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph264",
        "image": "data/topology/graph_visual/medium/graph264.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node12\nnode 0 should be visited before node5\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 0 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node12\nnode 1 should be visited before node5\nnode 1 should be visited before node11\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 2 should be visited before node7\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 3 should be visited before node10\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 4 should be visited before node8\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node5\nnode 6 should be visited before node11\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node12\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 10 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node4\nnode 11 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node4\nnode 12 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,1,6,3,0,12,5,11,2,7,10,4,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph231",
        "image": "data/topology/graph_visual/medium/graph231.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node11\nnode 1 should be visited before node12\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 4 should be visited before node0\nnode 5 should be visited before node0\nnode 6 should be visited before node9\nnode 6 should be visited before node8\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 6 should be visited before node12\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node12\nnode 7 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node11\nnode 9 should be visited before node4\nnode 9 should be visited before node12\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node2\nnode 11 should be visited before node2\nnode 12 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,10,9,7,3,8,1,4,5,11,12,0,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph465",
        "image": "data/topology/graph_visual/medium/graph465.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node5\nnode 1 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 6 should be visited before node11\nnode 6 should be visited before node2\nnode 7 should be visited before node14\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 8 should be visited before node14\nnode 8 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 10 should be visited before node13\nnode 10 should be visited before node15\nnode 11 should be visited before node12\nnode 12 should be visited before node5\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 14 should be visited before node13\nnode 15 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,3,0,1,10,8,7,9,14,6,15,13,2,11,12,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph357",
        "image": "data/topology/graph_visual/medium/graph357.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node8\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 1 should be visited before node11\nnode 1 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node11\nnode 2 should be visited before node4\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node1\nnode 3 should be visited before node11\nnode 5 should be visited before node12\nnode 5 should be visited before node9\nnode 5 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 7 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node3\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 7 should be visited before node1\nnode 7 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 8 should be visited before node10\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node4\nnode 9 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node12\nnode 10 should be visited before node1\nnode 11 should be visited before node4\nnode 12 should be visited before node9\nnode 12 should be visited before node11\nnode 13 should be visited before node3\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node9\nnode 13 should be visited before node11\nnode 13 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,7,13,0,8,3,5,10,6,12,9,1,11,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph474",
        "image": "data/topology/graph_visual/medium/graph474.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node9\nnode 0 should be visited before node15\nnode 0 should be visited before node8\nnode 1 should be visited before node13\nnode 1 should be visited before node11\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node15\nnode 2 should be visited before node8\nnode 3 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node8\nnode 3 should be visited before node12\nnode 4 should be visited before node1\nnode 4 should be visited before node11\nnode 4 should be visited before node2\nnode 4 should be visited before node15\nnode 4 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 6 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node9\nnode 7 should be visited before node8\nnode 9 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node1\nnode 10 should be visited before node13\nnode 10 should be visited before node0\nnode 10 should be visited before node9\nnode 11 should be visited before node9\nnode 13 should be visited before node9\nnode 14 should be visited before node0\nnode 15 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,6,10,14,3,7,1,13,11,2,12,0,9,15,8,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph375",
        "image": "data/topology/graph_visual/medium/graph375.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node10\nnode 0 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 2 should be visited before node4\nnode 3 should be visited before node13\nnode 4 should be visited before node3\nnode 4 should be visited before node8\nnode 5 should be visited before node9\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node2\nnode 5 should be visited before node14\nnode 5 should be visited before node8\nnode 6 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node6\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node14\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node6\nnode 11 should be visited before node4\nnode 12 should be visited before node4\nnode 12 should be visited before node13\nnode 13 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,7,11,5,1,9,2,10,14,12,4,3,13,6,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph129",
        "image": "data/topology/graph_visual/medium/graph129.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 1 should be visited before node10\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node8\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 7 should be visited before node2\nnode 9 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node9\nnode 10 should be visited before node3\nnode 10 should be visited before node2\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 11 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 11 should be visited before node5\nnode 11 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,11,10,7,6,9,3,4,2,8,0,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph704",
        "image": "data/topology/graph_visual/medium/graph704.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node1\nnode 0 should be visited before node8\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 0 should be visited before node2\nnode 0 should be visited before node14\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node2\nnode 1 should be visited before node10\nnode 1 should be visited before node11\nnode 1 should be visited before node16\nnode 1 should be visited before node6\nnode 2 should be visited before node10\nnode 2 should be visited before node14\nnode 2 should be visited before node16\nnode 2 should be visited before node5\nnode 2 should be visited before node3\nnode 4 should be visited before node15\nnode 4 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 4 should be visited before node14\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node3\nnode 6 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 7 should be visited before node13\nnode 7 should be visited before node17\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node17\nnode 8 should be visited before node2\nnode 8 should be visited before node16\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 9 should be visited before node12\nnode 9 should be visited before node4\nnode 9 should be visited before node15\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node2\nnode 9 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node5\nnode 10 should be visited before node6\nnode 11 should be visited before node14\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 12 should be visited before node4\nnode 12 should be visited before node8\nnode 12 should be visited before node17\nnode 12 should be visited before node2\nnode 12 should be visited before node10\nnode 12 should be visited before node11\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node5\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 13 should be visited before node2\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 13 should be visited before node16\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 14 should be visited before node16\nnode 14 should be visited before node5\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 15 should be visited before node8\nnode 15 should be visited before node13\nnode 15 should be visited before node2\nnode 15 should be visited before node10\nnode 15 should be visited before node14\nnode 15 should be visited before node16\nnode 15 should be visited before node5\nnode 15 should be visited before node6\nnode 16 should be visited before node5\nnode 16 should be visited before node6\nnode 17 should be visited before node2\nnode 17 should be visited before node10\nnode 17 should be visited before node11\nnode 17 should be visited before node14\nnode 17 should be visited before node16\nnode 17 should be visited before node5\nnode 17 should be visited before node6\nnode 17 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,7,1,9,12,4,15,8,13,17,2,10,11,14,16,5,6,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph153",
        "image": "data/topology/graph_visual/medium/graph153.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node0\nnode 3 should be visited before node8\nnode 3 should be visited before node0\nnode 4 should be visited before node2\nnode 4 should be visited before node5\nnode 5 should be visited before node0\nnode 6 should be visited before node9\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node0\nnode 7 should be visited before node10\nnode 7 should be visited before node1\nnode 7 should be visited before node5\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node5\nnode 8 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node4\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 10 should be visited before node1\nnode 10 should be visited before node5\nnode 10 should be visited before node0\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node2\nnode 11 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,9,11,3,4,8,7,2,10,1,5,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph992",
        "image": "data/topology/graph_visual/medium/graph992.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node21\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node17\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 1 should be visited before node20\nnode 1 should be visited before node3\nnode 2 should be visited before node10\nnode 4 should be visited before node19\nnode 4 should be visited before node20\nnode 4 should be visited before node2\nnode 4 should be visited before node10\nnode 5 should be visited before node20\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 9 should be visited before node18\nnode 9 should be visited before node2\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 11 should be visited before node5\nnode 11 should be visited before node18\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node15\nnode 12 should be visited before node2\nnode 12 should be visited before node16\nnode 13 should be visited before node6\nnode 13 should be visited before node19\nnode 13 should be visited before node15\nnode 14 should be visited before node17\nnode 14 should be visited before node4\nnode 14 should be visited before node19\nnode 15 should be visited before node10\nnode 16 should be visited before node8\nnode 16 should be visited before node3\nnode 17 should be visited before node10\nnode 18 should be visited before node2\nnode 18 should be visited before node8\nnode 18 should be visited before node3\nnode 19 should be visited before node20\nnode 19 should be visited before node2\nnode 20 should be visited before node10\nnode 21 should be visited before node6\nnode 21 should be visited before node7\nnode 21 should be visited before node9\nnode 21 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,11,13,21,1,6,7,12,5,14,9,15,17,4,18,16,19,8,3,20,2,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph587",
        "image": "data/topology/graph_visual/medium/graph587.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node6\nnode 0 should be visited before node16\nnode 0 should be visited before node14\nnode 2 should be visited before node16\nnode 2 should be visited before node3\nnode 2 should be visited before node14\nnode 3 should be visited before node14\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node13\nnode 5 should be visited before node0\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node9\nnode 5 should be visited before node12\nnode 5 should be visited before node4\nnode 6 should be visited before node14\nnode 6 should be visited before node1\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 7 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node15\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 8 should be visited before node14\nnode 9 should be visited before node12\nnode 9 should be visited before node4\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 10 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node14\nnode 11 should be visited before node9\nnode 12 should be visited before node4\nnode 13 should be visited before node0\nnode 13 should be visited before node15\nnode 13 should be visited before node16\nnode 13 should be visited before node3\nnode 13 should be visited before node1\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 14 should be visited before node1\nnode 14 should be visited before node12\nnode 14 should be visited before node4\nnode 15 should be visited before node6\nnode 15 should be visited before node2\nnode 15 should be visited before node14\nnode 15 should be visited before node9\nnode 16 should be visited before node3\nnode 16 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,8,11,10,7,13,0,15,6,2,16,3,14,9,1,12,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph1219",
        "image": "data/topology/graph_visual/medium/graph1219.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node4\nnode 0 should be visited before node8\nnode 0 should be visited before node18\nnode 0 should be visited before node16\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 0 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node19\nnode 1 should be visited before node21\nnode 1 should be visited before node17\nnode 1 should be visited before node12\nnode 1 should be visited before node0\nnode 1 should be visited before node16\nnode 1 should be visited before node10\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 2 should be visited before node3\nnode 4 should be visited before node8\nnode 4 should be visited before node16\nnode 4 should be visited before node10\nnode 4 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 5 should be visited before node10\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 6 should be visited before node19\nnode 6 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node20\nnode 6 should be visited before node4\nnode 6 should be visited before node8\nnode 6 should be visited before node18\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 7 should be visited before node3\nnode 8 should be visited before node18\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node3\nnode 9 should be visited before node12\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node3\nnode 11 should be visited before node2\nnode 11 should be visited before node17\nnode 11 should be visited before node0\nnode 11 should be visited before node18\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 11 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node4\nnode 12 should be visited before node8\nnode 12 should be visited before node18\nnode 12 should be visited before node16\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 13 should be visited before node3\nnode 14 should be visited before node1\nnode 14 should be visited before node6\nnode 14 should be visited before node21\nnode 14 should be visited before node23\nnode 14 should be visited before node2\nnode 14 should be visited before node17\nnode 14 should be visited before node9\nnode 14 should be visited before node12\nnode 14 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node10\nnode 15 should be visited before node14\nnode 15 should be visited before node21\nnode 15 should be visited before node23\nnode 15 should be visited before node11\nnode 15 should be visited before node12\nnode 15 should be visited before node20\nnode 15 should be visited before node0\nnode 15 should be visited before node8\nnode 15 should be visited before node18\nnode 15 should be visited before node16\nnode 15 should be visited before node13\nnode 16 should be visited before node5\nnode 16 should be visited before node13\nnode 16 should be visited before node3\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 17 should be visited before node20\nnode 17 should be visited before node8\nnode 17 should be visited before node18\nnode 17 should be visited before node5\nnode 17 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node7\nnode 19 should be visited before node21\nnode 19 should be visited before node23\nnode 19 should be visited before node2\nnode 19 should be visited before node9\nnode 19 should be visited before node0\nnode 19 should be visited before node4\nnode 19 should be visited before node8\nnode 19 should be visited before node18\nnode 19 should be visited before node16\nnode 19 should be visited before node5\nnode 19 should be visited before node10\nnode 19 should be visited before node13\nnode 19 should be visited before node7\nnode 20 should be visited before node0\nnode 20 should be visited before node4\nnode 20 should be visited before node18\nnode 20 should be visited before node5\nnode 20 should be visited before node13\nnode 20 should be visited before node3\nnode 21 should be visited before node23\nnode 21 should be visited before node11\nnode 21 should be visited before node12\nnode 21 should be visited before node20\nnode 21 should be visited before node13\nnode 22 should be visited before node14\nnode 22 should be visited before node19\nnode 22 should be visited before node21\nnode 22 should be visited before node2\nnode 22 should be visited before node9\nnode 22 should be visited before node4\nnode 22 should be visited before node8\nnode 22 should be visited before node16\nnode 22 should be visited before node5\nnode 22 should be visited before node10\nnode 22 should be visited before node13\nnode 22 should be visited before node3\nnode 23 should be visited before node17\nnode 23 should be visited before node9\nnode 23 should be visited before node12\nnode 23 should be visited before node20\nnode 23 should be visited before node4\nnode 23 should be visited before node8\nnode 23 should be visited before node18\nnode 23 should be visited before node16\nnode 23 should be visited before node13\nnode 23 should be visited before node7\nnode 23 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,22,14,1,6,19,21,23,11,2,17,9,12,20,0,4,8,16,18,5,10,7,13,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph726",
        "image": "data/topology/graph_visual/medium/graph726.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 1 should be visited before node13\nnode 1 should be visited before node2\nnode 1 should be visited before node10\nnode 4 should be visited before node6\nnode 4 should be visited before node17\nnode 4 should be visited before node2\nnode 4 should be visited before node0\nnode 5 should be visited before node9\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 6 should be visited before node15\nnode 6 should be visited before node11\nnode 6 should be visited before node17\nnode 6 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node9\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 7 should be visited before node16\nnode 7 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 7 should be visited before node9\nnode 7 should be visited before node0\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 9 should be visited before node12\nnode 10 should be visited before node12\nnode 11 should be visited before node18\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 12 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node14\nnode 13 should be visited before node3\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node12\nnode 15 should be visited before node13\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 16 should be visited before node9\nnode 16 should be visited before node8\nnode 17 should be visited before node13\nnode 17 should be visited before node8\nnode 18 should be visited before node2\nnode 18 should be visited before node5\nnode 18 should be visited before node8\nnode 18 should be visited before node12\nnode 18 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,7,6,16,1,15,11,17,18,13,5,8,2,14,9,10,3,12,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph464",
        "image": "data/topology/graph_visual/medium/graph464.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node9\nnode 0 should be visited before node3\nnode 0 should be visited before node8\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node13\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 7 should be visited before node14\nnode 9 should be visited before node14\nnode 10 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node3\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node6\nnode 11 should be visited before node10\nnode 11 should be visited before node4\nnode 11 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node8\nnode 13 should be visited before node4\nnode 13 should be visited before node8\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node10\nnode 15 should be visited before node7\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 15 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,2,1,12,15,0,5,10,6,9,13,7,3,14,4,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph1241",
        "image": "data/topology/graph_visual/medium/graph1241.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node3\nnode 0 should be visited before node13\nnode 0 should be visited before node14\nnode 0 should be visited before node7\nnode 0 should be visited before node17\nnode 0 should be visited before node10\nnode 0 should be visited before node23\nnode 0 should be visited before node15\nnode 0 should be visited before node18\nnode 0 should be visited before node20\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 1 should be visited before node11\nnode 1 should be visited before node2\nnode 1 should be visited before node9\nnode 2 should be visited before node9\nnode 3 should be visited before node8\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 3 should be visited before node19\nnode 3 should be visited before node4\nnode 3 should be visited before node10\nnode 3 should be visited before node23\nnode 3 should be visited before node6\nnode 3 should be visited before node18\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node9\nnode 4 should be visited before node17\nnode 4 should be visited before node16\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node11\nnode 6 should be visited before node2\nnode 7 should be visited before node19\nnode 7 should be visited before node10\nnode 7 should be visited before node23\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 8 should be visited before node19\nnode 8 should be visited before node4\nnode 8 should be visited before node16\nnode 8 should be visited before node10\nnode 8 should be visited before node15\nnode 8 should be visited before node6\nnode 8 should be visited before node18\nnode 8 should be visited before node11\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node18\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 11 should be visited before node9\nnode 12 should be visited before node21\nnode 12 should be visited before node0\nnode 12 should be visited before node13\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node4\nnode 12 should be visited before node17\nnode 12 should be visited before node23\nnode 12 should be visited before node15\nnode 12 should be visited before node6\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 13 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node7\nnode 13 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node10\nnode 13 should be visited before node23\nnode 13 should be visited before node15\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node20\nnode 13 should be visited before node1\nnode 13 should be visited before node5\nnode 13 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node17\nnode 14 should be visited before node10\nnode 14 should be visited before node23\nnode 14 should be visited before node15\nnode 14 should be visited before node6\nnode 14 should be visited before node18\nnode 14 should be visited before node11\nnode 14 should be visited before node2\nnode 15 should be visited before node6\nnode 15 should be visited before node18\nnode 15 should be visited before node20\nnode 15 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node2\nnode 16 should be visited before node10\nnode 16 should be visited before node6\nnode 16 should be visited before node18\nnode 16 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node5\nnode 16 should be visited before node11\nnode 16 should be visited before node2\nnode 17 should be visited before node10\nnode 17 should be visited before node23\nnode 17 should be visited before node15\nnode 17 should be visited before node6\nnode 17 should be visited before node20\nnode 17 should be visited before node1\nnode 17 should be visited before node5\nnode 18 should be visited before node20\nnode 18 should be visited before node5\nnode 18 should be visited before node2\nnode 18 should be visited before node9\nnode 19 should be visited before node4\nnode 19 should be visited before node17\nnode 19 should be visited before node10\nnode 19 should be visited before node15\nnode 19 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node20\nnode 19 should be visited before node5\nnode 19 should be visited before node11\nnode 19 should be visited before node2\nnode 19 should be visited before node9\nnode 20 should be visited before node1\nnode 21 should be visited before node0\nnode 21 should be visited before node13\nnode 21 should be visited before node14\nnode 21 should be visited before node4\nnode 21 should be visited before node17\nnode 21 should be visited before node16\nnode 21 should be visited before node15\nnode 21 should be visited before node6\nnode 21 should be visited before node18\nnode 21 should be visited before node11\nnode 21 should be visited before node2\nnode 21 should be visited before node9\nnode 22 should be visited before node0\nnode 22 should be visited before node8\nnode 22 should be visited before node7\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node17\nnode 22 should be visited before node16\nnode 22 should be visited before node10\nnode 22 should be visited before node23\nnode 22 should be visited before node15\nnode 22 should be visited before node6\nnode 22 should be visited before node18\nnode 22 should be visited before node20\nnode 22 should be visited before node1\nnode 22 should be visited before node5\nnode 22 should be visited before node11\nnode 22 should be visited before node9\nnode 23 should be visited before node15\nnode 23 should be visited before node6\nnode 23 should be visited before node18\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 23 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,22,21,0,3,13,8,14,7,19,4,17,16,23,10,15,6,18,20,5,1,11,2,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph594",
        "image": "data/topology/graph_visual/medium/graph594.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 4 should be visited before node0\nnode 4 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node15\nnode 5 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 7 should be visited before node13\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 8 should be visited before node4\nnode 8 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node15\nnode 10 should be visited before node4\nnode 10 should be visited before node0\nnode 10 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node15\nnode 11 should be visited before node4\nnode 12 should be visited before node16\nnode 12 should be visited before node3\nnode 12 should be visited before node6\nnode 12 should be visited before node11\nnode 12 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node16\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node1\nnode 13 should be visited before node4\nnode 14 should be visited before node10\nnode 14 should be visited before node9\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node8\nnode 14 should be visited before node4\nnode 14 should be visited before node0\nnode 15 should be visited before node2\nnode 16 should be visited before node3\nnode 16 should be visited before node11\nnode 16 should be visited before node15\nnode 16 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,12,14,13,6,10,16,3,11,5,8,9,4,1,15,0,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph962",
        "image": "data/topology/graph_visual/medium/graph962.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node19\nnode 0 should be visited before node13\nnode 0 should be visited before node4\nnode 0 should be visited before node12\nnode 0 should be visited before node20\nnode 1 should be visited before node18\nnode 2 should be visited before node16\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node10\nnode 2 should be visited before node18\nnode 3 should be visited before node9\nnode 3 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node12\nnode 3 should be visited before node20\nnode 3 should be visited before node10\nnode 3 should be visited before node1\nnode 3 should be visited before node18\nnode 4 should be visited before node12\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node19\nnode 5 should be visited before node16\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node20\nnode 5 should be visited before node10\nnode 6 should be visited before node14\nnode 6 should be visited before node5\nnode 6 should be visited before node7\nnode 6 should be visited before node15\nnode 6 should be visited before node11\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node9\nnode 6 should be visited before node16\nnode 6 should be visited before node13\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node9\nnode 7 should be visited before node19\nnode 7 should be visited before node16\nnode 7 should be visited before node13\nnode 7 should be visited before node12\nnode 7 should be visited before node10\nnode 7 should be visited before node18\nnode 8 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 8 should be visited before node9\nnode 8 should be visited before node16\nnode 8 should be visited before node13\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 10 should be visited before node1\nnode 10 should be visited before node18\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node9\nnode 11 should be visited before node19\nnode 11 should be visited before node16\nnode 11 should be visited before node13\nnode 11 should be visited before node4\nnode 11 should be visited before node12\nnode 11 should be visited before node20\nnode 11 should be visited before node10\nnode 11 should be visited before node1\nnode 11 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node10\nnode 12 should be visited before node18\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node18\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node11\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node19\nnode 14 should be visited before node12\nnode 14 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node19\nnode 15 should be visited before node16\nnode 15 should be visited before node13\nnode 15 should be visited before node4\nnode 15 should be visited before node12\nnode 15 should be visited before node20\nnode 15 should be visited before node10\nnode 15 should be visited before node1\nnode 15 should be visited before node18\nnode 16 should be visited before node12\nnode 16 should be visited before node20\nnode 16 should be visited before node10\nnode 16 should be visited before node1\nnode 17 should be visited before node6\nnode 17 should be visited before node14\nnode 17 should be visited before node5\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 17 should be visited before node11\nnode 17 should be visited before node8\nnode 17 should be visited before node0\nnode 17 should be visited before node2\nnode 17 should be visited before node3\nnode 17 should be visited before node19\nnode 17 should be visited before node16\nnode 17 should be visited before node13\nnode 17 should be visited before node4\nnode 17 should be visited before node12\nnode 17 should be visited before node20\nnode 17 should be visited before node1\nnode 17 should be visited before node18\nnode 19 should be visited before node16\nnode 19 should be visited before node20\nnode 19 should be visited before node10\nnode 19 should be visited before node1\nnode 19 should be visited before node18\nnode 20 should be visited before node10\nnode 20 should be visited before node1\nnode 20 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,6,14,5,15,7,11,8,0,2,3,13,9,4,19,16,12,20,10,1,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph347",
        "image": "data/topology/graph_visual/medium/graph347.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node10\nnode 0 should be visited before node8\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 1 should be visited before node12\nnode 1 should be visited before node13\nnode 1 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 2 should be visited before node12\nnode 2 should be visited before node13\nnode 2 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node13\nnode 4 should be visited before node3\nnode 5 should be visited before node12\nnode 5 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node13\nnode 6 should be visited before node3\nnode 7 should be visited before node2\nnode 7 should be visited before node0\nnode 7 should be visited before node10\nnode 7 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node12\nnode 7 should be visited before node3\nnode 8 should be visited before node12\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 10 should be visited before node12\nnode 10 should be visited before node13\nnode 10 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node0\nnode 11 should be visited before node10\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node3\nnode 12 should be visited before node13\nnode 13 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,4,1,9,7,2,6,0,10,8,5,12,13,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph943",
        "image": "data/topology/graph_visual/medium/graph943.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node11\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 0 should be visited before node14\nnode 0 should be visited before node8\nnode 1 should be visited before node8\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node11\nnode 4 should be visited before node14\nnode 4 should be visited before node8\nnode 5 should be visited before node20\nnode 5 should be visited before node13\nnode 5 should be visited before node19\nnode 5 should be visited before node18\nnode 5 should be visited before node16\nnode 5 should be visited before node15\nnode 5 should be visited before node6\nnode 5 should be visited before node7\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node0\nnode 5 should be visited before node11\nnode 5 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node12\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node8\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node12\nnode 10 should be visited before node1\nnode 10 should be visited before node14\nnode 10 should be visited before node8\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node8\nnode 12 should be visited before node14\nnode 12 should be visited before node8\nnode 13 should be visited before node19\nnode 13 should be visited before node18\nnode 13 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node10\nnode 13 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node14\nnode 14 should be visited before node8\nnode 15 should be visited before node4\nnode 15 should be visited before node6\nnode 15 should be visited before node3\nnode 15 should be visited before node9\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 16 should be visited before node4\nnode 16 should be visited before node6\nnode 16 should be visited before node3\nnode 16 should be visited before node9\nnode 16 should be visited before node0\nnode 16 should be visited before node11\nnode 16 should be visited before node1\nnode 16 should be visited before node14\nnode 17 should be visited before node19\nnode 17 should be visited before node7\nnode 17 should be visited before node10\nnode 17 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node14\nnode 17 should be visited before node8\nnode 18 should be visited before node4\nnode 18 should be visited before node7\nnode 18 should be visited before node3\nnode 18 should be visited before node0\nnode 18 should be visited before node11\nnode 18 should be visited before node12\nnode 18 should be visited before node2\nnode 18 should be visited before node1\nnode 18 should be visited before node14\nnode 19 should be visited before node16\nnode 19 should be visited before node6\nnode 19 should be visited before node10\nnode 19 should be visited before node11\nnode 19 should be visited before node12\nnode 19 should be visited before node1\nnode 19 should be visited before node8\nnode 20 should be visited before node19\nnode 20 should be visited before node18\nnode 20 should be visited before node15\nnode 20 should be visited before node4\nnode 20 should be visited before node6\nnode 20 should be visited before node3\nnode 20 should be visited before node0\nnode 20 should be visited before node11\nnode 20 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,17,20,13,15,19,18,16,4,6,7,10,3,9,0,11,12,2,1,14,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph1270",
        "image": "data/topology/graph_visual/medium/graph1270.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node3\nnode 0 should be visited before node14\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node19\nnode 1 should be visited before node13\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node14\nnode 3 should be visited before node11\nnode 3 should be visited before node24\nnode 3 should be visited before node22\nnode 3 should be visited before node6\nnode 4 should be visited before node20\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node23\nnode 4 should be visited before node17\nnode 4 should be visited before node12\nnode 4 should be visited before node18\nnode 4 should be visited before node24\nnode 4 should be visited before node6\nnode 5 should be visited before node15\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 6 should be visited before node19\nnode 7 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node5\nnode 7 should be visited before node18\nnode 7 should be visited before node21\nnode 7 should be visited before node19\nnode 8 should be visited before node3\nnode 8 should be visited before node10\nnode 8 should be visited before node23\nnode 8 should be visited before node17\nnode 8 should be visited before node12\nnode 8 should be visited before node18\nnode 8 should be visited before node2\nnode 8 should be visited before node24\nnode 8 should be visited before node21\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 9 should be visited before node20\nnode 9 should be visited before node18\nnode 9 should be visited before node21\nnode 9 should be visited before node22\nnode 10 should be visited before node23\nnode 10 should be visited before node18\nnode 10 should be visited before node24\nnode 10 should be visited before node22\nnode 11 should be visited before node12\nnode 11 should be visited before node18\nnode 11 should be visited before node2\nnode 11 should be visited before node24\nnode 11 should be visited before node22\nnode 12 should be visited before node15\nnode 12 should be visited before node18\nnode 12 should be visited before node24\nnode 12 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 13 should be visited before node17\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node15\nnode 13 should be visited before node2\nnode 13 should be visited before node24\nnode 13 should be visited before node22\nnode 13 should be visited before node19\nnode 14 should be visited before node17\nnode 14 should be visited before node11\nnode 14 should be visited before node24\nnode 14 should be visited before node21\nnode 14 should be visited before node22\nnode 15 should be visited before node24\nnode 16 should be visited before node8\nnode 16 should be visited before node3\nnode 16 should be visited before node10\nnode 16 should be visited before node17\nnode 16 should be visited before node2\nnode 16 should be visited before node24\nnode 16 should be visited before node21\nnode 16 should be visited before node6\nnode 17 should be visited before node2\nnode 17 should be visited before node24\nnode 17 should be visited before node22\nnode 18 should be visited before node6\nnode 20 should be visited before node7\nnode 20 should be visited before node10\nnode 20 should be visited before node23\nnode 20 should be visited before node12\nnode 20 should be visited before node18\nnode 20 should be visited before node21\nnode 23 should be visited before node15\nnode 23 should be visited before node2\nnode 23 should be visited before node6\nnode 24 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,9,16,13,4,8,20,7,10,3,14,5,23,17,11,21,12,2,15,18,24,6,22,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph26",
        "image": "data/topology/graph_visual/medium/graph26.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node8\nnode 0 should be visited before node10\nnode 0 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 4 should be visited before node7\nnode 5 should be visited before node8\nnode 5 should be visited before node7\nnode 6 should be visited before node3\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 9 should be visited before node6\nnode 10 should be visited before node9\nnode 10 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,0,8,10,4,1,9,7,6,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph940",
        "image": "data/topology/graph_visual/medium/graph940.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 0 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node13\nnode 1 should be visited before node20\nnode 1 should be visited before node6\nnode 1 should be visited before node19\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node16\nnode 3 should be visited before node19\nnode 4 should be visited before node20\nnode 4 should be visited before node0\nnode 4 should be visited before node19\nnode 5 should be visited before node0\nnode 5 should be visited before node15\nnode 5 should be visited before node19\nnode 6 should be visited before node12\nnode 6 should be visited before node15\nnode 6 should be visited before node2\nnode 6 should be visited before node19\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node20\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node15\nnode 7 should be visited before node19\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node20\nnode 8 should be visited before node11\nnode 8 should be visited before node16\nnode 8 should be visited before node6\nnode 8 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node19\nnode 9 should be visited before node10\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node18\nnode 9 should be visited before node19\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node20\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node0\nnode 11 should be visited before node18\nnode 11 should be visited before node15\nnode 11 should be visited before node19\nnode 12 should be visited before node0\nnode 12 should be visited before node18\nnode 12 should be visited before node19\nnode 13 should be visited before node16\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node18\nnode 13 should be visited before node15\nnode 13 should be visited before node2\nnode 13 should be visited before node19\nnode 14 should be visited before node9\nnode 14 should be visited before node10\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node20\nnode 14 should be visited before node11\nnode 14 should be visited before node6\nnode 14 should be visited before node5\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 14 should be visited before node18\nnode 14 should be visited before node15\nnode 16 should be visited before node5\nnode 16 should be visited before node12\nnode 16 should be visited before node18\nnode 16 should be visited before node15\nnode 16 should be visited before node2\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node3\nnode 17 should be visited before node13\nnode 17 should be visited before node20\nnode 17 should be visited before node16\nnode 17 should be visited before node5\nnode 17 should be visited before node12\nnode 17 should be visited before node18\nnode 20 should be visited before node11\nnode 20 should be visited before node0\nnode 20 should be visited before node18\nnode 20 should be visited before node15\nnode 20 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,14,3,9,10,1,7,8,4,13,20,16,11,6,5,12,0,19,18,15,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph415",
        "image": "data/topology/graph_visual/medium/graph415.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node8\nnode 0 should be visited before node7\nnode 0 should be visited before node14\nnode 0 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 1 should be visited before node9\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 2 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 4 should be visited before node13\nnode 4 should be visited before node5\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 6 should be visited before node1\nnode 6 should be visited before node14\nnode 6 should be visited before node5\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node14\nnode 8 should be visited before node9\nnode 9 should be visited before node5\nnode 10 should be visited before node13\nnode 10 should be visited before node5\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node8\nnode 11 should be visited before node1\nnode 11 should be visited before node9\nnode 11 should be visited before node5\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node13\nnode 12 should be visited before node5\nnode 13 should be visited before node14\nnode 13 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,11,12,2,4,0,3,1,8,10,7,13,9,14,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph12",
        "image": "data/topology/graph_visual/medium/graph12.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node9\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 3 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 5 should be visited before node9\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node0\nnode 9 should be visited before node1\nnode 10 should be visited before node3\nnode 10 should be visited before node5\nnode 10 should be visited before node0\nnode 10 should be visited before node1\nnode 10 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,2,10,3,5,0,7,9,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph1274",
        "image": "data/topology/graph_visual/medium/graph1274.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 1 should be visited before node20\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 2 should be visited before node7\nnode 2 should be visited before node24\nnode 3 should be visited before node19\nnode 3 should be visited before node6\nnode 3 should be visited before node20\nnode 3 should be visited before node22\nnode 3 should be visited before node21\nnode 3 should be visited before node2\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 4 should be visited before node14\nnode 4 should be visited before node24\nnode 6 should be visited before node20\nnode 6 should be visited before node23\nnode 6 should be visited before node15\nnode 6 should be visited before node5\nnode 7 should be visited before node14\nnode 8 should be visited before node17\nnode 8 should be visited before node6\nnode 8 should be visited before node23\nnode 8 should be visited before node15\nnode 8 should be visited before node13\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 10 should be visited before node20\nnode 10 should be visited before node15\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 11 should be visited before node4\nnode 11 should be visited before node24\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 12 should be visited before node20\nnode 12 should be visited before node14\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 13 should be visited before node16\nnode 13 should be visited before node5\nnode 14 should be visited before node24\nnode 14 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node5\nnode 17 should be visited before node20\nnode 17 should be visited before node14\nnode 17 should be visited before node13\nnode 17 should be visited before node9\nnode 18 should be visited before node3\nnode 18 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node6\nnode 18 should be visited before node20\nnode 18 should be visited before node21\nnode 18 should be visited before node23\nnode 18 should be visited before node2\nnode 18 should be visited before node4\nnode 18 should be visited before node14\nnode 19 should be visited before node8\nnode 19 should be visited before node20\nnode 19 should be visited before node7\nnode 19 should be visited before node14\nnode 19 should be visited before node24\nnode 19 should be visited before node16\nnode 20 should be visited before node22\nnode 20 should be visited before node24\nnode 20 should be visited before node13\nnode 21 should be visited before node2\nnode 21 should be visited before node7\nnode 21 should be visited before node14\nnode 21 should be visited before node0\nnode 21 should be visited before node5\nnode 22 should be visited before node23\nnode 22 should be visited before node4\nnode 22 should be visited before node15\nnode 22 should be visited before node14\nnode 22 should be visited before node24\nnode 22 should be visited before node16\nnode 22 should be visited before node5\nnode 23 should be visited before node15\nnode 23 should be visited before node24\nnode 23 should be visited before node0\nnode 23 should be visited before node5\nnode 24 should be visited before node0\nnode 24 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,10,12,18,3,19,21,11,8,2,17,6,20,22,13,23,4,16,15,7,5,14,24,0,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph804",
        "image": "data/topology/graph_visual/medium/graph804.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node14\nnode 0 should be visited before node17\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node11\nnode 1 should be visited before node15\nnode 1 should be visited before node0\nnode 1 should be visited before node7\nnode 1 should be visited before node18\nnode 2 should be visited before node15\nnode 2 should be visited before node10\nnode 2 should be visited before node7\nnode 2 should be visited before node14\nnode 2 should be visited before node17\nnode 2 should be visited before node18\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node17\nnode 4 should be visited before node2\nnode 4 should be visited before node15\nnode 4 should be visited before node10\nnode 4 should be visited before node12\nnode 4 should be visited before node14\nnode 4 should be visited before node17\nnode 4 should be visited before node18\nnode 5 should be visited before node2\nnode 5 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node0\nnode 5 should be visited before node18\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node14\nnode 6 should be visited before node17\nnode 6 should be visited before node18\nnode 7 should be visited before node14\nnode 7 should be visited before node17\nnode 7 should be visited before node18\nnode 8 should be visited before node6\nnode 8 should be visited before node16\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 8 should be visited before node14\nnode 8 should be visited before node17\nnode 8 should be visited before node18\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 9 should be visited before node11\nnode 9 should be visited before node15\nnode 9 should be visited before node10\nnode 9 should be visited before node14\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node17\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node7\nnode 12 should be visited before node17\nnode 12 should be visited before node18\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node9\nnode 13 should be visited before node5\nnode 13 should be visited before node4\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 13 should be visited before node15\nnode 13 should be visited before node12\nnode 13 should be visited before node0\nnode 13 should be visited before node7\nnode 13 should be visited before node14\nnode 13 should be visited before node18\nnode 14 should be visited before node18\nnode 15 should be visited before node12\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node17\nnode 16 should be visited before node1\nnode 16 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node3\nnode 16 should be visited before node15\nnode 16 should be visited before node12\nnode 16 should be visited before node7\nnode 16 should be visited before node14\nnode 16 should be visited before node17\nnode 17 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,8,6,16,1,9,5,4,3,2,11,15,10,12,0,7,14,17,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph82",
        "image": "data/topology/graph_visual/medium/graph82.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 2 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 7 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node3\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 10 should be visited before node9\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,9,6,8,0,5,7,1,3,2,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph975",
        "image": "data/topology/graph_visual/medium/graph975.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 1 should be visited before node2\nnode 1 should be visited before node8\nnode 1 should be visited before node17\nnode 1 should be visited before node0\nnode 2 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node17\nnode 2 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 4 should be visited before node13\nnode 4 should be visited before node12\nnode 4 should be visited before node1\nnode 4 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 5 should be visited before node20\nnode 5 should be visited before node9\nnode 5 should be visited before node16\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node17\nnode 5 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node20\nnode 6 should be visited before node18\nnode 6 should be visited before node9\nnode 6 should be visited before node16\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 6 should be visited before node10\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 8 should be visited before node17\nnode 8 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node13\nnode 9 should be visited before node12\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 10 should be visited before node2\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node17\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 11 should be visited before node8\nnode 11 should be visited before node17\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node17\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 13 should be visited before node12\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 13 should be visited before node8\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node20\nnode 14 should be visited before node18\nnode 14 should be visited before node16\nnode 14 should be visited before node3\nnode 14 should be visited before node4\nnode 14 should be visited before node12\nnode 14 should be visited before node10\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node8\nnode 14 should be visited before node17\nnode 14 should be visited before node0\nnode 15 should be visited before node19\nnode 15 should be visited before node5\nnode 15 should be visited before node20\nnode 15 should be visited before node9\nnode 15 should be visited before node16\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 15 should be visited before node10\nnode 15 should be visited before node2\nnode 15 should be visited before node11\nnode 15 should be visited before node8\nnode 15 should be visited before node17\nnode 15 should be visited before node7\nnode 16 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node10\nnode 16 should be visited before node2\nnode 16 should be visited before node11\nnode 16 should be visited before node8\nnode 16 should be visited before node17\nnode 16 should be visited before node7\nnode 16 should be visited before node0\nnode 17 should be visited before node7\nnode 17 should be visited before node0\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node1\nnode 18 should be visited before node2\nnode 18 should be visited before node11\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 19 should be visited before node14\nnode 19 should be visited before node20\nnode 19 should be visited before node18\nnode 19 should be visited before node9\nnode 19 should be visited before node16\nnode 19 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node12\nnode 19 should be visited before node10\nnode 19 should be visited before node2\nnode 19 should be visited before node11\nnode 19 should be visited before node8\nnode 19 should be visited before node7\nnode 20 should be visited before node18\nnode 20 should be visited before node9\nnode 20 should be visited before node16\nnode 20 should be visited before node3\nnode 20 should be visited before node4\nnode 20 should be visited before node13\nnode 20 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node2\nnode 20 should be visited before node11\nnode 20 should be visited before node8\nnode 20 should be visited before node17\nnode 20 should be visited before node7\nnode 20 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,15,19,14,5,20,18,9,16,3,4,13,12,1,10,2,11,8,17,7,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph393",
        "image": "data/topology/graph_visual/medium/graph393.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 1 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node11\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node14\nnode 4 should be visited before node0\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 5 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node11\nnode 5 should be visited before node12\nnode 6 should be visited before node11\nnode 7 should be visited before node10\nnode 7 should be visited before node0\nnode 7 should be visited before node11\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 8 should be visited before node14\nnode 8 should be visited before node9\nnode 8 should be visited before node10\nnode 8 should be visited before node6\nnode 8 should be visited before node12\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node11\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node1\nnode 11 should be visited before node12\nnode 13 should be visited before node4\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node10\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node0\nnode 14 should be visited before node6\nnode 14 should be visited before node1\nnode 14 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,8,5,13,4,3,7,14,9,10,0,1,6,11,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph339",
        "image": "data/topology/graph_visual/medium/graph339.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node7\nnode 0 should be visited before node5\nnode 0 should be visited before node9\nnode 0 should be visited before node8\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node9\nnode 1 should be visited before node8\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 3 should be visited before node7\nnode 3 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node8\nnode 3 should be visited before node4\nnode 3 should be visited before node6\nnode 4 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node8\nnode 5 should be visited before node4\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node10\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 11 should be visited before node12\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 12 should be visited before node9\nnode 12 should be visited before node8\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 12 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node4\nnode 13 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,13,0,1,3,5,7,11,12,9,8,4,10,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1297",
        "image": "data/topology/graph_visual/medium/graph1297.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node12\nnode 0 should be visited before node13\nnode 0 should be visited before node15\nnode 0 should be visited before node6\nnode 0 should be visited before node16\nnode 0 should be visited before node23\nnode 1 should be visited before node11\nnode 1 should be visited before node12\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 1 should be visited before node20\nnode 2 should be visited before node22\nnode 2 should be visited before node12\nnode 2 should be visited before node8\nnode 2 should be visited before node20\nnode 2 should be visited before node17\nnode 2 should be visited before node23\nnode 3 should be visited before node4\nnode 3 should be visited before node10\nnode 3 should be visited before node15\nnode 3 should be visited before node6\nnode 3 should be visited before node16\nnode 3 should be visited before node17\nnode 3 should be visited before node23\nnode 4 should be visited before node15\nnode 4 should be visited before node6\nnode 4 should be visited before node20\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node24\nnode 5 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node10\nnode 5 should be visited before node8\nnode 5 should be visited before node23\nnode 6 should be visited before node20\nnode 6 should be visited before node16\nnode 6 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node10\nnode 7 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node20\nnode 7 should be visited before node16\nnode 7 should be visited before node17\nnode 8 should be visited before node6\nnode 8 should be visited before node16\nnode 9 should be visited before node1\nnode 9 should be visited before node24\nnode 9 should be visited before node11\nnode 9 should be visited before node22\nnode 9 should be visited before node12\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node20\nnode 9 should be visited before node17\nnode 9 should be visited before node23\nnode 10 should be visited before node16\nnode 10 should be visited before node23\nnode 11 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node20\nnode 11 should be visited before node16\nnode 11 should be visited before node23\nnode 12 should be visited before node13\nnode 12 should be visited before node10\nnode 12 should be visited before node15\nnode 12 should be visited before node8\nnode 12 should be visited before node6\nnode 12 should be visited before node20\nnode 12 should be visited before node23\nnode 13 should be visited before node3\nnode 13 should be visited before node4\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node20\nnode 14 should be visited before node21\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node24\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node12\nnode 14 should be visited before node13\nnode 14 should be visited before node3\nnode 14 should be visited before node10\nnode 14 should be visited before node15\nnode 14 should be visited before node8\nnode 14 should be visited before node6\nnode 14 should be visited before node20\nnode 14 should be visited before node16\nnode 14 should be visited before node23\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node20\nnode 15 should be visited before node23\nnode 16 should be visited before node17\nnode 16 should be visited before node23\nnode 17 should be visited before node23\nnode 18 should be visited before node5\nnode 18 should be visited before node9\nnode 18 should be visited before node1\nnode 18 should be visited before node11\nnode 18 should be visited before node22\nnode 18 should be visited before node0\nnode 18 should be visited before node3\nnode 18 should be visited before node4\nnode 18 should be visited before node10\nnode 18 should be visited before node8\nnode 18 should be visited before node16\nnode 18 should be visited before node23\nnode 19 should be visited before node18\nnode 19 should be visited before node5\nnode 19 should be visited before node9\nnode 19 should be visited before node11\nnode 19 should be visited before node2\nnode 19 should be visited before node13\nnode 19 should be visited before node10\nnode 19 should be visited before node17\nnode 21 should be visited before node18\nnode 21 should be visited before node9\nnode 21 should be visited before node1\nnode 21 should be visited before node11\nnode 21 should be visited before node7\nnode 21 should be visited before node13\nnode 21 should be visited before node10\nnode 21 should be visited before node15\nnode 21 should be visited before node8\nnode 21 should be visited before node6\nnode 22 should be visited before node0\nnode 22 should be visited before node12\nnode 22 should be visited before node13\nnode 22 should be visited before node4\nnode 22 should be visited before node10\nnode 22 should be visited before node6\nnode 22 should be visited before node20\nnode 22 should be visited before node17\nnode 22 should be visited before node23\nnode 24 should be visited before node11\nnode 24 should be visited before node22\nnode 24 should be visited before node0\nnode 24 should be visited before node3\nnode 24 should be visited before node4\nnode 24 should be visited before node10\nnode 24 should be visited before node16\nnode 24 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,19,21,18,5,9,7,1,24,11,2,22,0,12,13,3,4,10,15,8,6,20,16,17,23."
            }
        ]
    },
    {
        "id": "topology-medium-graph956",
        "image": "data/topology/graph_visual/medium/graph956.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node15\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 0 should be visited before node4\nnode 1 should be visited before node19\nnode 1 should be visited before node7\nnode 2 should be visited before node15\nnode 2 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node19\nnode 6 should be visited before node8\nnode 6 should be visited before node16\nnode 6 should be visited before node2\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node3\nnode 8 should be visited before node9\nnode 8 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 9 should be visited before node4\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node15\nnode 10 should be visited before node5\nnode 10 should be visited before node19\nnode 10 should be visited before node14\nnode 10 should be visited before node4\nnode 11 should be visited before node8\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 11 should be visited before node19\nnode 11 should be visited before node7\nnode 12 should be visited before node13\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node16\nnode 12 should be visited before node3\nnode 12 should be visited before node2\nnode 12 should be visited before node0\nnode 12 should be visited before node5\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node4\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 13 should be visited before node19\nnode 13 should be visited before node7\nnode 13 should be visited before node4\nnode 14 should be visited before node7\nnode 14 should be visited before node4\nnode 15 should be visited before node5\nnode 15 should be visited before node1\nnode 15 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node2\nnode 16 should be visited before node15\nnode 16 should be visited before node1\nnode 16 should be visited before node19\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 17 should be visited before node6\nnode 17 should be visited before node12\nnode 17 should be visited before node13\nnode 17 should be visited before node10\nnode 17 should be visited before node16\nnode 17 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node0\nnode 17 should be visited before node15\nnode 17 should be visited before node5\nnode 17 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node10\nnode 18 should be visited before node16\nnode 18 should be visited before node3\nnode 18 should be visited before node9\nnode 18 should be visited before node0\nnode 18 should be visited before node5\nnode 18 should be visited before node19\nnode 18 should be visited before node7\nnode 19 should be visited before node7\nnode 20 should be visited before node17\nnode 20 should be visited before node6\nnode 20 should be visited before node11\nnode 20 should be visited before node13\nnode 20 should be visited before node8\nnode 20 should be visited before node10\nnode 20 should be visited before node3\nnode 20 should be visited before node2\nnode 20 should be visited before node15\nnode 20 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "18,20,17,11,6,12,13,8,0,10,16,9,3,2,15,14,5,4,1,19,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph1136",
        "image": "data/topology/graph_visual/medium/graph1136.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node10\nnode 0 should be visited before node16\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 1 should be visited before node15\nnode 2 should be visited before node11\nnode 2 should be visited before node19\nnode 2 should be visited before node4\nnode 2 should be visited before node22\nnode 2 should be visited before node18\nnode 2 should be visited before node6\nnode 2 should be visited before node15\nnode 3 should be visited before node22\nnode 3 should be visited before node18\nnode 3 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node16\nnode 4 should be visited before node22\nnode 4 should be visited before node0\nnode 4 should be visited before node6\nnode 5 should be visited before node0\nnode 6 should be visited before node16\nnode 6 should be visited before node15\nnode 7 should be visited before node11\nnode 7 should be visited before node19\nnode 7 should be visited before node4\nnode 7 should be visited before node21\nnode 7 should be visited before node8\nnode 7 should be visited before node18\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 7 should be visited before node15\nnode 8 should be visited before node18\nnode 8 should be visited before node16\nnode 8 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node14\nnode 9 should be visited before node22\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node16\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 11 should be visited before node4\nnode 11 should be visited before node22\nnode 11 should be visited before node6\nnode 11 should be visited before node16\nnode 11 should be visited before node15\nnode 12 should be visited before node11\nnode 12 should be visited before node19\nnode 12 should be visited before node14\nnode 12 should be visited before node3\nnode 12 should be visited before node4\nnode 12 should be visited before node21\nnode 12 should be visited before node8\nnode 12 should be visited before node18\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node15\nnode 13 should be visited before node19\nnode 13 should be visited before node22\nnode 13 should be visited before node8\nnode 13 should be visited before node18\nnode 13 should be visited before node5\nnode 13 should be visited before node0\nnode 13 should be visited before node10\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 14 should be visited before node3\nnode 14 should be visited before node4\nnode 14 should be visited before node22\nnode 14 should be visited before node21\nnode 14 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node10\nnode 14 should be visited before node16\nnode 14 should be visited before node1\nnode 14 should be visited before node15\nnode 16 should be visited before node15\nnode 17 should be visited before node7\nnode 17 should be visited before node2\nnode 17 should be visited before node12\nnode 17 should be visited before node13\nnode 17 should be visited before node19\nnode 17 should be visited before node14\nnode 17 should be visited before node21\nnode 17 should be visited before node8\nnode 17 should be visited before node18\nnode 17 should be visited before node10\nnode 18 should be visited before node5\nnode 18 should be visited before node0\nnode 18 should be visited before node15\nnode 19 should be visited before node14\nnode 19 should be visited before node3\nnode 19 should be visited before node22\nnode 19 should be visited before node21\nnode 19 should be visited before node18\nnode 19 should be visited before node5\nnode 19 should be visited before node0\nnode 19 should be visited before node10\nnode 19 should be visited before node6\nnode 20 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node12\nnode 20 should be visited before node19\nnode 20 should be visited before node14\nnode 20 should be visited before node22\nnode 20 should be visited before node21\nnode 20 should be visited before node8\nnode 20 should be visited before node0\nnode 20 should be visited before node6\nnode 20 should be visited before node15\nnode 21 should be visited before node8\nnode 21 should be visited before node5\nnode 21 should be visited before node0\nnode 21 should be visited before node16\nnode 21 should be visited before node1\nnode 21 should be visited before node15\nnode 22 should be visited before node5\nnode 22 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "20,17,9,7,2,12,13,11,19,14,3,4,21,22,8,18,5,0,10,6,1,16,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph298",
        "image": "data/topology/graph_visual/medium/graph298.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 1 should be visited before node11\nnode 1 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node9\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node10\nnode 3 should be visited before node4\nnode 3 should be visited before node10\nnode 4 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node0\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node10\nnode 9 should be visited before node0\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node7\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node0\nnode 13 should be visited before node12\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,6,13,12,8,2,11,3,9,7,5,4,0,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph178",
        "image": "data/topology/graph_visual/medium/graph178.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node8\nnode 3 should be visited before node9\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node1\nnode 4 should be visited before node0\nnode 5 should be visited before node8\nnode 5 should be visited before node9\nnode 5 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node11\nnode 7 should be visited before node8\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node0\nnode 8 should be visited before node2\nnode 9 should be visited before node0\nnode 9 should be visited before node2\nnode 10 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node9\nnode 11 should be visited before node1\nnode 11 should be visited before node0\nnode 11 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,10,3,4,6,11,5,8,9,1,0,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph363",
        "image": "data/topology/graph_visual/medium/graph363.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 7 should be visited before node14\nnode 7 should be visited before node2\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 8 should be visited before node11\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 9 should be visited before node0\nnode 10 should be visited before node14\nnode 10 should be visited before node4\nnode 11 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node2\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 12 should be visited before node4\nnode 13 should be visited before node4\nnode 14 should be visited before node6\nnode 14 should be visited before node9\nnode 14 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,3,10,12,13,7,14,2,8,6,9,11,4,0,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph206",
        "image": "data/topology/graph_visual/medium/graph206.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node9\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node12\nnode 1 should be visited before node3\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 1 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 3 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 6 should be visited before node10\nnode 6 should be visited before node11\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 7 should be visited before node5\nnode 8 should be visited before node12\nnode 9 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 9 should be visited before node5\nnode 10 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,9,2,1,6,7,10,11,8,3,12,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph719",
        "image": "data/topology/graph_visual/medium/graph719.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node3\nnode 1 should be visited before node2\nnode 1 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node17\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node12\nnode 1 should be visited before node11\nnode 1 should be visited before node16\nnode 1 should be visited before node15\nnode 1 should be visited before node14\nnode 1 should be visited before node0\nnode 2 should be visited before node10\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 4 should be visited before node5\nnode 4 should be visited before node16\nnode 4 should be visited before node15\nnode 4 should be visited before node6\nnode 4 should be visited before node14\nnode 4 should be visited before node0\nnode 4 should be visited before node3\nnode 5 should be visited before node12\nnode 5 should be visited before node11\nnode 5 should be visited before node16\nnode 5 should be visited before node8\nnode 5 should be visited before node6\nnode 5 should be visited before node14\nnode 5 should be visited before node0\nnode 6 should be visited before node14\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 7 should be visited before node12\nnode 7 should be visited before node11\nnode 7 should be visited before node16\nnode 7 should be visited before node15\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node5\nnode 9 should be visited before node12\nnode 9 should be visited before node11\nnode 9 should be visited before node16\nnode 9 should be visited before node15\nnode 9 should be visited before node8\nnode 9 should be visited before node14\nnode 9 should be visited before node3\nnode 10 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node16\nnode 10 should be visited before node15\nnode 10 should be visited before node8\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node0\nnode 11 should be visited before node3\nnode 12 should be visited before node11\nnode 12 should be visited before node15\nnode 12 should be visited before node8\nnode 12 should be visited before node14\nnode 12 should be visited before node3\nnode 13 should be visited before node4\nnode 13 should be visited before node5\nnode 13 should be visited before node7\nnode 13 should be visited before node11\nnode 13 should be visited before node16\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 13 should be visited before node0\nnode 13 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 15 should be visited before node3\nnode 16 should be visited before node15\nnode 16 should be visited before node8\nnode 16 should be visited before node0\nnode 16 should be visited before node3\nnode 17 should be visited before node4\nnode 17 should be visited before node5\nnode 17 should be visited before node12\nnode 17 should be visited before node11\nnode 17 should be visited before node14\nnode 17 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,9,10,17,13,4,7,5,12,16,11,15,8,6,14,0,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph432",
        "image": "data/topology/graph_visual/medium/graph432.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 1 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 3 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 5 should be visited before node11\nnode 5 should be visited before node8\nnode 5 should be visited before node13\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 7 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node8\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 9 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 11 should be visited before node8\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 11 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node8\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 12 should be visited before node4\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node6\nnode 13 should be visited before node3\nnode 13 should be visited before node1\nnode 13 should be visited before node7\nnode 13 should be visited before node0\nnode 14 should be visited before node8\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 14 should be visited before node1\nnode 14 should be visited before node7\nnode 14 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,12,14,5,10,11,8,13,2,6,3,4,1,7,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph492",
        "image": "data/topology/graph_visual/medium/graph492.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 1 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 1 should be visited before node4\nnode 1 should be visited before node10\nnode 1 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node12\nnode 3 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 5 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node14\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 6 should be visited before node2\nnode 6 should be visited before node4\nnode 6 should be visited before node14\nnode 6 should be visited before node7\nnode 6 should be visited before node12\nnode 6 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node15\nnode 8 should be visited before node2\nnode 8 should be visited before node13\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 9 should be visited before node10\nnode 9 should be visited before node7\nnode 9 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 11 should be visited before node9\nnode 11 should be visited before node6\nnode 11 should be visited before node15\nnode 11 should be visited before node13\nnode 11 should be visited before node14\nnode 11 should be visited before node7\nnode 11 should be visited before node12\nnode 11 should be visited before node0\nnode 12 should be visited before node0\nnode 13 should be visited before node4\nnode 13 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 15 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node13\nnode 15 should be visited before node4\nnode 15 should be visited before node10\nnode 15 should be visited before node14\nnode 15 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,5,8,11,9,6,15,3,10,2,14,13,4,7,12,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph654",
        "image": "data/topology/graph_visual/medium/graph654.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node12\nnode 0 should be visited before node5\nnode 0 should be visited before node16\nnode 0 should be visited before node17\nnode 0 should be visited before node13\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 0 should be visited before node15\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 2 should be visited before node11\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node15\nnode 5 should be visited before node17\nnode 5 should be visited before node2\nnode 5 should be visited before node6\nnode 8 should be visited before node1\nnode 8 should be visited before node3\nnode 8 should be visited before node17\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node6\nnode 9 should be visited before node15\nnode 10 should be visited before node15\nnode 12 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node13\nnode 12 should be visited before node4\nnode 12 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node3\nnode 14 should be visited before node17\nnode 14 should be visited before node11\nnode 14 should be visited before node4\nnode 14 should be visited before node9\nnode 14 should be visited before node7\nnode 15 should be visited before node7\nnode 16 should be visited before node15\nnode 17 should be visited before node2\nnode 17 should be visited before node11\nnode 17 should be visited before node13\nnode 17 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,14,12,16,8,5,1,3,17,6,4,10,9,2,13,15,11,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph1281",
        "image": "data/topology/graph_visual/medium/graph1281.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node1\nnode 0 should be visited before node23\nnode 0 should be visited before node24\nnode 0 should be visited before node9\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node16\nnode 1 should be visited before node22\nnode 1 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node16\nnode 2 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node6\nnode 2 should be visited before node13\nnode 2 should be visited before node16\nnode 3 should be visited before node16\nnode 4 should be visited before node0\nnode 4 should be visited before node22\nnode 4 should be visited before node19\nnode 5 should be visited before node23\nnode 5 should be visited before node18\nnode 5 should be visited before node24\nnode 5 should be visited before node15\nnode 5 should be visited before node13\nnode 5 should be visited before node16\nnode 6 should be visited before node16\nnode 7 should be visited before node5\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 8 should be visited before node0\nnode 8 should be visited before node1\nnode 8 should be visited before node18\nnode 8 should be visited before node19\nnode 8 should be visited before node17\nnode 8 should be visited before node6\nnode 8 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node16\nnode 10 should be visited before node14\nnode 10 should be visited before node8\nnode 10 should be visited before node7\nnode 10 should be visited before node17\nnode 10 should be visited before node3\nnode 10 should be visited before node15\nnode 10 should be visited before node13\nnode 11 should be visited before node7\nnode 11 should be visited before node12\nnode 11 should be visited before node1\nnode 11 should be visited before node19\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 12 should be visited before node0\nnode 12 should be visited before node5\nnode 12 should be visited before node22\nnode 12 should be visited before node24\nnode 14 should be visited before node11\nnode 14 should be visited before node21\nnode 14 should be visited before node23\nnode 14 should be visited before node24\nnode 14 should be visited before node9\nnode 14 should be visited before node3\nnode 14 should be visited before node15\nnode 14 should be visited before node6\nnode 15 should be visited before node16\nnode 17 should be visited before node15\nnode 17 should be visited before node6\nnode 17 should be visited before node16\nnode 18 should be visited before node24\nnode 18 should be visited before node19\nnode 18 should be visited before node15\nnode 19 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node6\nnode 19 should be visited before node13\nnode 20 should be visited before node9\nnode 20 should be visited before node6\nnode 20 should be visited before node16\nnode 21 should be visited before node23\nnode 21 should be visited before node17\nnode 22 should be visited before node23\nnode 22 should be visited before node9\nnode 22 should be visited before node3\nnode 22 should be visited before node15\nnode 22 should be visited before node13\nnode 23 should be visited before node18\nnode 23 should be visited before node20\nnode 23 should be visited before node9\nnode 23 should be visited before node15\nnode 24 should be visited before node17\nnode 24 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,10,4,14,8,11,21,7,12,0,5,1,22,23,3,18,24,19,20,13,9,17,15,6,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph559",
        "image": "data/topology/graph_visual/medium/graph559.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node1\nnode 0 should be visited before node11\nnode 0 should be visited before node14\nnode 1 should be visited before node9\nnode 1 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node14\nnode 4 should be visited before node16\nnode 4 should be visited before node7\nnode 4 should be visited before node1\nnode 5 should be visited before node6\nnode 5 should be visited before node13\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node9\nnode 6 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node14\nnode 8 should be visited before node16\nnode 8 should be visited before node5\nnode 8 should be visited before node7\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node14\nnode 9 should be visited before node14\nnode 11 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node10\nnode 13 should be visited before node3\nnode 13 should be visited before node15\nnode 15 should be visited before node11\nnode 16 should be visited before node12\nnode 16 should be visited before node5\nnode 16 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node9\nnode 16 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,16,7,12,5,10,6,13,0,3,1,15,9,11,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph1328",
        "image": "data/topology/graph_visual/medium/graph1328.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node7\nnode 0 should be visited before node5\nnode 0 should be visited before node24\nnode 0 should be visited before node18\nnode 0 should be visited before node22\nnode 0 should be visited before node3\nnode 0 should be visited before node8\nnode 0 should be visited before node23\nnode 0 should be visited before node15\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 1 should be visited before node14\nnode 1 should be visited before node20\nnode 2 should be visited before node12\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 2 should be visited before node10\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node22\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node23\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node20\nnode 3 should be visited before node8\nnode 3 should be visited before node23\nnode 3 should be visited before node15\nnode 3 should be visited before node14\nnode 4 should be visited before node24\nnode 4 should be visited before node18\nnode 4 should be visited before node19\nnode 4 should be visited before node22\nnode 4 should be visited before node23\nnode 4 should be visited before node15\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node14\nnode 4 should be visited before node20\nnode 5 should be visited before node24\nnode 5 should be visited before node18\nnode 5 should be visited before node22\nnode 5 should be visited before node3\nnode 5 should be visited before node23\nnode 5 should be visited before node15\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node20\nnode 6 should be visited before node2\nnode 6 should be visited before node12\nnode 6 should be visited before node17\nnode 6 should be visited before node11\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node19\nnode 6 should be visited before node22\nnode 6 should be visited before node3\nnode 6 should be visited before node8\nnode 6 should be visited before node15\nnode 6 should be visited before node1\nnode 6 should be visited before node20\nnode 7 should be visited before node5\nnode 7 should be visited before node24\nnode 7 should be visited before node18\nnode 7 should be visited before node22\nnode 7 should be visited before node3\nnode 7 should be visited before node23\nnode 7 should be visited before node1\nnode 7 should be visited before node14\nnode 8 should be visited before node23\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node20\nnode 10 should be visited before node5\nnode 10 should be visited before node4\nnode 10 should be visited before node19\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node23\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node14\nnode 10 should be visited before node20\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 11 should be visited before node22\nnode 11 should be visited before node8\nnode 11 should be visited before node9\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node10\nnode 12 should be visited before node5\nnode 12 should be visited before node4\nnode 12 should be visited before node24\nnode 12 should be visited before node18\nnode 12 should be visited before node19\nnode 12 should be visited before node22\nnode 12 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node23\nnode 12 should be visited before node9\nnode 12 should be visited before node1\nnode 12 should be visited before node20\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 13 should be visited before node17\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 13 should be visited before node4\nnode 13 should be visited before node24\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 13 should be visited before node22\nnode 13 should be visited before node23\nnode 13 should be visited before node15\nnode 13 should be visited before node9\nnode 13 should be visited before node20\nnode 15 should be visited before node1\nnode 15 should be visited before node14\nnode 16 should be visited before node21\nnode 16 should be visited before node13\nnode 16 should be visited before node2\nnode 16 should be visited before node12\nnode 16 should be visited before node11\nnode 16 should be visited before node0\nnode 16 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node24\nnode 16 should be visited before node19\nnode 16 should be visited before node8\nnode 16 should be visited before node23\nnode 16 should be visited before node15\nnode 16 should be visited before node9\nnode 16 should be visited before node1\nnode 16 should be visited before node14\nnode 16 should be visited before node20\nnode 17 should be visited before node11\nnode 17 should be visited before node0\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node24\nnode 17 should be visited before node18\nnode 17 should be visited before node19\nnode 17 should be visited before node22\nnode 17 should be visited before node3\nnode 17 should be visited before node23\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 17 should be visited before node14\nnode 17 should be visited before node20\nnode 18 should be visited before node3\nnode 18 should be visited before node8\nnode 18 should be visited before node23\nnode 18 should be visited before node15\nnode 18 should be visited before node14\nnode 19 should be visited before node22\nnode 19 should be visited before node3\nnode 19 should be visited before node8\nnode 19 should be visited before node23\nnode 19 should be visited before node15\nnode 19 should be visited before node9\nnode 19 should be visited before node1\nnode 19 should be visited before node14\nnode 19 should be visited before node20\nnode 21 should be visited before node13\nnode 21 should be visited before node6\nnode 21 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node11\nnode 21 should be visited before node0\nnode 21 should be visited before node10\nnode 21 should be visited before node7\nnode 21 should be visited before node5\nnode 21 should be visited before node4\nnode 21 should be visited before node18\nnode 21 should be visited before node22\nnode 21 should be visited before node3\nnode 21 should be visited before node8\nnode 21 should be visited before node23\nnode 21 should be visited before node15\nnode 21 should be visited before node9\nnode 21 should be visited before node14\nnode 21 should be visited before node20\nnode 22 should be visited before node3\nnode 22 should be visited before node8\nnode 22 should be visited before node23\nnode 22 should be visited before node15\nnode 22 should be visited before node14\nnode 22 should be visited before node20\nnode 23 should be visited before node15\nnode 23 should be visited before node1\nnode 23 should be visited before node14\nnode 23 should be visited before node20\nnode 24 should be visited before node18\nnode 24 should be visited before node22\nnode 24 should be visited before node3\nnode 24 should be visited before node8\nnode 24 should be visited before node15\nnode 24 should be visited before node9\nnode 24 should be visited before node1\nnode 24 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,21,13,6,2,12,17,11,0,10,7,4,5,19,24,18,22,3,8,23,9,15,1,14,20."
            }
        ]
    },
    {
        "id": "topology-medium-graph1258",
        "image": "data/topology/graph_visual/medium/graph1258.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node23\nnode 0 should be visited before node16\nnode 0 should be visited before node11\nnode 0 should be visited before node17\nnode 0 should be visited before node2\nnode 0 should be visited before node20\nnode 0 should be visited before node15\nnode 0 should be visited before node18\nnode 0 should be visited before node7\nnode 1 should be visited before node12\nnode 1 should be visited before node9\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node22\nnode 1 should be visited before node0\nnode 1 should be visited before node23\nnode 1 should be visited before node16\nnode 1 should be visited before node11\nnode 1 should be visited before node17\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node2\nnode 1 should be visited before node20\nnode 1 should be visited before node15\nnode 1 should be visited before node18\nnode 2 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node19\nnode 3 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node18\nnode 3 should be visited before node7\nnode 3 should be visited before node19\nnode 4 should be visited before node6\nnode 4 should be visited before node22\nnode 4 should be visited before node0\nnode 4 should be visited before node21\nnode 4 should be visited before node11\nnode 4 should be visited before node10\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 4 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node19\nnode 5 should be visited before node8\nnode 5 should be visited before node12\nnode 5 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node6\nnode 5 should be visited before node22\nnode 5 should be visited before node0\nnode 5 should be visited before node13\nnode 5 should be visited before node23\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node2\nnode 5 should be visited before node20\nnode 5 should be visited before node18\nnode 5 should be visited before node7\nnode 5 should be visited before node19\nnode 6 should be visited before node22\nnode 6 should be visited before node0\nnode 6 should be visited before node13\nnode 6 should be visited before node23\nnode 6 should be visited before node16\nnode 6 should be visited before node11\nnode 6 should be visited before node17\nnode 6 should be visited before node10\nnode 6 should be visited before node3\nnode 6 should be visited before node15\nnode 6 should be visited before node18\nnode 6 should be visited before node7\nnode 6 should be visited before node19\nnode 7 should be visited before node19\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 8 should be visited before node14\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node13\nnode 8 should be visited before node23\nnode 8 should be visited before node16\nnode 8 should be visited before node11\nnode 8 should be visited before node17\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node15\nnode 8 should be visited before node18\nnode 9 should be visited before node4\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node13\nnode 9 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node17\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node2\nnode 9 should be visited before node20\nnode 9 should be visited before node15\nnode 9 should be visited before node18\nnode 9 should be visited before node7\nnode 9 should be visited before node19\nnode 10 should be visited before node2\nnode 10 should be visited before node20\nnode 10 should be visited before node15\nnode 11 should be visited before node17\nnode 11 should be visited before node10\nnode 11 should be visited before node2\nnode 11 should be visited before node19\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node0\nnode 12 should be visited before node13\nnode 12 should be visited before node23\nnode 12 should be visited before node16\nnode 12 should be visited before node11\nnode 12 should be visited before node17\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 12 should be visited before node2\nnode 12 should be visited before node20\nnode 12 should be visited before node15\nnode 12 should be visited before node19\nnode 13 should be visited before node21\nnode 13 should be visited before node23\nnode 13 should be visited before node16\nnode 13 should be visited before node11\nnode 13 should be visited before node17\nnode 13 should be visited before node10\nnode 13 should be visited before node3\nnode 13 should be visited before node20\nnode 13 should be visited before node7\nnode 14 should be visited before node6\nnode 14 should be visited before node22\nnode 14 should be visited before node0\nnode 14 should be visited before node11\nnode 14 should be visited before node17\nnode 14 should be visited before node2\nnode 14 should be visited before node20\nnode 14 should be visited before node15\nnode 14 should be visited before node18\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 15 should be visited before node18\nnode 15 should be visited before node7\nnode 15 should be visited before node19\nnode 16 should be visited before node11\nnode 16 should be visited before node17\nnode 16 should be visited before node10\nnode 16 should be visited before node2\nnode 16 should be visited before node20\nnode 16 should be visited before node15\nnode 16 should be visited before node18\nnode 16 should be visited before node7\nnode 17 should be visited before node3\nnode 17 should be visited before node2\nnode 17 should be visited before node20\nnode 17 should be visited before node15\nnode 17 should be visited before node18\nnode 17 should be visited before node7\nnode 17 should be visited before node19\nnode 18 should be visited before node7\nnode 20 should be visited before node15\nnode 20 should be visited before node18\nnode 20 should be visited before node19\nnode 21 should be visited before node23\nnode 21 should be visited before node16\nnode 21 should be visited before node11\nnode 21 should be visited before node17\nnode 21 should be visited before node20\nnode 21 should be visited before node15\nnode 21 should be visited before node18\nnode 21 should be visited before node7\nnode 22 should be visited before node0\nnode 22 should be visited before node13\nnode 22 should be visited before node21\nnode 22 should be visited before node16\nnode 22 should be visited before node11\nnode 22 should be visited before node17\nnode 22 should be visited before node10\nnode 22 should be visited before node2\nnode 22 should be visited before node20\nnode 22 should be visited before node18\nnode 22 should be visited before node7\nnode 22 should be visited before node19\nnode 23 should be visited before node2\nnode 23 should be visited before node20\nnode 23 should be visited before node15\nnode 23 should be visited before node18\nnode 23 should be visited before node7\nnode 23 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,8,1,12,9,4,14,6,22,0,13,21,23,16,11,17,10,3,20,2,15,18,7,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph223",
        "image": "data/topology/graph_visual/medium/graph223.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node12\nnode 0 should be visited before node11\nnode 1 should be visited before node12\nnode 1 should be visited before node11\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 2 should be visited before node11\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node12\nnode 5 should be visited before node10\nnode 5 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node12\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node12\nnode 7 should be visited before node10\nnode 7 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node9\nnode 8 should be visited before node11\nnode 10 should be visited before node4\nnode 12 should be visited before node10\nnode 12 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,6,7,8,5,2,1,0,9,12,11,10,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph699",
        "image": "data/topology/graph_visual/medium/graph699.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node6\nnode 0 should be visited before node1\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 0 should be visited before node8\nnode 0 should be visited before node10\nnode 0 should be visited before node17\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 1 should be visited before node15\nnode 1 should be visited before node3\nnode 1 should be visited before node12\nnode 1 should be visited before node16\nnode 1 should be visited before node8\nnode 1 should be visited before node10\nnode 1 should be visited before node17\nnode 1 should be visited before node9\nnode 1 should be visited before node11\nnode 1 should be visited before node5\nnode 1 should be visited before node13\nnode 2 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node14\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node5\nnode 2 should be visited before node13\nnode 3 should be visited before node12\nnode 3 should be visited before node16\nnode 3 should be visited before node10\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 3 should be visited before node13\nnode 4 should be visited before node9\nnode 4 should be visited before node11\nnode 4 should be visited before node13\nnode 5 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node14\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node4\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 7 should be visited before node17\nnode 7 should be visited before node9\nnode 7 should be visited before node11\nnode 7 should be visited before node13\nnode 8 should be visited before node10\nnode 8 should be visited before node7\nnode 8 should be visited before node17\nnode 8 should be visited before node9\nnode 8 should be visited before node11\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node17\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 11 should be visited before node5\nnode 11 should be visited before node13\nnode 12 should be visited before node16\nnode 12 should be visited before node8\nnode 12 should be visited before node7\nnode 12 should be visited before node17\nnode 12 should be visited before node4\nnode 12 should be visited before node11\nnode 12 should be visited before node13\nnode 14 should be visited before node15\nnode 14 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node7\nnode 14 should be visited before node17\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node5\nnode 15 should be visited before node3\nnode 15 should be visited before node12\nnode 15 should be visited before node8\nnode 15 should be visited before node10\nnode 15 should be visited before node7\nnode 15 should be visited before node17\nnode 15 should be visited before node4\nnode 15 should be visited before node9\nnode 15 should be visited before node11\nnode 15 should be visited before node5\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 16 should be visited before node17\nnode 16 should be visited before node4\nnode 16 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node13\nnode 17 should be visited before node4\nnode 17 should be visited before node11\nnode 17 should be visited before node5\nnode 17 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,0,6,1,14,15,3,12,16,8,10,7,17,4,9,11,5,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph1148",
        "image": "data/topology/graph_visual/medium/graph1148.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node14\nnode 0 should be visited before node21\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node20\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node15\nnode 0 should be visited before node5\nnode 0 should be visited before node19\nnode 0 should be visited before node8\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 1 should be visited before node3\nnode 1 should be visited before node20\nnode 1 should be visited before node18\nnode 1 should be visited before node6\nnode 1 should be visited before node22\nnode 1 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node19\nnode 1 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node20\nnode 2 should be visited before node18\nnode 2 should be visited before node22\nnode 2 should be visited before node15\nnode 2 should be visited before node19\nnode 2 should be visited before node8\nnode 2 should be visited before node17\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node22\nnode 3 should be visited before node5\nnode 3 should be visited before node19\nnode 3 should be visited before node17\nnode 3 should be visited before node4\nnode 5 should be visited before node19\nnode 5 should be visited before node8\nnode 5 should be visited before node10\nnode 6 should be visited before node22\nnode 6 should be visited before node5\nnode 6 should be visited before node19\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node4\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node22\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node19\nnode 7 should be visited before node8\nnode 7 should be visited before node17\nnode 7 should be visited before node10\nnode 7 should be visited before node4\nnode 8 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 9 should be visited before node6\nnode 9 should be visited before node22\nnode 9 should be visited before node15\nnode 9 should be visited before node19\nnode 9 should be visited before node8\nnode 9 should be visited before node17\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 10 should be visited before node4\nnode 11 should be visited before node13\nnode 11 should be visited before node0\nnode 11 should be visited before node14\nnode 11 should be visited before node21\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node20\nnode 11 should be visited before node6\nnode 11 should be visited before node15\nnode 11 should be visited before node5\nnode 11 should be visited before node19\nnode 11 should be visited before node8\nnode 11 should be visited before node17\nnode 11 should be visited before node4\nnode 12 should be visited before node9\nnode 12 should be visited before node11\nnode 12 should be visited before node13\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node1\nnode 12 should be visited before node3\nnode 12 should be visited before node22\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node19\nnode 12 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node21\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node20\nnode 13 should be visited before node18\nnode 13 should be visited before node22\nnode 13 should be visited before node5\nnode 13 should be visited before node19\nnode 13 should be visited before node8\nnode 13 should be visited before node10\nnode 14 should be visited before node21\nnode 14 should be visited before node1\nnode 14 should be visited before node3\nnode 14 should be visited before node20\nnode 14 should be visited before node7\nnode 14 should be visited before node22\nnode 14 should be visited before node5\nnode 14 should be visited before node19\nnode 14 should be visited before node8\nnode 14 should be visited before node17\nnode 14 should be visited before node10\nnode 15 should be visited before node5\nnode 15 should be visited before node19\nnode 15 should be visited before node8\nnode 15 should be visited before node17\nnode 15 should be visited before node4\nnode 16 should be visited before node9\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 16 should be visited before node2\nnode 16 should be visited before node1\nnode 16 should be visited before node3\nnode 16 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node18\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node17\nnode 16 should be visited before node10\nnode 16 should be visited before node4\nnode 17 should be visited before node10\nnode 17 should be visited before node4\nnode 18 should be visited before node22\nnode 18 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 18 should be visited before node10\nnode 18 should be visited before node4\nnode 19 should be visited before node8\nnode 19 should be visited before node10\nnode 20 should be visited before node7\nnode 20 should be visited before node15\nnode 20 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node8\nnode 20 should be visited before node17\nnode 21 should be visited before node2\nnode 21 should be visited before node20\nnode 21 should be visited before node7\nnode 21 should be visited before node18\nnode 21 should be visited before node22\nnode 21 should be visited before node15\nnode 21 should be visited before node19\nnode 21 should be visited before node17\nnode 21 should be visited before node10\nnode 22 should be visited before node5\nnode 22 should be visited before node19\nnode 22 should be visited before node17\nnode 22 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,16,9,11,13,0,14,21,2,1,3,20,7,18,6,15,22,5,17,19,8,10,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph83",
        "image": "data/topology/graph_visual/medium/graph83.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node10\nnode 0 should be visited before node9\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node6\nnode 5 should be visited before node8\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node10\nnode 5 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node6\nnode 10 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,5,8,7,2,0,10,9,6,4,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph257",
        "image": "data/topology/graph_visual/medium/graph257.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 1 should be visited before node9\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 2 should be visited before node3\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 5 should be visited before node4\nnode 5 should be visited before node12\nnode 5 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 8 should be visited before node10\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node7\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node12\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node2\nnode 11 should be visited before node10\nnode 11 should be visited before node1\nnode 11 should be visited before node9\nnode 11 should be visited before node0\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 12 should be visited before node2\nnode 12 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,11,10,1,9,6,7,0,5,4,12,2,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph1092",
        "image": "data/topology/graph_visual/medium/graph1092.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node22\nnode 0 should be visited before node14\nnode 0 should be visited before node21\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 1 should be visited before node2\nnode 1 should be visited before node17\nnode 3 should be visited before node20\nnode 3 should be visited before node5\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 3 should be visited before node17\nnode 3 should be visited before node6\nnode 4 should be visited before node20\nnode 4 should be visited before node0\nnode 4 should be visited before node13\nnode 4 should be visited before node12\nnode 4 should be visited before node6\nnode 5 should be visited before node21\nnode 5 should be visited before node16\nnode 5 should be visited before node6\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 8 should be visited before node10\nnode 8 should be visited before node14\nnode 8 should be visited before node16\nnode 8 should be visited before node2\nnode 8 should be visited before node17\nnode 9 should be visited before node14\nnode 9 should be visited before node21\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 10 should be visited before node4\nnode 10 should be visited before node20\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node12\nnode 10 should be visited before node15\nnode 11 should be visited before node6\nnode 13 should be visited before node21\nnode 13 should be visited before node7\nnode 13 should be visited before node11\nnode 14 should be visited before node21\nnode 14 should be visited before node6\nnode 15 should be visited before node6\nnode 16 should be visited before node7\nnode 18 should be visited before node8\nnode 18 should be visited before node0\nnode 18 should be visited before node22\nnode 18 should be visited before node14\nnode 18 should be visited before node21\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 18 should be visited before node12\nnode 19 should be visited before node8\nnode 19 should be visited before node10\nnode 19 should be visited before node22\nnode 19 should be visited before node14\nnode 19 should be visited before node7\nnode 19 should be visited before node11\nnode 19 should be visited before node12\nnode 19 should be visited before node1\nnode 19 should be visited before node6\nnode 20 should be visited before node5\nnode 20 should be visited before node13\nnode 20 should be visited before node9\nnode 20 should be visited before node11\nnode 20 should be visited before node12\nnode 20 should be visited before node15\nnode 21 should be visited before node7\nnode 21 should be visited before node1\nnode 21 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node15\nnode 22 should be visited before node14\nnode 22 should be visited before node16\nnode 22 should be visited before node11\nnode 22 should be visited before node1\nnode 22 should be visited before node2\nnode 22 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,18,19,8,10,4,20,0,5,13,9,12,22,14,16,11,21,7,15,1,6,2,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph1302",
        "image": "data/topology/graph_visual/medium/graph1302.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node17\nnode 0 should be visited before node12\nnode 0 should be visited before node21\nnode 0 should be visited before node13\nnode 0 should be visited before node11\nnode 1 should be visited before node17\nnode 1 should be visited before node24\nnode 1 should be visited before node13\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 2 should be visited before node1\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node17\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 3 should be visited before node15\nnode 3 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node24\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node13\nnode 5 should be visited before node22\nnode 5 should be visited before node23\nnode 5 should be visited before node15\nnode 5 should be visited before node20\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node17\nnode 5 should be visited before node21\nnode 5 should be visited before node9\nnode 6 should be visited before node22\nnode 6 should be visited before node23\nnode 6 should be visited before node2\nnode 6 should be visited before node20\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node17\nnode 6 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 7 should be visited before node23\nnode 7 should be visited before node18\nnode 7 should be visited before node15\nnode 7 should be visited before node2\nnode 7 should be visited before node20\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node21\nnode 7 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node18\nnode 8 should be visited before node14\nnode 8 should be visited before node15\nnode 8 should be visited before node16\nnode 8 should be visited before node19\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 8 should be visited before node13\nnode 9 should be visited before node13\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node7\nnode 10 should be visited before node22\nnode 10 should be visited before node15\nnode 10 should be visited before node20\nnode 10 should be visited before node0\nnode 10 should be visited before node17\nnode 10 should be visited before node24\nnode 10 should be visited before node21\nnode 10 should be visited before node9\nnode 10 should be visited before node13\nnode 10 should be visited before node11\nnode 12 should be visited before node24\nnode 12 should be visited before node21\nnode 12 should be visited before node11\nnode 13 should be visited before node11\nnode 14 should be visited before node20\nnode 14 should be visited before node16\nnode 14 should be visited before node19\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 15 should be visited before node16\nnode 15 should be visited before node0\nnode 15 should be visited before node17\nnode 15 should be visited before node9\nnode 15 should be visited before node11\nnode 16 should be visited before node19\nnode 16 should be visited before node4\nnode 16 should be visited before node0\nnode 16 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node21\nnode 17 should be visited before node11\nnode 18 should be visited before node14\nnode 18 should be visited before node15\nnode 18 should be visited before node20\nnode 18 should be visited before node16\nnode 18 should be visited before node19\nnode 18 should be visited before node4\nnode 18 should be visited before node0\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node21\nnode 18 should be visited before node9\nnode 19 should be visited before node4\nnode 19 should be visited before node12\nnode 19 should be visited before node9\nnode 19 should be visited before node11\nnode 20 should be visited before node16\nnode 20 should be visited before node1\nnode 20 should be visited before node19\nnode 20 should be visited before node17\nnode 20 should be visited before node12\nnode 20 should be visited before node24\nnode 20 should be visited before node21\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 21 should be visited before node13\nnode 22 should be visited before node2\nnode 22 should be visited before node20\nnode 22 should be visited before node0\nnode 22 should be visited before node9\nnode 22 should be visited before node11\nnode 23 should be visited before node2\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 23 should be visited before node19\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node24\nnode 23 should be visited before node21\nnode 23 should be visited before node9\nnode 23 should be visited before node13\nnode 23 should be visited before node11\nnode 24 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,3,8,5,6,7,22,23,18,2,14,15,20,16,1,19,0,4,9,17,12,24,21,13,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph1120",
        "image": "data/topology/graph_visual/medium/graph1120.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node20\nnode 2 should be visited before node10\nnode 2 should be visited before node19\nnode 2 should be visited before node17\nnode 2 should be visited before node21\nnode 2 should be visited before node14\nnode 2 should be visited before node22\nnode 2 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node20\nnode 3 should be visited before node16\nnode 3 should be visited before node19\nnode 3 should be visited before node6\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node0\nnode 3 should be visited before node15\nnode 4 should be visited before node8\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node15\nnode 5 should be visited before node18\nnode 5 should be visited before node19\nnode 5 should be visited before node21\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node22\nnode 5 should be visited before node0\nnode 5 should be visited before node15\nnode 6 should be visited before node7\nnode 6 should be visited before node22\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 7 should be visited before node14\nnode 7 should be visited before node22\nnode 7 should be visited before node1\nnode 7 should be visited before node15\nnode 8 should be visited before node22\nnode 8 should be visited before node0\nnode 8 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node15\nnode 9 should be visited before node18\nnode 9 should be visited before node20\nnode 9 should be visited before node16\nnode 9 should be visited before node19\nnode 9 should be visited before node8\nnode 9 should be visited before node22\nnode 9 should be visited before node0\nnode 9 should be visited before node11\nnode 10 should be visited before node19\nnode 10 should be visited before node17\nnode 10 should be visited before node21\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 12 should be visited before node9\nnode 12 should be visited before node20\nnode 12 should be visited before node19\nnode 12 should be visited before node17\nnode 12 should be visited before node21\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node11\nnode 12 should be visited before node1\nnode 12 should be visited before node15\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 13 should be visited before node20\nnode 13 should be visited before node10\nnode 13 should be visited before node21\nnode 13 should be visited before node6\nnode 14 should be visited before node0\nnode 14 should be visited before node15\nnode 16 should be visited before node10\nnode 16 should be visited before node17\nnode 16 should be visited before node21\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 16 should be visited before node22\nnode 16 should be visited before node0\nnode 16 should be visited before node11\nnode 16 should be visited before node15\nnode 17 should be visited before node6\nnode 17 should be visited before node4\nnode 17 should be visited before node22\nnode 17 should be visited before node0\nnode 17 should be visited before node11\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 18 should be visited before node17\nnode 18 should be visited before node6\nnode 18 should be visited before node7\nnode 18 should be visited before node22\nnode 18 should be visited before node11\nnode 18 should be visited before node1\nnode 19 should be visited before node21\nnode 19 should be visited before node8\nnode 19 should be visited before node14\nnode 19 should be visited before node1\nnode 20 should be visited before node16\nnode 20 should be visited before node19\nnode 20 should be visited before node21\nnode 20 should be visited before node7\nnode 20 should be visited before node14\nnode 20 should be visited before node22\nnode 21 should be visited before node6\nnode 21 should be visited before node4\nnode 21 should be visited before node7\nnode 21 should be visited before node14\nnode 21 should be visited before node11\nnode 21 should be visited before node15\nnode 22 should be visited before node0\nnode 22 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,12,13,5,2,9,18,20,16,10,19,17,21,6,4,8,7,14,22,0,11,1,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph896",
        "image": "data/topology/graph_visual/medium/graph896.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node7\nnode 0 should be visited before node13\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node8\nnode 0 should be visited before node15\nnode 0 should be visited before node10\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 1 should be visited before node12\nnode 1 should be visited before node16\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node18\nnode 2 should be visited before node15\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node5\nnode 3 should be visited before node5\nnode 4 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node16\nnode 6 should be visited before node4\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node11\nnode 7 should be visited before node19\nnode 7 should be visited before node2\nnode 7 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 7 should be visited before node16\nnode 7 should be visited before node4\nnode 7 should be visited before node5\nnode 8 should be visited before node18\nnode 8 should be visited before node15\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node16\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node4\nnode 11 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node8\nnode 11 should be visited before node15\nnode 11 should be visited before node9\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 11 should be visited before node3\nnode 11 should be visited before node5\nnode 12 should be visited before node16\nnode 12 should be visited before node3\nnode 12 should be visited before node5\nnode 13 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 13 should be visited before node16\nnode 13 should be visited before node5\nnode 14 should be visited before node17\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node11\nnode 14 should be visited before node2\nnode 14 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node18\nnode 14 should be visited before node15\nnode 14 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node3\nnode 15 should be visited before node10\nnode 15 should be visited before node9\nnode 15 should be visited before node1\nnode 15 should be visited before node12\nnode 15 should be visited before node4\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node5\nnode 17 should be visited before node7\nnode 17 should be visited before node13\nnode 17 should be visited before node11\nnode 17 should be visited before node19\nnode 17 should be visited before node2\nnode 17 should be visited before node6\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node4\nnode 17 should be visited before node3\nnode 18 should be visited before node10\nnode 18 should be visited before node9\nnode 18 should be visited before node1\nnode 18 should be visited before node12\nnode 18 should be visited before node16\nnode 18 should be visited before node3\nnode 18 should be visited before node5\nnode 19 should be visited before node2\nnode 19 should be visited before node8\nnode 19 should be visited before node15\nnode 19 should be visited before node10\nnode 19 should be visited before node1\nnode 19 should be visited before node16\nnode 19 should be visited before node3\nnode 19 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,17,0,7,13,11,19,6,2,8,18,15,10,9,1,12,16,3,4,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph999",
        "image": "data/topology/graph_visual/medium/graph999.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node16\nnode 2 should be visited before node11\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 3 should be visited before node12\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node18\nnode 5 should be visited before node19\nnode 6 should be visited before node7\nnode 6 should be visited before node14\nnode 6 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node19\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 8 should be visited before node18\nnode 8 should be visited before node19\nnode 8 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 9 should be visited before node19\nnode 9 should be visited before node1\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node18\nnode 10 should be visited before node19\nnode 11 should be visited before node3\nnode 11 should be visited before node12\nnode 11 should be visited before node1\nnode 12 should be visited before node0\nnode 12 should be visited before node16\nnode 12 should be visited before node19\nnode 12 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node19\nnode 13 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node19\nnode 14 should be visited before node1\nnode 15 should be visited before node13\nnode 15 should be visited before node3\nnode 15 should be visited before node0\nnode 15 should be visited before node18\nnode 15 should be visited before node19\nnode 15 should be visited before node1\nnode 16 should be visited before node19\nnode 17 should be visited before node20\nnode 17 should be visited before node5\nnode 17 should be visited before node14\nnode 17 should be visited before node13\nnode 17 should be visited before node8\nnode 18 should be visited before node19\nnode 19 should be visited before node1\nnode 20 should be visited before node5\nnode 20 should be visited before node14\nnode 20 should be visited before node2\nnode 20 should be visited before node12\nnode 20 should be visited before node0\nnode 20 should be visited before node19\nnode 21 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node4\nnode 21 should be visited before node2\nnode 21 should be visited before node3\nnode 21 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,15,21,10,6,17,4,7,20,8,5,14,18,2,11,13,3,12,0,16,19,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph554",
        "image": "data/topology/graph_visual/medium/graph554.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 0 should be visited before node6\nnode 1 should be visited before node6\nnode 2 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node2\nnode 4 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node15\nnode 8 should be visited before node13\nnode 8 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 9 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node15\nnode 12 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node5\nnode 13 should be visited before node7\nnode 13 should be visited before node2\nnode 13 should be visited before node6\nnode 14 should be visited before node6\nnode 15 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node10\nnode 16 should be visited before node7\nnode 16 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,8,12,16,11,13,10,7,0,5,9,1,2,14,15,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1322",
        "image": "data/topology/graph_visual/medium/graph1322.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node1\nnode 0 should be visited before node21\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 0 should be visited before node18\nnode 0 should be visited before node5\nnode 0 should be visited before node20\nnode 0 should be visited before node22\nnode 0 should be visited before node8\nnode 1 should be visited before node17\nnode 1 should be visited before node21\nnode 1 should be visited before node16\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node20\nnode 1 should be visited before node22\nnode 1 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node19\nnode 2 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 2 should be visited before node10\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node17\nnode 2 should be visited before node16\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 2 should be visited before node5\nnode 2 should be visited before node15\nnode 2 should be visited before node20\nnode 2 should be visited before node8\nnode 3 should be visited before node12\nnode 3 should be visited before node2\nnode 3 should be visited before node14\nnode 3 should be visited before node19\nnode 3 should be visited before node24\nnode 3 should be visited before node23\nnode 3 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node21\nnode 3 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 3 should be visited before node5\nnode 3 should be visited before node15\nnode 4 should be visited before node18\nnode 4 should be visited before node5\nnode 4 should be visited before node20\nnode 4 should be visited before node22\nnode 4 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node20\nnode 5 should be visited before node22\nnode 5 should be visited before node8\nnode 6 should be visited before node9\nnode 6 should be visited before node14\nnode 6 should be visited before node19\nnode 6 should be visited before node24\nnode 6 should be visited before node23\nnode 6 should be visited before node10\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node17\nnode 6 should be visited before node21\nnode 6 should be visited before node18\nnode 6 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node22\nnode 6 should be visited before node8\nnode 7 should be visited before node17\nnode 7 should be visited before node21\nnode 7 should be visited before node18\nnode 7 should be visited before node5\nnode 7 should be visited before node20\nnode 7 should be visited before node22\nnode 7 should be visited before node8\nnode 9 should be visited before node14\nnode 9 should be visited before node13\nnode 9 should be visited before node24\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 9 should be visited before node17\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node20\nnode 9 should be visited before node22\nnode 9 should be visited before node8\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 10 should be visited before node21\nnode 10 should be visited before node16\nnode 10 should be visited before node4\nnode 10 should be visited before node18\nnode 10 should be visited before node22\nnode 10 should be visited before node8\nnode 11 should be visited before node1\nnode 11 should be visited before node21\nnode 11 should be visited before node18\nnode 11 should be visited before node5\nnode 11 should be visited before node15\nnode 11 should be visited before node22\nnode 11 should be visited before node8\nnode 12 should be visited before node2\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 12 should be visited before node24\nnode 12 should be visited before node23\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node1\nnode 12 should be visited before node17\nnode 12 should be visited before node4\nnode 12 should be visited before node18\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 13 should be visited before node24\nnode 13 should be visited before node10\nnode 13 should be visited before node0\nnode 13 should be visited before node11\nnode 13 should be visited before node1\nnode 13 should be visited before node21\nnode 13 should be visited before node4\nnode 13 should be visited before node18\nnode 13 should be visited before node22\nnode 14 should be visited before node13\nnode 14 should be visited before node23\nnode 14 should be visited before node10\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node21\nnode 14 should be visited before node16\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node20\nnode 14 should be visited before node8\nnode 15 should be visited before node20\nnode 15 should be visited before node22\nnode 15 should be visited before node8\nnode 16 should be visited before node18\nnode 16 should be visited before node15\nnode 16 should be visited before node20\nnode 16 should be visited before node22\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node5\nnode 17 should be visited before node15\nnode 17 should be visited before node20\nnode 17 should be visited before node22\nnode 17 should be visited before node8\nnode 18 should be visited before node5\nnode 18 should be visited before node15\nnode 18 should be visited before node20\nnode 19 should be visited before node13\nnode 19 should be visited before node7\nnode 19 should be visited before node0\nnode 19 should be visited before node1\nnode 19 should be visited before node17\nnode 19 should be visited before node21\nnode 19 should be visited before node16\nnode 19 should be visited before node4\nnode 19 should be visited before node5\nnode 19 should be visited before node15\nnode 19 should be visited before node20\nnode 19 should be visited before node22\nnode 19 should be visited before node8\nnode 20 should be visited before node8\nnode 21 should be visited before node16\nnode 21 should be visited before node4\nnode 21 should be visited before node18\nnode 21 should be visited before node15\nnode 21 should be visited before node22\nnode 21 should be visited before node8\nnode 23 should be visited before node10\nnode 23 should be visited before node0\nnode 23 should be visited before node11\nnode 23 should be visited before node1\nnode 23 should be visited before node21\nnode 23 should be visited before node16\nnode 23 should be visited before node5\nnode 23 should be visited before node15\nnode 23 should be visited before node22\nnode 23 should be visited before node8\nnode 24 should be visited before node23\nnode 24 should be visited before node0\nnode 24 should be visited before node11\nnode 24 should be visited before node1\nnode 24 should be visited before node17\nnode 24 should be visited before node21\nnode 24 should be visited before node16\nnode 24 should be visited before node5\nnode 24 should be visited before node15\nnode 24 should be visited before node20\nnode 24 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,12,2,6,9,19,14,13,24,23,10,7,0,11,1,17,21,16,4,18,5,15,20,22,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph252",
        "image": "data/topology/graph_visual/medium/graph252.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node11\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node7\nnode 1 should be visited before node12\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node6\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node12\nnode 6 should be visited before node7\nnode 7 should be visited before node12\nnode 8 should be visited before node6\nnode 8 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node5\nnode 10 should be visited before node8\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node12\nnode 11 should be visited before node5\nnode 11 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,9,3,0,1,10,4,11,5,8,6,7,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph1316",
        "image": "data/topology/graph_visual/medium/graph1316.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node14\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 4 should be visited before node11\nnode 4 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node8\nnode 5 should be visited before node14\nnode 5 should be visited before node11\nnode 5 should be visited before node3\nnode 6 should be visited before node23\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node24\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node8\nnode 6 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node23\nnode 7 should be visited before node18\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node8\nnode 7 should be visited before node14\nnode 7 should be visited before node11\nnode 7 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 9 should be visited before node23\nnode 9 should be visited before node18\nnode 9 should be visited before node0\nnode 9 should be visited before node10\nnode 9 should be visited before node24\nnode 9 should be visited before node5\nnode 9 should be visited before node4\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node14\nnode 9 should be visited before node11\nnode 9 should be visited before node3\nnode 10 should be visited before node5\nnode 10 should be visited before node13\nnode 10 should be visited before node14\nnode 10 should be visited before node11\nnode 12 should be visited before node19\nnode 12 should be visited before node7\nnode 12 should be visited before node9\nnode 12 should be visited before node22\nnode 12 should be visited before node6\nnode 12 should be visited before node18\nnode 12 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node5\nnode 12 should be visited before node4\nnode 12 should be visited before node2\nnode 12 should be visited before node14\nnode 12 should be visited before node3\nnode 13 should be visited before node1\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node3\nnode 14 should be visited before node3\nnode 15 should be visited before node17\nnode 15 should be visited before node20\nnode 15 should be visited before node6\nnode 15 should be visited before node18\nnode 15 should be visited before node0\nnode 15 should be visited before node24\nnode 15 should be visited before node4\nnode 15 should be visited before node2\nnode 15 should be visited before node14\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 16 should be visited before node17\nnode 16 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node6\nnode 16 should be visited before node23\nnode 16 should be visited before node18\nnode 16 should be visited before node0\nnode 16 should be visited before node10\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 16 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node9\nnode 17 should be visited before node23\nnode 17 should be visited before node18\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node13\nnode 17 should be visited before node14\nnode 17 should be visited before node3\nnode 18 should be visited before node5\nnode 18 should be visited before node4\nnode 18 should be visited before node1\nnode 18 should be visited before node8\nnode 19 should be visited before node17\nnode 19 should be visited before node20\nnode 19 should be visited before node7\nnode 19 should be visited before node9\nnode 19 should be visited before node22\nnode 19 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node0\nnode 19 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node1\nnode 19 should be visited before node8\nnode 19 should be visited before node3\nnode 20 should be visited before node7\nnode 20 should be visited before node9\nnode 20 should be visited before node18\nnode 20 should be visited before node4\nnode 20 should be visited before node13\nnode 20 should be visited before node8\nnode 20 should be visited before node14\nnode 20 should be visited before node3\nnode 21 should be visited before node19\nnode 21 should be visited before node20\nnode 21 should be visited before node7\nnode 21 should be visited before node22\nnode 21 should be visited before node5\nnode 21 should be visited before node4\nnode 21 should be visited before node13\nnode 21 should be visited before node1\nnode 21 should be visited before node2\nnode 21 should be visited before node14\nnode 21 should be visited before node11\nnode 22 should be visited before node6\nnode 22 should be visited before node23\nnode 22 should be visited before node18\nnode 22 should be visited before node10\nnode 22 should be visited before node4\nnode 22 should be visited before node14\nnode 22 should be visited before node11\nnode 22 should be visited before node3\nnode 23 should be visited before node18\nnode 23 should be visited before node0\nnode 23 should be visited before node10\nnode 23 should be visited before node5\nnode 23 should be visited before node4\nnode 23 should be visited before node13\nnode 23 should be visited before node1\nnode 23 should be visited before node8\nnode 23 should be visited before node2\nnode 23 should be visited before node14\nnode 24 should be visited before node1\nnode 24 should be visited before node8\nnode 24 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,15,16,21,19,17,20,22,7,6,9,23,24,18,0,4,10,5,13,14,1,8,2,11,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph576",
        "image": "data/topology/graph_visual/medium/graph576.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node9\nnode 0 should be visited before node11\nnode 1 should be visited before node0\nnode 1 should be visited before node9\nnode 1 should be visited before node11\nnode 1 should be visited before node14\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node16\nnode 4 should be visited before node2\nnode 4 should be visited before node10\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 5 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node12\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node11\nnode 7 should be visited before node14\nnode 8 should be visited before node0\nnode 9 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node9\nnode 10 should be visited before node14\nnode 11 should be visited before node14\nnode 12 should be visited before node10\nnode 12 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 13 should be visited before node5\nnode 13 should be visited before node16\nnode 13 should be visited before node2\nnode 13 should be visited before node10\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node9\nnode 13 should be visited before node14\nnode 15 should be visited before node5\nnode 15 should be visited before node7\nnode 15 should be visited before node16\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node1\nnode 15 should be visited before node6\nnode 15 should be visited before node14\nnode 16 should be visited before node2\nnode 16 should be visited before node8\nnode 16 should be visited before node1\nnode 16 should be visited before node9\nnode 16 should be visited before node11\nnode 16 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,13,15,5,7,16,12,2,10,8,3,1,6,0,9,11,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph982",
        "image": "data/topology/graph_visual/medium/graph982.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node12\nnode 0 should be visited before node17\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node17\nnode 2 should be visited before node15\nnode 2 should be visited before node20\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node14\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node13\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node14\nnode 3 should be visited before node11\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node19\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node12\nnode 4 should be visited before node11\nnode 4 should be visited before node18\nnode 4 should be visited before node13\nnode 4 should be visited before node19\nnode 4 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node12\nnode 5 should be visited before node17\nnode 6 should be visited before node20\nnode 6 should be visited before node16\nnode 6 should be visited before node4\nnode 6 should be visited before node14\nnode 6 should be visited before node8\nnode 6 should be visited before node11\nnode 6 should be visited before node18\nnode 6 should be visited before node13\nnode 6 should be visited before node19\nnode 6 should be visited before node9\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node12\nnode 6 should be visited before node17\nnode 7 should be visited before node2\nnode 7 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node20\nnode 7 should be visited before node16\nnode 7 should be visited before node4\nnode 7 should be visited before node14\nnode 7 should be visited before node8\nnode 7 should be visited before node11\nnode 7 should be visited before node18\nnode 7 should be visited before node13\nnode 7 should be visited before node19\nnode 7 should be visited before node9\nnode 7 should be visited before node0\nnode 7 should be visited before node17\nnode 8 should be visited before node11\nnode 8 should be visited before node18\nnode 8 should be visited before node13\nnode 8 should be visited before node0\nnode 8 should be visited before node17\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 10 should be visited before node18\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node17\nnode 11 should be visited before node18\nnode 11 should be visited before node13\nnode 11 should be visited before node1\nnode 11 should be visited before node9\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node17\nnode 12 should be visited before node17\nnode 13 should be visited before node19\nnode 13 should be visited before node1\nnode 13 should be visited before node9\nnode 13 should be visited before node0\nnode 13 should be visited before node5\nnode 13 should be visited before node17\nnode 14 should be visited before node18\nnode 14 should be visited before node13\nnode 14 should be visited before node19\nnode 14 should be visited before node9\nnode 14 should be visited before node0\nnode 14 should be visited before node17\nnode 15 should be visited before node6\nnode 15 should be visited before node20\nnode 15 should be visited before node16\nnode 15 should be visited before node4\nnode 15 should be visited before node11\nnode 15 should be visited before node18\nnode 15 should be visited before node13\nnode 15 should be visited before node9\nnode 15 should be visited before node5\nnode 15 should be visited before node12\nnode 16 should be visited before node14\nnode 16 should be visited before node8\nnode 16 should be visited before node11\nnode 16 should be visited before node18\nnode 16 should be visited before node13\nnode 16 should be visited before node19\nnode 16 should be visited before node0\nnode 16 should be visited before node12\nnode 18 should be visited before node19\nnode 18 should be visited before node1\nnode 18 should be visited before node9\nnode 18 should be visited before node0\nnode 18 should be visited before node12\nnode 18 should be visited before node17\nnode 19 should be visited before node0\nnode 19 should be visited before node5\nnode 20 should be visited before node10\nnode 20 should be visited before node16\nnode 20 should be visited before node14\nnode 20 should be visited before node18\nnode 20 should be visited before node13\nnode 20 should be visited before node19\nnode 20 should be visited before node0\nnode 20 should be visited before node5\nnode 20 should be visited before node12\nnode 20 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,7,2,15,6,20,10,16,4,14,8,11,18,13,19,1,9,0,5,12,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph379",
        "image": "data/topology/graph_visual/medium/graph379.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node14\nnode 0 should be visited before node12\nnode 1 should be visited before node3\nnode 1 should be visited before node7\nnode 1 should be visited before node12\nnode 2 should be visited before node4\nnode 2 should be visited before node13\nnode 2 should be visited before node1\nnode 2 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node11\nnode 4 should be visited before node5\nnode 4 should be visited before node10\nnode 4 should be visited before node0\nnode 4 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node8\nnode 5 should be visited before node0\nnode 5 should be visited before node12\nnode 6 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node14\nnode 7 should be visited before node12\nnode 7 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node7\nnode 8 should be visited before node12\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 13 should be visited before node3\nnode 13 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,6,9,4,13,5,1,8,3,10,0,7,14,12,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph582",
        "image": "data/topology/graph_visual/medium/graph582.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node2\nnode 0 should be visited before node13\nnode 0 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 3 should be visited before node12\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node2\nnode 3 should be visited before node14\nnode 3 should be visited before node8\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node2\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node8\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 7 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 9 should be visited before node12\nnode 9 should be visited before node0\nnode 9 should be visited before node13\nnode 9 should be visited before node14\nnode 9 should be visited before node6\nnode 9 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node13\nnode 10 should be visited before node14\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node1\nnode 11 should be visited before node7\nnode 11 should be visited before node1\nnode 12 should be visited before node0\nnode 12 should be visited before node5\nnode 12 should be visited before node8\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 13 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 15 should be visited before node0\nnode 15 should be visited before node10\nnode 15 should be visited before node5\nnode 15 should be visited before node2\nnode 15 should be visited before node13\nnode 15 should be visited before node8\nnode 15 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node12\nnode 16 should be visited before node15\nnode 16 should be visited before node2\nnode 16 should be visited before node13\nnode 16 should be visited before node14\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 16 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,9,16,3,12,15,0,10,2,5,13,14,8,6,11,7,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph1344",
        "image": "data/topology/graph_visual/medium/graph1344.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 1 should be visited before node23\nnode 1 should be visited before node14\nnode 1 should be visited before node8\nnode 1 should be visited before node18\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node16\nnode 1 should be visited before node21\nnode 1 should be visited before node5\nnode 1 should be visited before node12\nnode 1 should be visited before node13\nnode 1 should be visited before node19\nnode 1 should be visited before node0\nnode 1 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node11\nnode 2 should be visited before node17\nnode 2 should be visited before node23\nnode 2 should be visited before node14\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node16\nnode 2 should be visited before node21\nnode 2 should be visited before node5\nnode 2 should be visited before node13\nnode 2 should be visited before node7\nnode 2 should be visited before node19\nnode 2 should be visited before node0\nnode 2 should be visited before node15\nnode 3 should be visited before node16\nnode 3 should be visited before node21\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node11\nnode 4 should be visited before node23\nnode 4 should be visited before node8\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node16\nnode 4 should be visited before node21\nnode 4 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node19\nnode 4 should be visited before node0\nnode 4 should be visited before node15\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node19\nnode 5 should be visited before node0\nnode 5 should be visited before node15\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node15\nnode 7 should be visited before node19\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 8 should be visited before node18\nnode 8 should be visited before node6\nnode 8 should be visited before node16\nnode 8 should be visited before node21\nnode 8 should be visited before node5\nnode 8 should be visited before node12\nnode 8 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node19\nnode 8 should be visited before node0\nnode 8 should be visited before node15\nnode 9 should be visited before node4\nnode 9 should be visited before node17\nnode 9 should be visited before node14\nnode 9 should be visited before node8\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node19\nnode 10 should be visited before node22\nnode 10 should be visited before node20\nnode 10 should be visited before node9\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 10 should be visited before node23\nnode 10 should be visited before node14\nnode 10 should be visited before node8\nnode 10 should be visited before node18\nnode 10 should be visited before node3\nnode 10 should be visited before node21\nnode 10 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node15\nnode 11 should be visited before node17\nnode 11 should be visited before node23\nnode 11 should be visited before node14\nnode 11 should be visited before node8\nnode 11 should be visited before node18\nnode 11 should be visited before node6\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node0\nnode 11 should be visited before node15\nnode 12 should be visited before node7\nnode 12 should be visited before node19\nnode 12 should be visited before node0\nnode 12 should be visited before node15\nnode 13 should be visited before node7\nnode 13 should be visited before node19\nnode 13 should be visited before node0\nnode 13 should be visited before node15\nnode 14 should be visited before node8\nnode 14 should be visited before node18\nnode 14 should be visited before node3\nnode 14 should be visited before node21\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 16 should be visited before node21\nnode 16 should be visited before node13\nnode 16 should be visited before node19\nnode 16 should be visited before node0\nnode 17 should be visited before node14\nnode 17 should be visited before node8\nnode 17 should be visited before node3\nnode 17 should be visited before node16\nnode 17 should be visited before node21\nnode 17 should be visited before node5\nnode 17 should be visited before node12\nnode 17 should be visited before node0\nnode 17 should be visited before node15\nnode 18 should be visited before node6\nnode 18 should be visited before node3\nnode 18 should be visited before node16\nnode 18 should be visited before node21\nnode 18 should be visited before node5\nnode 18 should be visited before node12\nnode 18 should be visited before node13\nnode 18 should be visited before node7\nnode 18 should be visited before node19\nnode 18 should be visited before node0\nnode 19 should be visited before node0\nnode 19 should be visited before node15\nnode 20 should be visited before node2\nnode 20 should be visited before node9\nnode 20 should be visited before node1\nnode 20 should be visited before node11\nnode 20 should be visited before node23\nnode 20 should be visited before node8\nnode 20 should be visited before node18\nnode 20 should be visited before node6\nnode 20 should be visited before node3\nnode 20 should be visited before node16\nnode 20 should be visited before node12\nnode 20 should be visited before node13\nnode 20 should be visited before node19\nnode 20 should be visited before node0\nnode 20 should be visited before node15\nnode 21 should be visited before node5\nnode 21 should be visited before node12\nnode 21 should be visited before node13\nnode 21 should be visited before node7\nnode 21 should be visited before node19\nnode 21 should be visited before node0\nnode 22 should be visited before node20\nnode 22 should be visited before node9\nnode 22 should be visited before node1\nnode 22 should be visited before node11\nnode 22 should be visited before node17\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 22 should be visited before node8\nnode 22 should be visited before node18\nnode 22 should be visited before node6\nnode 22 should be visited before node16\nnode 22 should be visited before node5\nnode 22 should be visited before node13\nnode 22 should be visited before node7\nnode 22 should be visited before node0\nnode 23 should be visited before node18\nnode 23 should be visited before node6\nnode 23 should be visited before node3\nnode 23 should be visited before node16\nnode 23 should be visited before node21\nnode 23 should be visited before node5\nnode 23 should be visited before node13\nnode 23 should be visited before node7\nnode 23 should be visited before node19\nnode 23 should be visited before node0\nnode 24 should be visited before node20\nnode 24 should be visited before node2\nnode 24 should be visited before node9\nnode 24 should be visited before node4\nnode 24 should be visited before node11\nnode 24 should be visited before node17\nnode 24 should be visited before node23\nnode 24 should be visited before node14\nnode 24 should be visited before node18\nnode 24 should be visited before node6\nnode 24 should be visited before node3\nnode 24 should be visited before node16\nnode 24 should be visited before node21\nnode 24 should be visited before node12\nnode 24 should be visited before node13\nnode 24 should be visited before node7\nnode 24 should be visited before node0\nnode 24 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,24,22,20,2,9,4,1,11,17,23,14,8,18,6,3,16,21,5,13,12,7,19,0,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph552",
        "image": "data/topology/graph_visual/medium/graph552.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node12\nnode 0 should be visited before node10\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node9\nnode 2 should be visited before node3\nnode 4 should be visited before node10\nnode 4 should be visited before node16\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 9 should be visited before node1\nnode 10 should be visited before node11\nnode 10 should be visited before node6\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node5\nnode 11 should be visited before node9\nnode 11 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 13 should be visited before node6\nnode 14 should be visited before node0\nnode 14 should be visited before node15\nnode 14 should be visited before node10\nnode 14 should be visited before node8\nnode 14 should be visited before node6\nnode 15 should be visited before node11\nnode 15 should be visited before node2\nnode 15 should be visited before node9\nnode 15 should be visited before node1\nnode 16 should be visited before node9\nnode 16 should be visited before node3\nnode 16 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,13,14,0,15,8,12,10,11,16,2,5,6,7,9,3,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph496",
        "image": "data/topology/graph_visual/medium/graph496.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 1 should be visited before node10\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 1 should be visited before node15\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node15\nnode 3 should be visited before node13\nnode 3 should be visited before node0\nnode 4 should be visited before node15\nnode 4 should be visited before node0\nnode 5 should be visited before node8\nnode 5 should be visited before node6\nnode 5 should be visited before node7\nnode 5 should be visited before node15\nnode 6 should be visited before node1\nnode 6 should be visited before node10\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node15\nnode 6 should be visited before node13\nnode 6 should be visited before node0\nnode 7 should be visited before node15\nnode 8 should be visited before node6\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node13\nnode 8 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node6\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node15\nnode 9 should be visited before node13\nnode 9 should be visited before node0\nnode 10 should be visited before node4\nnode 10 should be visited before node15\nnode 10 should be visited before node13\nnode 10 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node4\nnode 11 should be visited before node15\nnode 11 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 12 should be visited before node1\nnode 12 should be visited before node10\nnode 12 should be visited before node11\nnode 13 should be visited before node0\nnode 14 should be visited before node2\nnode 14 should be visited before node8\nnode 14 should be visited before node6\nnode 14 should be visited before node1\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node4\nnode 14 should be visited before node13\nnode 15 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,5,12,14,9,8,2,11,6,1,10,7,4,15,13,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph480",
        "image": "data/topology/graph_visual/medium/graph480.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 2 should be visited before node8\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node9\nnode 3 should be visited before node8\nnode 3 should be visited before node14\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node6\nnode 5 should be visited before node15\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node15\nnode 6 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node9\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 10 should be visited before node14\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 11 should be visited before node6\nnode 11 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node9\nnode 11 should be visited before node8\nnode 11 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node4\nnode 13 should be visited before node15\nnode 13 should be visited before node7\nnode 13 should be visited before node12\nnode 13 should be visited before node9\nnode 13 should be visited before node8\nnode 15 should be visited before node7\nnode 15 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,11,13,10,5,2,6,1,4,15,7,12,14,9,8,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph213",
        "image": "data/topology/graph_visual/medium/graph213.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 0 should be visited before node10\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 1 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 3 should be visited before node8\nnode 4 should be visited before node10\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node8\nnode 5 should be visited before node10\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 7 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node1\nnode 12 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,9,12,0,11,5,4,10,3,1,7,8,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph784",
        "image": "data/topology/graph_visual/medium/graph784.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node9\nnode 0 should be visited before node17\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node18\nnode 0 should be visited before node14\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 1 should be visited before node14\nnode 1 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node18\nnode 2 should be visited before node13\nnode 2 should be visited before node14\nnode 2 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node0\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node14\nnode 3 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node14\nnode 5 should be visited before node16\nnode 5 should be visited before node0\nnode 5 should be visited before node9\nnode 5 should be visited before node17\nnode 5 should be visited before node6\nnode 5 should be visited before node10\nnode 5 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node18\nnode 5 should be visited before node14\nnode 5 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node2\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node17\nnode 7 should be visited before node6\nnode 7 should be visited before node10\nnode 7 should be visited before node2\nnode 7 should be visited before node18\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node18\nnode 9 should be visited before node14\nnode 9 should be visited before node8\nnode 10 should be visited before node11\nnode 10 should be visited before node4\nnode 10 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node18\nnode 11 should be visited before node14\nnode 11 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node3\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node17\nnode 12 should be visited before node6\nnode 12 should be visited before node10\nnode 12 should be visited before node1\nnode 12 should be visited before node2\nnode 13 should be visited before node14\nnode 13 should be visited before node8\nnode 15 should be visited before node12\nnode 15 should be visited before node3\nnode 15 should be visited before node16\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node17\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node2\nnode 15 should be visited before node11\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node8\nnode 16 should be visited before node0\nnode 16 should be visited before node9\nnode 16 should be visited before node17\nnode 16 should be visited before node10\nnode 16 should be visited before node1\nnode 16 should be visited before node2\nnode 16 should be visited before node11\nnode 16 should be visited before node4\nnode 16 should be visited before node13\nnode 16 should be visited before node14\nnode 17 should be visited before node10\nnode 17 should be visited before node2\nnode 17 should be visited before node11\nnode 17 should be visited before node4\nnode 17 should be visited before node14\nnode 18 should be visited before node13\nnode 18 should be visited before node14\nnode 18 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,15,12,5,3,16,0,9,17,1,6,10,2,11,4,18,13,14,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph822",
        "image": "data/topology/graph_visual/medium/graph822.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 1 should be visited before node11\nnode 1 should be visited before node15\nnode 1 should be visited before node10\nnode 1 should be visited before node4\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node18\nnode 2 should be visited before node19\nnode 2 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 3 should be visited before node18\nnode 3 should be visited before node16\nnode 4 should be visited before node17\nnode 4 should be visited before node8\nnode 5 should be visited before node18\nnode 6 should be visited before node5\nnode 6 should be visited before node14\nnode 6 should be visited before node18\nnode 6 should be visited before node17\nnode 7 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node18\nnode 9 should be visited before node2\nnode 9 should be visited before node14\nnode 9 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node10\nnode 11 should be visited before node16\nnode 12 should be visited before node6\nnode 12 should be visited before node14\nnode 12 should be visited before node18\nnode 12 should be visited before node0\nnode 13 should be visited before node15\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 13 should be visited before node8\nnode 13 should be visited before node16\nnode 14 should be visited before node8\nnode 15 should be visited before node8\nnode 15 should be visited before node16\nnode 17 should be visited before node19\nnode 18 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,3,12,13,11,9,7,2,15,10,6,4,16,0,5,14,18,8,17,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph1142",
        "image": "data/topology/graph_visual/medium/graph1142.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node16\nnode 0 should be visited before node1\nnode 0 should be visited before node17\nnode 0 should be visited before node20\nnode 0 should be visited before node13\nnode 0 should be visited before node6\nnode 0 should be visited before node19\nnode 0 should be visited before node8\nnode 0 should be visited before node11\nnode 0 should be visited before node7\nnode 0 should be visited before node18\nnode 1 should be visited before node17\nnode 1 should be visited before node20\nnode 1 should be visited before node6\nnode 1 should be visited before node14\nnode 1 should be visited before node8\nnode 1 should be visited before node9\nnode 1 should be visited before node4\nnode 2 should be visited before node10\nnode 2 should be visited before node15\nnode 2 should be visited before node22\nnode 2 should be visited before node12\nnode 2 should be visited before node1\nnode 2 should be visited before node17\nnode 2 should be visited before node20\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node19\nnode 2 should be visited before node5\nnode 2 should be visited before node14\nnode 2 should be visited before node8\nnode 2 should be visited before node9\nnode 2 should be visited before node11\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node18\nnode 3 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node8\nnode 5 should be visited before node7\nnode 5 should be visited before node18\nnode 6 should be visited before node19\nnode 6 should be visited before node5\nnode 6 should be visited before node14\nnode 6 should be visited before node3\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 7 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node18\nnode 8 should be visited before node4\nnode 9 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 9 should be visited before node4\nnode 10 should be visited before node22\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node16\nnode 10 should be visited before node17\nnode 10 should be visited before node6\nnode 10 should be visited before node19\nnode 10 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node8\nnode 10 should be visited before node9\nnode 10 should be visited before node11\nnode 10 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node18\nnode 12 should be visited before node0\nnode 12 should be visited before node16\nnode 12 should be visited before node17\nnode 12 should be visited before node20\nnode 12 should be visited before node13\nnode 12 should be visited before node6\nnode 12 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node11\nnode 12 should be visited before node18\nnode 12 should be visited before node4\nnode 13 should be visited before node19\nnode 13 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 13 should be visited before node18\nnode 14 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node18\nnode 14 should be visited before node4\nnode 15 should be visited before node22\nnode 15 should be visited before node12\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node19\nnode 15 should be visited before node5\nnode 15 should be visited before node14\nnode 15 should be visited before node8\nnode 15 should be visited before node9\nnode 15 should be visited before node7\nnode 15 should be visited before node18\nnode 15 should be visited before node4\nnode 16 should be visited before node20\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node8\nnode 16 should be visited before node9\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node18\nnode 17 should be visited before node6\nnode 17 should be visited before node19\nnode 17 should be visited before node5\nnode 17 should be visited before node14\nnode 17 should be visited before node3\nnode 17 should be visited before node8\nnode 17 should be visited before node9\nnode 17 should be visited before node11\nnode 17 should be visited before node7\nnode 17 should be visited before node18\nnode 17 should be visited before node4\nnode 18 should be visited before node4\nnode 19 should be visited before node14\nnode 19 should be visited before node3\nnode 19 should be visited before node8\nnode 19 should be visited before node9\nnode 19 should be visited before node18\nnode 20 should be visited before node13\nnode 20 should be visited before node6\nnode 20 should be visited before node19\nnode 20 should be visited before node5\nnode 20 should be visited before node14\nnode 20 should be visited before node8\nnode 20 should be visited before node4\nnode 21 should be visited before node2\nnode 21 should be visited before node15\nnode 21 should be visited before node12\nnode 21 should be visited before node0\nnode 21 should be visited before node16\nnode 21 should be visited before node13\nnode 21 should be visited before node6\nnode 21 should be visited before node19\nnode 21 should be visited before node5\nnode 21 should be visited before node3\nnode 21 should be visited before node9\nnode 21 should be visited before node11\nnode 21 should be visited before node7\nnode 21 should be visited before node18\nnode 21 should be visited before node4\nnode 22 should be visited before node12\nnode 22 should be visited before node16\nnode 22 should be visited before node17\nnode 22 should be visited before node20\nnode 22 should be visited before node6\nnode 22 should be visited before node19\nnode 22 should be visited before node5\nnode 22 should be visited before node14\nnode 22 should be visited before node3\nnode 22 should be visited before node8\nnode 22 should be visited before node9\nnode 22 should be visited before node11\nnode 22 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,2,10,15,22,12,0,16,1,17,20,13,6,19,5,14,3,8,9,11,7,18,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph1332",
        "image": "data/topology/graph_visual/medium/graph1332.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node17\nnode 1 should be visited before node22\nnode 1 should be visited before node20\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node2\nnode 1 should be visited before node24\nnode 1 should be visited before node15\nnode 1 should be visited before node12\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 1 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node17\nnode 2 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node21\nnode 4 should be visited before node17\nnode 4 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node22\nnode 5 should be visited before node20\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 5 should be visited before node18\nnode 5 should be visited before node10\nnode 5 should be visited before node23\nnode 5 should be visited before node2\nnode 5 should be visited before node24\nnode 5 should be visited before node15\nnode 5 should be visited before node12\nnode 5 should be visited before node0\nnode 5 should be visited before node8\nnode 5 should be visited before node6\nnode 5 should be visited before node13\nnode 5 should be visited before node17\nnode 6 should be visited before node13\nnode 6 should be visited before node17\nnode 6 should be visited before node3\nnode 7 should be visited before node18\nnode 7 should be visited before node23\nnode 7 should be visited before node2\nnode 7 should be visited before node24\nnode 7 should be visited before node15\nnode 7 should be visited before node11\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node21\nnode 7 should be visited before node17\nnode 7 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node21\nnode 8 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node14\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 9 should be visited before node10\nnode 9 should be visited before node23\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node4\nnode 9 should be visited before node0\nnode 9 should be visited before node13\nnode 9 should be visited before node21\nnode 9 should be visited before node17\nnode 10 should be visited before node23\nnode 10 should be visited before node2\nnode 10 should be visited before node24\nnode 10 should be visited before node15\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node0\nnode 10 should be visited before node13\nnode 10 should be visited before node21\nnode 10 should be visited before node17\nnode 11 should be visited before node12\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node13\nnode 11 should be visited before node3\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node8\nnode 12 should be visited before node6\nnode 12 should be visited before node13\nnode 12 should be visited before node21\nnode 12 should be visited before node17\nnode 13 should be visited before node21\nnode 14 should be visited before node7\nnode 14 should be visited before node18\nnode 14 should be visited before node10\nnode 14 should be visited before node23\nnode 14 should be visited before node2\nnode 14 should be visited before node24\nnode 14 should be visited before node15\nnode 14 should be visited before node12\nnode 14 should be visited before node4\nnode 14 should be visited before node0\nnode 14 should be visited before node8\nnode 14 should be visited before node6\nnode 14 should be visited before node21\nnode 14 should be visited before node3\nnode 15 should be visited before node11\nnode 15 should be visited before node12\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 15 should be visited before node21\nnode 15 should be visited before node17\nnode 15 should be visited before node3\nnode 16 should be visited before node7\nnode 16 should be visited before node18\nnode 16 should be visited before node2\nnode 16 should be visited before node24\nnode 16 should be visited before node11\nnode 16 should be visited before node12\nnode 16 should be visited before node4\nnode 16 should be visited before node0\nnode 16 should be visited before node8\nnode 16 should be visited before node13\nnode 16 should be visited before node17\nnode 16 should be visited before node3\nnode 17 should be visited before node3\nnode 18 should be visited before node23\nnode 18 should be visited before node2\nnode 18 should be visited before node15\nnode 18 should be visited before node12\nnode 18 should be visited before node0\nnode 18 should be visited before node6\nnode 18 should be visited before node13\nnode 18 should be visited before node17\nnode 18 should be visited before node3\nnode 19 should be visited before node5\nnode 19 should be visited before node9\nnode 19 should be visited before node1\nnode 19 should be visited before node22\nnode 19 should be visited before node14\nnode 19 should be visited before node16\nnode 19 should be visited before node7\nnode 19 should be visited before node18\nnode 19 should be visited before node2\nnode 19 should be visited before node24\nnode 19 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node0\nnode 19 should be visited before node6\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 20 should be visited before node16\nnode 20 should be visited before node18\nnode 20 should be visited before node10\nnode 20 should be visited before node24\nnode 20 should be visited before node15\nnode 20 should be visited before node0\nnode 20 should be visited before node8\nnode 20 should be visited before node6\nnode 20 should be visited before node17\nnode 20 should be visited before node3\nnode 21 should be visited before node17\nnode 21 should be visited before node3\nnode 22 should be visited before node20\nnode 22 should be visited before node14\nnode 22 should be visited before node16\nnode 22 should be visited before node18\nnode 22 should be visited before node23\nnode 22 should be visited before node2\nnode 22 should be visited before node24\nnode 22 should be visited before node11\nnode 22 should be visited before node12\nnode 22 should be visited before node0\nnode 22 should be visited before node8\nnode 22 should be visited before node6\nnode 22 should be visited before node13\nnode 22 should be visited before node21\nnode 23 should be visited before node2\nnode 23 should be visited before node11\nnode 23 should be visited before node12\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node6\nnode 23 should be visited before node21\nnode 23 should be visited before node17\nnode 23 should be visited before node3\nnode 24 should be visited before node11\nnode 24 should be visited before node12\nnode 24 should be visited before node0\nnode 24 should be visited before node8\nnode 24 should be visited before node6\nnode 24 should be visited before node13\nnode 24 should be visited before node21\nnode 24 should be visited before node17\nnode 24 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,5,9,1,22,20,14,16,10,7,18,24,23,15,2,11,12,4,0,8,6,13,21,17,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph289",
        "image": "data/topology/graph_visual/medium/graph289.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node8\nnode 0 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node8\nnode 3 should be visited before node12\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node1\nnode 5 should be visited before node0\nnode 6 should be visited before node13\nnode 7 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node6\nnode 10 should be visited before node2\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node8\nnode 10 should be visited before node12\nnode 11 should be visited before node9\nnode 11 should be visited before node8\nnode 11 should be visited before node1\nnode 13 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,7,10,11,4,5,6,9,2,13,0,1,8,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph329",
        "image": "data/topology/graph_visual/medium/graph329.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node12\nnode 0 should be visited before node11\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 2 should be visited before node9\nnode 2 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node12\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node5\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node9\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 9 should be visited before node4\nnode 10 should be visited before node7\nnode 10 should be visited before node9\nnode 10 should be visited before node4\nnode 11 should be visited before node13\nnode 11 should be visited before node7\nnode 11 should be visited before node9\nnode 11 should be visited before node5\nnode 11 should be visited before node4\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 13 should be visited before node8\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 13 should be visited before node5\nnode 13 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,6,0,2,12,11,13,8,1,10,7,9,5,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph970",
        "image": "data/topology/graph_visual/medium/graph970.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node20\nnode 0 should be visited before node17\nnode 0 should be visited before node7\nnode 0 should be visited before node12\nnode 0 should be visited before node19\nnode 0 should be visited before node18\nnode 0 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node15\nnode 1 should be visited before node0\nnode 1 should be visited before node20\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 1 should be visited before node19\nnode 1 should be visited before node2\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node13\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node12\nnode 3 should be visited before node8\nnode 3 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 4 should be visited before node19\nnode 4 should be visited before node18\nnode 4 should be visited before node8\nnode 4 should be visited before node2\nnode 5 should be visited before node11\nnode 5 should be visited before node16\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node6\nnode 5 should be visited before node13\nnode 5 should be visited before node0\nnode 5 should be visited before node20\nnode 5 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node12\nnode 5 should be visited before node18\nnode 5 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node9\nnode 6 should be visited before node15\nnode 6 should be visited before node20\nnode 6 should be visited before node17\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node12\nnode 6 should be visited before node18\nnode 6 should be visited before node8\nnode 6 should be visited before node2\nnode 7 should be visited before node12\nnode 7 should be visited before node19\nnode 7 should be visited before node8\nnode 7 should be visited before node2\nnode 8 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node17\nnode 9 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node15\nnode 10 should be visited before node20\nnode 10 should be visited before node17\nnode 10 should be visited before node4\nnode 10 should be visited before node7\nnode 10 should be visited before node12\nnode 10 should be visited before node8\nnode 10 should be visited before node2\nnode 11 should be visited before node16\nnode 11 should be visited before node13\nnode 11 should be visited before node0\nnode 11 should be visited before node20\nnode 11 should be visited before node17\nnode 11 should be visited before node4\nnode 11 should be visited before node19\nnode 11 should be visited before node18\nnode 11 should be visited before node8\nnode 11 should be visited before node2\nnode 12 should be visited before node19\nnode 12 should be visited before node18\nnode 12 should be visited before node8\nnode 13 should be visited before node9\nnode 13 should be visited before node0\nnode 13 should be visited before node20\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node12\nnode 13 should be visited before node18\nnode 13 should be visited before node8\nnode 14 should be visited before node13\nnode 14 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node17\nnode 14 should be visited before node7\nnode 14 should be visited before node12\nnode 14 should be visited before node19\nnode 14 should be visited before node18\nnode 14 should be visited before node8\nnode 14 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node20\nnode 15 should be visited before node17\nnode 15 should be visited before node4\nnode 15 should be visited before node7\nnode 15 should be visited before node19\nnode 15 should be visited before node18\nnode 15 should be visited before node8\nnode 15 should be visited before node2\nnode 16 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node9\nnode 16 should be visited before node0\nnode 16 should be visited before node20\nnode 16 should be visited before node17\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node19\nnode 16 should be visited before node8\nnode 17 should be visited before node4\nnode 17 should be visited before node19\nnode 17 should be visited before node18\nnode 17 should be visited before node8\nnode 18 should be visited before node8\nnode 18 should be visited before node2\nnode 19 should be visited before node8\nnode 19 should be visited before node2\nnode 20 should be visited before node17\nnode 20 should be visited before node4\nnode 20 should be visited before node12\nnode 20 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,5,11,16,3,1,6,14,13,9,15,0,20,17,4,7,12,19,18,8,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph841",
        "image": "data/topology/graph_visual/medium/graph841.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node17\nnode 0 should be visited before node4\nnode 0 should be visited before node13\nnode 0 should be visited before node18\nnode 0 should be visited before node5\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 1 should be visited before node5\nnode 1 should be visited before node16\nnode 2 should be visited before node11\nnode 2 should be visited before node4\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node15\nnode 2 should be visited before node16\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 3 should be visited before node2\nnode 3 should be visited before node13\nnode 3 should be visited before node10\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node16\nnode 3 should be visited before node19\nnode 4 should be visited before node10\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node19\nnode 5 should be visited before node15\nnode 5 should be visited before node19\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node16\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 7 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node18\nnode 7 should be visited before node5\nnode 7 should be visited before node15\nnode 7 should be visited before node19\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node10\nnode 8 should be visited before node18\nnode 8 should be visited before node16\nnode 8 should be visited before node19\nnode 9 should be visited before node2\nnode 9 should be visited before node11\nnode 9 should be visited before node13\nnode 10 should be visited before node18\nnode 10 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node19\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 12 should be visited before node8\nnode 12 should be visited before node6\nnode 12 should be visited before node0\nnode 12 should be visited before node17\nnode 12 should be visited before node9\nnode 12 should be visited before node14\nnode 12 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node10\nnode 12 should be visited before node18\nnode 12 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node18\nnode 13 should be visited before node5\nnode 14 should be visited before node2\nnode 14 should be visited before node10\nnode 14 should be visited before node1\nnode 14 should be visited before node15\nnode 14 should be visited before node16\nnode 14 should be visited before node19\nnode 15 should be visited before node19\nnode 17 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 17 should be visited before node10\nnode 17 should be visited before node18\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 17 should be visited before node16\nnode 17 should be visited before node19\nnode 18 should be visited before node1\nnode 18 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,12,8,6,7,0,14,17,9,2,13,11,4,10,18,1,5,16,15,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph1245",
        "image": "data/topology/graph_visual/medium/graph1245.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node23\nnode 0 should be visited before node13\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node17\nnode 0 should be visited before node12\nnode 0 should be visited before node11\nnode 0 should be visited before node21\nnode 0 should be visited before node19\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node22\nnode 0 should be visited before node9\nnode 0 should be visited before node10\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node20\nnode 1 should be visited before node15\nnode 1 should be visited before node20\nnode 2 should be visited before node10\nnode 2 should be visited before node16\nnode 2 should be visited before node20\nnode 3 should be visited before node5\nnode 3 should be visited before node17\nnode 3 should be visited before node12\nnode 3 should be visited before node21\nnode 3 should be visited before node22\nnode 3 should be visited before node14\nnode 3 should be visited before node1\nnode 3 should be visited before node8\nnode 3 should be visited before node20\nnode 4 should be visited before node9\nnode 4 should be visited before node16\nnode 4 should be visited before node1\nnode 4 should be visited before node8\nnode 4 should be visited before node15\nnode 4 should be visited before node20\nnode 5 should be visited before node17\nnode 5 should be visited before node12\nnode 5 should be visited before node21\nnode 5 should be visited before node6\nnode 5 should be visited before node22\nnode 5 should be visited before node9\nnode 5 should be visited before node14\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node20\nnode 6 should be visited before node22\nnode 6 should be visited before node9\nnode 6 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node20\nnode 7 should be visited before node13\nnode 7 should be visited before node3\nnode 7 should be visited before node5\nnode 7 should be visited before node17\nnode 7 should be visited before node12\nnode 7 should be visited before node11\nnode 7 should be visited before node21\nnode 7 should be visited before node19\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node20\nnode 8 should be visited before node20\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 9 should be visited before node20\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 10 should be visited before node20\nnode 11 should be visited before node21\nnode 11 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node22\nnode 11 should be visited before node2\nnode 11 should be visited before node14\nnode 11 should be visited before node16\nnode 11 should be visited before node1\nnode 11 should be visited before node8\nnode 11 should be visited before node15\nnode 12 should be visited before node11\nnode 12 should be visited before node6\nnode 12 should be visited before node22\nnode 12 should be visited before node8\nnode 12 should be visited before node15\nnode 13 should be visited before node17\nnode 13 should be visited before node12\nnode 13 should be visited before node11\nnode 13 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node22\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node14\nnode 13 should be visited before node16\nnode 13 should be visited before node1\nnode 13 should be visited before node8\nnode 13 should be visited before node20\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 14 should be visited before node15\nnode 14 should be visited before node20\nnode 15 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node20\nnode 17 should be visited before node12\nnode 17 should be visited before node11\nnode 17 should be visited before node21\nnode 17 should be visited before node19\nnode 17 should be visited before node4\nnode 17 should be visited before node6\nnode 17 should be visited before node22\nnode 17 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node10\nnode 17 should be visited before node14\nnode 17 should be visited before node16\nnode 17 should be visited before node8\nnode 17 should be visited before node20\nnode 18 should be visited before node7\nnode 18 should be visited before node0\nnode 18 should be visited before node3\nnode 18 should be visited before node12\nnode 18 should be visited before node11\nnode 18 should be visited before node21\nnode 18 should be visited before node19\nnode 18 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node22\nnode 18 should be visited before node2\nnode 18 should be visited before node14\nnode 18 should be visited before node16\nnode 18 should be visited before node15\nnode 18 should be visited before node20\nnode 19 should be visited before node4\nnode 19 should be visited before node14\nnode 19 should be visited before node1\nnode 19 should be visited before node20\nnode 21 should be visited before node6\nnode 21 should be visited before node2\nnode 21 should be visited before node10\nnode 21 should be visited before node14\nnode 21 should be visited before node16\nnode 21 should be visited before node1\nnode 21 should be visited before node15\nnode 22 should be visited before node9\nnode 22 should be visited before node10\nnode 22 should be visited before node16\nnode 22 should be visited before node15\nnode 22 should be visited before node20\nnode 23 should be visited before node13\nnode 23 should be visited before node3\nnode 23 should be visited before node17\nnode 23 should be visited before node12\nnode 23 should be visited before node11\nnode 23 should be visited before node21\nnode 23 should be visited before node19\nnode 23 should be visited before node10\nnode 23 should be visited before node16\nnode 23 should be visited before node8\nnode 23 should be visited before node15\nnode 23 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "18,7,0,23,13,3,5,17,12,11,21,19,6,4,22,2,9,10,14,16,8,1,15,20."
            }
        ]
    },
    {
        "id": "topology-medium-graph535",
        "image": "data/topology/graph_visual/medium/graph535.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node14\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 0 should be visited before node7\nnode 0 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node7\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node15\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 3 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node9\nnode 4 should be visited before node13\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 7 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node5\nnode 10 should be visited before node4\nnode 10 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node1\nnode 11 should be visited before node6\nnode 11 should be visited before node8\nnode 11 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node5\nnode 12 should be visited before node15\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 12 should be visited before node6\nnode 12 should be visited before node8\nnode 12 should be visited before node3\nnode 12 should be visited before node7\nnode 12 should be visited before node5\nnode 13 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node13\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 14 should be visited before node7\nnode 14 should be visited before node5\nnode 15 should be visited before node11\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node3\nnode 15 should be visited before node7\nnode 15 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,10,4,12,15,11,0,14,9,13,1,6,7,8,3,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph67",
        "image": "data/topology/graph_visual/medium/graph67.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node9\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node1\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node10\nnode 3 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 5 should be visited before node10\nnode 5 should be visited before node1\nnode 6 should be visited before node7\nnode 6 should be visited before node1\nnode 7 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node10\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node7\nnode 9 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,8,2,9,4,3,6,5,7,10,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph862",
        "image": "data/topology/graph_visual/medium/graph862.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node12\nnode 0 should be visited before node4\nnode 0 should be visited before node14\nnode 1 should be visited before node14\nnode 1 should be visited before node7\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node12\nnode 3 should be visited before node19\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 4 should be visited before node19\nnode 4 should be visited before node7\nnode 5 should be visited before node0\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 5 should be visited before node4\nnode 5 should be visited before node19\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 6 should be visited before node18\nnode 6 should be visited before node16\nnode 6 should be visited before node10\nnode 6 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node12\nnode 8 should be visited before node14\nnode 8 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node10\nnode 9 should be visited before node14\nnode 9 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node19\nnode 10 should be visited before node14\nnode 10 should be visited before node7\nnode 11 should be visited before node18\nnode 11 should be visited before node3\nnode 11 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 11 should be visited before node19\nnode 11 should be visited before node14\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 13 should be visited before node2\nnode 13 should be visited before node15\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node16\nnode 13 should be visited before node3\nnode 13 should be visited before node0\nnode 13 should be visited before node12\nnode 13 should be visited before node19\nnode 13 should be visited before node14\nnode 14 should be visited before node7\nnode 15 should be visited before node18\nnode 15 should be visited before node1\nnode 15 should be visited before node12\nnode 15 should be visited before node14\nnode 16 should be visited before node0\nnode 16 should be visited before node14\nnode 17 should be visited before node5\nnode 17 should be visited before node2\nnode 17 should be visited before node15\nnode 17 should be visited before node6\nnode 17 should be visited before node18\nnode 17 should be visited before node9\nnode 17 should be visited before node0\nnode 17 should be visited before node12\nnode 17 should be visited before node19\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 18 should be visited before node3\nnode 18 should be visited before node10\nnode 18 should be visited before node1\nnode 18 should be visited before node19\nnode 18 should be visited before node7\nnode 19 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,11,13,17,5,2,15,6,9,18,16,3,1,10,0,12,4,19,14,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph510",
        "image": "data/topology/graph_visual/medium/graph510.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 0 should be visited before node15\nnode 0 should be visited before node13\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 1 should be visited before node12\nnode 1 should be visited before node4\nnode 1 should be visited before node15\nnode 1 should be visited before node14\nnode 1 should be visited before node13\nnode 1 should be visited before node5\nnode 2 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node12\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node8\nnode 6 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node15\nnode 6 should be visited before node13\nnode 6 should be visited before node5\nnode 7 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node4\nnode 7 should be visited before node15\nnode 7 should be visited before node13\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 8 should be visited before node15\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 10 should be visited before node8\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node15\nnode 10 should be visited before node14\nnode 10 should be visited before node13\nnode 10 should be visited before node5\nnode 11 should be visited before node6\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 11 should be visited before node10\nnode 11 should be visited before node4\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 11 should be visited before node5\nnode 12 should be visited before node4\nnode 12 should be visited before node15\nnode 12 should be visited before node14\nnode 12 should be visited before node5\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 15 should be visited before node14\nnode 15 should be visited before node13\nnode 15 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,6,3,9,7,0,1,10,8,12,4,15,14,13,2,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph894",
        "image": "data/topology/graph_visual/medium/graph894.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 1 should be visited before node18\nnode 1 should be visited before node12\nnode 1 should be visited before node14\nnode 1 should be visited before node17\nnode 1 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node19\nnode 1 should be visited before node15\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node19\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 3 should be visited before node16\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 4 should be visited before node13\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node14\nnode 4 should be visited before node17\nnode 4 should be visited before node9\nnode 4 should be visited before node15\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 4 should be visited before node16\nnode 4 should be visited before node7\nnode 4 should be visited before node2\nnode 4 should be visited before node11\nnode 4 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node16\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node11\nnode 8 should be visited before node5\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node0\nnode 9 should be visited before node10\nnode 9 should be visited before node19\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 9 should be visited before node0\nnode 10 should be visited before node19\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node16\nnode 10 should be visited before node7\nnode 10 should be visited before node2\nnode 10 should be visited before node0\nnode 11 should be visited before node0\nnode 12 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node10\nnode 12 should be visited before node19\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 12 should be visited before node0\nnode 13 should be visited before node1\nnode 13 should be visited before node18\nnode 13 should be visited before node12\nnode 13 should be visited before node3\nnode 13 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node16\nnode 13 should be visited before node7\nnode 13 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node19\nnode 14 should be visited before node15\nnode 14 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 15 should be visited before node8\nnode 15 should be visited before node5\nnode 15 should be visited before node6\nnode 15 should be visited before node16\nnode 15 should be visited before node2\nnode 15 should be visited before node11\nnode 15 should be visited before node0\nnode 16 should be visited before node7\nnode 16 should be visited before node0\nnode 17 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node19\nnode 17 should be visited before node15\nnode 17 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node16\nnode 17 should be visited before node7\nnode 17 should be visited before node2\nnode 17 should be visited before node11\nnode 17 should be visited before node0\nnode 18 should be visited before node12\nnode 18 should be visited before node3\nnode 18 should be visited before node14\nnode 18 should be visited before node9\nnode 18 should be visited before node10\nnode 18 should be visited before node19\nnode 18 should be visited before node15\nnode 18 should be visited before node8\nnode 18 should be visited before node5\nnode 18 should be visited before node6\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 18 should be visited before node2\nnode 18 should be visited before node11\nnode 19 should be visited before node15\nnode 19 should be visited before node8\nnode 19 should be visited before node16\nnode 19 should be visited before node2\nnode 19 should be visited before node11\nnode 19 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,13,1,18,12,3,14,17,9,10,19,15,8,5,6,16,7,2,11,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph616",
        "image": "data/topology/graph_visual/medium/graph616.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node5\nnode 0 should be visited before node14\nnode 0 should be visited before node10\nnode 0 should be visited before node16\nnode 0 should be visited before node9\nnode 0 should be visited before node4\nnode 0 should be visited before node15\nnode 1 should be visited before node3\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node10\nnode 1 should be visited before node16\nnode 1 should be visited before node4\nnode 1 should be visited before node15\nnode 2 should be visited before node16\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 2 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node16\nnode 3 should be visited before node13\nnode 3 should be visited before node9\nnode 3 should be visited before node15\nnode 4 should be visited before node15\nnode 5 should be visited before node14\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node13\nnode 5 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node14\nnode 7 should be visited before node10\nnode 7 should be visited before node2\nnode 7 should be visited before node16\nnode 7 should be visited before node13\nnode 7 should be visited before node9\nnode 7 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node16\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node15\nnode 9 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node2\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node15\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node0\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 11 should be visited before node16\nnode 11 should be visited before node4\nnode 11 should be visited before node15\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node3\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 13 should be visited before node15\nnode 14 should be visited before node10\nnode 14 should be visited before node2\nnode 14 should be visited before node16\nnode 16 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,12,7,1,3,8,0,5,14,10,6,2,4,16,9,13,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph520",
        "image": "data/topology/graph_visual/medium/graph520.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 0 should be visited before node14\nnode 0 should be visited before node11\nnode 0 should be visited before node10\nnode 1 should be visited before node15\nnode 1 should be visited before node11\nnode 1 should be visited before node10\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 2 should be visited before node15\nnode 2 should be visited before node14\nnode 2 should be visited before node11\nnode 2 should be visited before node10\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node11\nnode 3 should be visited before node10\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 4 should be visited before node10\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node1\nnode 5 should be visited before node15\nnode 5 should be visited before node11\nnode 5 should be visited before node10\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node14\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node15\nnode 7 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 8 should be visited before node0\nnode 8 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node11\nnode 9 should be visited before node10\nnode 11 should be visited before node10\nnode 12 should be visited before node3\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node1\nnode 12 should be visited before node15\nnode 12 should be visited before node14\nnode 12 should be visited before node11\nnode 12 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 13 should be visited before node0\nnode 13 should be visited before node15\nnode 13 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node10\nnode 15 should be visited before node14\nnode 15 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,13,12,3,2,5,9,6,7,4,0,1,15,14,11,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph656",
        "image": "data/topology/graph_visual/medium/graph656.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node3\nnode 0 should be visited before node15\nnode 0 should be visited before node14\nnode 0 should be visited before node7\nnode 1 should be visited before node11\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node13\nnode 2 should be visited before node3\nnode 2 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node12\nnode 2 should be visited before node4\nnode 2 should be visited before node13\nnode 4 should be visited before node6\nnode 4 should be visited before node13\nnode 5 should be visited before node0\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 5 should be visited before node12\nnode 5 should be visited before node4\nnode 6 should be visited before node13\nnode 7 should be visited before node12\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node14\nnode 8 should be visited before node7\nnode 8 should be visited before node13\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node6\nnode 11 should be visited before node9\nnode 11 should be visited before node8\nnode 11 should be visited before node13\nnode 14 should be visited before node7\nnode 14 should be visited before node12\nnode 15 should be visited before node7\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 16 should be visited before node7\nnode 17 should be visited before node5\nnode 17 should be visited before node0\nnode 17 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,10,16,17,11,5,8,0,9,3,15,14,7,12,4,6,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph1278",
        "image": "data/topology/graph_visual/medium/graph1278.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node9\nnode 2 should be visited before node8\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node7\nnode 3 should be visited before node21\nnode 3 should be visited before node8\nnode 4 should be visited before node2\nnode 4 should be visited before node17\nnode 4 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node9\nnode 5 should be visited before node23\nnode 6 should be visited before node20\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node24\nnode 6 should be visited before node11\nnode 6 should be visited before node12\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node21\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 8 should be visited before node15\nnode 8 should be visited before node24\nnode 10 should be visited before node2\nnode 10 should be visited before node21\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 10 should be visited before node24\nnode 11 should be visited before node0\nnode 11 should be visited before node9\nnode 12 should be visited before node9\nnode 12 should be visited before node23\nnode 13 should be visited before node3\nnode 13 should be visited before node6\nnode 13 should be visited before node10\nnode 13 should be visited before node20\nnode 13 should be visited before node2\nnode 13 should be visited before node21\nnode 13 should be visited before node15\nnode 13 should be visited before node14\nnode 13 should be visited before node23\nnode 13 should be visited before node16\nnode 15 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node24\nnode 15 should be visited before node12\nnode 15 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node14\nnode 17 should be visited before node12\nnode 17 should be visited before node0\nnode 17 should be visited before node23\nnode 18 should be visited before node24\nnode 18 should be visited before node12\nnode 18 should be visited before node0\nnode 19 should be visited before node4\nnode 19 should be visited before node10\nnode 19 should be visited before node7\nnode 19 should be visited before node2\nnode 19 should be visited before node21\nnode 19 should be visited before node8\nnode 19 should be visited before node17\nnode 19 should be visited before node12\nnode 19 should be visited before node0\nnode 19 should be visited before node23\nnode 19 should be visited before node16\nnode 20 should be visited before node9\nnode 21 should be visited before node15\nnode 21 should be visited before node14\nnode 21 should be visited before node24\nnode 21 should be visited before node12\nnode 21 should be visited before node9\nnode 21 should be visited before node16\nnode 22 should be visited before node21\nnode 22 should be visited before node8\nnode 22 should be visited before node15\nnode 22 should be visited before node17\nnode 22 should be visited before node11\nnode 22 should be visited before node9\nnode 24 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,13,19,22,3,6,10,4,7,20,17,2,21,11,8,16,15,18,14,24,12,0,1,23,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph715",
        "image": "data/topology/graph_visual/medium/graph715.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node8\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node8\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node16\nnode 3 should be visited before node17\nnode 3 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node16\nnode 4 should be visited before node7\nnode 4 should be visited before node2\nnode 4 should be visited before node17\nnode 4 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 5 should be visited before node8\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node4\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 5 should be visited before node16\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node2\nnode 6 should be visited before node17\nnode 6 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 8 should be visited before node11\nnode 8 should be visited before node16\nnode 8 should be visited before node2\nnode 9 should be visited before node16\nnode 9 should be visited before node7\nnode 9 should be visited before node1\nnode 10 should be visited before node4\nnode 10 should be visited before node9\nnode 10 should be visited before node16\nnode 10 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node1\nnode 11 should be visited before node16\nnode 11 should be visited before node7\nnode 11 should be visited before node17\nnode 11 should be visited before node1\nnode 12 should be visited before node4\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 12 should be visited before node17\nnode 12 should be visited before node1\nnode 13 should be visited before node15\nnode 13 should be visited before node0\nnode 13 should be visited before node6\nnode 13 should be visited before node14\nnode 13 should be visited before node8\nnode 13 should be visited before node10\nnode 13 should be visited before node9\nnode 13 should be visited before node11\nnode 13 should be visited before node16\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 14 should be visited before node8\nnode 14 should be visited before node12\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node2\nnode 14 should be visited before node17\nnode 14 should be visited before node1\nnode 15 should be visited before node0\nnode 15 should be visited before node4\nnode 15 should be visited before node9\nnode 15 should be visited before node11\nnode 15 should be visited before node2\nnode 15 should be visited before node17\nnode 15 should be visited before node1\nnode 16 should be visited before node7\nnode 16 should be visited before node2\nnode 16 should be visited before node17\nnode 16 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,13,3,6,15,14,0,8,10,12,11,4,9,16,7,17,2,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph51",
        "image": "data/topology/graph_visual/medium/graph51.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node4\nnode 0 should be visited before node8\nnode 0 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node5\nnode 4 should be visited before node8\nnode 4 should be visited before node6\nnode 5 should be visited before node6\nnode 7 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node9\nnode 8 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,10,1,7,0,5,4,9,8,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph669",
        "image": "data/topology/graph_visual/medium/graph669.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node15\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 1 should be visited before node14\nnode 1 should be visited before node17\nnode 1 should be visited before node11\nnode 1 should be visited before node15\nnode 2 should be visited before node0\nnode 2 should be visited before node11\nnode 3 should be visited before node14\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 4 should be visited before node14\nnode 4 should be visited before node2\nnode 4 should be visited before node0\nnode 4 should be visited before node11\nnode 5 should be visited before node16\nnode 5 should be visited before node9\nnode 5 should be visited before node12\nnode 5 should be visited before node10\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node2\nnode 5 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node17\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node2\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node11\nnode 9 should be visited before node15\nnode 10 should be visited before node1\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 11 should be visited before node15\nnode 12 should be visited before node10\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 13 should be visited before node6\nnode 13 should be visited before node4\nnode 13 should be visited before node14\nnode 14 should be visited before node0\nnode 14 should be visited before node11\nnode 14 should be visited before node15\nnode 16 should be visited before node9\nnode 16 should be visited before node1\nnode 16 should be visited before node6\nnode 16 should be visited before node3\nnode 16 should be visited before node14\nnode 16 should be visited before node17\nnode 16 should be visited before node0\nnode 16 should be visited before node11\nnode 17 should be visited before node0\nnode 17 should be visited before node11\nnode 17 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,13,5,16,12,9,10,1,7,4,6,3,17,14,2,0,11,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph622",
        "image": "data/topology/graph_visual/medium/graph622.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node9\nnode 2 should be visited before node15\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node11\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 5 should be visited before node0\nnode 6 should be visited before node14\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node15\nnode 6 should be visited before node5\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 8 should be visited before node0\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 9 should be visited before node8\nnode 10 should be visited before node9\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 11 should be visited before node9\nnode 11 should be visited before node15\nnode 11 should be visited before node5\nnode 12 should be visited before node6\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 12 should be visited before node1\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 13 should be visited before node14\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 13 should be visited before node15\nnode 14 should be visited before node2\nnode 14 should be visited before node3\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node10\nnode 14 should be visited before node9\nnode 14 should be visited before node15\nnode 15 should be visited before node8\nnode 15 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node3\nnode 16 should be visited before node11\nnode 16 should be visited before node1\nnode 16 should be visited before node9\nnode 16 should be visited before node7\nnode 16 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,12,16,6,13,14,2,3,11,1,10,7,9,15,5,8,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph1293",
        "image": "data/topology/graph_visual/medium/graph1293.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node20\nnode 1 should be visited before node16\nnode 1 should be visited before node4\nnode 1 should be visited before node22\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node18\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 3 should be visited before node8\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 3 should be visited before node0\nnode 3 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 4 should be visited before node11\nnode 4 should be visited before node6\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node4\nnode 7 should be visited before node22\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 8 should be visited before node16\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node2\nnode 8 should be visited before node22\nnode 8 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node18\nnode 9 should be visited before node18\nnode 10 should be visited before node7\nnode 10 should be visited before node20\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node2\nnode 10 should be visited before node22\nnode 10 should be visited before node14\nnode 10 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 11 should be visited before node5\nnode 12 should be visited before node23\nnode 12 should be visited before node24\nnode 12 should be visited before node10\nnode 12 should be visited before node21\nnode 12 should be visited before node19\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node9\nnode 12 should be visited before node11\nnode 12 should be visited before node18\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 13 should be visited before node6\nnode 13 should be visited before node0\nnode 13 should be visited before node5\nnode 13 should be visited before node18\nnode 14 should be visited before node18\nnode 15 should be visited before node12\nnode 15 should be visited before node23\nnode 15 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node17\nnode 15 should be visited before node21\nnode 15 should be visited before node19\nnode 15 should be visited before node8\nnode 15 should be visited before node13\nnode 15 should be visited before node2\nnode 15 should be visited before node9\nnode 15 should be visited before node14\nnode 15 should be visited before node18\nnode 16 should be visited before node4\nnode 16 should be visited before node13\nnode 16 should be visited before node2\nnode 16 should be visited before node22\nnode 16 should be visited before node9\nnode 16 should be visited before node18\nnode 17 should be visited before node21\nnode 17 should be visited before node19\nnode 17 should be visited before node8\nnode 17 should be visited before node4\nnode 17 should be visited before node14\nnode 17 should be visited before node6\nnode 19 should be visited before node3\nnode 19 should be visited before node8\nnode 19 should be visited before node13\nnode 19 should be visited before node2\nnode 19 should be visited before node22\nnode 19 should be visited before node14\nnode 19 should be visited before node11\nnode 19 should be visited before node5\nnode 19 should be visited before node18\nnode 20 should be visited before node9\nnode 20 should be visited before node5\nnode 20 should be visited before node18\nnode 21 should be visited before node7\nnode 21 should be visited before node3\nnode 21 should be visited before node8\nnode 21 should be visited before node20\nnode 21 should be visited before node4\nnode 21 should be visited before node2\nnode 21 should be visited before node9\nnode 21 should be visited before node6\nnode 21 should be visited before node0\nnode 21 should be visited before node5\nnode 22 should be visited before node14\nnode 22 should be visited before node5\nnode 23 should be visited before node1\nnode 23 should be visited before node24\nnode 23 should be visited before node10\nnode 23 should be visited before node19\nnode 23 should be visited before node7\nnode 23 should be visited before node3\nnode 23 should be visited before node8\nnode 23 should be visited before node20\nnode 23 should be visited before node13\nnode 23 should be visited before node2\nnode 23 should be visited before node14\nnode 23 should be visited before node11\nnode 23 should be visited before node5\nnode 24 should be visited before node10\nnode 24 should be visited before node17\nnode 24 should be visited before node3\nnode 24 should be visited before node8\nnode 24 should be visited before node20\nnode 24 should be visited before node16\nnode 24 should be visited before node13\nnode 24 should be visited before node14\nnode 24 should be visited before node11\nnode 24 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,12,23,1,24,10,17,21,19,7,20,3,8,16,4,13,22,11,2,6,9,14,0,5,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph1073",
        "image": "data/topology/graph_visual/medium/graph1073.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 2 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node19\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 4 should be visited before node19\nnode 4 should be visited before node13\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 6 should be visited before node0\nnode 7 should be visited before node20\nnode 7 should be visited before node18\nnode 7 should be visited before node11\nnode 7 should be visited before node19\nnode 7 should be visited before node1\nnode 7 should be visited before node5\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 8 should be visited before node10\nnode 8 should be visited before node16\nnode 8 should be visited before node12\nnode 8 should be visited before node7\nnode 8 should be visited before node20\nnode 8 should be visited before node18\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node19\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node9\nnode 10 should be visited before node17\nnode 10 should be visited before node16\nnode 10 should be visited before node15\nnode 10 should be visited before node12\nnode 10 should be visited before node7\nnode 10 should be visited before node18\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node13\nnode 10 should be visited before node5\nnode 10 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node19\nnode 11 should be visited before node5\nnode 11 should be visited before node0\nnode 11 should be visited before node9\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node18\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node4\nnode 12 should be visited before node1\nnode 12 should be visited before node13\nnode 12 should be visited before node5\nnode 12 should be visited before node6\nnode 12 should be visited before node9\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node0\nnode 13 should be visited before node9\nnode 14 should be visited before node20\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node4\nnode 14 should be visited before node1\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node6\nnode 14 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node7\nnode 15 should be visited before node20\nnode 15 should be visited before node18\nnode 15 should be visited before node2\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 15 should be visited before node5\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 16 should be visited before node15\nnode 16 should be visited before node7\nnode 16 should be visited before node18\nnode 16 should be visited before node2\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node4\nnode 16 should be visited before node19\nnode 16 should be visited before node13\nnode 16 should be visited before node5\nnode 16 should be visited before node6\nnode 16 should be visited before node0\nnode 17 should be visited before node16\nnode 17 should be visited before node15\nnode 17 should be visited before node12\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node20\nnode 17 should be visited before node2\nnode 17 should be visited before node11\nnode 17 should be visited before node4\nnode 17 should be visited before node19\nnode 17 should be visited before node1\nnode 17 should be visited before node5\nnode 17 should be visited before node6\nnode 17 should be visited before node0\nnode 17 should be visited before node9\nnode 18 should be visited before node2\nnode 18 should be visited before node19\nnode 18 should be visited before node13\nnode 18 should be visited before node5\nnode 18 should be visited before node0\nnode 18 should be visited before node9\nnode 19 should be visited before node1\nnode 19 should be visited before node13\nnode 19 should be visited before node5\nnode 19 should be visited before node6\nnode 19 should be visited before node0\nnode 19 should be visited before node9\nnode 20 should be visited before node18\nnode 20 should be visited before node3\nnode 20 should be visited before node4\nnode 20 should be visited before node19\nnode 20 should be visited before node0\nnode 21 should be visited before node16\nnode 21 should be visited before node15\nnode 21 should be visited before node12\nnode 21 should be visited before node7\nnode 21 should be visited before node20\nnode 21 should be visited before node2\nnode 21 should be visited before node4\nnode 21 should be visited before node19\nnode 21 should be visited before node13\nnode 21 should be visited before node5\nnode 21 should be visited before node6\nnode 21 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,21,10,17,16,15,12,14,7,20,11,18,2,3,4,19,1,13,5,6,0,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph1291",
        "image": "data/topology/graph_visual/medium/graph1291.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node23\nnode 0 should be visited before node22\nnode 0 should be visited before node2\nnode 0 should be visited before node24\nnode 0 should be visited before node17\nnode 0 should be visited before node10\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 0 should be visited before node9\nnode 0 should be visited before node16\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 1 should be visited before node12\nnode 1 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node17\nnode 2 should be visited before node10\nnode 2 should be visited before node11\nnode 2 should be visited before node15\nnode 2 should be visited before node19\nnode 2 should be visited before node9\nnode 2 should be visited before node3\nnode 4 should be visited before node21\nnode 4 should be visited before node23\nnode 4 should be visited before node14\nnode 4 should be visited before node6\nnode 4 should be visited before node22\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 4 should be visited before node24\nnode 4 should be visited before node17\nnode 4 should be visited before node11\nnode 4 should be visited before node18\nnode 4 should be visited before node15\nnode 4 should be visited before node19\nnode 4 should be visited before node16\nnode 4 should be visited before node5\nnode 4 should be visited before node13\nnode 4 should be visited before node1\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 5 should be visited before node3\nnode 6 should be visited before node22\nnode 6 should be visited before node20\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node17\nnode 6 should be visited before node10\nnode 6 should be visited before node18\nnode 6 should be visited before node19\nnode 6 should be visited before node16\nnode 6 should be visited before node12\nnode 7 should be visited before node21\nnode 7 should be visited before node23\nnode 7 should be visited before node6\nnode 7 should be visited before node20\nnode 7 should be visited before node24\nnode 7 should be visited before node11\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node12\nnode 8 should be visited before node24\nnode 8 should be visited before node10\nnode 8 should be visited before node15\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node3\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node19\nnode 10 should be visited before node5\nnode 10 should be visited before node13\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node13\nnode 11 should be visited before node12\nnode 11 should be visited before node3\nnode 12 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node2\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node15\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node5\nnode 14 should be visited before node13\nnode 14 should be visited before node1\nnode 14 should be visited before node12\nnode 15 should be visited before node19\nnode 15 should be visited before node9\nnode 15 should be visited before node13\nnode 15 should be visited before node3\nnode 16 should be visited before node13\nnode 16 should be visited before node1\nnode 16 should be visited before node3\nnode 17 should be visited before node10\nnode 17 should be visited before node11\nnode 17 should be visited before node18\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 17 should be visited before node16\nnode 17 should be visited before node1\nnode 17 should be visited before node12\nnode 17 should be visited before node3\nnode 18 should be visited before node15\nnode 18 should be visited before node19\nnode 18 should be visited before node5\nnode 18 should be visited before node1\nnode 18 should be visited before node12\nnode 19 should be visited before node16\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 20 should be visited before node2\nnode 20 should be visited before node24\nnode 20 should be visited before node10\nnode 20 should be visited before node19\nnode 20 should be visited before node9\nnode 20 should be visited before node5\nnode 20 should be visited before node13\nnode 21 should be visited before node14\nnode 21 should be visited before node6\nnode 21 should be visited before node2\nnode 21 should be visited before node8\nnode 21 should be visited before node24\nnode 21 should be visited before node18\nnode 21 should be visited before node15\nnode 21 should be visited before node1\nnode 21 should be visited before node12\nnode 21 should be visited before node3\nnode 22 should be visited before node20\nnode 22 should be visited before node2\nnode 22 should be visited before node17\nnode 22 should be visited before node10\nnode 22 should be visited before node19\nnode 22 should be visited before node16\nnode 22 should be visited before node5\nnode 22 should be visited before node13\nnode 23 should be visited before node14\nnode 23 should be visited before node6\nnode 23 should be visited before node22\nnode 23 should be visited before node10\nnode 23 should be visited before node18\nnode 23 should be visited before node19\nnode 23 should be visited before node5\nnode 23 should be visited before node13\nnode 23 should be visited before node1\nnode 23 should be visited before node12\nnode 24 should be visited before node17\nnode 24 should be visited before node11\nnode 24 should be visited before node18\nnode 24 should be visited before node15\nnode 24 should be visited before node16\nnode 24 should be visited before node5\nnode 24 should be visited before node1\nnode 24 should be visited before node12\nnode 24 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,7,21,23,14,6,22,20,2,8,24,17,10,11,18,15,5,19,9,16,13,1,12,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph653",
        "image": "data/topology/graph_visual/medium/graph653.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node16\nnode 0 should be visited before node8\nnode 2 should be visited before node17\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 5 should be visited before node3\nnode 7 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node16\nnode 7 should be visited before node13\nnode 7 should be visited before node17\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 10 should be visited before node8\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 11 should be visited before node1\nnode 12 should be visited before node6\nnode 12 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node3\nnode 14 should be visited before node8\nnode 15 should be visited before node17\nnode 15 should be visited before node14\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 16 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,7,9,2,11,15,16,4,5,10,12,13,1,6,14,17,3,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph2",
        "image": "data/topology/graph_visual/medium/graph2.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node2\nnode 1 should be visited before node6\nnode 1 should be visited before node10\nnode 2 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node5\nnode 7 should be visited before node2\nnode 8 should be visited before node5\nnode 9 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 9 should be visited before node10\nnode 10 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,8,0,9,7,4,1,2,6,10,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph683",
        "image": "data/topology/graph_visual/medium/graph683.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 0 should be visited before node9\nnode 0 should be visited before node17\nnode 0 should be visited before node12\nnode 0 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 1 should be visited before node17\nnode 1 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 3 should be visited before node11\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 3 should be visited before node13\nnode 3 should be visited before node17\nnode 3 should be visited before node12\nnode 3 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node9\nnode 5 should be visited before node17\nnode 5 should be visited before node12\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 7 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node16\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node10\nnode 8 should be visited before node4\nnode 9 should be visited before node17\nnode 9 should be visited before node12\nnode 10 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node9\nnode 11 should be visited before node6\nnode 11 should be visited before node16\nnode 11 should be visited before node14\nnode 11 should be visited before node7\nnode 11 should be visited before node9\nnode 11 should be visited before node17\nnode 11 should be visited before node12\nnode 11 should be visited before node4\nnode 12 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node17\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 14 should be visited before node1\nnode 14 should be visited before node5\nnode 14 should be visited before node10\nnode 14 should be visited before node13\nnode 14 should be visited before node7\nnode 14 should be visited before node17\nnode 14 should be visited before node4\nnode 15 should be visited before node8\nnode 15 should be visited before node3\nnode 15 should be visited before node6\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node4\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 16 should be visited before node9\nnode 16 should be visited before node4\nnode 17 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,8,3,2,11,6,16,0,14,1,5,10,13,7,9,17,12,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph597",
        "image": "data/topology/graph_visual/medium/graph597.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node7\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 0 should be visited before node12\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 0 should be visited before node10\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 1 should be visited before node15\nnode 1 should be visited before node10\nnode 1 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node10\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 3 should be visited before node16\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node11\nnode 4 should be visited before node14\nnode 4 should be visited before node2\nnode 4 should be visited before node12\nnode 4 should be visited before node1\nnode 4 should be visited before node15\nnode 4 should be visited before node6\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 6 should be visited before node11\nnode 7 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node8\nnode 7 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 8 should be visited before node6\nnode 9 should be visited before node7\nnode 9 should be visited before node16\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 12 should be visited before node8\nnode 12 should be visited before node13\nnode 12 should be visited before node15\nnode 12 should be visited before node11\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 14 should be visited before node2\nnode 14 should be visited before node1\nnode 16 should be visited before node4\nnode 16 should be visited before node8\nnode 16 should be visited before node13\nnode 16 should be visited before node10\nnode 16 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,9,0,7,16,5,4,14,12,2,13,8,1,15,10,6,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph342",
        "image": "data/topology/graph_visual/medium/graph342.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node12\nnode 0 should be visited before node13\nnode 0 should be visited before node11\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 1 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node4\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 2 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node12\nnode 3 should be visited before node13\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node13\nnode 4 should be visited before node9\nnode 4 should be visited before node11\nnode 5 should be visited before node10\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node4\nnode 5 should be visited before node13\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node9\nnode 7 should be visited before node10\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node6\nnode 7 should be visited before node8\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node9\nnode 7 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 9 should be visited before node11\nnode 10 should be visited before node0\nnode 10 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node12\nnode 10 should be visited before node13\nnode 10 should be visited before node11\nnode 12 should be visited before node9\nnode 13 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,7,10,0,2,8,6,1,3,4,12,13,9,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph189",
        "image": "data/topology/graph_visual/medium/graph189.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 1 should be visited before node8\nnode 1 should be visited before node12\nnode 1 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node12\nnode 2 should be visited before node5\nnode 3 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 6 should be visited before node10\nnode 8 should be visited before node5\nnode 9 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node12\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,9,11,1,2,8,3,6,12,7,5,10,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph697",
        "image": "data/topology/graph_visual/medium/graph697.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node9\nnode 0 should be visited before node10\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node16\nnode 0 should be visited before node5\nnode 0 should be visited before node12\nnode 0 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node2\nnode 1 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node16\nnode 1 should be visited before node14\nnode 1 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node13\nnode 2 should be visited before node16\nnode 2 should be visited before node12\nnode 2 should be visited before node14\nnode 2 should be visited before node3\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 4 should be visited before node16\nnode 4 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node14\nnode 4 should be visited before node3\nnode 5 should be visited before node3\nnode 6 should be visited before node13\nnode 6 should be visited before node16\nnode 6 should be visited before node12\nnode 6 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node2\nnode 7 should be visited before node6\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node14\nnode 7 should be visited before node3\nnode 8 should be visited before node16\nnode 8 should be visited before node5\nnode 8 should be visited before node14\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node16\nnode 9 should be visited before node5\nnode 9 should be visited before node12\nnode 9 should be visited before node14\nnode 10 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node13\nnode 10 should be visited before node8\nnode 10 should be visited before node16\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node3\nnode 11 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node14\nnode 12 should be visited before node14\nnode 13 should be visited before node8\nnode 13 should be visited before node16\nnode 13 should be visited before node5\nnode 13 should be visited before node14\nnode 13 should be visited before node3\nnode 14 should be visited before node3\nnode 15 should be visited before node9\nnode 15 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node11\nnode 15 should be visited before node2\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 15 should be visited before node16\nnode 15 should be visited before node5\nnode 15 should be visited before node12\nnode 15 should be visited before node14\nnode 15 should be visited before node3\nnode 16 should be visited before node12\nnode 16 should be visited before node14\nnode 16 should be visited before node3\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 17 should be visited before node10\nnode 17 should be visited before node11\nnode 17 should be visited before node2\nnode 17 should be visited before node6\nnode 17 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node5\nnode 17 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,17,7,15,0,9,11,1,10,2,6,13,8,16,5,12,14,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph459",
        "image": "data/topology/graph_visual/medium/graph459.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node12\nnode 2 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node8\nnode 3 should be visited before node2\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 5 should be visited before node12\nnode 5 should be visited before node9\nnode 6 should be visited before node2\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 7 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node9\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 13 should be visited before node8\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node2\nnode 14 should be visited before node9\nnode 15 should be visited before node7\nnode 15 should be visited before node0\nnode 15 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,10,11,14,15,13,7,8,4,6,0,5,2,12,9,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph879",
        "image": "data/topology/graph_visual/medium/graph879.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node17\nnode 2 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 3 should be visited before node17\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 4 should be visited before node0\nnode 5 should be visited before node4\nnode 5 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node1\nnode 8 should be visited before node4\nnode 8 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node4\nnode 10 should be visited before node18\nnode 10 should be visited before node12\nnode 10 should be visited before node16\nnode 10 should be visited before node15\nnode 10 should be visited before node13\nnode 10 should be visited before node3\nnode 10 should be visited before node17\nnode 10 should be visited before node8\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node15\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node17\nnode 11 should be visited before node7\nnode 11 should be visited before node8\nnode 11 should be visited before node9\nnode 11 should be visited before node5\nnode 11 should be visited before node4\nnode 12 should be visited before node16\nnode 12 should be visited before node15\nnode 12 should be visited before node13\nnode 12 should be visited before node3\nnode 12 should be visited before node17\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 12 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node5\nnode 13 should be visited before node0\nnode 14 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node15\nnode 14 should be visited before node17\nnode 14 should be visited before node6\nnode 14 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node2\nnode 15 should be visited before node3\nnode 15 should be visited before node7\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node9\nnode 15 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node3\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 16 should be visited before node9\nnode 17 should be visited before node7\nnode 17 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node9\nnode 17 should be visited before node5\nnode 17 should be visited before node4\nnode 17 should be visited before node0\nnode 18 should be visited before node12\nnode 18 should be visited before node16\nnode 18 should be visited before node15\nnode 18 should be visited before node13\nnode 18 should be visited before node2\nnode 18 should be visited before node17\nnode 18 should be visited before node7\nnode 18 should be visited before node8\nnode 18 should be visited before node6\nnode 18 should be visited before node1\nnode 18 should be visited before node9\nnode 18 should be visited before node4\nnode 19 should be visited before node11\nnode 19 should be visited before node10\nnode 19 should be visited before node14\nnode 19 should be visited before node12\nnode 19 should be visited before node15\nnode 19 should be visited before node13\nnode 19 should be visited before node2\nnode 19 should be visited before node3\nnode 19 should be visited before node17\nnode 19 should be visited before node7\nnode 19 should be visited before node8\nnode 19 should be visited before node1\nnode 19 should be visited before node4\nnode 19 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,11,14,10,18,12,16,15,13,2,3,17,7,8,6,1,9,5,4,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph488",
        "image": "data/topology/graph_visual/medium/graph488.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 7 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node14\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 10 should be visited before node12\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node14\nnode 11 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node7\nnode 11 should be visited before node4\nnode 11 should be visited before node3\nnode 12 should be visited before node2\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node5\nnode 13 should be visited before node0\nnode 13 should be visited before node1\nnode 13 should be visited before node6\nnode 13 should be visited before node3\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 15 should be visited before node7\nnode 15 should be visited before node6\nnode 15 should be visited before node4\nnode 15 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,9,11,13,15,10,5,12,0,2,1,7,3,6,4,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph1232",
        "image": "data/topology/graph_visual/medium/graph1232.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node18\nnode 0 should be visited before node20\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node19\nnode 0 should be visited before node5\nnode 0 should be visited before node17\nnode 1 should be visited before node23\nnode 1 should be visited before node0\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node20\nnode 1 should be visited before node7\nnode 1 should be visited before node14\nnode 1 should be visited before node6\nnode 1 should be visited before node19\nnode 1 should be visited before node5\nnode 1 should be visited before node22\nnode 2 should be visited before node18\nnode 2 should be visited before node20\nnode 2 should be visited before node4\nnode 2 should be visited before node14\nnode 2 should be visited before node19\nnode 2 should be visited before node5\nnode 2 should be visited before node22\nnode 3 should be visited before node10\nnode 3 should be visited before node20\nnode 3 should be visited before node4\nnode 3 should be visited before node7\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 3 should be visited before node6\nnode 3 should be visited before node19\nnode 3 should be visited before node5\nnode 3 should be visited before node22\nnode 3 should be visited before node17\nnode 4 should be visited before node5\nnode 4 should be visited before node22\nnode 4 should be visited before node17\nnode 5 should be visited before node22\nnode 5 should be visited before node17\nnode 6 should be visited before node19\nnode 6 should be visited before node5\nnode 6 should be visited before node22\nnode 6 should be visited before node17\nnode 7 should be visited before node14\nnode 7 should be visited before node6\nnode 7 should be visited before node22\nnode 7 should be visited before node17\nnode 8 should be visited before node23\nnode 8 should be visited before node12\nnode 8 should be visited before node13\nnode 8 should be visited before node2\nnode 8 should be visited before node18\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node6\nnode 8 should be visited before node19\nnode 8 should be visited before node22\nnode 8 should be visited before node17\nnode 9 should be visited before node14\nnode 9 should be visited before node6\nnode 9 should be visited before node19\nnode 9 should be visited before node22\nnode 9 should be visited before node17\nnode 10 should be visited before node20\nnode 10 should be visited before node7\nnode 10 should be visited before node9\nnode 10 should be visited before node14\nnode 10 should be visited before node6\nnode 10 should be visited before node19\nnode 10 should be visited before node5\nnode 10 should be visited before node22\nnode 10 should be visited before node17\nnode 11 should be visited before node16\nnode 11 should be visited before node21\nnode 11 should be visited before node15\nnode 11 should be visited before node23\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 11 should be visited before node18\nnode 11 should be visited before node20\nnode 11 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node14\nnode 11 should be visited before node19\nnode 11 should be visited before node5\nnode 11 should be visited before node22\nnode 11 should be visited before node17\nnode 12 should be visited before node2\nnode 12 should be visited before node3\nnode 12 should be visited before node18\nnode 12 should be visited before node4\nnode 12 should be visited before node9\nnode 12 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node22\nnode 12 should be visited before node17\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node18\nnode 13 should be visited before node20\nnode 13 should be visited before node4\nnode 13 should be visited before node14\nnode 13 should be visited before node19\nnode 13 should be visited before node5\nnode 13 should be visited before node22\nnode 14 should be visited before node19\nnode 14 should be visited before node17\nnode 15 should be visited before node1\nnode 15 should be visited before node23\nnode 15 should be visited before node0\nnode 15 should be visited before node12\nnode 15 should be visited before node13\nnode 15 should be visited before node3\nnode 15 should be visited before node10\nnode 15 should be visited before node7\nnode 15 should be visited before node6\nnode 15 should be visited before node19\nnode 15 should be visited before node5\nnode 15 should be visited before node17\nnode 16 should be visited before node21\nnode 16 should be visited before node8\nnode 16 should be visited before node1\nnode 16 should be visited before node23\nnode 16 should be visited before node0\nnode 16 should be visited before node12\nnode 16 should be visited before node13\nnode 16 should be visited before node3\nnode 16 should be visited before node10\nnode 16 should be visited before node20\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node5\nnode 16 should be visited before node22\nnode 16 should be visited before node17\nnode 18 should be visited before node20\nnode 18 should be visited before node4\nnode 18 should be visited before node7\nnode 18 should be visited before node9\nnode 18 should be visited before node19\nnode 18 should be visited before node5\nnode 19 should be visited before node5\nnode 19 should be visited before node17\nnode 20 should be visited before node4\nnode 20 should be visited before node7\nnode 20 should be visited before node9\nnode 20 should be visited before node14\nnode 20 should be visited before node6\nnode 20 should be visited before node19\nnode 20 should be visited before node5\nnode 20 should be visited before node17\nnode 21 should be visited before node8\nnode 21 should be visited before node15\nnode 21 should be visited before node0\nnode 21 should be visited before node12\nnode 21 should be visited before node2\nnode 21 should be visited before node3\nnode 21 should be visited before node10\nnode 21 should be visited before node18\nnode 21 should be visited before node20\nnode 21 should be visited before node4\nnode 21 should be visited before node7\nnode 21 should be visited before node14\nnode 21 should be visited before node6\nnode 21 should be visited before node19\nnode 21 should be visited before node5\nnode 21 should be visited before node22\nnode 23 should be visited before node0\nnode 23 should be visited before node12\nnode 23 should be visited before node13\nnode 23 should be visited before node10\nnode 23 should be visited before node7\nnode 23 should be visited before node9\nnode 23 should be visited before node14\nnode 23 should be visited before node19\nnode 23 should be visited before node5\nnode 23 should be visited before node22\nnode 23 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,16,21,8,15,1,23,0,12,13,2,3,18,10,20,4,7,9,14,6,19,5,22,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph423",
        "image": "data/topology/graph_visual/medium/graph423.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node10\nnode 0 should be visited before node3\nnode 0 should be visited before node12\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node9\nnode 1 should be visited before node13\nnode 1 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 2 should be visited before node7\nnode 3 should be visited before node12\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 5 should be visited before node8\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 8 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node6\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 9 should be visited before node7\nnode 10 should be visited before node3\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node8\nnode 10 should be visited before node13\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 11 should be visited before node1\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node9\nnode 12 should be visited before node5\nnode 12 should be visited before node8\nnode 12 should be visited before node11\nnode 12 should be visited before node13\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 13 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 14 should be visited before node6\nnode 14 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,0,10,3,12,14,5,8,11,1,13,4,6,9,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph1080",
        "image": "data/topology/graph_visual/medium/graph1080.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node21\nnode 0 should be visited before node18\nnode 0 should be visited before node2\nnode 0 should be visited before node10\nnode 1 should be visited before node15\nnode 1 should be visited before node2\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 3 should be visited before node1\nnode 3 should be visited before node18\nnode 3 should be visited before node2\nnode 3 should be visited before node6\nnode 3 should be visited before node10\nnode 4 should be visited before node11\nnode 4 should be visited before node13\nnode 5 should be visited before node14\nnode 7 should be visited before node4\nnode 7 should be visited before node14\nnode 7 should be visited before node11\nnode 8 should be visited before node13\nnode 9 should be visited before node18\nnode 9 should be visited before node15\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node14\nnode 9 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 11 should be visited before node13\nnode 12 should be visited before node19\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node4\nnode 15 should be visited before node8\nnode 15 should be visited before node13\nnode 16 should be visited before node20\nnode 16 should be visited before node3\nnode 16 should be visited before node18\nnode 16 should be visited before node6\nnode 16 should be visited before node4\nnode 17 should be visited before node5\nnode 17 should be visited before node12\nnode 17 should be visited before node1\nnode 17 should be visited before node11\nnode 18 should be visited before node2\nnode 18 should be visited before node6\nnode 18 should be visited before node4\nnode 18 should be visited before node14\nnode 18 should be visited before node13\nnode 19 should be visited before node21\nnode 19 should be visited before node1\nnode 19 should be visited before node2\nnode 19 should be visited before node11\nnode 20 should be visited before node8\nnode 21 should be visited before node15\nnode 21 should be visited before node7\nnode 21 should be visited before node4\nnode 21 should be visited before node14\nnode 22 should be visited before node5\nnode 22 should be visited before node9\nnode 22 should be visited before node19\nnode 22 should be visited before node1\nnode 22 should be visited before node2\nnode 22 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,16,17,22,20,3,12,5,9,19,18,21,1,7,15,2,8,6,10,4,14,11,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph885",
        "image": "data/topology/graph_visual/medium/graph885.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node14\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node13\nnode 1 should be visited before node9\nnode 1 should be visited before node15\nnode 1 should be visited before node10\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node2\nnode 1 should be visited before node8\nnode 1 should be visited before node16\nnode 1 should be visited before node13\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node16\nnode 2 should be visited before node13\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node16\nnode 4 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node16\nnode 5 should be visited before node13\nnode 6 should be visited before node18\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 6 should be visited before node12\nnode 6 should be visited before node15\nnode 6 should be visited before node10\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node14\nnode 6 should be visited before node11\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node16\nnode 6 should be visited before node13\nnode 7 should be visited before node19\nnode 7 should be visited before node10\nnode 7 should be visited before node4\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 8 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node12\nnode 9 should be visited before node19\nnode 9 should be visited before node10\nnode 9 should be visited before node14\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node16\nnode 9 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node16\nnode 10 should be visited before node13\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node16\nnode 11 should be visited before node13\nnode 12 should be visited before node19\nnode 12 should be visited before node15\nnode 12 should be visited before node10\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node2\nnode 14 should be visited before node3\nnode 14 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node13\nnode 15 should be visited before node10\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node14\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 16 should be visited before node13\nnode 17 should be visited before node7\nnode 17 should be visited before node12\nnode 17 should be visited before node19\nnode 17 should be visited before node15\nnode 17 should be visited before node10\nnode 17 should be visited before node0\nnode 17 should be visited before node14\nnode 17 should be visited before node11\nnode 17 should be visited before node2\nnode 17 should be visited before node3\nnode 18 should be visited before node1\nnode 18 should be visited before node9\nnode 18 should be visited before node17\nnode 18 should be visited before node19\nnode 18 should be visited before node15\nnode 18 should be visited before node4\nnode 18 should be visited before node0\nnode 18 should be visited before node14\nnode 18 should be visited before node2\nnode 18 should be visited before node3\nnode 18 should be visited before node8\nnode 18 should be visited before node16\nnode 18 should be visited before node13\nnode 19 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node0\nnode 19 should be visited before node11\nnode 19 should be visited before node2\nnode 19 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,18,1,17,9,7,12,19,15,10,4,0,5,14,11,2,3,8,16,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph954",
        "image": "data/topology/graph_visual/medium/graph954.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node15\nnode 0 should be visited before node13\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 0 should be visited before node18\nnode 1 should be visited before node18\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node9\nnode 2 should be visited before node18\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node0\nnode 3 should be visited before node19\nnode 3 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 4 should be visited before node20\nnode 4 should be visited before node0\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node13\nnode 4 should be visited before node6\nnode 4 should be visited before node9\nnode 4 should be visited before node18\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 5 should be visited before node17\nnode 5 should be visited before node0\nnode 5 should be visited before node19\nnode 5 should be visited before node14\nnode 5 should be visited before node13\nnode 5 should be visited before node8\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node18\nnode 6 should be visited before node9\nnode 6 should be visited before node12\nnode 7 should be visited before node20\nnode 7 should be visited before node17\nnode 7 should be visited before node10\nnode 7 should be visited before node16\nnode 7 should be visited before node0\nnode 7 should be visited before node19\nnode 7 should be visited before node11\nnode 7 should be visited before node2\nnode 7 should be visited before node15\nnode 7 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 9 should be visited before node18\nnode 10 should be visited before node16\nnode 10 should be visited before node0\nnode 10 should be visited before node19\nnode 10 should be visited before node11\nnode 10 should be visited before node2\nnode 10 should be visited before node13\nnode 10 should be visited before node8\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node15\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node9\nnode 11 should be visited before node12\nnode 11 should be visited before node18\nnode 12 should be visited before node18\nnode 13 should be visited before node8\nnode 13 should be visited before node1\nnode 13 should be visited before node18\nnode 14 should be visited before node11\nnode 14 should be visited before node13\nnode 14 should be visited before node1\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node18\nnode 16 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node13\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 16 should be visited before node12\nnode 17 should be visited before node10\nnode 17 should be visited before node11\nnode 17 should be visited before node2\nnode 17 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 17 should be visited before node18\nnode 19 should be visited before node11\nnode 19 should be visited before node2\nnode 19 should be visited before node6\nnode 19 should be visited before node12\nnode 20 should be visited before node17\nnode 20 should be visited before node0\nnode 20 should be visited before node19\nnode 20 should be visited before node14\nnode 20 should be visited before node11\nnode 20 should be visited before node15\nnode 20 should be visited before node8\nnode 20 should be visited before node6\nnode 20 should be visited before node1\nnode 20 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,3,7,4,20,17,14,10,16,19,0,11,2,15,13,8,6,1,9,12,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph345",
        "image": "data/topology/graph_visual/medium/graph345.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 0 should be visited before node9\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 1 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 4 should be visited before node10\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node10\nnode 7 should be visited before node8\nnode 7 should be visited before node11\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 12 should be visited before node13\nnode 12 should be visited before node10\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 13 should be visited before node5\nnode 13 should be visited before node0\nnode 13 should be visited before node3\nnode 13 should be visited before node9\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 13 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,7,12,13,10,8,5,0,11,3,9,2,1,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph723",
        "image": "data/topology/graph_visual/medium/graph723.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node14\nnode 0 should be visited before node3\nnode 0 should be visited before node7\nnode 1 should be visited before node8\nnode 2 should be visited before node16\nnode 2 should be visited before node18\nnode 2 should be visited before node7\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node8\nnode 5 should be visited before node17\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node18\nnode 6 should be visited before node12\nnode 7 should be visited before node8\nnode 9 should be visited before node13\nnode 10 should be visited before node11\nnode 10 should be visited before node17\nnode 10 should be visited before node13\nnode 10 should be visited before node14\nnode 10 should be visited before node4\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node16\nnode 10 should be visited before node18\nnode 10 should be visited before node1\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 11 should be visited before node12\nnode 11 should be visited before node8\nnode 12 should be visited before node7\nnode 13 should be visited before node14\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 14 should be visited before node4\nnode 14 should be visited before node7\nnode 15 should be visited before node7\nnode 16 should be visited before node18\nnode 16 should be visited before node1\nnode 17 should be visited before node4\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,5,9,10,11,13,15,17,14,3,4,2,6,16,12,18,1,7,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph1134",
        "image": "data/topology/graph_visual/medium/graph1134.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node7\nnode 0 should be visited before node21\nnode 0 should be visited before node15\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 0 should be visited before node3\nnode 0 should be visited before node17\nnode 0 should be visited before node12\nnode 1 should be visited before node18\nnode 2 should be visited before node19\nnode 2 should be visited before node20\nnode 2 should be visited before node8\nnode 2 should be visited before node14\nnode 2 should be visited before node13\nnode 2 should be visited before node5\nnode 2 should be visited before node12\nnode 2 should be visited before node18\nnode 3 should be visited before node22\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node18\nnode 4 should be visited before node0\nnode 4 should be visited before node20\nnode 4 should be visited before node10\nnode 4 should be visited before node21\nnode 4 should be visited before node13\nnode 4 should be visited before node3\nnode 4 should be visited before node17\nnode 4 should be visited before node22\nnode 5 should be visited before node22\nnode 5 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node16\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node3\nnode 6 should be visited before node17\nnode 6 should be visited before node5\nnode 6 should be visited before node22\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 6 should be visited before node18\nnode 7 should be visited before node10\nnode 7 should be visited before node21\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node21\nnode 8 should be visited before node15\nnode 8 should be visited before node3\nnode 8 should be visited before node17\nnode 8 should be visited before node22\nnode 8 should be visited before node1\nnode 9 should be visited before node16\nnode 9 should be visited before node4\nnode 9 should be visited before node0\nnode 9 should be visited before node19\nnode 9 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 9 should be visited before node21\nnode 9 should be visited before node15\nnode 9 should be visited before node17\nnode 9 should be visited before node22\nnode 9 should be visited before node1\nnode 9 should be visited before node18\nnode 10 should be visited before node21\nnode 10 should be visited before node15\nnode 10 should be visited before node14\nnode 10 should be visited before node3\nnode 10 should be visited before node17\nnode 10 should be visited before node5\nnode 10 should be visited before node22\nnode 10 should be visited before node1\nnode 10 should be visited before node18\nnode 11 should be visited before node0\nnode 11 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node14\nnode 11 should be visited before node3\nnode 11 should be visited before node12\nnode 12 should be visited before node1\nnode 12 should be visited before node18\nnode 13 should be visited before node3\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node18\nnode 14 should be visited before node3\nnode 14 should be visited before node5\nnode 14 should be visited before node12\nnode 14 should be visited before node1\nnode 14 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node3\nnode 15 should be visited before node17\nnode 15 should be visited before node5\nnode 15 should be visited before node22\nnode 16 should be visited before node4\nnode 16 should be visited before node11\nnode 16 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node19\nnode 16 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node14\nnode 16 should be visited before node3\nnode 16 should be visited before node17\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 16 should be visited before node18\nnode 17 should be visited before node5\nnode 17 should be visited before node22\nnode 17 should be visited before node1\nnode 17 should be visited before node18\nnode 19 should be visited before node20\nnode 19 should be visited before node8\nnode 19 should be visited before node7\nnode 19 should be visited before node10\nnode 19 should be visited before node21\nnode 19 should be visited before node15\nnode 19 should be visited before node14\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 19 should be visited before node22\nnode 19 should be visited before node1\nnode 20 should be visited before node7\nnode 20 should be visited before node10\nnode 20 should be visited before node21\nnode 20 should be visited before node15\nnode 20 should be visited before node17\nnode 20 should be visited before node22\nnode 20 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node18\nnode 21 should be visited before node15\nnode 21 should be visited before node14\nnode 21 should be visited before node13\nnode 21 should be visited before node22\nnode 21 should be visited before node1\nnode 21 should be visited before node18\nnode 22 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,9,16,4,11,2,0,19,20,8,7,10,21,15,13,14,17,3,5,22,12,1,18."
            }
        ]
    },
    {
        "id": "topology-medium-graph526",
        "image": "data/topology/graph_visual/medium/graph526.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node14\nnode 0 should be visited before node10\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node11\nnode 0 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node12\nnode 1 should be visited before node4\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 4 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node8\nnode 6 should be visited before node13\nnode 6 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node5\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node9\nnode 7 should be visited before node3\nnode 7 should be visited before node13\nnode 7 should be visited before node12\nnode 7 should be visited before node4\nnode 7 should be visited before node11\nnode 8 should be visited before node13\nnode 8 should be visited before node4\nnode 8 should be visited before node11\nnode 8 should be visited before node5\nnode 9 should be visited before node6\nnode 9 should be visited before node13\nnode 9 should be visited before node12\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node5\nnode 11 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 13 should be visited before node5\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 14 should be visited before node1\nnode 14 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 15 should be visited before node6\nnode 15 should be visited before node1\nnode 15 should be visited before node8\nnode 15 should be visited before node12\nnode 15 should be visited before node4\nnode 15 should be visited before node11\nnode 15 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,7,0,15,14,10,9,3,6,1,8,13,12,4,11,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph1211",
        "image": "data/topology/graph_visual/medium/graph1211.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node4\nnode 0 should be visited before node16\nnode 0 should be visited before node22\nnode 0 should be visited before node11\nnode 0 should be visited before node7\nnode 0 should be visited before node17\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node21\nnode 2 should be visited before node16\nnode 2 should be visited before node19\nnode 2 should be visited before node17\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 2 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node18\nnode 3 should be visited before node16\nnode 3 should be visited before node19\nnode 3 should be visited before node22\nnode 3 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 4 should be visited before node21\nnode 4 should be visited before node7\nnode 5 should be visited before node10\nnode 5 should be visited before node20\nnode 5 should be visited before node13\nnode 5 should be visited before node0\nnode 5 should be visited before node4\nnode 5 should be visited before node21\nnode 5 should be visited before node16\nnode 5 should be visited before node19\nnode 5 should be visited before node11\nnode 5 should be visited before node17\nnode 5 should be visited before node12\nnode 5 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node18\nnode 6 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node16\nnode 6 should be visited before node19\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 8 should be visited before node20\nnode 8 should be visited before node23\nnode 8 should be visited before node4\nnode 8 should be visited before node21\nnode 9 should be visited before node1\nnode 10 should be visited before node23\nnode 10 should be visited before node13\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node18\nnode 10 should be visited before node4\nnode 10 should be visited before node21\nnode 10 should be visited before node16\nnode 10 should be visited before node19\nnode 10 should be visited before node22\nnode 10 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node12\nnode 10 should be visited before node1\nnode 11 should be visited before node17\nnode 11 should be visited before node9\nnode 11 should be visited before node12\nnode 12 should be visited before node1\nnode 13 should be visited before node2\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 13 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 14 should be visited before node5\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node4\nnode 14 should be visited before node16\nnode 14 should be visited before node19\nnode 14 should be visited before node7\nnode 14 should be visited before node12\nnode 14 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node8\nnode 15 should be visited before node20\nnode 15 should be visited before node23\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node21\nnode 15 should be visited before node19\nnode 15 should be visited before node9\nnode 15 should be visited before node12\nnode 16 should be visited before node19\nnode 16 should be visited before node17\nnode 18 should be visited before node4\nnode 18 should be visited before node16\nnode 18 should be visited before node19\nnode 18 should be visited before node22\nnode 18 should be visited before node11\nnode 18 should be visited before node17\nnode 18 should be visited before node9\nnode 19 should be visited before node11\nnode 19 should be visited before node7\nnode 19 should be visited before node17\nnode 19 should be visited before node9\nnode 19 should be visited before node12\nnode 19 should be visited before node1\nnode 20 should be visited before node6\nnode 20 should be visited before node3\nnode 20 should be visited before node2\nnode 20 should be visited before node19\nnode 20 should be visited before node7\nnode 20 should be visited before node12\nnode 20 should be visited before node1\nnode 21 should be visited before node17\nnode 21 should be visited before node12\nnode 21 should be visited before node1\nnode 22 should be visited before node17\nnode 22 should be visited before node9\nnode 22 should be visited before node1\nnode 23 should be visited before node13\nnode 23 should be visited before node3\nnode 23 should be visited before node0\nnode 23 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,15,5,8,10,20,23,6,13,3,2,18,0,4,16,22,21,19,11,7,17,12,9,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph590",
        "image": "data/topology/graph_visual/medium/graph590.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node11\nnode 1 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node13\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node16\nnode 3 should be visited before node8\nnode 3 should be visited before node15\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node4\nnode 4 should be visited before node12\nnode 4 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node16\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node14\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node14\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node10\nnode 6 should be visited before node4\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 8 should be visited before node15\nnode 8 should be visited before node14\nnode 8 should be visited before node7\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node10\nnode 8 should be visited before node4\nnode 8 should be visited before node0\nnode 9 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 11 should be visited before node10\nnode 11 should be visited before node4\nnode 11 should be visited before node12\nnode 11 should be visited before node0\nnode 12 should be visited before node0\nnode 13 should be visited before node9\nnode 13 should be visited before node4\nnode 13 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node13\nnode 14 should be visited before node9\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node11\nnode 15 should be visited before node9\nnode 15 should be visited before node4\nnode 15 should be visited before node12\nnode 15 should be visited before node0\nnode 16 should be visited before node8\nnode 16 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node10\nnode 16 should be visited before node4\nnode 16 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,3,5,6,16,2,8,15,14,7,13,11,9,10,4,12,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph1276",
        "image": "data/topology/graph_visual/medium/graph1276.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node9\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 0 should be visited before node19\nnode 0 should be visited before node24\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node15\nnode 1 should be visited before node24\nnode 1 should be visited before node15\nnode 2 should be visited before node11\nnode 2 should be visited before node23\nnode 2 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node7\nnode 2 should be visited before node6\nnode 3 should be visited before node11\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node6\nnode 4 should be visited before node7\nnode 4 should be visited before node14\nnode 6 should be visited before node15\nnode 8 should be visited before node15\nnode 9 should be visited before node23\nnode 9 should be visited before node20\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node10\nnode 9 should be visited before node8\nnode 9 should be visited before node24\nnode 9 should be visited before node14\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 11 should be visited before node6\nnode 12 should be visited before node11\nnode 12 should be visited before node20\nnode 12 should be visited before node5\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 13 should be visited before node19\nnode 13 should be visited before node6\nnode 16 should be visited before node12\nnode 16 should be visited before node0\nnode 16 should be visited before node24\nnode 16 should be visited before node4\nnode 17 should be visited before node16\nnode 17 should be visited before node12\nnode 17 should be visited before node18\nnode 17 should be visited before node20\nnode 17 should be visited before node13\nnode 17 should be visited before node10\nnode 17 should be visited before node1\nnode 17 should be visited before node7\nnode 17 should be visited before node14\nnode 17 should be visited before node6\nnode 17 should be visited before node15\nnode 18 should be visited before node20\nnode 18 should be visited before node5\nnode 18 should be visited before node10\nnode 19 should be visited before node24\nnode 19 should be visited before node4\nnode 20 should be visited before node5\nnode 20 should be visited before node13\nnode 20 should be visited before node8\nnode 20 should be visited before node14\nnode 20 should be visited before node15\nnode 21 should be visited before node9\nnode 21 should be visited before node8\nnode 21 should be visited before node19\nnode 21 should be visited before node4\nnode 21 should be visited before node7\nnode 22 should be visited before node2\nnode 22 should be visited before node9\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 23 should be visited before node1\nnode 23 should be visited before node24\nnode 23 should be visited before node4\nnode 23 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,17,21,22,16,18,2,12,0,11,9,23,20,10,1,5,13,8,19,6,24,4,15,7,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph826",
        "image": "data/topology/graph_visual/medium/graph826.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node9\nnode 0 should be visited before node7\nnode 0 should be visited before node2\nnode 0 should be visited before node18\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node15\nnode 4 should be visited before node19\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node6\nnode 5 should be visited before node11\nnode 5 should be visited before node0\nnode 5 should be visited before node16\nnode 5 should be visited before node19\nnode 5 should be visited before node9\nnode 5 should be visited before node17\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node12\nnode 7 should be visited before node14\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 9 should be visited before node8\nnode 9 should be visited before node14\nnode 9 should be visited before node12\nnode 9 should be visited before node10\nnode 9 should be visited before node15\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 13 should be visited before node12\nnode 13 should be visited before node15\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 16 should be visited before node3\nnode 16 should be visited before node13\nnode 16 should be visited before node14\nnode 16 should be visited before node12\nnode 17 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node15\nnode 18 should be visited before node14\nnode 18 should be visited before node6\nnode 19 should be visited before node1\nnode 19 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,11,4,0,16,19,9,17,3,2,13,7,10,8,18,15,1,14,12,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph904",
        "image": "data/topology/graph_visual/medium/graph904.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node6\nnode 0 should be visited before node17\nnode 0 should be visited before node19\nnode 0 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 2 should be visited before node11\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 4 should be visited before node16\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 5 should be visited before node11\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 8 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node13\nnode 8 should be visited before node1\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node13\nnode 9 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node13\nnode 10 should be visited before node17\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 12 should be visited before node6\nnode 12 should be visited before node19\nnode 12 should be visited before node1\nnode 13 should be visited before node17\nnode 14 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node16\nnode 15 should be visited before node5\nnode 17 should be visited before node1\nnode 18 should be visited before node9\nnode 18 should be visited before node15\nnode 18 should be visited before node8\nnode 18 should be visited before node0\nnode 18 should be visited before node6\nnode 18 should be visited before node5\nnode 18 should be visited before node1\nnode 19 should be visited before node11\nnode 19 should be visited before node1\nnode 20 should be visited before node0\nnode 20 should be visited before node6\nnode 20 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,18,20,2,4,9,8,15,12,7,0,10,14,6,19,13,5,16,17,11,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph154",
        "image": "data/topology/graph_visual/medium/graph154.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node9\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node9\nnode 2 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node10\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 4 should be visited before node11\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 6 should be visited before node4\nnode 7 should be visited before node10\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 7 should be visited before node11\nnode 7 should be visited before node1\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 8 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 11 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,8,0,9,5,7,10,6,4,11,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph1317",
        "image": "data/topology/graph_visual/medium/graph1317.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 1 should be visited before node17\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node21\nnode 1 should be visited before node24\nnode 1 should be visited before node0\nnode 1 should be visited before node12\nnode 2 should be visited before node21\nnode 2 should be visited before node24\nnode 2 should be visited before node0\nnode 3 should be visited before node15\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 4 should be visited before node11\nnode 4 should be visited before node16\nnode 4 should be visited before node3\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node17\nnode 4 should be visited before node24\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 5 should be visited before node24\nnode 5 should be visited before node0\nnode 5 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node2\nnode 6 should be visited before node24\nnode 6 should be visited before node19\nnode 7 should be visited before node23\nnode 7 should be visited before node6\nnode 7 should be visited before node17\nnode 8 should be visited before node3\nnode 8 should be visited before node15\nnode 8 should be visited before node1\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node0\nnode 8 should be visited before node12\nnode 9 should be visited before node20\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 9 should be visited before node21\nnode 9 should be visited before node24\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node3\nnode 10 should be visited before node17\nnode 10 should be visited before node2\nnode 10 should be visited before node24\nnode 10 should be visited before node12\nnode 11 should be visited before node8\nnode 11 should be visited before node16\nnode 11 should be visited before node3\nnode 11 should be visited before node15\nnode 11 should be visited before node17\nnode 13 should be visited before node22\nnode 13 should be visited before node9\nnode 13 should be visited before node23\nnode 13 should be visited before node10\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node3\nnode 13 should be visited before node21\nnode 13 should be visited before node0\nnode 13 should be visited before node12\nnode 14 should be visited before node13\nnode 14 should be visited before node18\nnode 14 should be visited before node22\nnode 14 should be visited before node7\nnode 14 should be visited before node11\nnode 14 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node1\nnode 14 should be visited before node17\nnode 14 should be visited before node5\nnode 14 should be visited before node24\nnode 15 should be visited before node17\nnode 15 should be visited before node2\nnode 15 should be visited before node5\nnode 15 should be visited before node12\nnode 16 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node17\nnode 16 should be visited before node5\nnode 16 should be visited before node24\nnode 17 should be visited before node2\nnode 17 should be visited before node5\nnode 17 should be visited before node21\nnode 17 should be visited before node12\nnode 18 should be visited before node22\nnode 18 should be visited before node20\nnode 18 should be visited before node4\nnode 18 should be visited before node16\nnode 18 should be visited before node3\nnode 18 should be visited before node1\nnode 18 should be visited before node17\nnode 18 should be visited before node2\nnode 18 should be visited before node5\nnode 18 should be visited before node21\nnode 18 should be visited before node24\nnode 18 should be visited before node19\nnode 19 should be visited before node12\nnode 20 should be visited before node10\nnode 20 should be visited before node4\nnode 20 should be visited before node8\nnode 20 should be visited before node6\nnode 20 should be visited before node3\nnode 20 should be visited before node15\nnode 20 should be visited before node17\nnode 20 should be visited before node2\nnode 20 should be visited before node24\nnode 20 should be visited before node0\nnode 20 should be visited before node12\nnode 21 should be visited before node24\nnode 21 should be visited before node19\nnode 21 should be visited before node12\nnode 22 should be visited before node9\nnode 22 should be visited before node7\nnode 22 should be visited before node20\nnode 22 should be visited before node10\nnode 22 should be visited before node4\nnode 22 should be visited before node11\nnode 22 should be visited before node16\nnode 22 should be visited before node1\nnode 22 should be visited before node2\nnode 22 should be visited before node21\nnode 22 should be visited before node24\nnode 22 should be visited before node19\nnode 23 should be visited before node10\nnode 23 should be visited before node8\nnode 23 should be visited before node6\nnode 23 should be visited before node16\nnode 23 should be visited before node15\nnode 23 should be visited before node1\nnode 23 should be visited before node2\nnode 23 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node19\nnode 23 should be visited before node0\nnode 23 should be visited before node12\nnode 24 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,13,18,22,9,7,20,23,4,10,6,11,8,16,3,15,1,17,2,5,21,0,24,19,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph604",
        "image": "data/topology/graph_visual/medium/graph604.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node9\nnode 0 should be visited before node8\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 0 should be visited before node15\nnode 0 should be visited before node7\nnode 1 should be visited before node12\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node3\nnode 1 should be visited before node8\nnode 1 should be visited before node13\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node7\nnode 1 should be visited before node11\nnode 2 should be visited before node5\nnode 2 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node11\nnode 3 should be visited before node8\nnode 3 should be visited before node13\nnode 3 should be visited before node5\nnode 3 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 4 should be visited before node16\nnode 4 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node10\nnode 5 should be visited before node11\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 6 should be visited before node13\nnode 6 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node10\nnode 7 should be visited before node10\nnode 8 should be visited before node13\nnode 8 should be visited before node2\nnode 8 should be visited before node15\nnode 8 should be visited before node7\nnode 8 should be visited before node11\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 10 should be visited before node11\nnode 12 should be visited before node6\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node8\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 13 should be visited before node7\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 14 should be visited before node8\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node11\nnode 15 should be visited before node7\nnode 15 should be visited before node10\nnode 15 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node3\nnode 16 should be visited before node8\nnode 16 should be visited before node2\nnode 16 should be visited before node5\nnode 16 should be visited before node15\nnode 16 should be visited before node7\nnode 16 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,12,6,4,14,16,9,3,8,13,2,5,15,7,10,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph795",
        "image": "data/topology/graph_visual/medium/graph795.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node9\nnode 0 should be visited before node18\nnode 0 should be visited before node11\nnode 0 should be visited before node17\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 0 should be visited before node14\nnode 0 should be visited before node7\nnode 1 should be visited before node16\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node16\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node8\nnode 4 should be visited before node7\nnode 5 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node7\nnode 6 should be visited before node13\nnode 6 should be visited before node9\nnode 6 should be visited before node18\nnode 6 should be visited before node10\nnode 6 should be visited before node11\nnode 6 should be visited before node17\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node7\nnode 9 should be visited before node18\nnode 9 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node17\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node8\nnode 10 should be visited before node14\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 11 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node8\nnode 11 should be visited before node14\nnode 11 should be visited before node2\nnode 12 should be visited before node16\nnode 12 should be visited before node5\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 13 should be visited before node0\nnode 13 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node3\nnode 13 should be visited before node15\nnode 13 should be visited before node12\nnode 13 should be visited before node16\nnode 13 should be visited before node8\nnode 13 should be visited before node2\nnode 13 should be visited before node7\nnode 14 should be visited before node7\nnode 15 should be visited before node12\nnode 15 should be visited before node16\nnode 15 should be visited before node4\nnode 15 should be visited before node5\nnode 15 should be visited before node8\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 16 should be visited before node4\nnode 16 should be visited before node8\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 17 should be visited before node3\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node4\nnode 17 should be visited before node14\nnode 17 should be visited before node2\nnode 17 should be visited before node7\nnode 18 should be visited before node10\nnode 18 should be visited before node11\nnode 18 should be visited before node17\nnode 18 should be visited before node3\nnode 18 should be visited before node1\nnode 18 should be visited before node16\nnode 18 should be visited before node4\nnode 18 should be visited before node5\nnode 18 should be visited before node14\nnode 18 should be visited before node2\nnode 18 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,13,0,9,18,10,11,17,3,1,15,12,16,4,5,8,14,2,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph1282",
        "image": "data/topology/graph_visual/medium/graph1282.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 0 should be visited before node3\nnode 0 should be visited before node12\nnode 0 should be visited before node7\nnode 0 should be visited before node13\nnode 0 should be visited before node16\nnode 0 should be visited before node21\nnode 1 should be visited before node24\nnode 1 should be visited before node3\nnode 1 should be visited before node23\nnode 1 should be visited before node7\nnode 1 should be visited before node16\nnode 2 should be visited before node18\nnode 2 should be visited before node24\nnode 2 should be visited before node15\nnode 2 should be visited before node6\nnode 2 should be visited before node14\nnode 2 should be visited before node23\nnode 2 should be visited before node11\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 3 should be visited before node12\nnode 3 should be visited before node11\nnode 3 should be visited before node21\nnode 3 should be visited before node4\nnode 5 should be visited before node16\nnode 6 should be visited before node14\nnode 6 should be visited before node3\nnode 6 should be visited before node23\nnode 6 should be visited before node13\nnode 7 should be visited before node13\nnode 7 should be visited before node20\nnode 8 should be visited before node16\nnode 8 should be visited before node19\nnode 10 should be visited before node14\nnode 10 should be visited before node3\nnode 10 should be visited before node22\nnode 10 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node20\nnode 10 should be visited before node19\nnode 10 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node16\nnode 11 should be visited before node21\nnode 11 should be visited before node19\nnode 12 should be visited before node8\nnode 12 should be visited before node9\nnode 12 should be visited before node21\nnode 14 should be visited before node22\nnode 14 should be visited before node11\nnode 14 should be visited before node16\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node19\nnode 16 should be visited before node19\nnode 17 should be visited before node10\nnode 17 should be visited before node15\nnode 17 should be visited before node23\nnode 17 should be visited before node7\nnode 17 should be visited before node8\nnode 17 should be visited before node20\nnode 18 should be visited before node10\nnode 18 should be visited before node24\nnode 18 should be visited before node7\nnode 18 should be visited before node9\nnode 18 should be visited before node20\nnode 18 should be visited before node21\nnode 18 should be visited before node19\nnode 18 should be visited before node4\nnode 22 should be visited before node9\nnode 23 should be visited before node11\nnode 23 should be visited before node13\nnode 23 should be visited before node16\nnode 23 should be visited before node21\nnode 24 should be visited before node3\nnode 24 should be visited before node23\nnode 24 should be visited before node12\nnode 24 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,5,17,1,18,6,15,10,24,14,3,23,22,12,4,11,8,9,7,21,16,13,20,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph891",
        "image": "data/topology/graph_visual/medium/graph891.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node19\nnode 0 should be visited before node18\nnode 0 should be visited before node17\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 1 should be visited before node14\nnode 1 should be visited before node0\nnode 1 should be visited before node19\nnode 1 should be visited before node11\nnode 1 should be visited before node17\nnode 1 should be visited before node12\nnode 1 should be visited before node16\nnode 2 should be visited before node5\nnode 2 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node13\nnode 2 should be visited before node0\nnode 2 should be visited before node19\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node18\nnode 2 should be visited before node17\nnode 2 should be visited before node12\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node13\nnode 3 should be visited before node14\nnode 3 should be visited before node19\nnode 3 should be visited before node18\nnode 3 should be visited before node17\nnode 3 should be visited before node12\nnode 3 should be visited before node16\nnode 4 should be visited before node11\nnode 4 should be visited before node18\nnode 4 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node19\nnode 5 should be visited before node18\nnode 5 should be visited before node17\nnode 5 should be visited before node12\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node7\nnode 6 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node18\nnode 6 should be visited before node17\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node11\nnode 7 should be visited before node17\nnode 7 should be visited before node16\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node19\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node18\nnode 8 should be visited before node17\nnode 8 should be visited before node12\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 9 should be visited before node18\nnode 10 should be visited before node8\nnode 10 should be visited before node3\nnode 10 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node19\nnode 10 should be visited before node17\nnode 10 should be visited before node12\nnode 11 should be visited before node18\nnode 11 should be visited before node17\nnode 11 should be visited before node12\nnode 13 should be visited before node14\nnode 13 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node11\nnode 13 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node12\nnode 13 should be visited before node16\nnode 14 should be visited before node0\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node18\nnode 14 should be visited before node17\nnode 15 should be visited before node7\nnode 15 should be visited before node13\nnode 15 should be visited before node14\nnode 15 should be visited before node19\nnode 15 should be visited before node9\nnode 15 should be visited before node11\nnode 15 should be visited before node18\nnode 15 should be visited before node16\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node16\nnode 19 should be visited before node9\nnode 19 should be visited before node4\nnode 19 should be visited before node17\nnode 19 should be visited before node12\nnode 19 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,10,8,3,2,1,5,15,7,13,14,0,19,9,4,11,18,17,12,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph256",
        "image": "data/topology/graph_visual/medium/graph256.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node4\nnode 0 should be visited before node8\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 1 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 3 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node11\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 7 should be visited before node2\nnode 7 should be visited before node0\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node9\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node1\nnode 12 should be visited before node8\nnode 12 should be visited before node11\nnode 12 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,5,1,7,2,0,4,10,8,11,9,3,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph346",
        "image": "data/topology/graph_visual/medium/graph346.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node10\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 0 should be visited before node13\nnode 0 should be visited before node8\nnode 1 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 5 should be visited before node12\nnode 5 should be visited before node9\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 6 should be visited before node11\nnode 6 should be visited before node3\nnode 6 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node13\nnode 7 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 9 should be visited before node13\nnode 9 should be visited before node8\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node2\nnode 10 should be visited before node1\nnode 10 should be visited before node13\nnode 10 should be visited before node8\nnode 11 should be visited before node1\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node2\nnode 12 should be visited before node3\nnode 12 should be visited before node1\nnode 12 should be visited before node13\nnode 12 should be visited before node8\nnode 13 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,7,5,12,9,0,10,6,2,11,3,1,13,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph1083",
        "image": "data/topology/graph_visual/medium/graph1083.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node14\nnode 0 should be visited before node2\nnode 0 should be visited before node12\nnode 0 should be visited before node4\nnode 1 should be visited before node21\nnode 1 should be visited before node16\nnode 1 should be visited before node9\nnode 1 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node19\nnode 2 should be visited before node18\nnode 2 should be visited before node6\nnode 3 should be visited before node6\nnode 4 should be visited before node17\nnode 4 should be visited before node22\nnode 4 should be visited before node18\nnode 5 should be visited before node12\nnode 5 should be visited before node13\nnode 5 should be visited before node22\nnode 5 should be visited before node6\nnode 7 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node17\nnode 9 should be visited before node11\nnode 9 should be visited before node18\nnode 9 should be visited before node6\nnode 11 should be visited before node17\nnode 11 should be visited before node22\nnode 11 should be visited before node18\nnode 12 should be visited before node7\nnode 12 should be visited before node4\nnode 12 should be visited before node3\nnode 12 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node3\nnode 14 should be visited before node12\nnode 14 should be visited before node17\nnode 14 should be visited before node10\nnode 14 should be visited before node19\nnode 14 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node5\nnode 15 should be visited before node21\nnode 15 should be visited before node16\nnode 15 should be visited before node13\nnode 15 should be visited before node7\nnode 15 should be visited before node3\nnode 15 should be visited before node10\nnode 15 should be visited before node18\nnode 16 should be visited before node4\nnode 16 should be visited before node3\nnode 17 should be visited before node19\nnode 20 should be visited before node0\nnode 20 should be visited before node15\nnode 20 should be visited before node5\nnode 20 should be visited before node7\nnode 20 should be visited before node22\nnode 20 should be visited before node6\nnode 21 should be visited before node16\nnode 21 should be visited before node7\nnode 21 should be visited before node18\nnode 22 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,8,20,9,0,15,2,14,5,21,11,12,13,16,7,4,3,10,17,22,18,19,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph328",
        "image": "data/topology/graph_visual/medium/graph328.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 1 should be visited before node12\nnode 1 should be visited before node10\nnode 1 should be visited before node0\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 4 should be visited before node11\nnode 4 should be visited before node2\nnode 4 should be visited before node5\nnode 4 should be visited before node13\nnode 5 should be visited before node13\nnode 6 should be visited before node4\nnode 6 should be visited before node9\nnode 6 should be visited before node13\nnode 6 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node9\nnode 8 should be visited before node2\nnode 8 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node3\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node9\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 12 should be visited before node11\nnode 12 should be visited before node2\nnode 12 should be visited before node3\nnode 13 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,12,10,0,7,8,6,4,9,11,2,5,13,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph915",
        "image": "data/topology/graph_visual/medium/graph915.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node9\nnode 0 should be visited before node6\nnode 0 should be visited before node14\nnode 1 should be visited before node4\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 1 should be visited before node17\nnode 1 should be visited before node20\nnode 1 should be visited before node12\nnode 1 should be visited before node18\nnode 4 should be visited before node13\nnode 4 should be visited before node0\nnode 4 should be visited before node11\nnode 4 should be visited before node10\nnode 4 should be visited before node7\nnode 4 should be visited before node20\nnode 4 should be visited before node6\nnode 4 should be visited before node14\nnode 4 should be visited before node2\nnode 6 should be visited before node16\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 7 should be visited before node3\nnode 7 should be visited before node18\nnode 8 should be visited before node13\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 9 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node14\nnode 9 should be visited before node3\nnode 9 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node18\nnode 11 should be visited before node7\nnode 11 should be visited before node9\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 11 should be visited before node3\nnode 11 should be visited before node18\nnode 12 should be visited before node16\nnode 13 should be visited before node19\nnode 13 should be visited before node7\nnode 13 should be visited before node12\nnode 13 should be visited before node14\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 14 should be visited before node2\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 15 should be visited before node10\nnode 15 should be visited before node20\nnode 15 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 18 should be visited before node16\nnode 19 should be visited before node16\nnode 20 should be visited before node12\nnode 20 should be visited before node14\nnode 20 should be visited before node18\nnode 20 should be visited before node16\nnode 20 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,15,1,4,17,13,0,11,10,20,19,7,9,5,18,12,6,14,3,16,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph49",
        "image": "data/topology/graph_visual/medium/graph49.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node8\nnode 0 should be visited before node5\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node6\nnode 4 should be visited before node7\nnode 4 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node10\nnode 5 should be visited before node7\nnode 6 should be visited before node7\nnode 6 should be visited before node2\nnode 7 should be visited before node2\nnode 8 should be visited before node5\nnode 8 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node4\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 10 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,3,9,8,5,4,10,6,7,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph1221",
        "image": "data/topology/graph_visual/medium/graph1221.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node15\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 0 should be visited before node13\nnode 0 should be visited before node20\nnode 0 should be visited before node22\nnode 1 should be visited before node3\nnode 1 should be visited before node12\nnode 1 should be visited before node4\nnode 1 should be visited before node22\nnode 1 should be visited before node19\nnode 1 should be visited before node7\nnode 2 should be visited before node11\nnode 2 should be visited before node23\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node21\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node12\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 2 should be visited before node7\nnode 3 should be visited before node12\nnode 3 should be visited before node6\nnode 3 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node22\nnode 4 should be visited before node20\nnode 4 should be visited before node22\nnode 4 should be visited before node19\nnode 5 should be visited before node15\nnode 5 should be visited before node14\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node20\nnode 5 should be visited before node22\nnode 5 should be visited before node19\nnode 6 should be visited before node4\nnode 6 should be visited before node20\nnode 6 should be visited before node22\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node14\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node13\nnode 8 should be visited before node6\nnode 8 should be visited before node22\nnode 9 should be visited before node2\nnode 9 should be visited before node11\nnode 9 should be visited before node23\nnode 9 should be visited before node18\nnode 9 should be visited before node0\nnode 9 should be visited before node15\nnode 9 should be visited before node21\nnode 9 should be visited before node14\nnode 9 should be visited before node3\nnode 9 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node4\nnode 10 should be visited before node17\nnode 11 should be visited before node23\nnode 11 should be visited before node0\nnode 11 should be visited before node21\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node17\nnode 12 should be visited before node4\nnode 12 should be visited before node17\nnode 12 should be visited before node7\nnode 13 should be visited before node20\nnode 13 should be visited before node17\nnode 14 should be visited before node1\nnode 14 should be visited before node3\nnode 14 should be visited before node16\nnode 14 should be visited before node4\nnode 14 should be visited before node20\nnode 14 should be visited before node22\nnode 14 should be visited before node19\nnode 14 should be visited before node17\nnode 15 should be visited before node21\nnode 15 should be visited before node12\nnode 15 should be visited before node13\nnode 15 should be visited before node20\nnode 15 should be visited before node22\nnode 15 should be visited before node19\nnode 15 should be visited before node17\nnode 16 should be visited before node4\nnode 16 should be visited before node19\nnode 16 should be visited before node17\nnode 17 should be visited before node7\nnode 18 should be visited before node8\nnode 18 should be visited before node0\nnode 18 should be visited before node5\nnode 18 should be visited before node15\nnode 18 should be visited before node21\nnode 18 should be visited before node1\nnode 18 should be visited before node12\nnode 18 should be visited before node16\nnode 18 should be visited before node13\nnode 18 should be visited before node4\nnode 18 should be visited before node20\nnode 18 should be visited before node19\nnode 18 should be visited before node7\nnode 20 should be visited before node22\nnode 20 should be visited before node17\nnode 20 should be visited before node7\nnode 21 should be visited before node14\nnode 21 should be visited before node1\nnode 21 should be visited before node3\nnode 21 should be visited before node12\nnode 21 should be visited before node16\nnode 21 should be visited before node6\nnode 21 should be visited before node20\nnode 21 should be visited before node19\nnode 22 should be visited before node19\nnode 23 should be visited before node10\nnode 23 should be visited before node8\nnode 23 should be visited before node0\nnode 23 should be visited before node14\nnode 23 should be visited before node16\nnode 23 should be visited before node13\nnode 23 should be visited before node22\nnode 23 should be visited before node19\nnode 23 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,2,18,11,23,10,8,0,5,15,21,13,14,1,16,3,12,6,4,20,22,17,19,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph1325",
        "image": "data/topology/graph_visual/medium/graph1325.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node21\nnode 1 should be visited before node22\nnode 1 should be visited before node11\nnode 1 should be visited before node24\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node21\nnode 1 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node22\nnode 3 should be visited before node24\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 4 should be visited before node14\nnode 4 should be visited before node3\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node24\nnode 4 should be visited before node5\nnode 4 should be visited before node17\nnode 4 should be visited before node21\nnode 4 should be visited before node2\nnode 5 should be visited before node17\nnode 5 should be visited before node21\nnode 5 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node14\nnode 7 should be visited before node12\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node15\nnode 7 should be visited before node1\nnode 7 should be visited before node22\nnode 7 should be visited before node11\nnode 7 should be visited before node24\nnode 7 should be visited before node5\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node21\nnode 7 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node17\nnode 8 should be visited before node0\nnode 8 should be visited before node21\nnode 8 should be visited before node2\nnode 9 should be visited before node14\nnode 9 should be visited before node3\nnode 9 should be visited before node16\nnode 9 should be visited before node15\nnode 9 should be visited before node1\nnode 9 should be visited before node24\nnode 9 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node0\nnode 9 should be visited before node21\nnode 9 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node16\nnode 10 should be visited before node15\nnode 10 should be visited before node1\nnode 10 should be visited before node22\nnode 10 should be visited before node11\nnode 10 should be visited before node24\nnode 10 should be visited before node6\nnode 10 should be visited before node17\nnode 10 should be visited before node21\nnode 10 should be visited before node2\nnode 11 should be visited before node24\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node17\nnode 11 should be visited before node0\nnode 12 should be visited before node3\nnode 12 should be visited before node15\nnode 12 should be visited before node8\nnode 12 should be visited before node11\nnode 12 should be visited before node24\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 12 should be visited before node21\nnode 12 should be visited before node2\nnode 13 should be visited before node19\nnode 13 should be visited before node20\nnode 13 should be visited before node23\nnode 13 should be visited before node7\nnode 13 should be visited before node10\nnode 13 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node14\nnode 13 should be visited before node3\nnode 13 should be visited before node16\nnode 13 should be visited before node1\nnode 13 should be visited before node22\nnode 13 should be visited before node11\nnode 13 should be visited before node24\nnode 13 should be visited before node6\nnode 13 should be visited before node5\nnode 13 should be visited before node17\nnode 13 should be visited before node0\nnode 13 should be visited before node21\nnode 13 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node3\nnode 14 should be visited before node15\nnode 14 should be visited before node1\nnode 14 should be visited before node22\nnode 14 should be visited before node5\nnode 14 should be visited before node17\nnode 14 should be visited before node0\nnode 14 should be visited before node21\nnode 14 should be visited before node2\nnode 15 should be visited before node8\nnode 15 should be visited before node1\nnode 15 should be visited before node22\nnode 15 should be visited before node11\nnode 15 should be visited before node6\nnode 15 should be visited before node5\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node21\nnode 16 should be visited before node15\nnode 16 should be visited before node1\nnode 16 should be visited before node11\nnode 16 should be visited before node24\nnode 16 should be visited before node6\nnode 16 should be visited before node5\nnode 16 should be visited before node17\nnode 18 should be visited before node13\nnode 18 should be visited before node19\nnode 18 should be visited before node20\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 18 should be visited before node16\nnode 18 should be visited before node15\nnode 18 should be visited before node1\nnode 18 should be visited before node22\nnode 18 should be visited before node11\nnode 18 should be visited before node6\nnode 18 should be visited before node5\nnode 18 should be visited before node0\nnode 18 should be visited before node21\nnode 18 should be visited before node2\nnode 19 should be visited before node20\nnode 19 should be visited before node23\nnode 19 should be visited before node10\nnode 19 should be visited before node4\nnode 19 should be visited before node12\nnode 19 should be visited before node16\nnode 19 should be visited before node22\nnode 19 should be visited before node6\nnode 19 should be visited before node17\nnode 19 should be visited before node0\nnode 19 should be visited before node21\nnode 19 should be visited before node2\nnode 20 should be visited before node23\nnode 20 should be visited before node7\nnode 20 should be visited before node4\nnode 20 should be visited before node9\nnode 20 should be visited before node3\nnode 20 should be visited before node16\nnode 20 should be visited before node15\nnode 20 should be visited before node1\nnode 20 should be visited before node24\nnode 20 should be visited before node6\nnode 20 should be visited before node17\nnode 20 should be visited before node2\nnode 21 should be visited before node2\nnode 22 should be visited before node11\nnode 22 should be visited before node24\nnode 22 should be visited before node6\nnode 22 should be visited before node5\nnode 22 should be visited before node0\nnode 22 should be visited before node2\nnode 23 should be visited before node10\nnode 23 should be visited before node12\nnode 23 should be visited before node3\nnode 23 should be visited before node16\nnode 23 should be visited before node15\nnode 23 should be visited before node8\nnode 23 should be visited before node1\nnode 23 should be visited before node22\nnode 23 should be visited before node11\nnode 23 should be visited before node24\nnode 23 should be visited before node5\nnode 23 should be visited before node17\nnode 23 should be visited before node0\nnode 23 should be visited before node21\nnode 23 should be visited before node2\nnode 24 should be visited before node17\nnode 24 should be visited before node0\nnode 24 should be visited before node21\nnode 24 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "18,13,19,20,23,7,10,4,9,14,16,12,3,15,8,1,22,11,24,6,0,5,17,21,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph664",
        "image": "data/topology/graph_visual/medium/graph664.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node9\nnode 0 should be visited before node2\nnode 0 should be visited before node13\nnode 0 should be visited before node4\nnode 1 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node4\nnode 2 should be visited before node16\nnode 3 should be visited before node6\nnode 3 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node11\nnode 4 should be visited before node16\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 6 should be visited before node17\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 6 should be visited before node0\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node16\nnode 7 should be visited before node5\nnode 7 should be visited before node11\nnode 7 should be visited before node13\nnode 7 should be visited before node4\nnode 7 should be visited before node16\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node11\nnode 9 should be visited before node4\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node4\nnode 11 should be visited before node4\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node1\nnode 12 should be visited before node4\nnode 13 should be visited before node16\nnode 14 should be visited before node15\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 14 should be visited before node9\nnode 14 should be visited before node2\nnode 14 should be visited before node13\nnode 15 should be visited before node7\nnode 15 should be visited before node8\nnode 15 should be visited before node0\nnode 15 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node15\nnode 17 should be visited before node10\nnode 17 should be visited before node2\nnode 17 should be visited before node11\nnode 17 should be visited before node1\nnode 17 should be visited before node13\nnode 17 should be visited before node4\nnode 17 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,6,14,17,12,15,7,8,10,1,5,0,9,13,2,11,4,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph865",
        "image": "data/topology/graph_visual/medium/graph865.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node4\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 3 should be visited before node14\nnode 3 should be visited before node19\nnode 3 should be visited before node16\nnode 3 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node17\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node2\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node17\nnode 6 should be visited before node0\nnode 6 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node16\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node18\nnode 8 should be visited before node12\nnode 8 should be visited before node9\nnode 8 should be visited before node17\nnode 8 should be visited before node1\nnode 8 should be visited before node4\nnode 9 should be visited before node17\nnode 9 should be visited before node1\nnode 9 should be visited before node0\nnode 9 should be visited before node2\nnode 10 should be visited before node3\nnode 10 should be visited before node14\nnode 10 should be visited before node13\nnode 10 should be visited before node19\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node0\nnode 10 should be visited before node2\nnode 11 should be visited before node17\nnode 11 should be visited before node2\nnode 12 should be visited before node0\nnode 12 should be visited before node4\nnode 13 should be visited before node6\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node6\nnode 14 should be visited before node16\nnode 14 should be visited before node1\nnode 14 should be visited before node4\nnode 14 should be visited before node2\nnode 15 should be visited before node10\nnode 15 should be visited before node13\nnode 15 should be visited before node19\nnode 15 should be visited before node6\nnode 15 should be visited before node16\nnode 15 should be visited before node11\nnode 15 should be visited before node17\nnode 15 should be visited before node1\nnode 15 should be visited before node0\nnode 15 should be visited before node4\nnode 16 should be visited before node18\nnode 16 should be visited before node0\nnode 16 should be visited before node4\nnode 16 should be visited before node2\nnode 17 should be visited before node1\nnode 17 should be visited before node0\nnode 17 should be visited before node4\nnode 18 should be visited before node12\nnode 18 should be visited before node9\nnode 18 should be visited before node11\nnode 18 should be visited before node1\nnode 18 should be visited before node0\nnode 19 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node1\nnode 19 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,15,5,10,3,13,14,19,7,6,16,18,12,9,11,17,2,1,0,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph1135",
        "image": "data/topology/graph_visual/medium/graph1135.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node17\nnode 1 should be visited before node5\nnode 1 should be visited before node12\nnode 1 should be visited before node14\nnode 1 should be visited before node3\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 1 should be visited before node19\nnode 1 should be visited before node15\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node0\nnode 2 should be visited before node0\nnode 2 should be visited before node17\nnode 3 should be visited before node7\nnode 3 should be visited before node16\nnode 3 should be visited before node20\nnode 3 should be visited before node19\nnode 3 should be visited before node4\nnode 3 should be visited before node22\nnode 3 should be visited before node2\nnode 4 should be visited before node2\nnode 5 should be visited before node18\nnode 5 should be visited before node11\nnode 5 should be visited before node12\nnode 5 should be visited before node3\nnode 5 should be visited before node16\nnode 5 should be visited before node13\nnode 5 should be visited before node20\nnode 5 should be visited before node19\nnode 5 should be visited before node15\nnode 5 should be visited before node8\nnode 5 should be visited before node0\nnode 5 should be visited before node17\nnode 6 should be visited before node22\nnode 6 should be visited before node2\nnode 6 should be visited before node17\nnode 7 should be visited before node21\nnode 7 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node22\nnode 7 should be visited before node2\nnode 7 should be visited before node0\nnode 8 should be visited before node0\nnode 8 should be visited before node17\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node13\nnode 9 should be visited before node22\nnode 10 should be visited before node9\nnode 10 should be visited before node18\nnode 10 should be visited before node11\nnode 10 should be visited before node14\nnode 10 should be visited before node3\nnode 10 should be visited before node7\nnode 10 should be visited before node21\nnode 10 should be visited before node19\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node4\nnode 10 should be visited before node2\nnode 11 should be visited before node12\nnode 11 should be visited before node14\nnode 11 should be visited before node7\nnode 11 should be visited before node16\nnode 11 should be visited before node13\nnode 11 should be visited before node15\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 11 should be visited before node17\nnode 12 should be visited before node3\nnode 12 should be visited before node21\nnode 12 should be visited before node16\nnode 12 should be visited before node20\nnode 12 should be visited before node19\nnode 12 should be visited before node15\nnode 12 should be visited before node22\nnode 12 should be visited before node17\nnode 13 should be visited before node20\nnode 13 should be visited before node8\nnode 13 should be visited before node0\nnode 13 should be visited before node17\nnode 14 should be visited before node21\nnode 14 should be visited before node16\nnode 14 should be visited before node20\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node22\nnode 14 should be visited before node2\nnode 14 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node4\nnode 15 should be visited before node2\nnode 16 should be visited before node15\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 16 should be visited before node4\nnode 16 should be visited before node0\nnode 18 should be visited before node14\nnode 18 should be visited before node3\nnode 18 should be visited before node7\nnode 18 should be visited before node21\nnode 18 should be visited before node16\nnode 18 should be visited before node13\nnode 18 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node6\nnode 18 should be visited before node4\nnode 18 should be visited before node0\nnode 19 should be visited before node15\nnode 19 should be visited before node8\nnode 19 should be visited before node6\nnode 19 should be visited before node4\nnode 19 should be visited before node0\nnode 19 should be visited before node17\nnode 20 should be visited before node19\nnode 20 should be visited before node15\nnode 20 should be visited before node8\nnode 20 should be visited before node22\nnode 20 should be visited before node2\nnode 20 should be visited before node0\nnode 21 should be visited before node13\nnode 21 should be visited before node20\nnode 21 should be visited before node19\nnode 21 should be visited before node8\nnode 21 should be visited before node6\nnode 21 should be visited before node4\nnode 21 should be visited before node2\nnode 21 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,10,9,5,18,11,12,14,3,7,16,21,13,20,19,15,8,6,4,22,2,0,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph825",
        "image": "data/topology/graph_visual/medium/graph825.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node11\nnode 0 should be visited before node17\nnode 0 should be visited before node5\nnode 0 should be visited before node14\nnode 1 should be visited before node8\nnode 1 should be visited before node14\nnode 3 should be visited before node6\nnode 3 should be visited before node14\nnode 4 should be visited before node18\nnode 4 should be visited before node16\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 5 should be visited before node15\nnode 5 should be visited before node14\nnode 7 should be visited before node0\nnode 7 should be visited before node12\nnode 7 should be visited before node19\nnode 7 should be visited before node1\nnode 7 should be visited before node8\nnode 7 should be visited before node14\nnode 8 should be visited before node10\nnode 8 should be visited before node6\nnode 9 should be visited before node19\nnode 9 should be visited before node11\nnode 9 should be visited before node17\nnode 9 should be visited before node1\nnode 9 should be visited before node8\nnode 9 should be visited before node3\nnode 10 should be visited before node3\nnode 10 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node15\nnode 11 should be visited before node3\nnode 11 should be visited before node2\nnode 12 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 13 should be visited before node19\nnode 13 should be visited before node1\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 15 should be visited before node8\nnode 15 should be visited before node3\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 16 should be visited before node0\nnode 16 should be visited before node17\nnode 16 should be visited before node1\nnode 16 should be visited before node2\nnode 17 should be visited before node3\nnode 17 should be visited before node14\nnode 17 should be visited before node2\nnode 18 should be visited before node13\nnode 18 should be visited before node1\nnode 19 should be visited before node5\nnode 19 should be visited before node3\nnode 19 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,7,9,18,16,12,13,0,19,11,17,5,1,15,8,10,3,2,6,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph176",
        "image": "data/topology/graph_visual/medium/graph176.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node1\nnode 0 should be visited before node9\nnode 0 should be visited before node7\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node10\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node1\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 9 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 11 should be visited before node3\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,8,4,11,3,6,0,10,5,1,9,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph402",
        "image": "data/topology/graph_visual/medium/graph402.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 1 should be visited before node12\nnode 1 should be visited before node11\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 2 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 4 should be visited before node3\nnode 4 should be visited before node11\nnode 5 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node4\nnode 7 should be visited before node11\nnode 7 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node13\nnode 8 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node12\nnode 9 should be visited before node13\nnode 9 should be visited before node3\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node6\nnode 10 should be visited before node12\nnode 10 should be visited before node13\nnode 10 should be visited before node5\nnode 10 should be visited before node0\nnode 11 should be visited before node5\nnode 11 should be visited before node0\nnode 12 should be visited before node11\nnode 12 should be visited before node2\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 13 should be visited before node4\nnode 13 should be visited before node0\nnode 14 should be visited before node10\nnode 14 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node6\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,14,10,1,9,8,12,6,13,4,3,11,2,5,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph114",
        "image": "data/topology/graph_visual/medium/graph114.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 4 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 10 should be visited before node2\nnode 11 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,8,9,1,10,4,11,2,7,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph613",
        "image": "data/topology/graph_visual/medium/graph613.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node9\nnode 0 should be visited before node10\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node15\nnode 1 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node14\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node15\nnode 1 should be visited before node12\nnode 2 should be visited before node15\nnode 2 should be visited before node12\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 3 should be visited before node14\nnode 3 should be visited before node13\nnode 3 should be visited before node11\nnode 3 should be visited before node6\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node2\nnode 4 should be visited before node15\nnode 4 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node9\nnode 5 should be visited before node10\nnode 5 should be visited before node14\nnode 5 should be visited before node13\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node15\nnode 5 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node15\nnode 6 should be visited before node12\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node11\nnode 7 should be visited before node16\nnode 7 should be visited before node2\nnode 7 should be visited before node15\nnode 7 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node16\nnode 8 should be visited before node2\nnode 8 should be visited before node15\nnode 8 should be visited before node12\nnode 9 should be visited before node10\nnode 9 should be visited before node14\nnode 9 should be visited before node13\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node13\nnode 10 should be visited before node11\nnode 10 should be visited before node6\nnode 10 should be visited before node16\nnode 10 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node12\nnode 13 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node15\nnode 13 should be visited before node12\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node15\nnode 14 should be visited before node12\nnode 15 should be visited before node12\nnode 16 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,7,8,5,1,9,10,14,13,11,6,4,16,2,15,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph530",
        "image": "data/topology/graph_visual/medium/graph530.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 0 should be visited before node15\nnode 0 should be visited before node8\nnode 0 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node15\nnode 1 should be visited before node8\nnode 1 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node15\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node15\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 4 should be visited before node14\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 5 should be visited before node10\nnode 5 should be visited before node7\nnode 5 should be visited before node14\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node15\nnode 5 should be visited before node8\nnode 5 should be visited before node11\nnode 6 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node2\nnode 7 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node13\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node8\nnode 9 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node1\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 12 should be visited before node2\nnode 12 should be visited before node3\nnode 12 should be visited before node15\nnode 12 should be visited before node8\nnode 12 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node0\nnode 13 should be visited before node1\nnode 13 should be visited before node6\nnode 14 should be visited before node2\nnode 14 should be visited before node0\nnode 14 should be visited before node6\nnode 14 should be visited before node11\nnode 15 should be visited before node8\nnode 15 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,9,10,7,12,13,14,2,3,0,1,6,15,8,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph600",
        "image": "data/topology/graph_visual/medium/graph600.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node11\nnode 0 should be visited before node9\nnode 0 should be visited before node6\nnode 0 should be visited before node15\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 0 should be visited before node14\nnode 0 should be visited before node10\nnode 1 should be visited before node8\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node0\nnode 1 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node12\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 1 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node11\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node15\nnode 2 should be visited before node13\nnode 2 should be visited before node14\nnode 2 should be visited before node10\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node11\nnode 3 should be visited before node12\nnode 3 should be visited before node6\nnode 3 should be visited before node15\nnode 3 should be visited before node5\nnode 3 should be visited before node13\nnode 3 should be visited before node14\nnode 3 should be visited before node10\nnode 4 should be visited before node0\nnode 4 should be visited before node11\nnode 4 should be visited before node9\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node5\nnode 4 should be visited before node14\nnode 4 should be visited before node10\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node10\nnode 6 should be visited before node15\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 7 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 8 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node10\nnode 11 should be visited before node9\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node13\nnode 11 should be visited before node14\nnode 12 should be visited before node6\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 12 should be visited before node14\nnode 15 should be visited before node5\nnode 15 should be visited before node13\nnode 15 should be visited before node14\nnode 15 should be visited before node10\nnode 16 should be visited before node1\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 16 should be visited before node3\nnode 16 should be visited before node4\nnode 16 should be visited before node0\nnode 16 should be visited before node9\nnode 16 should be visited before node12\nnode 16 should be visited before node6\nnode 16 should be visited before node15\nnode 16 should be visited before node5\nnode 16 should be visited before node14\nnode 16 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,16,1,8,7,3,4,0,11,9,12,6,15,5,13,14,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph440",
        "image": "data/topology/graph_visual/medium/graph440.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 2 should be visited before node4\nnode 2 should be visited before node14\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 3 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node11\nnode 4 should be visited before node14\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 5 should be visited before node2\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 7 should be visited before node11\nnode 7 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node8\nnode 9 should be visited before node4\nnode 9 should be visited before node12\nnode 9 should be visited before node11\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node1\nnode 9 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node14\nnode 10 should be visited before node1\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 11 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node3\nnode 11 should be visited before node6\nnode 11 should be visited before node8\nnode 12 should be visited before node11\nnode 12 should be visited before node14\nnode 12 should be visited before node0\nnode 12 should be visited before node1\nnode 12 should be visited before node6\nnode 12 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node10\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 13 should be visited before node4\nnode 13 should be visited before node12\nnode 13 should be visited before node11\nnode 13 should be visited before node0\nnode 13 should be visited before node6\nnode 13 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 14 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,13,5,10,2,9,4,12,11,14,0,1,3,8,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph1342",
        "image": "data/topology/graph_visual/medium/graph1342.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node14\nnode 0 should be visited before node17\nnode 0 should be visited before node8\nnode 0 should be visited before node23\nnode 0 should be visited before node16\nnode 0 should be visited before node18\nnode 0 should be visited before node20\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node9\nnode 0 should be visited before node24\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 1 should be visited before node9\nnode 1 should be visited before node24\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node23\nnode 2 should be visited before node19\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 2 should be visited before node20\nnode 2 should be visited before node13\nnode 2 should be visited before node11\nnode 2 should be visited before node21\nnode 2 should be visited before node1\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node24\nnode 3 should be visited before node23\nnode 3 should be visited before node16\nnode 3 should be visited before node19\nnode 3 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node15\nnode 3 should be visited before node21\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 3 should be visited before node9\nnode 4 should be visited before node18\nnode 4 should be visited before node20\nnode 4 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 5 should be visited before node9\nnode 5 should be visited before node24\nnode 6 should be visited before node22\nnode 6 should be visited before node12\nnode 6 should be visited before node0\nnode 6 should be visited before node17\nnode 6 should be visited before node2\nnode 6 should be visited before node23\nnode 6 should be visited before node16\nnode 6 should be visited before node4\nnode 6 should be visited before node20\nnode 6 should be visited before node15\nnode 6 should be visited before node13\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 6 should be visited before node9\nnode 6 should be visited before node24\nnode 7 should be visited before node9\nnode 7 should be visited before node24\nnode 8 should be visited before node16\nnode 8 should be visited before node19\nnode 8 should be visited before node4\nnode 8 should be visited before node18\nnode 8 should be visited before node20\nnode 8 should be visited before node15\nnode 8 should be visited before node13\nnode 8 should be visited before node21\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node24\nnode 9 should be visited before node24\nnode 10 should be visited before node9\nnode 10 should be visited before node24\nnode 11 should be visited before node21\nnode 11 should be visited before node1\nnode 11 should be visited before node7\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 11 should be visited before node9\nnode 11 should be visited before node24\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node19\nnode 12 should be visited before node4\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node13\nnode 12 should be visited before node11\nnode 12 should be visited before node21\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node24\nnode 13 should be visited before node11\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node9\nnode 14 should be visited before node2\nnode 14 should be visited before node3\nnode 14 should be visited before node8\nnode 14 should be visited before node23\nnode 14 should be visited before node16\nnode 14 should be visited before node18\nnode 14 should be visited before node20\nnode 14 should be visited before node13\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node7\nnode 14 should be visited before node9\nnode 15 should be visited before node13\nnode 15 should be visited before node11\nnode 15 should be visited before node1\nnode 15 should be visited before node7\nnode 15 should be visited before node10\nnode 15 should be visited before node5\nnode 15 should be visited before node9\nnode 15 should be visited before node24\nnode 16 should be visited before node19\nnode 16 should be visited before node4\nnode 16 should be visited before node18\nnode 16 should be visited before node20\nnode 16 should be visited before node15\nnode 16 should be visited before node13\nnode 16 should be visited before node11\nnode 16 should be visited before node21\nnode 16 should be visited before node7\nnode 16 should be visited before node10\nnode 16 should be visited before node9\nnode 16 should be visited before node24\nnode 17 should be visited before node2\nnode 17 should be visited before node3\nnode 17 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node4\nnode 17 should be visited before node18\nnode 17 should be visited before node15\nnode 17 should be visited before node13\nnode 17 should be visited before node11\nnode 17 should be visited before node1\nnode 17 should be visited before node7\nnode 17 should be visited before node10\nnode 18 should be visited before node15\nnode 18 should be visited before node13\nnode 18 should be visited before node21\nnode 18 should be visited before node1\nnode 18 should be visited before node5\nnode 18 should be visited before node9\nnode 19 should be visited before node4\nnode 19 should be visited before node18\nnode 19 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node13\nnode 19 should be visited before node11\nnode 19 should be visited before node21\nnode 19 should be visited before node7\nnode 19 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 20 should be visited before node11\nnode 20 should be visited before node21\nnode 20 should be visited before node1\nnode 20 should be visited before node7\nnode 20 should be visited before node5\nnode 20 should be visited before node9\nnode 20 should be visited before node24\nnode 21 should be visited before node1\nnode 21 should be visited before node7\nnode 21 should be visited before node10\nnode 21 should be visited before node5\nnode 21 should be visited before node9\nnode 21 should be visited before node24\nnode 22 should be visited before node12\nnode 22 should be visited before node0\nnode 22 should be visited before node14\nnode 22 should be visited before node17\nnode 22 should be visited before node2\nnode 22 should be visited before node23\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node18\nnode 22 should be visited before node20\nnode 22 should be visited before node15\nnode 22 should be visited before node13\nnode 22 should be visited before node11\nnode 22 should be visited before node1\nnode 22 should be visited before node10\nnode 22 should be visited before node5\nnode 22 should be visited before node24\nnode 23 should be visited before node16\nnode 23 should be visited before node19\nnode 23 should be visited before node4\nnode 23 should be visited before node20\nnode 23 should be visited before node11\nnode 23 should be visited before node21\nnode 23 should be visited before node1\nnode 23 should be visited before node7\nnode 23 should be visited before node10\nnode 23 should be visited before node9\nnode 23 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,22,12,0,14,17,2,3,8,23,16,19,4,18,20,15,13,11,21,1,7,10,5,9,24."
            }
        ]
    },
    {
        "id": "topology-medium-graph674",
        "image": "data/topology/graph_visual/medium/graph674.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 1 should be visited before node8\nnode 1 should be visited before node17\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node17\nnode 3 should be visited before node8\nnode 4 should be visited before node10\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node8\nnode 4 should be visited before node17\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node14\nnode 6 should be visited before node15\nnode 6 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node17\nnode 6 should be visited before node0\nnode 7 should be visited before node14\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 9 should be visited before node17\nnode 10 should be visited before node13\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node1\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 11 should be visited before node15\nnode 11 should be visited before node5\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 12 should be visited before node16\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node13\nnode 12 should be visited before node5\nnode 12 should be visited before node1\nnode 12 should be visited before node8\nnode 12 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 13 should be visited before node3\nnode 13 should be visited before node8\nnode 13 should be visited before node17\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node17\nnode 15 should be visited before node9\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 15 should be visited before node8\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 16 should be visited before node4\nnode 16 should be visited before node10\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 16 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,12,6,16,7,4,14,10,15,13,5,2,0,9,1,3,17,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph44",
        "image": "data/topology/graph_visual/medium/graph44.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node4\nnode 0 should be visited before node8\nnode 0 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 2 should be visited before node3\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node9\nnode 8 should be visited before node3\nnode 8 should be visited before node9\nnode 10 should be visited before node8\nnode 10 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,6,7,4,1,5,2,10,8,3,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph265",
        "image": "data/topology/graph_visual/medium/graph265.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 0 should be visited before node12\nnode 0 should be visited before node3\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 2 should be visited before node1\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node3\nnode 9 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 10 should be visited before node2\nnode 10 should be visited before node1\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 12 should be visited before node3\nnode 12 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,9,12,6,5,3,8,11,7,10,2,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph853",
        "image": "data/topology/graph_visual/medium/graph853.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node5\nnode 0 should be visited before node10\nnode 0 should be visited before node19\nnode 0 should be visited before node8\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node6\nnode 1 should be visited before node11\nnode 1 should be visited before node19\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node18\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 2 should be visited before node8\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node5\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node8\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node14\nnode 4 should be visited before node15\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node18\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 5 should be visited before node18\nnode 5 should be visited before node19\nnode 7 should be visited before node15\nnode 7 should be visited before node16\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 7 should be visited before node18\nnode 7 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node0\nnode 9 should be visited before node16\nnode 9 should be visited before node10\nnode 9 should be visited before node13\nnode 9 should be visited before node11\nnode 9 should be visited before node19\nnode 9 should be visited before node8\nnode 10 should be visited before node18\nnode 11 should be visited before node19\nnode 11 should be visited before node8\nnode 12 should be visited before node4\nnode 12 should be visited before node3\nnode 12 should be visited before node9\nnode 12 should be visited before node2\nnode 12 should be visited before node1\nnode 12 should be visited before node15\nnode 12 should be visited before node0\nnode 12 should be visited before node16\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 12 should be visited before node19\nnode 13 should be visited before node11\nnode 13 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node19\nnode 15 should be visited before node16\nnode 15 should be visited before node10\nnode 15 should be visited before node18\nnode 16 should be visited before node13\nnode 16 should be visited before node19\nnode 17 should be visited before node12\nnode 17 should be visited before node3\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 17 should be visited before node7\nnode 17 should be visited before node14\nnode 17 should be visited before node15\nnode 17 should be visited before node0\nnode 17 should be visited before node16\nnode 17 should be visited before node5\nnode 17 should be visited before node10\nnode 17 should be visited before node18\nnode 17 should be visited before node6\nnode 17 should be visited before node11\nnode 17 should be visited before node19\nnode 17 should be visited before node8\nnode 18 should be visited before node13\nnode 18 should be visited before node19\nnode 18 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,12,4,3,9,7,2,15,1,0,14,6,5,16,10,18,13,11,19,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph830",
        "image": "data/topology/graph_visual/medium/graph830.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node17\nnode 0 should be visited before node16\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 1 should be visited before node11\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 2 should be visited before node15\nnode 2 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node15\nnode 3 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node5\nnode 4 should be visited before node10\nnode 5 should be visited before node17\nnode 5 should be visited before node10\nnode 6 should be visited before node4\nnode 6 should be visited before node11\nnode 6 should be visited before node17\nnode 6 should be visited before node16\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node15\nnode 7 should be visited before node11\nnode 7 should be visited before node16\nnode 9 should be visited before node5\nnode 12 should be visited before node5\nnode 12 should be visited before node8\nnode 13 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 14 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node17\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 15 should be visited before node5\nnode 15 should be visited before node17\nnode 15 should be visited before node16\nnode 18 should be visited before node11\nnode 18 should be visited before node16\nnode 19 should be visited before node3\nnode 19 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,6,7,12,13,14,19,0,18,9,8,3,4,15,11,5,16,17,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph623",
        "image": "data/topology/graph_visual/medium/graph623.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node2\nnode 0 should be visited before node9\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 0 should be visited before node12\nnode 1 should be visited before node13\nnode 2 should be visited before node14\nnode 2 should be visited before node16\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node12\nnode 3 should be visited before node8\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 3 should be visited before node16\nnode 3 should be visited before node6\nnode 3 should be visited before node10\nnode 3 should be visited before node4\nnode 3 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node9\nnode 5 should be visited before node16\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node1\nnode 7 should be visited before node1\nnode 7 should be visited before node13\nnode 7 should be visited before node12\nnode 8 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node16\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 9 should be visited before node14\nnode 9 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node7\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 13 should be visited before node12\nnode 14 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node4\nnode 14 should be visited before node1\nnode 14 should be visited before node13\nnode 14 should be visited before node12\nnode 15 should be visited before node8\nnode 15 should be visited before node2\nnode 15 should be visited before node9\nnode 15 should be visited before node14\nnode 15 should be visited before node16\nnode 15 should be visited before node11\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node7\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 15 should be visited before node12\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node13\nnode 16 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,15,3,8,0,2,9,14,16,10,11,6,4,7,1,13,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph670",
        "image": "data/topology/graph_visual/medium/graph670.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node10\nnode 0 should be visited before node9\nnode 1 should be visited before node15\nnode 1 should be visited before node8\nnode 1 should be visited before node16\nnode 1 should be visited before node12\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node16\nnode 2 should be visited before node3\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node12\nnode 3 should be visited before node10\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 4 should be visited before node14\nnode 4 should be visited before node3\nnode 4 should be visited before node12\nnode 4 should be visited before node9\nnode 5 should be visited before node13\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node15\nnode 5 should be visited before node8\nnode 5 should be visited before node16\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node10\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node14\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 8 should be visited before node16\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 8 should be visited before node12\nnode 8 should be visited before node10\nnode 11 should be visited before node15\nnode 11 should be visited before node8\nnode 11 should be visited before node16\nnode 11 should be visited before node0\nnode 11 should be visited before node10\nnode 11 should be visited before node9\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 13 should be visited before node6\nnode 13 should be visited before node2\nnode 13 should be visited before node11\nnode 13 should be visited before node8\nnode 13 should be visited before node16\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node12\nnode 13 should be visited before node9\nnode 14 should be visited before node3\nnode 14 should be visited before node7\nnode 15 should be visited before node8\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 16 should be visited before node14\nnode 16 should be visited before node3\nnode 16 should be visited before node7\nnode 16 should be visited before node12\nnode 16 should be visited before node0\nnode 16 should be visited before node10\nnode 16 should be visited before node9\nnode 17 should be visited before node5\nnode 17 should be visited before node13\nnode 17 should be visited before node6\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 17 should be visited before node14\nnode 17 should be visited before node3\nnode 17 should be visited before node0\nnode 17 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,17,5,13,6,2,11,1,15,8,16,14,3,7,12,0,10,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph86",
        "image": "data/topology/graph_visual/medium/graph86.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 0 should be visited before node9\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 2 should be visited before node5\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node8\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node8\nnode 4 should be visited before node10\nnode 6 should be visited before node2\nnode 6 should be visited before node9\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 8 should be visited before node10\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 9 should be visited before node10\nnode 9 should be visited before node5\nnode 10 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,4,6,1,2,9,7,8,10,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph570",
        "image": "data/topology/graph_visual/medium/graph570.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node10\nnode 0 should be visited before node13\nnode 0 should be visited before node15\nnode 0 should be visited before node7\nnode 0 should be visited before node16\nnode 1 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node13\nnode 1 should be visited before node15\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node16\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node15\nnode 2 should be visited before node14\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 3 should be visited before node15\nnode 4 should be visited before node8\nnode 4 should be visited before node10\nnode 4 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node16\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node6\nnode 5 should be visited before node16\nnode 7 should be visited before node16\nnode 8 should be visited before node3\nnode 8 should be visited before node15\nnode 8 should be visited before node14\nnode 8 should be visited before node7\nnode 8 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node16\nnode 10 should be visited before node13\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node16\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node10\nnode 11 should be visited before node13\nnode 11 should be visited before node16\nnode 12 should be visited before node0\nnode 12 should be visited before node4\nnode 12 should be visited before node8\nnode 12 should be visited before node3\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 13 should be visited before node14\nnode 13 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node16\nnode 14 should be visited before node6\nnode 15 should be visited before node14\nnode 15 should be visited before node6\nnode 15 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,9,11,12,2,0,4,5,8,3,10,13,15,7,14,16,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph238",
        "image": "data/topology/graph_visual/medium/graph238.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node7\nnode 0 should be visited before node12\nnode 0 should be visited before node10\nnode 0 should be visited before node3\nnode 0 should be visited before node11\nnode 0 should be visited before node9\nnode 0 should be visited before node4\nnode 1 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node8\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 5 should be visited before node8\nnode 6 should be visited before node8\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node6\nnode 8 should be visited before node4\nnode 9 should be visited before node4\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node4\nnode 11 should be visited before node5\nnode 11 should be visited before node9\nnode 11 should be visited before node6\nnode 11 should be visited before node8\nnode 12 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,7,12,2,10,3,11,1,5,9,6,8,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph861",
        "image": "data/topology/graph_visual/medium/graph861.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node9\nnode 0 should be visited before node11\nnode 0 should be visited before node17\nnode 0 should be visited before node3\nnode 0 should be visited before node13\nnode 0 should be visited before node8\nnode 0 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node5\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node15\nnode 4 should be visited before node12\nnode 4 should be visited before node17\nnode 4 should be visited before node10\nnode 4 should be visited before node16\nnode 4 should be visited before node8\nnode 4 should be visited before node6\nnode 5 should be visited before node18\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node6\nnode 7 should be visited before node19\nnode 7 should be visited before node15\nnode 7 should be visited before node17\nnode 7 should be visited before node5\nnode 7 should be visited before node18\nnode 7 should be visited before node13\nnode 7 should be visited before node16\nnode 7 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node19\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 9 should be visited before node18\nnode 9 should be visited before node16\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 10 should be visited before node13\nnode 11 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node17\nnode 11 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node1\nnode 11 should be visited before node6\nnode 12 should be visited before node17\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 12 should be visited before node18\nnode 12 should be visited before node13\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 14 should be visited before node15\nnode 14 should be visited before node12\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node5\nnode 14 should be visited before node8\nnode 14 should be visited before node1\nnode 15 should be visited before node12\nnode 15 should be visited before node17\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node18\nnode 15 should be visited before node13\nnode 15 should be visited before node1\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 17 should be visited before node3\nnode 17 should be visited before node5\nnode 17 should be visited before node18\nnode 17 should be visited before node6\nnode 18 should be visited before node16\nnode 18 should be visited before node8\nnode 18 should be visited before node1\nnode 18 should be visited before node6\nnode 19 should be visited before node12\nnode 19 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node1\nnode 19 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,14,9,4,2,7,11,19,15,12,17,10,3,5,13,18,16,1,8,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph165",
        "image": "data/topology/graph_visual/medium/graph165.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node3\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node10\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node6\nnode 3 should be visited before node8\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 6 should be visited before node4\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node2\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 9 should be visited before node11\nnode 9 should be visited before node3\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 10 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,9,7,11,0,3,8,10,2,5,6,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph410",
        "image": "data/topology/graph_visual/medium/graph410.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 0 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 2 should be visited before node14\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 4 should be visited before node14\nnode 5 should be visited before node12\nnode 5 should be visited before node2\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 6 should be visited before node1\nnode 6 should be visited before node14\nnode 7 should be visited before node14\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node8\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node13\nnode 10 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node6\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node14\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node14\nnode 13 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,5,12,2,11,0,6,3,9,4,1,7,13,14,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph493",
        "image": "data/topology/graph_visual/medium/graph493.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 1 should be visited before node14\nnode 1 should be visited before node13\nnode 2 should be visited before node14\nnode 2 should be visited before node13\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node13\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node14\nnode 5 should be visited before node10\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 5 should be visited before node3\nnode 5 should be visited before node2\nnode 5 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node2\nnode 7 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node10\nnode 8 should be visited before node15\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node15\nnode 9 should be visited before node1\nnode 9 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node2\nnode 9 should be visited before node0\nnode 9 should be visited before node13\nnode 10 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 12 should be visited before node2\nnode 12 should be visited before node14\nnode 15 should be visited before node6\nnode 15 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,9,8,5,15,10,4,11,1,7,6,3,2,0,14,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph605",
        "image": "data/topology/graph_visual/medium/graph605.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node14\nnode 0 should be visited before node9\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 0 should be visited before node12\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node10\nnode 1 should be visited before node7\nnode 1 should be visited before node11\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node13\nnode 2 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node13\nnode 2 should be visited before node15\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 3 should be visited before node14\nnode 3 should be visited before node9\nnode 3 should be visited before node16\nnode 3 should be visited before node10\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 3 should be visited before node12\nnode 3 should be visited before node8\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 4 should be visited before node10\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node8\nnode 4 should be visited before node13\nnode 5 should be visited before node13\nnode 5 should be visited before node15\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node10\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 7 should be visited before node11\nnode 7 should be visited before node5\nnode 7 should be visited before node8\nnode 7 should be visited before node13\nnode 8 should be visited before node13\nnode 9 should be visited before node16\nnode 9 should be visited before node10\nnode 9 should be visited before node7\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 9 should be visited before node8\nnode 9 should be visited before node13\nnode 9 should be visited before node15\nnode 10 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node8\nnode 10 should be visited before node13\nnode 10 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node8\nnode 11 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 14 should be visited before node9\nnode 14 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node8\nnode 14 should be visited before node15\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node12\nnode 16 should be visited before node5\nnode 16 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,6,4,1,2,14,9,16,7,10,11,12,8,5,13,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph1005",
        "image": "data/topology/graph_visual/medium/graph1005.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 1 should be visited before node14\nnode 1 should be visited before node2\nnode 1 should be visited before node17\nnode 1 should be visited before node21\nnode 1 should be visited before node13\nnode 1 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node18\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node17\nnode 2 should be visited before node21\nnode 2 should be visited before node13\nnode 2 should be visited before node20\nnode 3 should be visited before node17\nnode 3 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node10\nnode 4 should be visited before node17\nnode 4 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node0\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node16\nnode 5 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 5 should be visited before node8\nnode 6 should be visited before node17\nnode 6 should be visited before node21\nnode 6 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node17\nnode 8 should be visited before node21\nnode 10 should be visited before node18\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node21\nnode 10 should be visited before node20\nnode 10 should be visited before node9\nnode 11 should be visited before node17\nnode 11 should be visited before node13\nnode 11 should be visited before node20\nnode 11 should be visited before node9\nnode 12 should be visited before node2\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 12 should be visited before node17\nnode 12 should be visited before node8\nnode 12 should be visited before node21\nnode 12 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node16\nnode 14 should be visited before node4\nnode 14 should be visited before node17\nnode 14 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node4\nnode 15 should be visited before node10\nnode 15 should be visited before node6\nnode 15 should be visited before node11\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node20\nnode 16 should be visited before node4\nnode 16 should be visited before node13\nnode 17 should be visited before node21\nnode 17 should be visited before node20\nnode 18 should be visited before node3\nnode 18 should be visited before node0\nnode 18 should be visited before node20\nnode 19 should be visited before node5\nnode 19 should be visited before node10\nnode 19 should be visited before node18\nnode 19 should be visited before node6\nnode 19 should be visited before node21\nnode 19 should be visited before node13\nnode 19 should be visited before node20\nnode 20 should be visited before node9\nnode 21 should be visited before node0\nnode 21 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,15,19,14,5,12,7,16,6,4,2,8,10,18,11,3,17,13,21,20,0,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph200",
        "image": "data/topology/graph_visual/medium/graph200.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node12\nnode 0 should be visited before node11\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 2 should be visited before node6\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node6\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node6\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node11\nnode 11 should be visited before node6\nnode 12 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,7,10,1,5,9,8,0,2,12,11,3,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph207",
        "image": "data/topology/graph_visual/medium/graph207.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 0 should be visited before node9\nnode 0 should be visited before node8\nnode 0 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node9\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 6 should be visited before node4\nnode 8 should be visited before node2\nnode 9 should be visited before node8\nnode 10 should be visited before node7\nnode 10 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node6\nnode 12 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,5,11,1,3,10,6,12,7,9,4,8,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph945",
        "image": "data/topology/graph_visual/medium/graph945.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node15\nnode 0 should be visited before node6\nnode 0 should be visited before node12\nnode 0 should be visited before node7\nnode 0 should be visited before node19\nnode 0 should be visited before node2\nnode 0 should be visited before node8\nnode 0 should be visited before node18\nnode 0 should be visited before node17\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node10\nnode 0 should be visited before node1\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 2 should be visited before node5\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node10\nnode 5 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 6 should be visited before node13\nnode 6 should be visited before node11\nnode 6 should be visited before node20\nnode 6 should be visited before node8\nnode 6 should be visited before node18\nnode 6 should be visited before node5\nnode 6 should be visited before node1\nnode 7 should be visited before node13\nnode 7 should be visited before node20\nnode 7 should be visited before node16\nnode 7 should be visited before node2\nnode 7 should be visited before node8\nnode 7 should be visited before node18\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node13\nnode 9 should be visited before node20\nnode 9 should be visited before node2\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node10\nnode 9 should be visited before node5\nnode 11 should be visited before node2\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node5\nnode 11 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node13\nnode 12 should be visited before node19\nnode 12 should be visited before node20\nnode 12 should be visited before node17\nnode 12 should be visited before node4\nnode 12 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 13 should be visited before node20\nnode 13 should be visited before node2\nnode 13 should be visited before node8\nnode 13 should be visited before node17\nnode 13 should be visited before node10\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 15 should be visited before node6\nnode 15 should be visited before node12\nnode 15 should be visited before node9\nnode 15 should be visited before node7\nnode 15 should be visited before node19\nnode 15 should be visited before node11\nnode 15 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node3\nnode 15 should be visited before node14\nnode 15 should be visited before node5\nnode 16 should be visited before node2\nnode 16 should be visited before node8\nnode 16 should be visited before node17\nnode 16 should be visited before node4\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 17 should be visited before node5\nnode 18 should be visited before node4\nnode 18 should be visited before node3\nnode 18 should be visited before node10\nnode 19 should be visited before node2\nnode 19 should be visited before node8\nnode 19 should be visited before node18\nnode 19 should be visited before node17\nnode 19 should be visited before node4\nnode 19 should be visited before node3\nnode 19 should be visited before node10\nnode 19 should be visited before node5\nnode 20 should be visited before node16\nnode 20 should be visited before node2\nnode 20 should be visited before node18\nnode 20 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node10\nnode 20 should be visited before node5\nnode 20 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,15,6,12,9,11,19,7,13,20,16,2,8,18,17,14,4,3,10,5,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph10",
        "image": "data/topology/graph_visual/medium/graph10.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node8\nnode 1 should be visited before node9\nnode 2 should be visited before node8\nnode 3 should be visited before node8\nnode 4 should be visited before node9\nnode 4 should be visited before node5\nnode 5 should be visited before node10\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 7 should be visited before node6\nnode 9 should be visited before node6\nnode 9 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,3,4,7,9,5,10,2,6,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph1031",
        "image": "data/topology/graph_visual/medium/graph1031.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node3\nnode 0 should be visited before node17\nnode 0 should be visited before node14\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 0 should be visited before node7\nnode 0 should be visited before node2\nnode 1 should be visited before node2\nnode 1 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node12\nnode 3 should be visited before node10\nnode 3 should be visited before node11\nnode 3 should be visited before node16\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node20\nnode 3 should be visited before node18\nnode 4 should be visited before node12\nnode 4 should be visited before node21\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 4 should be visited before node18\nnode 5 should be visited before node10\nnode 5 should be visited before node15\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node20\nnode 5 should be visited before node18\nnode 5 should be visited before node9\nnode 6 should be visited before node0\nnode 6 should be visited before node17\nnode 6 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node4\nnode 6 should be visited before node12\nnode 6 should be visited before node21\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node2\nnode 6 should be visited before node18\nnode 6 should be visited before node9\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node16\nnode 8 should be visited before node1\nnode 8 should be visited before node20\nnode 8 should be visited before node18\nnode 10 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node2\nnode 10 should be visited before node18\nnode 10 should be visited before node9\nnode 11 should be visited before node15\nnode 11 should be visited before node1\nnode 11 should be visited before node20\nnode 12 should be visited before node21\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node15\nnode 12 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node2\nnode 12 should be visited before node18\nnode 13 should be visited before node8\nnode 13 should be visited before node10\nnode 13 should be visited before node16\nnode 13 should be visited before node1\nnode 13 should be visited before node9\nnode 14 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node2\nnode 16 should be visited before node20\nnode 17 should be visited before node13\nnode 17 should be visited before node19\nnode 17 should be visited before node12\nnode 17 should be visited before node10\nnode 17 should be visited before node15\nnode 17 should be visited before node18\nnode 19 should be visited before node12\nnode 19 should be visited before node5\nnode 19 should be visited before node10\nnode 19 should be visited before node11\nnode 19 should be visited before node7\nnode 19 should be visited before node1\nnode 19 should be visited before node2\nnode 20 should be visited before node18\nnode 20 should be visited before node9\nnode 21 should be visited before node8\nnode 21 should be visited before node5\nnode 21 should be visited before node11\nnode 21 should be visited before node16\nnode 21 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,0,4,3,17,14,13,19,12,21,8,5,11,7,10,15,16,1,20,2,18,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph1020",
        "image": "data/topology/graph_visual/medium/graph1020.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node8\nnode 0 should be visited before node19\nnode 0 should be visited before node6\nnode 0 should be visited before node10\nnode 0 should be visited before node16\nnode 1 should be visited before node2\nnode 1 should be visited before node20\nnode 1 should be visited before node9\nnode 1 should be visited before node21\nnode 1 should be visited before node17\nnode 1 should be visited before node18\nnode 1 should be visited before node0\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node19\nnode 1 should be visited before node12\nnode 1 should be visited before node10\nnode 1 should be visited before node16\nnode 1 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 2 should be visited before node13\nnode 2 should be visited before node17\nnode 2 should be visited before node18\nnode 2 should be visited before node0\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 3 should be visited before node7\nnode 3 should be visited before node20\nnode 3 should be visited before node9\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 3 should be visited before node19\nnode 3 should be visited before node12\nnode 3 should be visited before node10\nnode 5 should be visited before node19\nnode 5 should be visited before node6\nnode 5 should be visited before node12\nnode 5 should be visited before node14\nnode 5 should be visited before node4\nnode 6 should be visited before node10\nnode 6 should be visited before node16\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node12\nnode 7 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node10\nnode 8 should be visited before node14\nnode 9 should be visited before node13\nnode 9 should be visited before node18\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node14\nnode 10 should be visited before node4\nnode 11 should be visited before node13\nnode 11 should be visited before node17\nnode 11 should be visited before node0\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node12\nnode 11 should be visited before node10\nnode 11 should be visited before node16\nnode 11 should be visited before node14\nnode 11 should be visited before node4\nnode 12 should be visited before node4\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 13 should be visited before node8\nnode 13 should be visited before node19\nnode 13 should be visited before node10\nnode 13 should be visited before node16\nnode 13 should be visited before node14\nnode 13 should be visited before node4\nnode 15 should be visited before node1\nnode 15 should be visited before node2\nnode 15 should be visited before node7\nnode 15 should be visited before node20\nnode 15 should be visited before node11\nnode 15 should be visited before node9\nnode 15 should be visited before node21\nnode 15 should be visited before node13\nnode 15 should be visited before node18\nnode 15 should be visited before node8\nnode 15 should be visited before node5\nnode 15 should be visited before node19\nnode 15 should be visited before node6\nnode 15 should be visited before node16\nnode 16 should be visited before node14\nnode 16 should be visited before node4\nnode 17 should be visited before node18\nnode 17 should be visited before node19\nnode 17 should be visited before node6\nnode 17 should be visited before node12\nnode 17 should be visited before node10\nnode 17 should be visited before node16\nnode 18 should be visited before node0\nnode 18 should be visited before node8\nnode 18 should be visited before node6\nnode 18 should be visited before node12\nnode 18 should be visited before node4\nnode 19 should be visited before node6\nnode 19 should be visited before node12\nnode 19 should be visited before node14\nnode 20 should be visited before node13\nnode 20 should be visited before node17\nnode 20 should be visited before node18\nnode 20 should be visited before node19\nnode 20 should be visited before node6\nnode 20 should be visited before node12\nnode 20 should be visited before node16\nnode 20 should be visited before node14\nnode 20 should be visited before node4\nnode 21 should be visited before node13\nnode 21 should be visited before node17\nnode 21 should be visited before node8\nnode 21 should be visited before node19\nnode 21 should be visited before node6\nnode 21 should be visited before node12\nnode 21 should be visited before node16\nnode 21 should be visited before node14\nnode 21 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,15,1,2,21,7,11,20,9,17,13,5,18,0,8,19,6,12,10,16,14,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph874",
        "image": "data/topology/graph_visual/medium/graph874.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node1\nnode 0 should be visited before node8\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node19\nnode 2 should be visited before node16\nnode 2 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node15\nnode 2 should be visited before node5\nnode 2 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node19\nnode 3 should be visited before node19\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node19\nnode 5 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node0\nnode 5 should be visited before node1\nnode 5 should be visited before node8\nnode 5 should be visited before node3\nnode 5 should be visited before node19\nnode 6 should be visited before node18\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node19\nnode 7 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node18\nnode 7 should be visited before node12\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 8 should be visited before node3\nnode 8 should be visited before node19\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 9 should be visited before node1\nnode 9 should be visited before node8\nnode 9 should be visited before node3\nnode 9 should be visited before node19\nnode 10 should be visited before node11\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node15\nnode 10 should be visited before node5\nnode 10 should be visited before node18\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node19\nnode 11 should be visited before node2\nnode 11 should be visited before node16\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 11 should be visited before node5\nnode 11 should be visited before node14\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node8\nnode 11 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node0\nnode 12 should be visited before node1\nnode 12 should be visited before node19\nnode 13 should be visited before node0\nnode 13 should be visited before node1\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 13 should be visited before node19\nnode 14 should be visited before node9\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 14 should be visited before node19\nnode 15 should be visited before node5\nnode 15 should be visited before node18\nnode 15 should be visited before node12\nnode 15 should be visited before node17\nnode 15 should be visited before node14\nnode 15 should be visited before node9\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 15 should be visited before node8\nnode 15 should be visited before node3\nnode 15 should be visited before node19\nnode 16 should be visited before node7\nnode 16 should be visited before node6\nnode 16 should be visited before node15\nnode 16 should be visited before node5\nnode 16 should be visited before node17\nnode 16 should be visited before node14\nnode 16 should be visited before node9\nnode 16 should be visited before node4\nnode 16 should be visited before node0\nnode 16 should be visited before node8\nnode 16 should be visited before node3\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 17 should be visited before node4\nnode 17 should be visited before node13\nnode 17 should be visited before node1\nnode 17 should be visited before node8\nnode 17 should be visited before node3\nnode 18 should be visited before node12\nnode 18 should be visited before node14\nnode 18 should be visited before node9\nnode 18 should be visited before node4\nnode 18 should be visited before node13\nnode 18 should be visited before node0\nnode 18 should be visited before node8\nnode 18 should be visited before node3\nnode 18 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,11,2,16,7,6,15,5,18,17,12,14,9,4,13,0,1,8,3,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph573",
        "image": "data/topology/graph_visual/medium/graph573.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node9\nnode 0 should be visited before node10\nnode 0 should be visited before node3\nnode 0 should be visited before node12\nnode 0 should be visited before node6\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 1 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node16\nnode 1 should be visited before node6\nnode 1 should be visited before node5\nnode 1 should be visited before node13\nnode 2 should be visited before node11\nnode 2 should be visited before node7\nnode 2 should be visited before node1\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node5\nnode 2 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node16\nnode 3 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node16\nnode 6 should be visited before node5\nnode 7 should be visited before node5\nnode 7 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 8 should be visited before node15\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node6\nnode 9 should be visited before node13\nnode 10 should be visited before node3\nnode 10 should be visited before node12\nnode 10 should be visited before node16\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node6\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 14 should be visited before node0\nnode 14 should be visited before node2\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node3\nnode 14 should be visited before node15\nnode 14 should be visited before node4\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 15 should be visited before node12\nnode 15 should be visited before node16\nnode 15 should be visited before node5\nnode 16 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,14,0,2,11,7,1,9,10,15,3,4,12,16,6,13,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph834",
        "image": "data/topology/graph_visual/medium/graph834.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node18\nnode 0 should be visited before node13\nnode 0 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node0\nnode 1 should be visited before node19\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 2 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node12\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 4 should be visited before node8\nnode 4 should be visited before node7\nnode 5 should be visited before node6\nnode 5 should be visited before node19\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node12\nnode 6 should be visited before node2\nnode 6 should be visited before node13\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node14\nnode 8 should be visited before node7\nnode 9 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node19\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 10 should be visited before node5\nnode 10 should be visited before node16\nnode 10 should be visited before node11\nnode 10 should be visited before node18\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 11 should be visited before node6\nnode 11 should be visited before node15\nnode 11 should be visited before node4\nnode 11 should be visited before node8\nnode 12 should be visited before node4\nnode 13 should be visited before node14\nnode 15 should be visited before node14\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node19\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 17 should be visited before node4\nnode 18 should be visited before node12\nnode 18 should be visited before node7\nnode 19 should be visited before node4\nnode 19 should be visited before node8\nnode 19 should be visited before node7\nnode 19 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,3,9,10,5,16,11,6,15,17,0,19,2,18,13,12,14,4,8,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph181",
        "image": "data/topology/graph_visual/medium/graph181.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node0\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 3 should be visited before node4\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 7 should be visited before node0\nnode 8 should be visited before node12\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 9 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node3\nnode 9 should be visited before node2\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node3\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 12 should be visited before node6\nnode 12 should be visited before node2\nnode 12 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,10,9,11,1,12,5,6,2,3,7,4,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph703",
        "image": "data/topology/graph_visual/medium/graph703.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node9\nnode 0 should be visited before node2\nnode 0 should be visited before node16\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node12\nnode 1 should be visited before node17\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node13\nnode 1 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node12\nnode 2 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node2\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 3 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node16\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node16\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 5 should be visited before node12\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 7 should be visited before node11\nnode 7 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 10 should be visited before node3\nnode 10 should be visited before node15\nnode 10 should be visited before node1\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node12\nnode 11 should be visited before node8\nnode 12 should be visited before node8\nnode 13 should be visited before node16\nnode 13 should be visited before node7\nnode 13 should be visited before node11\nnode 13 should be visited before node12\nnode 13 should be visited before node8\nnode 14 should be visited before node3\nnode 14 should be visited before node15\nnode 14 should be visited before node1\nnode 14 should be visited before node17\nnode 14 should be visited before node0\nnode 14 should be visited before node9\nnode 14 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node6\nnode 14 should be visited before node12\nnode 14 should be visited before node8\nnode 15 should be visited before node1\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node2\nnode 15 should be visited before node13\nnode 15 should be visited before node16\nnode 15 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node12\nnode 16 should be visited before node8\nnode 17 should be visited before node0\nnode 17 should be visited before node9\nnode 17 should be visited before node5\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 17 should be visited before node16\nnode 17 should be visited before node11\nnode 17 should be visited before node6\nnode 17 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,10,14,3,15,1,17,0,9,5,13,2,16,7,11,6,12,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph829",
        "image": "data/topology/graph_visual/medium/graph829.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node19\nnode 0 should be visited before node10\nnode 0 should be visited before node18\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 2 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node16\nnode 4 should be visited before node8\nnode 4 should be visited before node18\nnode 4 should be visited before node2\nnode 4 should be visited before node11\nnode 5 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node14\nnode 6 should be visited before node17\nnode 6 should be visited before node18\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node16\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 9 should be visited before node2\nnode 10 should be visited before node2\nnode 11 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node16\nnode 14 should be visited before node8\nnode 14 should be visited before node18\nnode 14 should be visited before node5\nnode 18 should be visited before node12\nnode 18 should be visited before node2\nnode 18 should be visited before node5\nnode 18 should be visited before node1\nnode 18 should be visited before node11\nnode 19 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,6,4,7,19,13,15,14,17,9,8,18,10,12,5,2,11,1,16."
            }
        ]
    },
    {
        "id": "topology-medium-graph774",
        "image": "data/topology/graph_visual/medium/graph774.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node14\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 0 should be visited before node8\nnode 0 should be visited before node17\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node3\nnode 1 should be visited before node2\nnode 1 should be visited before node18\nnode 1 should be visited before node15\nnode 1 should be visited before node7\nnode 2 should be visited before node18\nnode 2 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 2 should be visited before node12\nnode 2 should be visited before node13\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node17\nnode 3 should be visited before node7\nnode 3 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node10\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node15\nnode 5 should be visited before node8\nnode 5 should be visited before node16\nnode 5 should be visited before node13\nnode 5 should be visited before node10\nnode 6 should be visited before node2\nnode 6 should be visited before node15\nnode 6 should be visited before node17\nnode 6 should be visited before node7\nnode 6 should be visited before node16\nnode 7 should be visited before node16\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node7\nnode 8 should be visited before node16\nnode 8 should be visited before node12\nnode 8 should be visited before node13\nnode 8 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node7\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node13\nnode 9 should be visited before node10\nnode 11 should be visited before node1\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node7\nnode 11 should be visited before node10\nnode 12 should be visited before node13\nnode 12 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node2\nnode 14 should be visited before node18\nnode 14 should be visited before node17\nnode 14 should be visited before node16\nnode 14 should be visited before node13\nnode 15 should be visited before node7\nnode 15 should be visited before node12\nnode 15 should be visited before node13\nnode 16 should be visited before node13\nnode 17 should be visited before node16\nnode 17 should be visited before node13\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 18 should be visited before node7\nnode 18 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,9,11,6,1,0,14,4,3,2,18,15,8,17,7,16,12,13,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph767",
        "image": "data/topology/graph_visual/medium/graph767.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node13\nnode 0 should be visited before node15\nnode 1 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node15\nnode 3 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node17\nnode 4 should be visited before node9\nnode 4 should be visited before node13\nnode 4 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 7 should be visited before node12\nnode 7 should be visited before node16\nnode 7 should be visited before node17\nnode 7 should be visited before node9\nnode 7 should be visited before node11\nnode 8 should be visited before node18\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node2\nnode 8 should be visited before node7\nnode 8 should be visited before node14\nnode 8 should be visited before node17\nnode 8 should be visited before node3\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node11\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 9 should be visited before node11\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node17\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node15\nnode 12 should be visited before node16\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 12 should be visited before node15\nnode 13 should be visited before node15\nnode 13 should be visited before node11\nnode 14 should be visited before node16\nnode 14 should be visited before node17\nnode 14 should be visited before node3\nnode 14 should be visited before node0\nnode 15 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node11\nnode 17 should be visited before node3\nnode 17 should be visited before node9\nnode 17 should be visited before node13\nnode 18 should be visited before node6\nnode 18 should be visited before node10\nnode 18 should be visited before node4\nnode 18 should be visited before node2\nnode 18 should be visited before node5\nnode 18 should be visited before node17\nnode 18 should be visited before node3\nnode 18 should be visited before node9\nnode 18 should be visited before node0\nnode 18 should be visited before node15\nnode 18 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,18,6,10,4,2,14,7,12,17,16,3,5,0,9,1,13,15,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph914",
        "image": "data/topology/graph_visual/medium/graph914.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 1 should be visited before node17\nnode 1 should be visited before node15\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node0\nnode 1 should be visited before node20\nnode 1 should be visited before node11\nnode 2 should be visited before node7\nnode 2 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node11\nnode 3 should be visited before node19\nnode 4 should be visited before node7\nnode 4 should be visited before node20\nnode 4 should be visited before node11\nnode 6 should be visited before node17\nnode 6 should be visited before node4\nnode 6 should be visited before node15\nnode 6 should be visited before node19\nnode 6 should be visited before node20\nnode 6 should be visited before node9\nnode 7 should be visited before node3\nnode 7 should be visited before node18\nnode 7 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node7\nnode 8 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node11\nnode 9 should be visited before node11\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node19\nnode 10 should be visited before node9\nnode 10 should be visited before node11\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node19\nnode 12 should be visited before node16\nnode 12 should be visited before node18\nnode 12 should be visited before node11\nnode 13 should be visited before node20\nnode 13 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node20\nnode 15 should be visited before node2\nnode 15 should be visited before node14\nnode 15 should be visited before node5\nnode 15 should be visited before node18\nnode 15 should be visited before node9\nnode 15 should be visited before node11\nnode 16 should be visited before node0\nnode 16 should be visited before node5\nnode 17 should be visited before node15\nnode 17 should be visited before node3\nnode 17 should be visited before node16\nnode 19 should be visited before node20\nnode 19 should be visited before node18\nnode 19 should be visited before node9\nnode 19 should be visited before node11\nnode 20 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,10,6,8,17,4,12,15,16,2,14,0,7,13,5,3,19,20,18,9,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph111",
        "image": "data/topology/graph_visual/medium/graph111.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node9\nnode 3 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node10\nnode 7 should be visited before node2\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,4,11,7,9,3,2,6,5,10,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph710",
        "image": "data/topology/graph_visual/medium/graph710.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 0 should be visited before node2\nnode 1 should be visited before node10\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node9\nnode 1 should be visited before node11\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 2 should be visited before node12\nnode 3 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 3 should be visited before node12\nnode 4 should be visited before node13\nnode 4 should be visited before node16\nnode 4 should be visited before node9\nnode 4 should be visited before node11\nnode 4 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node17\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node4\nnode 5 should be visited before node13\nnode 5 should be visited before node16\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node5\nnode 6 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node9\nnode 6 should be visited before node12\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node17\nnode 7 should be visited before node15\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 7 should be visited before node13\nnode 7 should be visited before node2\nnode 7 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node15\nnode 8 should be visited before node0\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node16\nnode 8 should be visited before node9\nnode 8 should be visited before node11\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node3\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node11\nnode 10 should be visited before node2\nnode 11 should be visited before node2\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 14 should be visited before node17\nnode 14 should be visited before node15\nnode 14 should be visited before node3\nnode 14 should be visited before node4\nnode 14 should be visited before node16\nnode 14 should be visited before node9\nnode 14 should be visited before node11\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node16\nnode 15 should be visited before node11\nnode 15 should be visited before node2\nnode 16 should be visited before node11\nnode 16 should be visited before node2\nnode 16 should be visited before node12\nnode 17 should be visited before node15\nnode 17 should be visited before node4\nnode 17 should be visited before node16\nnode 17 should be visited before node9\nnode 17 should be visited before node11\nnode 17 should be visited before node2\nnode 17 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,14,7,5,8,1,17,10,15,3,0,4,13,16,9,11,2,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph515",
        "image": "data/topology/graph_visual/medium/graph515.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node9\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 2 should be visited before node9\nnode 2 should be visited before node13\nnode 3 should be visited before node12\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 4 should be visited before node13\nnode 4 should be visited before node1\nnode 5 should be visited before node8\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 6 should be visited before node11\nnode 6 should be visited before node0\nnode 6 should be visited before node9\nnode 6 should be visited before node13\nnode 6 should be visited before node1\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 9 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node8\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node0\nnode 10 should be visited before node1\nnode 11 should be visited before node0\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 12 should be visited before node1\nnode 14 should be visited before node15\nnode 14 should be visited before node10\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node8\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node1\nnode 15 should be visited before node4\nnode 15 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node5\nnode 15 should be visited before node8\nnode 15 should be visited before node7\nnode 15 should be visited before node6\nnode 15 should be visited before node11\nnode 15 should be visited before node9\nnode 15 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,15,4,3,10,2,12,5,8,7,6,11,13,0,9,1."
            }
        ]
    },
    {
        "id": "topology-medium-graph798",
        "image": "data/topology/graph_visual/medium/graph798.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node13\nnode 0 should be visited before node8\nnode 0 should be visited before node5\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 0 should be visited before node15\nnode 0 should be visited before node6\nnode 1 should be visited before node12\nnode 1 should be visited before node15\nnode 1 should be visited before node6\nnode 2 should be visited before node13\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 3 should be visited before node16\nnode 3 should be visited before node6\nnode 3 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node10\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node6\nnode 4 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node16\nnode 5 should be visited before node14\nnode 6 should be visited before node14\nnode 7 should be visited before node0\nnode 7 should be visited before node13\nnode 7 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node10\nnode 7 should be visited before node12\nnode 7 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node15\nnode 8 should be visited before node16\nnode 8 should be visited before node14\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 9 should be visited before node15\nnode 9 should be visited before node16\nnode 9 should be visited before node14\nnode 10 should be visited before node12\nnode 10 should be visited before node6\nnode 10 should be visited before node14\nnode 11 should be visited before node17\nnode 11 should be visited before node4\nnode 11 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 11 should be visited before node15\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 12 should be visited before node16\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node15\nnode 13 should be visited before node16\nnode 13 should be visited before node6\nnode 15 should be visited before node14\nnode 16 should be visited before node14\nnode 17 should be visited before node4\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 17 should be visited before node10\nnode 17 should be visited before node12\nnode 17 should be visited before node15\nnode 17 should be visited before node16\nnode 18 should be visited before node17\nnode 18 should be visited before node3\nnode 18 should be visited before node7\nnode 18 should be visited before node0\nnode 18 should be visited before node8\nnode 18 should be visited before node9\nnode 18 should be visited before node10\nnode 18 should be visited before node15\nnode 18 should be visited before node6\nnode 18 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,18,17,3,4,2,7,0,13,8,5,9,1,10,15,12,6,16,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph424",
        "image": "data/topology/graph_visual/medium/graph424.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node6\nnode 0 should be visited before node14\nnode 0 should be visited before node3\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node4\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node14\nnode 2 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 3 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node8\nnode 3 should be visited before node10\nnode 3 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node8\nnode 5 should be visited before node10\nnode 6 should be visited before node14\nnode 6 should be visited before node3\nnode 6 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node1\nnode 6 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 7 should be visited before node10\nnode 7 should be visited before node4\nnode 8 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 9 should be visited before node10\nnode 11 should be visited before node1\nnode 11 should be visited before node7\nnode 11 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node3\nnode 12 should be visited before node11\nnode 12 should be visited before node9\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node4\nnode 13 should be visited before node5\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 13 should be visited before node0\nnode 13 should be visited before node6\nnode 13 should be visited before node11\nnode 13 should be visited before node9\nnode 13 should be visited before node1\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node8\nnode 14 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,5,2,12,0,6,14,3,11,9,1,8,7,10,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph869",
        "image": "data/topology/graph_visual/medium/graph869.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 0 should be visited before node18\nnode 1 should be visited before node19\nnode 2 should be visited before node6\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 2 should be visited before node18\nnode 2 should be visited before node19\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node17\nnode 3 should be visited before node16\nnode 3 should be visited before node6\nnode 3 should be visited before node19\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node19\nnode 5 should be visited before node0\nnode 5 should be visited before node10\nnode 5 should be visited before node17\nnode 5 should be visited before node13\nnode 5 should be visited before node1\nnode 5 should be visited before node18\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node11\nnode 7 should be visited before node10\nnode 7 should be visited before node17\nnode 7 should be visited before node16\nnode 7 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 7 should be visited before node18\nnode 8 should be visited before node4\nnode 8 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node0\nnode 8 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node16\nnode 8 should be visited before node6\nnode 8 should be visited before node13\nnode 9 should be visited before node1\nnode 9 should be visited before node19\nnode 10 should be visited before node16\nnode 10 should be visited before node18\nnode 11 should be visited before node16\nnode 11 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node17\nnode 12 should be visited before node2\nnode 12 should be visited before node6\nnode 12 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node19\nnode 13 should be visited before node9\nnode 13 should be visited before node1\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 14 should be visited before node8\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node6\nnode 14 should be visited before node13\nnode 14 should be visited before node1\nnode 14 should be visited before node18\nnode 15 should be visited before node4\nnode 15 should be visited before node7\nnode 15 should be visited before node5\nnode 15 should be visited before node0\nnode 15 should be visited before node10\nnode 15 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node1\nnode 16 should be visited before node18\nnode 17 should be visited before node2\nnode 17 should be visited before node6\nnode 17 should be visited before node13\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 18 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,14,15,8,4,7,12,5,11,0,17,10,2,16,6,13,9,18,1,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph56",
        "image": "data/topology/graph_visual/medium/graph56.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 1 should be visited before node0\nnode 1 should be visited before node4\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 2 should be visited before node3\nnode 4 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node9\nnode 5 should be visited before node8\nnode 5 should be visited before node10\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 7 should be visited before node2\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 10 should be visited before node2\nnode 10 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,9,1,8,0,4,7,10,2,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph1105",
        "image": "data/topology/graph_visual/medium/graph1105.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node20\nnode 0 should be visited before node8\nnode 0 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node20\nnode 1 should be visited before node14\nnode 1 should be visited before node9\nnode 1 should be visited before node2\nnode 3 should be visited before node14\nnode 3 should be visited before node2\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node11\nnode 4 should be visited before node5\nnode 4 should be visited before node10\nnode 4 should be visited before node17\nnode 6 should be visited before node22\nnode 6 should be visited before node0\nnode 6 should be visited before node21\nnode 6 should be visited before node17\nnode 6 should be visited before node19\nnode 6 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node19\nnode 10 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 11 should be visited before node13\nnode 11 should be visited before node19\nnode 11 should be visited before node9\nnode 12 should be visited before node11\nnode 12 should be visited before node15\nnode 12 should be visited before node0\nnode 12 should be visited before node8\nnode 12 should be visited before node9\nnode 13 should be visited before node17\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 16 should be visited before node5\nnode 16 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 16 should be visited before node9\nnode 16 should be visited before node2\nnode 17 should be visited before node8\nnode 18 should be visited before node7\nnode 18 should be visited before node0\nnode 18 should be visited before node20\nnode 18 should be visited before node17\nnode 18 should be visited before node8\nnode 18 should be visited before node3\nnode 19 should be visited before node9\nnode 21 should be visited before node14\nnode 21 should be visited before node9\nnode 22 should be visited before node11\nnode 22 should be visited before node16\nnode 22 should be visited before node5\nnode 22 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,4,18,6,12,22,11,16,13,5,7,15,21,17,10,0,3,20,8,2,14,19,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph1264",
        "image": "data/topology/graph_visual/medium/graph1264.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node12\nnode 0 should be visited before node1\nnode 0 should be visited before node22\nnode 0 should be visited before node24\nnode 0 should be visited before node23\nnode 0 should be visited before node11\nnode 1 should be visited before node22\nnode 1 should be visited before node24\nnode 1 should be visited before node18\nnode 1 should be visited before node11\nnode 1 should be visited before node16\nnode 2 should be visited before node14\nnode 2 should be visited before node19\nnode 2 should be visited before node6\nnode 2 should be visited before node16\nnode 3 should be visited before node15\nnode 3 should be visited before node17\nnode 4 should be visited before node22\nnode 4 should be visited before node21\nnode 4 should be visited before node24\nnode 5 should be visited before node7\nnode 5 should be visited before node11\nnode 5 should be visited before node20\nnode 5 should be visited before node15\nnode 5 should be visited before node17\nnode 6 should be visited before node17\nnode 7 should be visited before node9\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 8 should be visited before node19\nnode 8 should be visited before node23\nnode 8 should be visited before node5\nnode 8 should be visited before node18\nnode 8 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node16\nnode 9 should be visited before node13\nnode 9 should be visited before node3\nnode 10 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node18\nnode 10 should be visited before node6\nnode 10 should be visited before node13\nnode 10 should be visited before node16\nnode 11 should be visited before node16\nnode 11 should be visited before node15\nnode 12 should be visited before node22\nnode 12 should be visited before node21\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node20\nnode 12 should be visited before node13\nnode 12 should be visited before node15\nnode 12 should be visited before node17\nnode 13 should be visited before node15\nnode 13 should be visited before node17\nnode 14 should be visited before node19\nnode 14 should be visited before node7\nnode 14 should be visited before node6\nnode 14 should be visited before node16\nnode 14 should be visited before node15\nnode 15 should be visited before node17\nnode 16 should be visited before node15\nnode 18 should be visited before node6\nnode 18 should be visited before node15\nnode 19 should be visited before node24\nnode 19 should be visited before node23\nnode 19 should be visited before node18\nnode 19 should be visited before node9\nnode 19 should be visited before node6\nnode 19 should be visited before node13\nnode 20 should be visited before node13\nnode 20 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node18\nnode 21 should be visited before node16\nnode 22 should be visited before node21\nnode 22 should be visited before node23\nnode 22 should be visited before node6\nnode 22 should be visited before node13\nnode 22 should be visited before node16\nnode 23 should be visited before node5\nnode 23 should be visited before node18\nnode 23 should be visited before node11\nnode 23 should be visited before node20\nnode 23 should be visited before node13\nnode 24 should be visited before node23\nnode 24 should be visited before node18\nnode 24 should be visited before node9\nnode 24 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,8,10,12,1,2,22,14,21,19,24,23,5,18,7,20,9,6,11,13,3,16,15,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph1165",
        "image": "data/topology/graph_visual/medium/graph1165.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 0 should be visited before node22\nnode 0 should be visited before node11\nnode 0 should be visited before node21\nnode 0 should be visited before node12\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node5\nnode 2 should be visited before node22\nnode 2 should be visited before node11\nnode 2 should be visited before node21\nnode 2 should be visited before node8\nnode 2 should be visited before node12\nnode 3 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node22\nnode 3 should be visited before node11\nnode 3 should be visited before node21\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node15\nnode 4 should be visited before node19\nnode 4 should be visited before node18\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node12\nnode 5 should be visited before node22\nnode 5 should be visited before node11\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node18\nnode 6 should be visited before node9\nnode 6 should be visited before node10\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node5\nnode 6 should be visited before node22\nnode 6 should be visited before node11\nnode 6 should be visited before node21\nnode 6 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node19\nnode 7 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node3\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 7 should be visited before node22\nnode 7 should be visited before node11\nnode 7 should be visited before node12\nnode 9 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node21\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node1\nnode 10 should be visited before node22\nnode 10 should be visited before node11\nnode 10 should be visited before node21\nnode 10 should be visited before node8\nnode 10 should be visited before node12\nnode 11 should be visited before node21\nnode 11 should be visited before node8\nnode 11 should be visited before node12\nnode 13 should be visited before node15\nnode 13 should be visited before node19\nnode 13 should be visited before node14\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node0\nnode 13 should be visited before node5\nnode 13 should be visited before node22\nnode 13 should be visited before node11\nnode 13 should be visited before node21\nnode 13 should be visited before node8\nnode 13 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node18\nnode 14 should be visited before node3\nnode 14 should be visited before node2\nnode 14 should be visited before node9\nnode 14 should be visited before node10\nnode 14 should be visited before node22\nnode 14 should be visited before node21\nnode 14 should be visited before node8\nnode 14 should be visited before node12\nnode 15 should be visited before node16\nnode 15 should be visited before node2\nnode 15 should be visited before node10\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node22\nnode 15 should be visited before node11\nnode 15 should be visited before node21\nnode 15 should be visited before node12\nnode 16 should be visited before node3\nnode 16 should be visited before node10\nnode 16 should be visited before node0\nnode 16 should be visited before node1\nnode 16 should be visited before node22\nnode 16 should be visited before node11\nnode 16 should be visited before node8\nnode 16 should be visited before node12\nnode 17 should be visited before node7\nnode 17 should be visited before node13\nnode 17 should be visited before node15\nnode 17 should be visited before node19\nnode 17 should be visited before node14\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node3\nnode 17 should be visited before node2\nnode 17 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node1\nnode 17 should be visited before node22\nnode 17 should be visited before node21\nnode 17 should be visited before node8\nnode 18 should be visited before node3\nnode 18 should be visited before node2\nnode 18 should be visited before node9\nnode 18 should be visited before node10\nnode 18 should be visited before node0\nnode 18 should be visited before node1\nnode 18 should be visited before node5\nnode 18 should be visited before node22\nnode 18 should be visited before node11\nnode 18 should be visited before node21\nnode 18 should be visited before node12\nnode 19 should be visited before node14\nnode 19 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node2\nnode 19 should be visited before node0\nnode 19 should be visited before node22\nnode 19 should be visited before node11\nnode 20 should be visited before node6\nnode 20 should be visited before node4\nnode 20 should be visited before node17\nnode 20 should be visited before node7\nnode 20 should be visited before node19\nnode 20 should be visited before node16\nnode 20 should be visited before node3\nnode 20 should be visited before node2\nnode 20 should be visited before node9\nnode 20 should be visited before node10\nnode 20 should be visited before node0\nnode 20 should be visited before node1\nnode 20 should be visited before node5\nnode 20 should be visited before node22\nnode 20 should be visited before node21\nnode 20 should be visited before node8\nnode 20 should be visited before node12\nnode 22 should be visited before node11\nnode 22 should be visited before node21\nnode 22 should be visited before node8\nnode 22 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "20,6,4,17,7,13,15,19,14,16,18,3,2,10,9,0,1,5,22,11,21,8,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph648",
        "image": "data/topology/graph_visual/medium/graph648.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 0 should be visited before node9\nnode 1 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node16\nnode 2 should be visited before node6\nnode 2 should be visited before node15\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node14\nnode 3 should be visited before node6\nnode 3 should be visited before node13\nnode 3 should be visited before node15\nnode 4 should be visited before node9\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node4\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node6\nnode 5 should be visited before node9\nnode 6 should be visited before node15\nnode 7 should be visited before node8\nnode 7 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node13\nnode 7 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node15\nnode 10 should be visited before node14\nnode 10 should be visited before node13\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 11 should be visited before node17\nnode 11 should be visited before node2\nnode 11 should be visited before node7\nnode 11 should be visited before node14\nnode 11 should be visited before node1\nnode 11 should be visited before node16\nnode 11 should be visited before node13\nnode 11 should be visited before node9\nnode 12 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node16\nnode 14 should be visited before node9\nnode 14 should be visited before node15\nnode 16 should be visited before node15\nnode 17 should be visited before node3\nnode 17 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,5,10,12,17,0,3,2,4,7,8,14,16,1,13,9,6,15."
            }
        ]
    },
    {
        "id": "topology-medium-graph1225",
        "image": "data/topology/graph_visual/medium/graph1225.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 0 should be visited before node22\nnode 0 should be visited before node21\nnode 0 should be visited before node9\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 2 should be visited before node22\nnode 2 should be visited before node9\nnode 2 should be visited before node5\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node17\nnode 3 should be visited before node22\nnode 3 should be visited before node18\nnode 3 should be visited before node21\nnode 3 should be visited before node5\nnode 3 should be visited before node20\nnode 3 should be visited before node16\nnode 3 should be visited before node1\nnode 4 should be visited before node19\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node17\nnode 4 should be visited before node22\nnode 4 should be visited before node18\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node22\nnode 6 should be visited before node9\nnode 6 should be visited before node14\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 7 should be visited before node22\nnode 7 should be visited before node21\nnode 7 should be visited before node23\nnode 7 should be visited before node12\nnode 7 should be visited before node16\nnode 7 should be visited before node8\nnode 9 should be visited before node23\nnode 9 should be visited before node5\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 10 should be visited before node3\nnode 10 should be visited before node19\nnode 10 should be visited before node0\nnode 10 should be visited before node17\nnode 10 should be visited before node18\nnode 10 should be visited before node21\nnode 10 should be visited before node9\nnode 10 should be visited before node23\nnode 10 should be visited before node12\nnode 10 should be visited before node20\nnode 10 should be visited before node16\nnode 10 should be visited before node8\nnode 11 should be visited before node0\nnode 11 should be visited before node13\nnode 11 should be visited before node7\nnode 11 should be visited before node22\nnode 11 should be visited before node18\nnode 11 should be visited before node14\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node1\nnode 12 should be visited before node8\nnode 13 should be visited before node22\nnode 13 should be visited before node9\nnode 13 should be visited before node14\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node16\nnode 13 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node12\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node17\nnode 15 should be visited before node22\nnode 15 should be visited before node18\nnode 15 should be visited before node20\nnode 15 should be visited before node16\nnode 15 should be visited before node8\nnode 16 should be visited before node8\nnode 17 should be visited before node22\nnode 17 should be visited before node18\nnode 17 should be visited before node21\nnode 17 should be visited before node9\nnode 17 should be visited before node23\nnode 17 should be visited before node5\nnode 17 should be visited before node20\nnode 18 should be visited before node21\nnode 18 should be visited before node9\nnode 18 should be visited before node5\nnode 18 should be visited before node16\nnode 18 should be visited before node1\nnode 19 should be visited before node2\nnode 19 should be visited before node6\nnode 19 should be visited before node7\nnode 19 should be visited before node22\nnode 19 should be visited before node21\nnode 19 should be visited before node23\nnode 19 should be visited before node12\nnode 19 should be visited before node16\nnode 19 should be visited before node8\nnode 19 should be visited before node1\nnode 20 should be visited before node8\nnode 20 should be visited before node1\nnode 21 should be visited before node9\nnode 21 should be visited before node23\nnode 21 should be visited before node5\nnode 21 should be visited before node12\nnode 22 should be visited before node9\nnode 22 should be visited before node14\nnode 22 should be visited before node23\nnode 22 should be visited before node12\nnode 22 should be visited before node20\nnode 22 should be visited before node16\nnode 22 should be visited before node8\nnode 22 should be visited before node1\nnode 23 should be visited before node20\nnode 23 should be visited before node16\nnode 23 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,11,15,10,3,19,2,6,0,7,13,17,22,18,14,21,9,23,5,20,16,12,1,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph659",
        "image": "data/topology/graph_visual/medium/graph659.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 1 should be visited before node15\nnode 1 should be visited before node3\nnode 1 should be visited before node11\nnode 1 should be visited before node4\nnode 1 should be visited before node0\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 2 should be visited before node14\nnode 2 should be visited before node15\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node9\nnode 3 should be visited before node0\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 6 should be visited before node10\nnode 6 should be visited before node11\nnode 6 should be visited before node16\nnode 6 should be visited before node4\nnode 6 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node4\nnode 7 should be visited before node0\nnode 7 should be visited before node12\nnode 8 should be visited before node11\nnode 8 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node3\nnode 10 should be visited before node12\nnode 11 should be visited before node17\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 13 should be visited before node15\nnode 13 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 14 should be visited before node3\nnode 15 should be visited before node8\nnode 15 should be visited before node3\nnode 15 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,7,13,2,16,14,10,1,12,15,4,9,8,3,5,11,0,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph173",
        "image": "data/topology/graph_visual/medium/graph173.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 1 should be visited before node10\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node0\nnode 1 should be visited before node6\nnode 1 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node6\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node10\nnode 5 should be visited before node8\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node11\nnode 6 should be visited before node11\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node0\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node11\nnode 9 should be visited before node10\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,5,9,10,2,7,8,4,3,0,6,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph525",
        "image": "data/topology/graph_visual/medium/graph525.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node10\nnode 0 should be visited before node6\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 3 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node15\nnode 5 should be visited before node14\nnode 5 should be visited before node0\nnode 5 should be visited before node8\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node4\nnode 7 should be visited before node14\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 9 should be visited before node13\nnode 9 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node0\nnode 9 should be visited before node8\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node1\nnode 11 should be visited before node9\nnode 11 should be visited before node13\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node2\nnode 11 should be visited before node12\nnode 11 should be visited before node0\nnode 11 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node1\nnode 12 should be visited before node0\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 12 should be visited before node6\nnode 13 should be visited before node15\nnode 13 should be visited before node4\nnode 13 should be visited before node14\nnode 13 should be visited before node12\nnode 13 should be visited before node3\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 14 should be visited before node10\nnode 15 should be visited before node4\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 15 should be visited before node0\nnode 15 should be visited before node8\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,7,11,9,13,15,4,14,2,12,0,8,10,3,1,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph435",
        "image": "data/topology/graph_visual/medium/graph435.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node13\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node5\nnode 1 should be visited before node13\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 2 should be visited before node4\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node12\nnode 3 should be visited before node8\nnode 4 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node12\nnode 5 should be visited before node12\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 7 should be visited before node10\nnode 7 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 10 should be visited before node12\nnode 11 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node9\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node7\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node4\nnode 14 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node5\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 14 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,14,0,9,1,2,13,4,3,6,8,5,7,10,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph924",
        "image": "data/topology/graph_visual/medium/graph924.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node18\nnode 0 should be visited before node20\nnode 0 should be visited before node15\nnode 0 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node18\nnode 1 should be visited before node20\nnode 2 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node20\nnode 4 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node18\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node20\nnode 6 should be visited before node15\nnode 6 should be visited before node17\nnode 7 should be visited before node11\nnode 7 should be visited before node13\nnode 7 should be visited before node19\nnode 7 should be visited before node17\nnode 8 should be visited before node12\nnode 8 should be visited before node18\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 10 should be visited before node18\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node19\nnode 11 should be visited before node20\nnode 11 should be visited before node17\nnode 12 should be visited before node0\nnode 13 should be visited before node14\nnode 13 should be visited before node10\nnode 13 should be visited before node16\nnode 13 should be visited before node15\nnode 15 should be visited before node3\nnode 16 should be visited before node15\nnode 16 should be visited before node17\nnode 18 should be visited before node17\nnode 20 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,7,8,9,11,2,12,13,4,1,19,0,14,16,10,20,15,18,3,17."
            }
        ]
    },
    {
        "id": "topology-medium-graph524",
        "image": "data/topology/graph_visual/medium/graph524.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node15\nnode 0 should be visited before node2\nnode 0 should be visited before node8\nnode 0 should be visited before node14\nnode 0 should be visited before node11\nnode 0 should be visited before node12\nnode 1 should be visited before node12\nnode 2 should be visited before node8\nnode 2 should be visited before node14\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 3 should be visited before node5\nnode 3 should be visited before node13\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node15\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 4 should be visited before node14\nnode 4 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node14\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node14\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node12\nnode 7 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node14\nnode 7 should be visited before node11\nnode 7 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node2\nnode 9 should be visited before node14\nnode 9 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node7\nnode 10 should be visited before node3\nnode 10 should be visited before node5\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node8\nnode 10 should be visited before node14\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 11 should be visited before node12\nnode 13 should be visited before node0\nnode 13 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node1\nnode 14 should be visited before node1\nnode 14 should be visited before node12\nnode 15 should be visited before node2\nnode 15 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,4,9,7,3,5,13,0,6,15,2,8,14,11,1,12."
            }
        ]
    },
    {
        "id": "topology-medium-graph368",
        "image": "data/topology/graph_visual/medium/graph368.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node2\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 8 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node0\nnode 8 should be visited before node2\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,10,11,13,14,12,5,7,3,6,1,0,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph308",
        "image": "data/topology/graph_visual/medium/graph308.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node11\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node6\nnode 5 should be visited before node11\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 9 should be visited before node12\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 13 should be visited before node12\nnode 13 should be visited before node8\nnode 13 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,13,3,5,10,9,12,7,8,6,0,4,11."
            }
        ]
    },
    {
        "id": "topology-medium-graph64",
        "image": "data/topology/graph_visual/medium/graph64.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 2 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node8\nnode 4 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node8\nnode 6 should be visited before node2\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 7 should be visited before node10\nnode 7 should be visited before node1\nnode 7 should be visited before node5\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node0\nnode 7 should be visited before node8\nnode 9 should be visited before node4\nnode 9 should be visited before node8\nnode 10 should be visited before node1\nnode 10 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,10,5,1,3,6,2,9,4,0,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph950",
        "image": "data/topology/graph_visual/medium/graph950.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node7\nnode 0 should be visited before node5\nnode 0 should be visited before node17\nnode 0 should be visited before node3\nnode 0 should be visited before node15\nnode 0 should be visited before node18\nnode 0 should be visited before node1\nnode 0 should be visited before node11\nnode 0 should be visited before node8\nnode 0 should be visited before node16\nnode 0 should be visited before node2\nnode 0 should be visited before node12\nnode 0 should be visited before node6\nnode 1 should be visited before node11\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 1 should be visited before node16\nnode 2 should be visited before node6\nnode 3 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node16\nnode 4 should be visited before node12\nnode 4 should be visited before node6\nnode 4 should be visited before node10\nnode 5 should be visited before node14\nnode 5 should be visited before node17\nnode 5 should be visited before node3\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node12\nnode 5 should be visited before node10\nnode 6 should be visited before node10\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node17\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 7 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node10\nnode 9 should be visited before node5\nnode 9 should be visited before node18\nnode 9 should be visited before node1\nnode 9 should be visited before node20\nnode 9 should be visited before node4\nnode 9 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node10\nnode 13 should be visited before node19\nnode 13 should be visited before node17\nnode 13 should be visited before node15\nnode 13 should be visited before node11\nnode 13 should be visited before node4\nnode 13 should be visited before node8\nnode 13 should be visited before node10\nnode 14 should be visited before node1\nnode 14 should be visited before node11\nnode 14 should be visited before node4\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 15 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node8\nnode 15 should be visited before node16\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 15 should be visited before node6\nnode 16 should be visited before node6\nnode 16 should be visited before node10\nnode 17 should be visited before node3\nnode 17 should be visited before node18\nnode 17 should be visited before node1\nnode 17 should be visited before node11\nnode 17 should be visited before node16\nnode 17 should be visited before node6\nnode 18 should be visited before node1\nnode 18 should be visited before node8\nnode 18 should be visited before node2\nnode 18 should be visited before node12\nnode 18 should be visited before node6\nnode 18 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node14\nnode 19 should be visited before node17\nnode 19 should be visited before node3\nnode 19 should be visited before node20\nnode 19 should be visited before node4\nnode 19 should be visited before node8\nnode 19 should be visited before node16\nnode 19 should be visited before node2\nnode 19 should be visited before node12\nnode 19 should be visited before node6\nnode 19 should be visited before node10\nnode 20 should be visited before node4\nnode 20 should be visited before node16\nnode 20 should be visited before node2\nnode 20 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,9,7,13,19,15,5,20,14,17,3,18,1,11,4,8,16,2,12,6,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph501",
        "image": "data/topology/graph_visual/medium/graph501.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node2\nnode 1 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node9\nnode 3 should be visited before node1\nnode 3 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node13\nnode 4 should be visited before node9\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 4 should be visited before node8\nnode 4 should be visited before node0\nnode 4 should be visited before node2\nnode 5 should be visited before node6\nnode 6 should be visited before node14\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node1\nnode 7 should be visited before node14\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 8 should be visited before node2\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 10 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node9\nnode 11 should be visited before node5\nnode 11 should be visited before node6\nnode 11 should be visited before node1\nnode 11 should be visited before node14\nnode 11 should be visited before node8\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node6\nnode 12 should be visited before node14\nnode 12 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node2\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node14\nnode 14 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node2\nnode 15 should be visited before node6\nnode 15 should be visited before node1\nnode 15 should be visited before node14\nnode 15 should be visited before node8\nnode 15 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,4,10,3,7,12,9,13,15,5,1,6,14,8,0,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph365",
        "image": "data/topology/graph_visual/medium/graph365.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 1 should be visited before node5\nnode 2 should be visited before node11\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node5\nnode 4 should be visited before node8\nnode 5 should be visited before node13\nnode 6 should be visited before node10\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 8 should be visited before node11\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 10 should be visited before node13\nnode 10 should be visited before node7\nnode 12 should be visited before node3\nnode 12 should be visited before node0\nnode 12 should be visited before node8\nnode 14 should be visited before node2\nnode 14 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,4,9,12,14,6,3,0,8,2,10,5,11,7,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph747",
        "image": "data/topology/graph_visual/medium/graph747.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 19 nodes numbered from 0 to 18:\nnode 0 should be visited before node12\nnode 0 should be visited before node4\nnode 1 should be visited before node8\nnode 1 should be visited before node14\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 3 should be visited before node14\nnode 4 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node9\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 7 should be visited before node3\nnode 7 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 8 should be visited before node14\nnode 9 should be visited before node7\nnode 9 should be visited before node14\nnode 10 should be visited before node13\nnode 10 should be visited before node6\nnode 10 should be visited before node2\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 10 should be visited before node12\nnode 10 should be visited before node14\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 13 should be visited before node11\nnode 13 should be visited before node6\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 13 should be visited before node17\nnode 13 should be visited before node12\nnode 13 should be visited before node9\nnode 15 should be visited before node6\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node14\nnode 16 should be visited before node11\nnode 16 should be visited before node2\nnode 16 should be visited before node1\nnode 16 should be visited before node0\nnode 16 should be visited before node4\nnode 17 should be visited before node5\nnode 17 should be visited before node14\nnode 18 should be visited before node15\nnode 18 should be visited before node0\nnode 18 should be visited before node12\nnode 18 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,16,18,13,15,11,2,1,17,6,5,8,9,0,7,12,4,3,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph1273",
        "image": "data/topology/graph_visual/medium/graph1273.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 1 should be visited before node17\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node22\nnode 1 should be visited before node23\nnode 1 should be visited before node16\nnode 2 should be visited before node7\nnode 2 should be visited before node21\nnode 2 should be visited before node0\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 3 should be visited before node16\nnode 4 should be visited before node24\nnode 4 should be visited before node20\nnode 5 should be visited before node20\nnode 5 should be visited before node8\nnode 6 should be visited before node17\nnode 6 should be visited before node7\nnode 6 should be visited before node22\nnode 6 should be visited before node21\nnode 6 should be visited before node5\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 9 should be visited before node21\nnode 9 should be visited before node4\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node8\nnode 10 should be visited before node17\nnode 10 should be visited before node22\nnode 10 should be visited before node21\nnode 10 should be visited before node5\nnode 10 should be visited before node20\nnode 11 should be visited before node1\nnode 11 should be visited before node19\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node17\nnode 11 should be visited before node2\nnode 11 should be visited before node22\nnode 11 should be visited before node5\nnode 11 should be visited before node4\nnode 11 should be visited before node14\nnode 11 should be visited before node24\nnode 11 should be visited before node0\nnode 12 should be visited before node21\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 13 should be visited before node7\nnode 13 should be visited before node21\nnode 13 should be visited before node20\nnode 13 should be visited before node16\nnode 13 should be visited before node8\nnode 14 should be visited before node24\nnode 14 should be visited before node8\nnode 15 should be visited before node12\nnode 15 should be visited before node17\nnode 15 should be visited before node2\nnode 15 should be visited before node22\nnode 15 should be visited before node23\nnode 15 should be visited before node3\nnode 15 should be visited before node20\nnode 17 should be visited before node23\nnode 17 should be visited before node16\nnode 17 should be visited before node8\nnode 18 should be visited before node11\nnode 18 should be visited before node1\nnode 18 should be visited before node19\nnode 19 should be visited before node22\nnode 19 should be visited before node5\nnode 19 should be visited before node4\nnode 19 should be visited before node16\nnode 20 should be visited before node16\nnode 20 should be visited before node8\nnode 21 should be visited before node14\nnode 21 should be visited before node8\nnode 22 should be visited before node0\nnode 23 should be visited before node14\nnode 23 should be visited before node3\nnode 23 should be visited before node20\nnode 23 should be visited before node8\nnode 24 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,9,10,15,18,11,1,19,12,13,17,2,22,5,4,23,7,21,0,3,14,24,20,16,8."
            }
        ]
    },
    {
        "id": "topology-medium-graph489",
        "image": "data/topology/graph_visual/medium/graph489.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 16 nodes numbered from 0 to 15:\nnode 0 should be visited before node6\nnode 2 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 4 should be visited before node10\nnode 4 should be visited before node11\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node15\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 8 should be visited before node12\nnode 8 should be visited before node9\nnode 8 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node1\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 10 should be visited before node6\nnode 11 should be visited before node6\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 12 should be visited before node3\nnode 12 should be visited before node10\nnode 12 should be visited before node0\nnode 12 should be visited before node6\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 13 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node3\nnode 14 should be visited before node2\nnode 14 should be visited before node13\nnode 14 should be visited before node0\nnode 14 should be visited before node11\nnode 15 should be visited before node13\nnode 15 should be visited before node0\nnode 15 should be visited before node11\nnode 15 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,14,8,12,9,4,15,5,13,3,1,10,11,2,0,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph966",
        "image": "data/topology/graph_visual/medium/graph966.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 1 should be visited before node10\nnode 1 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node12\nnode 1 should be visited before node0\nnode 1 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node15\nnode 2 should be visited before node16\nnode 2 should be visited before node10\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node7\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node15\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node11\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node17\nnode 4 should be visited before node16\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 4 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node13\nnode 5 should be visited before node20\nnode 5 should be visited before node15\nnode 5 should be visited before node1\nnode 5 should be visited before node17\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 5 should be visited before node12\nnode 5 should be visited before node0\nnode 6 should be visited before node13\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node6\nnode 8 should be visited before node18\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node20\nnode 8 should be visited before node15\nnode 8 should be visited before node1\nnode 8 should be visited before node17\nnode 8 should be visited before node10\nnode 8 should be visited before node11\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node13\nnode 11 should be visited before node9\nnode 11 should be visited before node14\nnode 11 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node6\nnode 12 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 15 should be visited before node17\nnode 15 should be visited before node16\nnode 15 should be visited before node11\nnode 15 should be visited before node9\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 15 should be visited before node12\nnode 15 should be visited before node0\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 16 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node10\nnode 17 should be visited before node9\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node6\nnode 18 should be visited before node3\nnode 18 should be visited before node4\nnode 18 should be visited before node2\nnode 18 should be visited before node20\nnode 18 should be visited before node15\nnode 18 should be visited before node1\nnode 18 should be visited before node17\nnode 18 should be visited before node16\nnode 18 should be visited before node10\nnode 18 should be visited before node7\nnode 18 should be visited before node12\nnode 18 should be visited before node0\nnode 18 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node4\nnode 19 should be visited before node20\nnode 19 should be visited before node1\nnode 19 should be visited before node17\nnode 19 should be visited before node10\nnode 19 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node0\nnode 19 should be visited before node6\nnode 20 should be visited before node15\nnode 20 should be visited before node1\nnode 20 should be visited before node17\nnode 20 should be visited before node10\nnode 20 should be visited before node11\nnode 20 should be visited before node6\nnode 20 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,19,18,3,4,5,2,20,15,1,17,16,10,11,9,14,7,12,0,6,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph19",
        "image": "data/topology/graph_visual/medium/graph19.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 1 should be visited before node8\nnode 1 should be visited before node2\nnode 1 should be visited before node6\nnode 2 should be visited before node6\nnode 2 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node10\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 6 should be visited before node10\nnode 7 should be visited before node6\nnode 7 should be visited before node10\nnode 8 should be visited before node7\nnode 8 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,3,4,5,8,2,7,9,6,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph1249",
        "image": "data/topology/graph_visual/medium/graph1249.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node11\nnode 0 should be visited before node12\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 0 should be visited before node17\nnode 0 should be visited before node16\nnode 0 should be visited before node18\nnode 0 should be visited before node9\nnode 0 should be visited before node8\nnode 1 should be visited before node17\nnode 1 should be visited before node18\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 2 should be visited before node12\nnode 2 should be visited before node15\nnode 2 should be visited before node21\nnode 2 should be visited before node13\nnode 2 should be visited before node17\nnode 2 should be visited before node18\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node23\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node12\nnode 3 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node21\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node16\nnode 3 should be visited before node18\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node21\nnode 4 should be visited before node17\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node23\nnode 4 should be visited before node6\nnode 4 should be visited before node5\nnode 7 should be visited before node8\nnode 7 should be visited before node23\nnode 7 should be visited before node5\nnode 8 should be visited before node23\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node3\nnode 10 should be visited before node4\nnode 10 should be visited before node11\nnode 10 should be visited before node15\nnode 10 should be visited before node13\nnode 10 should be visited before node1\nnode 10 should be visited before node17\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node5\nnode 11 should be visited before node14\nnode 11 should be visited before node22\nnode 11 should be visited before node21\nnode 11 should be visited before node13\nnode 11 should be visited before node17\nnode 11 should be visited before node9\nnode 11 should be visited before node8\nnode 11 should be visited before node23\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node13\nnode 12 should be visited before node1\nnode 12 should be visited before node16\nnode 12 should be visited before node18\nnode 12 should be visited before node7\nnode 12 should be visited before node23\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 13 should be visited before node1\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node23\nnode 13 should be visited before node6\nnode 14 should be visited before node22\nnode 14 should be visited before node15\nnode 14 should be visited before node21\nnode 14 should be visited before node13\nnode 14 should be visited before node16\nnode 14 should be visited before node18\nnode 14 should be visited before node8\nnode 14 should be visited before node23\nnode 14 should be visited before node6\nnode 15 should be visited before node21\nnode 15 should be visited before node13\nnode 15 should be visited before node1\nnode 15 should be visited before node17\nnode 15 should be visited before node18\nnode 15 should be visited before node9\nnode 15 should be visited before node7\nnode 15 should be visited before node5\nnode 16 should be visited before node9\nnode 16 should be visited before node8\nnode 16 should be visited before node23\nnode 16 should be visited before node6\nnode 17 should be visited before node16\nnode 17 should be visited before node9\nnode 17 should be visited before node7\nnode 17 should be visited before node8\nnode 17 should be visited before node23\nnode 17 should be visited before node6\nnode 17 should be visited before node5\nnode 18 should be visited before node9\nnode 18 should be visited before node8\nnode 18 should be visited before node23\nnode 18 should be visited before node6\nnode 18 should be visited before node5\nnode 19 should be visited before node20\nnode 19 should be visited before node10\nnode 19 should be visited before node3\nnode 19 should be visited before node4\nnode 19 should be visited before node11\nnode 19 should be visited before node12\nnode 19 should be visited before node14\nnode 19 should be visited before node22\nnode 19 should be visited before node15\nnode 19 should be visited before node21\nnode 19 should be visited before node13\nnode 19 should be visited before node17\nnode 19 should be visited before node16\nnode 19 should be visited before node18\nnode 19 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node8\nnode 19 should be visited before node23\nnode 19 should be visited before node5\nnode 20 should be visited before node10\nnode 20 should be visited before node0\nnode 20 should be visited before node3\nnode 20 should be visited before node12\nnode 20 should be visited before node14\nnode 20 should be visited before node15\nnode 20 should be visited before node13\nnode 20 should be visited before node1\nnode 20 should be visited before node8\nnode 20 should be visited before node23\nnode 20 should be visited before node5\nnode 21 should be visited before node13\nnode 21 should be visited before node17\nnode 21 should be visited before node16\nnode 21 should be visited before node18\nnode 21 should be visited before node9\nnode 21 should be visited before node7\nnode 21 should be visited before node6\nnode 21 should be visited before node5\nnode 22 should be visited before node21\nnode 22 should be visited before node1\nnode 22 should be visited before node16\nnode 22 should be visited before node18\nnode 22 should be visited before node7\nnode 22 should be visited before node8\nnode 23 should be visited before node6\nnode 23 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,19,20,10,0,3,4,11,12,14,22,15,21,13,1,17,18,16,9,7,8,23,6,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph1160",
        "image": "data/topology/graph_visual/medium/graph1160.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node21\nnode 1 should be visited before node13\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node12\nnode 1 should be visited before node11\nnode 1 should be visited before node22\nnode 1 should be visited before node18\nnode 1 should be visited before node8\nnode 1 should be visited before node20\nnode 1 should be visited before node19\nnode 1 should be visited before node0\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 2 should be visited before node21\nnode 2 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node10\nnode 3 should be visited before node22\nnode 3 should be visited before node18\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node9\nnode 3 should be visited before node16\nnode 3 should be visited before node19\nnode 3 should be visited before node5\nnode 3 should be visited before node14\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node21\nnode 6 should be visited before node3\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 6 should be visited before node22\nnode 6 should be visited before node18\nnode 6 should be visited before node8\nnode 6 should be visited before node16\nnode 6 should be visited before node20\nnode 6 should be visited before node19\nnode 6 should be visited before node5\nnode 6 should be visited before node14\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node2\nnode 6 should be visited before node21\nnode 6 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node21\nnode 7 should be visited before node4\nnode 8 should be visited before node16\nnode 8 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node5\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 9 should be visited before node20\nnode 9 should be visited before node19\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node21\nnode 9 should be visited before node4\nnode 10 should be visited before node18\nnode 10 should be visited before node9\nnode 10 should be visited before node20\nnode 10 should be visited before node19\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node7\nnode 10 should be visited before node2\nnode 10 should be visited before node21\nnode 10 should be visited before node4\nnode 11 should be visited before node22\nnode 11 should be visited before node18\nnode 11 should be visited before node15\nnode 11 should be visited before node9\nnode 11 should be visited before node16\nnode 11 should be visited before node20\nnode 11 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node21\nnode 12 should be visited before node11\nnode 12 should be visited before node10\nnode 12 should be visited before node22\nnode 12 should be visited before node18\nnode 12 should be visited before node15\nnode 12 should be visited before node9\nnode 12 should be visited before node20\nnode 12 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node21\nnode 12 should be visited before node4\nnode 13 should be visited before node6\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 13 should be visited before node15\nnode 13 should be visited before node16\nnode 13 should be visited before node20\nnode 13 should be visited before node19\nnode 13 should be visited before node5\nnode 13 should be visited before node14\nnode 13 should be visited before node0\nnode 13 should be visited before node7\nnode 13 should be visited before node2\nnode 13 should be visited before node21\nnode 13 should be visited before node4\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node21\nnode 15 should be visited before node8\nnode 15 should be visited before node9\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 15 should be visited before node5\nnode 15 should be visited before node7\nnode 15 should be visited before node21\nnode 15 should be visited before node4\nnode 16 should be visited before node20\nnode 16 should be visited before node19\nnode 16 should be visited before node14\nnode 16 should be visited before node0\nnode 16 should be visited before node7\nnode 16 should be visited before node21\nnode 16 should be visited before node4\nnode 17 should be visited before node1\nnode 17 should be visited before node13\nnode 17 should be visited before node6\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node18\nnode 17 should be visited before node15\nnode 17 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node20\nnode 17 should be visited before node19\nnode 17 should be visited before node0\nnode 17 should be visited before node7\nnode 17 should be visited before node2\nnode 17 should be visited before node4\nnode 18 should be visited before node8\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node20\nnode 18 should be visited before node19\nnode 18 should be visited before node5\nnode 18 should be visited before node14\nnode 18 should be visited before node0\nnode 18 should be visited before node7\nnode 18 should be visited before node21\nnode 18 should be visited before node4\nnode 19 should be visited before node5\nnode 19 should be visited before node14\nnode 19 should be visited before node0\nnode 19 should be visited before node7\nnode 19 should be visited before node2\nnode 19 should be visited before node4\nnode 20 should be visited before node19\nnode 20 should be visited before node7\nnode 20 should be visited before node2\nnode 20 should be visited before node21\nnode 20 should be visited before node4\nnode 21 should be visited before node4\nnode 22 should be visited before node18\nnode 22 should be visited before node15\nnode 22 should be visited before node8\nnode 22 should be visited before node9\nnode 22 should be visited before node20\nnode 22 should be visited before node19\nnode 22 should be visited before node5\nnode 22 should be visited before node0\nnode 22 should be visited before node7\nnode 22 should be visited before node2\nnode 22 should be visited before node21\nnode 22 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,1,13,12,6,3,11,10,22,18,15,8,9,16,20,19,5,14,0,7,2,21,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph812",
        "image": "data/topology/graph_visual/medium/graph812.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node17\nnode 1 should be visited before node14\nnode 1 should be visited before node15\nnode 2 should be visited before node16\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node17\nnode 3 should be visited before node11\nnode 3 should be visited before node6\nnode 4 should be visited before node8\nnode 4 should be visited before node7\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 7 should be visited before node17\nnode 7 should be visited before node9\nnode 8 should be visited before node11\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node14\nnode 10 should be visited before node4\nnode 11 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node8\nnode 12 should be visited before node17\nnode 13 should be visited before node18\nnode 13 should be visited before node15\nnode 13 should be visited before node17\nnode 14 should be visited before node18\nnode 14 should be visited before node11\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node15\nnode 14 should be visited before node17\nnode 16 should be visited before node13\nnode 16 should be visited before node3\nnode 16 should be visited before node19\nnode 16 should be visited before node0\nnode 16 should be visited before node15\nnode 18 should be visited before node0\nnode 18 should be visited before node6\nnode 18 should be visited before node17\nnode 19 should be visited before node11\nnode 19 should be visited before node6\nnode 19 should be visited before node17\nnode 19 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,10,12,1,4,16,14,8,13,3,19,18,15,11,0,6,7,17,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph1209",
        "image": "data/topology/graph_visual/medium/graph1209.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node7\nnode 0 should be visited before node18\nnode 0 should be visited before node19\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 1 should be visited before node18\nnode 1 should be visited before node19\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 2 should be visited before node20\nnode 2 should be visited before node17\nnode 2 should be visited before node22\nnode 2 should be visited before node0\nnode 2 should be visited before node21\nnode 2 should be visited before node18\nnode 2 should be visited before node19\nnode 2 should be visited before node5\nnode 4 should be visited before node13\nnode 4 should be visited before node10\nnode 5 should be visited before node4\nnode 6 should be visited before node19\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 7 should be visited before node1\nnode 7 should be visited before node18\nnode 7 should be visited before node14\nnode 7 should be visited before node19\nnode 7 should be visited before node4\nnode 7 should be visited before node13\nnode 7 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node11\nnode 8 should be visited before node16\nnode 8 should be visited before node21\nnode 8 should be visited before node14\nnode 8 should be visited before node19\nnode 8 should be visited before node5\nnode 8 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node22\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 10 should be visited before node3\nnode 11 should be visited before node0\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 12 should be visited before node2\nnode 12 should be visited before node9\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node18\nnode 12 should be visited before node13\nnode 12 should be visited before node10\nnode 13 should be visited before node10\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node13\nnode 15 should be visited before node2\nnode 15 should be visited before node23\nnode 15 should be visited before node11\nnode 15 should be visited before node7\nnode 15 should be visited before node1\nnode 15 should be visited before node21\nnode 15 should be visited before node18\nnode 15 should be visited before node5\nnode 15 should be visited before node4\nnode 15 should be visited before node10\nnode 16 should be visited before node7\nnode 16 should be visited before node18\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node13\nnode 16 should be visited before node10\nnode 17 should be visited before node22\nnode 17 should be visited before node0\nnode 17 should be visited before node7\nnode 17 should be visited before node1\nnode 17 should be visited before node21\nnode 17 should be visited before node18\nnode 17 should be visited before node6\nnode 17 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node4\nnode 18 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 20 should be visited before node8\nnode 20 should be visited before node23\nnode 20 should be visited before node17\nnode 20 should be visited before node11\nnode 20 should be visited before node22\nnode 20 should be visited before node1\nnode 20 should be visited before node21\nnode 20 should be visited before node14\nnode 20 should be visited before node19\nnode 20 should be visited before node5\nnode 20 should be visited before node4\nnode 20 should be visited before node13\nnode 20 should be visited before node10\nnode 20 should be visited before node3\nnode 21 should be visited before node18\nnode 21 should be visited before node10\nnode 22 should be visited before node0\nnode 22 should be visited before node7\nnode 22 should be visited before node18\nnode 22 should be visited before node6\nnode 22 should be visited before node14\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node10\nnode 23 should be visited before node17\nnode 23 should be visited before node11\nnode 23 should be visited before node16\nnode 23 should be visited before node1\nnode 23 should be visited before node18\nnode 23 should be visited before node19\nnode 23 should be visited before node5\nnode 23 should be visited before node4\nnode 23 should be visited before node13\nnode 23 should be visited before node10\nnode 23 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,15,9,2,20,8,23,17,11,16,22,21,0,7,1,14,18,6,19,5,4,13,10,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph902",
        "image": "data/topology/graph_visual/medium/graph902.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 0 should be visited before node19\nnode 0 should be visited before node18\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node14\nnode 1 should be visited before node7\nnode 2 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node15\nnode 3 should be visited before node11\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node7\nnode 4 should be visited before node14\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node18\nnode 5 should be visited before node17\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 6 should be visited before node1\nnode 6 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node7\nnode 8 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node15\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 10 should be visited before node3\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 11 should be visited before node12\nnode 11 should be visited before node7\nnode 12 should be visited before node16\nnode 13 should be visited before node0\nnode 13 should be visited before node20\nnode 13 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node14\nnode 15 should be visited before node17\nnode 16 should be visited before node7\nnode 16 should be visited before node14\nnode 17 should be visited before node1\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node4\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node14\nnode 19 should be visited before node11\nnode 19 should be visited before node6\nnode 19 should be visited before node4\nnode 20 should be visited before node15\nnode 20 should be visited before node17\nnode 20 should be visited before node1\nnode 20 should be visited before node8\nnode 20 should be visited before node16\nnode 20 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,10,13,5,20,3,0,15,8,19,18,2,11,6,17,1,12,4,16,7,14."
            }
        ]
    },
    {
        "id": "topology-medium-graph1336",
        "image": "data/topology/graph_visual/medium/graph1336.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 25 nodes numbered from 0 to 24:\nnode 0 should be visited before node13\nnode 0 should be visited before node22\nnode 0 should be visited before node5\nnode 0 should be visited before node15\nnode 0 should be visited before node21\nnode 0 should be visited before node14\nnode 0 should be visited before node3\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node19\nnode 1 should be visited before node6\nnode 1 should be visited before node23\nnode 1 should be visited before node13\nnode 1 should be visited before node11\nnode 1 should be visited before node5\nnode 1 should be visited before node24\nnode 1 should be visited before node21\nnode 1 should be visited before node18\nnode 1 should be visited before node14\nnode 1 should be visited before node12\nnode 1 should be visited before node2\nnode 2 should be visited before node4\nnode 3 should be visited before node12\nnode 3 should be visited before node4\nnode 5 should be visited before node24\nnode 5 should be visited before node18\nnode 5 should be visited before node14\nnode 5 should be visited before node3\nnode 5 should be visited before node12\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node13\nnode 6 should be visited before node22\nnode 6 should be visited before node20\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 6 should be visited before node24\nnode 6 should be visited before node21\nnode 6 should be visited before node18\nnode 6 should be visited before node14\nnode 6 should be visited before node12\nnode 6 should be visited before node4\nnode 7 should be visited before node16\nnode 7 should be visited before node6\nnode 7 should be visited before node23\nnode 7 should be visited before node0\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node24\nnode 7 should be visited before node15\nnode 7 should be visited before node21\nnode 7 should be visited before node18\nnode 7 should be visited before node14\nnode 7 should be visited before node3\nnode 7 should be visited before node12\nnode 7 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node17\nnode 8 should be visited before node19\nnode 8 should be visited before node16\nnode 8 should be visited before node22\nnode 8 should be visited before node11\nnode 8 should be visited before node24\nnode 8 should be visited before node15\nnode 8 should be visited before node21\nnode 8 should be visited before node18\nnode 8 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node17\nnode 9 should be visited before node16\nnode 9 should be visited before node6\nnode 9 should be visited before node23\nnode 9 should be visited before node0\nnode 9 should be visited before node13\nnode 9 should be visited before node20\nnode 9 should be visited before node5\nnode 9 should be visited before node24\nnode 9 should be visited before node15\nnode 9 should be visited before node21\nnode 9 should be visited before node14\nnode 9 should be visited before node12\nnode 9 should be visited before node2\nnode 9 should be visited before node4\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node16\nnode 10 should be visited before node23\nnode 10 should be visited before node0\nnode 10 should be visited before node22\nnode 10 should be visited before node11\nnode 10 should be visited before node24\nnode 10 should be visited before node15\nnode 10 should be visited before node14\nnode 10 should be visited before node3\nnode 10 should be visited before node12\nnode 10 should be visited before node2\nnode 11 should be visited before node5\nnode 11 should be visited before node24\nnode 11 should be visited before node15\nnode 11 should be visited before node21\nnode 11 should be visited before node14\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 12 should be visited before node2\nnode 12 should be visited before node4\nnode 13 should be visited before node22\nnode 13 should be visited before node20\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node24\nnode 13 should be visited before node15\nnode 13 should be visited before node21\nnode 13 should be visited before node18\nnode 13 should be visited before node14\nnode 13 should be visited before node3\nnode 13 should be visited before node4\nnode 14 should be visited before node3\nnode 14 should be visited before node12\nnode 14 should be visited before node2\nnode 14 should be visited before node4\nnode 15 should be visited before node21\nnode 15 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node3\nnode 15 should be visited before node12\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 16 should be visited before node6\nnode 16 should be visited before node23\nnode 16 should be visited before node0\nnode 16 should be visited before node13\nnode 16 should be visited before node22\nnode 16 should be visited before node20\nnode 16 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node24\nnode 16 should be visited before node15\nnode 16 should be visited before node21\nnode 16 should be visited before node14\nnode 16 should be visited before node3\nnode 16 should be visited before node12\nnode 16 should be visited before node2\nnode 17 should be visited before node19\nnode 17 should be visited before node23\nnode 17 should be visited before node13\nnode 17 should be visited before node22\nnode 17 should be visited before node11\nnode 17 should be visited before node5\nnode 17 should be visited before node24\nnode 17 should be visited before node15\nnode 17 should be visited before node21\nnode 17 should be visited before node18\nnode 17 should be visited before node14\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node2\nnode 18 should be visited before node14\nnode 18 should be visited before node12\nnode 18 should be visited before node2\nnode 18 should be visited before node4\nnode 19 should be visited before node16\nnode 19 should be visited before node23\nnode 19 should be visited before node0\nnode 19 should be visited before node11\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node18\nnode 19 should be visited before node14\nnode 19 should be visited before node3\nnode 19 should be visited before node2\nnode 19 should be visited before node4\nnode 20 should be visited before node11\nnode 20 should be visited before node5\nnode 20 should be visited before node24\nnode 20 should be visited before node15\nnode 20 should be visited before node21\nnode 20 should be visited before node14\nnode 20 should be visited before node4\nnode 21 should be visited before node18\nnode 21 should be visited before node3\nnode 21 should be visited before node4\nnode 22 should be visited before node5\nnode 22 should be visited before node15\nnode 22 should be visited before node21\nnode 22 should be visited before node18\nnode 22 should be visited before node14\nnode 22 should be visited before node3\nnode 22 should be visited before node2\nnode 22 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node20\nnode 23 should be visited before node24\nnode 23 should be visited before node18\nnode 23 should be visited before node2\nnode 23 should be visited before node4\nnode 24 should be visited before node18\nnode 24 should be visited before node14\nnode 24 should be visited before node3\nnode 24 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,10,1,9,7,17,19,16,6,23,0,13,22,20,11,5,15,24,21,18,14,3,12,2,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph391",
        "image": "data/topology/graph_visual/medium/graph391.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node4\nnode 2 should be visited before node12\nnode 2 should be visited before node3\nnode 2 should be visited before node14\nnode 2 should be visited before node1\nnode 2 should be visited before node4\nnode 3 should be visited before node4\nnode 5 should be visited before node8\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node4\nnode 6 should be visited before node10\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node11\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 7 should be visited before node1\nnode 7 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node11\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 10 should be visited before node2\nnode 10 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node4\nnode 11 should be visited before node3\nnode 11 should be visited before node0\nnode 11 should be visited before node14\nnode 11 should be visited before node1\nnode 12 should be visited before node1\nnode 12 should be visited before node4\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 13 should be visited before node4\nnode 14 should be visited before node1\nnode 14 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,7,9,13,5,10,8,2,11,12,3,0,14,1,4."
            }
        ]
    },
    {
        "id": "topology-medium-graph1090",
        "image": "data/topology/graph_visual/medium/graph1090.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node21\nnode 0 should be visited before node14\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 1 should be visited before node18\nnode 2 should be visited before node19\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node17\nnode 4 should be visited before node20\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 5 should be visited before node18\nnode 5 should be visited before node11\nnode 6 should be visited before node16\nnode 6 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node9\nnode 6 should be visited before node17\nnode 6 should be visited before node15\nnode 6 should be visited before node18\nnode 6 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node11\nnode 9 should be visited before node21\nnode 9 should be visited before node14\nnode 9 should be visited before node18\nnode 10 should be visited before node12\nnode 10 should be visited before node8\nnode 10 should be visited before node21\nnode 10 should be visited before node18\nnode 12 should be visited before node8\nnode 12 should be visited before node17\nnode 12 should be visited before node14\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 12 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node20\nnode 13 should be visited before node21\nnode 13 should be visited before node5\nnode 13 should be visited before node22\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 15 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node8\nnode 16 should be visited before node9\nnode 16 should be visited before node21\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 16 should be visited before node3\nnode 17 should be visited before node20\nnode 17 should be visited before node21\nnode 17 should be visited before node22\nnode 17 should be visited before node11\nnode 19 should be visited before node0\nnode 19 should be visited before node20\nnode 19 should be visited before node21\nnode 19 should be visited before node7\nnode 20 should be visited before node21\nnode 20 should be visited before node7\nnode 20 should be visited before node3\nnode 21 should be visited before node14\nnode 21 should be visited before node7\nnode 22 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,19,6,10,0,16,4,12,1,9,8,13,17,20,22,21,14,7,5,15,18,11,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph318",
        "image": "data/topology/graph_visual/medium/graph318.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 14 nodes numbered from 0 to 13:\nnode 0 should be visited before node9\nnode 0 should be visited before node7\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 3 should be visited before node13\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 4 should be visited before node13\nnode 4 should be visited before node1\nnode 4 should be visited before node9\nnode 5 should be visited before node8\nnode 5 should be visited before node10\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node12\nnode 5 should be visited before node6\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node7\nnode 8 should be visited before node12\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node4\nnode 10 should be visited before node12\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node13\nnode 10 should be visited before node0\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 11 should be visited before node2\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node9\nnode 12 should be visited before node3\nnode 12 should be visited before node1\nnode 12 should be visited before node9\nnode 13 should be visited before node0\nnode 13 should be visited before node1\nnode 13 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,8,10,11,4,2,12,6,3,13,0,1,9,7."
            }
        ]
    },
    {
        "id": "topology-medium-graph255",
        "image": "data/topology/graph_visual/medium/graph255.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 13 nodes numbered from 0 to 12:\nnode 1 should be visited before node11\nnode 1 should be visited before node4\nnode 1 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node12\nnode 3 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node2\nnode 3 should be visited before node6\nnode 3 should be visited before node0\nnode 4 should be visited before node8\nnode 5 should be visited before node12\nnode 5 should be visited before node11\nnode 5 should be visited before node4\nnode 5 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 6 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node12\nnode 9 should be visited before node4\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node4\nnode 10 should be visited before node8\nnode 10 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node7\nnode 11 should be visited before node4\nnode 11 should be visited before node8\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node8\nnode 12 should be visited before node2\nnode 12 should be visited before node6\nnode 12 should be visited before node0\nnode 12 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,10,9,5,1,12,11,4,8,2,6,7,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph407",
        "image": "data/topology/graph_visual/medium/graph407.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node14\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 1 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node13\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node9\nnode 8 should be visited before node13\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 11 should be visited before node10\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 12 should be visited before node8\nnode 12 should be visited before node11\nnode 12 should be visited before node4\nnode 12 should be visited before node3\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 14 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,7,8,11,6,10,2,0,5,14,4,3,1,13,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph140",
        "image": "data/topology/graph_visual/medium/graph140.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node8\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 4 should be visited before node3\nnode 5 should be visited before node10\nnode 5 should be visited before node7\nnode 5 should be visited before node8\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node6\nnode 6 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 8 should be visited before node11\nnode 8 should be visited before node2\nnode 8 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node3\nnode 11 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,9,1,10,7,0,8,11,2,6,4,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph1035",
        "image": "data/topology/graph_visual/medium/graph1035.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 2 should be visited before node18\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 2 should be visited before node17\nnode 2 should be visited before node12\nnode 2 should be visited before node4\nnode 2 should be visited before node13\nnode 2 should be visited before node1\nnode 4 should be visited before node13\nnode 5 should be visited before node20\nnode 5 should be visited before node19\nnode 5 should be visited before node16\nnode 5 should be visited before node12\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 5 should be visited before node4\nnode 5 should be visited before node13\nnode 5 should be visited before node1\nnode 6 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 8 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node15\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 9 should be visited before node8\nnode 9 should be visited before node20\nnode 9 should be visited before node19\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 9 should be visited before node14\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node3\nnode 9 should be visited before node13\nnode 9 should be visited before node1\nnode 10 should be visited before node21\nnode 10 should be visited before node18\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node8\nnode 10 should be visited before node19\nnode 10 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node17\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node19\nnode 11 should be visited before node15\nnode 11 should be visited before node0\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node6\nnode 12 should be visited before node1\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node4\nnode 14 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node12\nnode 15 should be visited before node14\nnode 15 should be visited before node13\nnode 15 should be visited before node1\nnode 16 should be visited before node7\nnode 16 should be visited before node0\nnode 16 should be visited before node6\nnode 16 should be visited before node3\nnode 17 should be visited before node14\nnode 17 should be visited before node0\nnode 17 should be visited before node13\nnode 17 should be visited before node1\nnode 18 should be visited before node9\nnode 18 should be visited before node8\nnode 18 should be visited before node14\nnode 18 should be visited before node7\nnode 18 should be visited before node0\nnode 18 should be visited before node6\nnode 18 should be visited before node13\nnode 19 should be visited before node15\nnode 19 should be visited before node16\nnode 19 should be visited before node17\nnode 19 should be visited before node12\nnode 19 should be visited before node14\nnode 19 should be visited before node7\nnode 19 should be visited before node0\nnode 20 should be visited before node19\nnode 20 should be visited before node15\nnode 20 should be visited before node17\nnode 20 should be visited before node12\nnode 20 should be visited before node7\nnode 20 should be visited before node0\nnode 20 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node13\nnode 21 should be visited before node18\nnode 21 should be visited before node9\nnode 21 should be visited before node8\nnode 21 should be visited before node20\nnode 21 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node6\nnode 21 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,10,11,21,5,18,9,8,20,19,15,17,16,12,14,6,7,0,4,3,1,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph1121",
        "image": "data/topology/graph_visual/medium/graph1121.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 0 should be visited before node18\nnode 0 should be visited before node21\nnode 0 should be visited before node10\nnode 1 should be visited before node16\nnode 1 should be visited before node18\nnode 1 should be visited before node21\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node20\nnode 1 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node20\nnode 3 should be visited before node0\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node11\nnode 3 should be visited before node21\nnode 3 should be visited before node2\nnode 3 should be visited before node20\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 4 should be visited before node9\nnode 5 should be visited before node17\nnode 5 should be visited before node14\nnode 5 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node8\nnode 6 should be visited before node12\nnode 6 should be visited before node15\nnode 6 should be visited before node19\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node11\nnode 6 should be visited before node16\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 7 should be visited before node19\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node11\nnode 7 should be visited before node2\nnode 7 should be visited before node4\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node10\nnode 11 should be visited before node16\nnode 11 should be visited before node18\nnode 11 should be visited before node14\nnode 11 should be visited before node4\nnode 11 should be visited before node20\nnode 11 should be visited before node9\nnode 11 should be visited before node8\nnode 12 should be visited before node7\nnode 12 should be visited before node19\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node18\nnode 12 should be visited before node21\nnode 12 should be visited before node4\nnode 12 should be visited before node9\nnode 13 should be visited before node6\nnode 13 should be visited before node15\nnode 13 should be visited before node7\nnode 13 should be visited before node19\nnode 13 should be visited before node3\nnode 13 should be visited before node0\nnode 13 should be visited before node5\nnode 13 should be visited before node1\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node14\nnode 13 should be visited before node21\nnode 13 should be visited before node4\nnode 13 should be visited before node20\nnode 13 should be visited before node8\nnode 14 should be visited before node21\nnode 14 should be visited before node20\nnode 14 should be visited before node9\nnode 14 should be visited before node8\nnode 15 should be visited before node7\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node10\nnode 16 should be visited before node18\nnode 16 should be visited before node2\nnode 16 should be visited before node20\nnode 16 should be visited before node9\nnode 16 should be visited before node10\nnode 16 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node21\nnode 17 should be visited before node2\nnode 17 should be visited before node20\nnode 18 should be visited before node14\nnode 18 should be visited before node21\nnode 18 should be visited before node2\nnode 18 should be visited before node20\nnode 18 should be visited before node9\nnode 18 should be visited before node10\nnode 18 should be visited before node8\nnode 19 should be visited before node5\nnode 19 should be visited before node1\nnode 19 should be visited before node17\nnode 19 should be visited before node2\nnode 19 should be visited before node9\nnode 19 should be visited before node8\nnode 20 should be visited before node9\nnode 20 should be visited before node10\nnode 21 should be visited before node2\nnode 21 should be visited before node9\nnode 21 should be visited before node10\nnode 22 should be visited before node6\nnode 22 should be visited before node5\nnode 22 should be visited before node1\nnode 22 should be visited before node16\nnode 22 should be visited before node18\nnode 22 should be visited before node14\nnode 22 should be visited before node2\nnode 22 should be visited before node4\nnode 22 should be visited before node9\nnode 22 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,22,6,12,15,7,19,3,0,5,1,11,17,16,18,14,21,8,2,4,20,9,10."
            }
        ]
    },
    {
        "id": "topology-medium-graph1111",
        "image": "data/topology/graph_visual/medium/graph1111.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 23 nodes numbered from 0 to 22:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node16\nnode 0 should be visited before node2\nnode 0 should be visited before node22\nnode 0 should be visited before node21\nnode 1 should be visited before node18\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node11\nnode 1 should be visited before node12\nnode 1 should be visited before node16\nnode 1 should be visited before node22\nnode 2 should be visited before node22\nnode 2 should be visited before node21\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node17\nnode 4 should be visited before node0\nnode 4 should be visited before node10\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node16\nnode 4 should be visited before node22\nnode 5 should be visited before node6\nnode 5 should be visited before node22\nnode 5 should be visited before node21\nnode 6 should be visited before node12\nnode 6 should be visited before node2\nnode 6 should be visited before node22\nnode 6 should be visited before node21\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node20\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node9\nnode 7 should be visited before node11\nnode 7 should be visited before node2\nnode 7 should be visited before node21\nnode 8 should be visited before node19\nnode 8 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node20\nnode 8 should be visited before node10\nnode 8 should be visited before node15\nnode 8 should be visited before node9\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node11\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node22\nnode 9 should be visited before node11\nnode 9 should be visited before node16\nnode 9 should be visited before node2\nnode 9 should be visited before node22\nnode 10 should be visited before node15\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node21\nnode 11 should be visited before node21\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 13 should be visited before node8\nnode 13 should be visited before node19\nnode 13 should be visited before node7\nnode 13 should be visited before node17\nnode 13 should be visited before node14\nnode 13 should be visited before node20\nnode 13 should be visited before node18\nnode 13 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node6\nnode 13 should be visited before node2\nnode 13 should be visited before node22\nnode 14 should be visited before node10\nnode 14 should be visited before node9\nnode 14 should be visited before node5\nnode 14 should be visited before node6\nnode 14 should be visited before node11\nnode 14 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node22\nnode 14 should be visited before node21\nnode 15 should be visited before node1\nnode 15 should be visited before node6\nnode 15 should be visited before node12\nnode 15 should be visited before node16\nnode 17 should be visited before node0\nnode 17 should be visited before node20\nnode 17 should be visited before node18\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node2\nnode 18 should be visited before node3\nnode 18 should be visited before node6\nnode 18 should be visited before node16\nnode 18 should be visited before node2\nnode 18 should be visited before node21\nnode 19 should be visited before node4\nnode 19 should be visited before node1\nnode 19 should be visited before node12\nnode 19 should be visited before node2\nnode 20 should be visited before node10\nnode 20 should be visited before node9\nnode 20 should be visited before node11\nnode 20 should be visited before node12\nnode 20 should be visited before node2\nnode 20 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,8,19,14,4,7,17,0,20,10,15,1,18,9,5,3,6,11,12,16,2,22,21."
            }
        ]
    },
    {
        "id": "topology-medium-graph9",
        "image": "data/topology/graph_visual/medium/graph9.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 3 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 8 should be visited before node3\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 10 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,5,3,0,9,10,1,2,7,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph429",
        "image": "data/topology/graph_visual/medium/graph429.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 15 nodes numbered from 0 to 14:\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 1 should be visited before node13\nnode 2 should be visited before node5\nnode 2 should be visited before node0\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 3 should be visited before node7\nnode 3 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 4 should be visited before node10\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node9\nnode 4 should be visited before node14\nnode 4 should be visited before node2\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node13\nnode 5 should be visited before node12\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node13\nnode 7 should be visited before node9\nnode 7 should be visited before node14\nnode 7 should be visited before node5\nnode 7 should be visited before node0\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 7 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node5\nnode 8 should be visited before node12\nnode 8 should be visited before node11\nnode 9 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node0\nnode 9 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 11 should be visited before node1\nnode 12 should be visited before node6\nnode 12 should be visited before node11\nnode 12 should be visited before node1\nnode 12 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 14 should be visited before node0\nnode 14 should be visited before node12\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,10,8,3,7,9,14,2,5,0,12,6,11,1,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph615",
        "image": "data/topology/graph_visual/medium/graph615.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 17 nodes numbered from 0 to 16:\nnode 0 should be visited before node14\nnode 0 should be visited before node5\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 2 should be visited before node12\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 3 should be visited before node13\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 4 should be visited before node8\nnode 4 should be visited before node7\nnode 4 should be visited before node15\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node13\nnode 4 should be visited before node14\nnode 4 should be visited before node5\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node5\nnode 7 should be visited before node16\nnode 7 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 8 should be visited before node6\nnode 8 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node5\nnode 9 should be visited before node12\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node13\nnode 10 should be visited before node0\nnode 10 should be visited before node14\nnode 10 should be visited before node5\nnode 11 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node6\nnode 11 should be visited before node12\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 11 should be visited before node13\nnode 11 should be visited before node0\nnode 11 should be visited before node14\nnode 11 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 12 should be visited before node1\nnode 12 should be visited before node13\nnode 12 should be visited before node14\nnode 12 should be visited before node5\nnode 13 should be visited before node0\nnode 13 should be visited before node14\nnode 13 should be visited before node5\nnode 14 should be visited before node5\nnode 15 should be visited before node2\nnode 15 should be visited before node6\nnode 15 should be visited before node3\nnode 15 should be visited before node1\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node5\nnode 16 should be visited before node2\nnode 16 should be visited before node9\nnode 16 should be visited before node6\nnode 16 should be visited before node12\nnode 16 should be visited before node10\nnode 16 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node0\nnode 16 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,4,8,15,7,16,2,9,6,12,10,3,1,13,0,14,5."
            }
        ]
    },
    {
        "id": "topology-medium-graph878",
        "image": "data/topology/graph_visual/medium/graph878.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 20 nodes numbered from 0 to 19:\nnode 0 should be visited before node11\nnode 0 should be visited before node10\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 0 should be visited before node8\nnode 0 should be visited before node7\nnode 0 should be visited before node2\nnode 0 should be visited before node12\nnode 0 should be visited before node19\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node19\nnode 2 should be visited before node12\nnode 2 should be visited before node19\nnode 3 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node11\nnode 3 should be visited before node6\nnode 3 should be visited before node8\nnode 3 should be visited before node2\nnode 3 should be visited before node12\nnode 3 should be visited before node19\nnode 4 should be visited before node2\nnode 4 should be visited before node12\nnode 5 should be visited before node17\nnode 5 should be visited before node0\nnode 5 should be visited before node15\nnode 5 should be visited before node10\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node8\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 5 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node19\nnode 7 should be visited before node2\nnode 7 should be visited before node12\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node19\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node7\nnode 10 should be visited before node2\nnode 10 should be visited before node12\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node10\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node19\nnode 12 should be visited before node19\nnode 13 should be visited before node8\nnode 13 should be visited before node4\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 14 should be visited before node10\nnode 14 should be visited before node13\nnode 14 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node7\nnode 14 should be visited before node4\nnode 14 should be visited before node12\nnode 14 should be visited before node19\nnode 15 should be visited before node14\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node8\nnode 15 should be visited before node7\nnode 15 should be visited before node4\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 15 should be visited before node19\nnode 16 should be visited before node9\nnode 16 should be visited before node17\nnode 16 should be visited before node0\nnode 16 should be visited before node15\nnode 16 should be visited before node1\nnode 16 should be visited before node13\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 16 should be visited before node4\nnode 16 should be visited before node2\nnode 16 should be visited before node12\nnode 17 should be visited before node0\nnode 17 should be visited before node15\nnode 17 should be visited before node14\nnode 17 should be visited before node10\nnode 17 should be visited before node1\nnode 17 should be visited before node8\nnode 17 should be visited before node4\nnode 17 should be visited before node2\nnode 17 should be visited before node19\nnode 18 should be visited before node9\nnode 18 should be visited before node5\nnode 18 should be visited before node17\nnode 18 should be visited before node0\nnode 18 should be visited before node15\nnode 18 should be visited before node14\nnode 18 should be visited before node10\nnode 18 should be visited before node1\nnode 18 should be visited before node6\nnode 18 should be visited before node8\nnode 18 should be visited before node4\nnode 18 should be visited before node2\nnode 18 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,18,16,9,5,17,0,11,15,14,10,13,1,6,8,4,7,2,12,19."
            }
        ]
    },
    {
        "id": "topology-medium-graph1246",
        "image": "data/topology/graph_visual/medium/graph1246.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 3 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node13\nnode 4 should be visited before node16\nnode 4 should be visited before node23\nnode 4 should be visited before node20\nnode 4 should be visited before node22\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 5 should be visited before node19\nnode 5 should be visited before node20\nnode 5 should be visited before node22\nnode 5 should be visited before node0\nnode 5 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node13\nnode 6 should be visited before node8\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 6 should be visited before node16\nnode 6 should be visited before node19\nnode 6 should be visited before node23\nnode 6 should be visited before node20\nnode 6 should be visited before node22\nnode 6 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node13\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node10\nnode 7 should be visited before node16\nnode 7 should be visited before node21\nnode 7 should be visited before node5\nnode 7 should be visited before node19\nnode 7 should be visited before node23\nnode 7 should be visited before node20\nnode 7 should be visited before node22\nnode 7 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node2\nnode 7 should be visited before node13\nnode 8 should be visited before node10\nnode 8 should be visited before node4\nnode 8 should be visited before node16\nnode 8 should be visited before node21\nnode 8 should be visited before node5\nnode 8 should be visited before node23\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node10\nnode 9 should be visited before node17\nnode 9 should be visited before node16\nnode 9 should be visited before node21\nnode 9 should be visited before node5\nnode 9 should be visited before node19\nnode 9 should be visited before node20\nnode 9 should be visited before node0\nnode 10 should be visited before node17\nnode 10 should be visited before node4\nnode 10 should be visited before node16\nnode 10 should be visited before node21\nnode 10 should be visited before node19\nnode 10 should be visited before node23\nnode 10 should be visited before node20\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node1\nnode 10 should be visited before node13\nnode 11 should be visited before node15\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node18\nnode 11 should be visited before node8\nnode 11 should be visited before node21\nnode 11 should be visited before node5\nnode 11 should be visited before node19\nnode 11 should be visited before node20\nnode 11 should be visited before node22\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 12 should be visited before node17\nnode 12 should be visited before node4\nnode 12 should be visited before node16\nnode 12 should be visited before node19\nnode 12 should be visited before node23\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 12 should be visited before node3\nnode 12 should be visited before node0\nnode 12 should be visited before node1\nnode 12 should be visited before node2\nnode 12 should be visited before node13\nnode 14 should be visited before node9\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 14 should be visited before node17\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node19\nnode 14 should be visited before node23\nnode 14 should be visited before node20\nnode 14 should be visited before node22\nnode 14 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node13\nnode 15 should be visited before node18\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node4\nnode 15 should be visited before node16\nnode 15 should be visited before node21\nnode 15 should be visited before node5\nnode 15 should be visited before node23\nnode 15 should be visited before node20\nnode 15 should be visited before node3\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 15 should be visited before node2\nnode 16 should be visited before node21\nnode 16 should be visited before node22\nnode 16 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node2\nnode 16 should be visited before node13\nnode 17 should be visited before node16\nnode 17 should be visited before node19\nnode 17 should be visited before node23\nnode 17 should be visited before node20\nnode 17 should be visited before node22\nnode 17 should be visited before node3\nnode 17 should be visited before node0\nnode 17 should be visited before node1\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 18 should be visited before node6\nnode 18 should be visited before node8\nnode 18 should be visited before node12\nnode 18 should be visited before node10\nnode 18 should be visited before node17\nnode 18 should be visited before node21\nnode 18 should be visited before node5\nnode 18 should be visited before node19\nnode 18 should be visited before node23\nnode 18 should be visited before node3\nnode 18 should be visited before node1\nnode 18 should be visited before node13\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node22\nnode 19 should be visited before node3\nnode 19 should be visited before node0\nnode 19 should be visited before node1\nnode 20 should be visited before node22\nnode 20 should be visited before node3\nnode 20 should be visited before node0\nnode 20 should be visited before node1\nnode 20 should be visited before node2\nnode 21 should be visited before node5\nnode 21 should be visited before node19\nnode 21 should be visited before node23\nnode 21 should be visited before node20\nnode 21 should be visited before node22\nnode 21 should be visited before node3\nnode 21 should be visited before node0\nnode 21 should be visited before node2\nnode 21 should be visited before node13\nnode 22 should be visited before node3\nnode 22 should be visited before node1\nnode 22 should be visited before node13\nnode 23 should be visited before node20\nnode 23 should be visited before node22\nnode 23 should be visited before node3\nnode 23 should be visited before node0\nnode 23 should be visited before node1\nnode 23 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,14,15,9,7,18,6,8,12,10,17,4,16,21,5,19,23,20,22,3,0,2,1,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph1071",
        "image": "data/topology/graph_visual/medium/graph1071.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node21\nnode 0 should be visited before node19\nnode 0 should be visited before node14\nnode 0 should be visited before node6\nnode 0 should be visited before node18\nnode 0 should be visited before node16\nnode 0 should be visited before node8\nnode 0 should be visited before node17\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node9\nnode 0 should be visited before node7\nnode 0 should be visited before node12\nnode 0 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node12\nnode 1 should be visited before node15\nnode 2 should be visited before node20\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 5 should be visited before node13\nnode 5 should be visited before node12\nnode 6 should be visited before node18\nnode 6 should be visited before node16\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node17\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node9\nnode 6 should be visited before node13\nnode 6 should be visited before node12\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 7 should be visited before node13\nnode 7 should be visited before node12\nnode 7 should be visited before node15\nnode 7 should be visited before node3\nnode 8 should be visited before node17\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node13\nnode 8 should be visited before node12\nnode 8 should be visited before node15\nnode 8 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node13\nnode 9 should be visited before node12\nnode 9 should be visited before node15\nnode 9 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node18\nnode 10 should be visited before node16\nnode 10 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node4\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node18\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node17\nnode 11 should be visited before node4\nnode 11 should be visited before node20\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node12\nnode 11 should be visited before node15\nnode 11 should be visited before node3\nnode 12 should be visited before node15\nnode 13 should be visited before node15\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node8\nnode 14 should be visited before node17\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node15\nnode 15 should be visited before node3\nnode 16 should be visited before node8\nnode 16 should be visited before node17\nnode 16 should be visited before node20\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 16 should be visited before node9\nnode 16 should be visited before node3\nnode 17 should be visited before node4\nnode 17 should be visited before node5\nnode 17 should be visited before node9\nnode 17 should be visited before node7\nnode 17 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node15\nnode 17 should be visited before node3\nnode 18 should be visited before node16\nnode 18 should be visited before node2\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 18 should be visited before node4\nnode 18 should be visited before node20\nnode 18 should be visited before node9\nnode 18 should be visited before node7\nnode 18 should be visited before node13\nnode 18 should be visited before node15\nnode 18 should be visited before node3\nnode 19 should be visited before node11\nnode 19 should be visited before node14\nnode 19 should be visited before node10\nnode 19 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node16\nnode 19 should be visited before node8\nnode 19 should be visited before node17\nnode 19 should be visited before node4\nnode 19 should be visited before node20\nnode 19 should be visited before node5\nnode 19 should be visited before node9\nnode 19 should be visited before node7\nnode 20 should be visited before node1\nnode 20 should be visited before node9\nnode 20 should be visited before node7\nnode 20 should be visited before node12\nnode 20 should be visited before node15\nnode 20 should be visited before node3\nnode 21 should be visited before node19\nnode 21 should be visited before node14\nnode 21 should be visited before node16\nnode 21 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node4\nnode 21 should be visited before node20\nnode 21 should be visited before node13\nnode 21 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,21,19,11,14,10,6,18,16,2,8,17,4,20,5,1,9,7,13,12,15,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph900",
        "image": "data/topology/graph_visual/medium/graph900.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 21 nodes numbered from 0 to 20:\nnode 2 should be visited before node15\nnode 2 should be visited before node16\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node17\nnode 3 should be visited before node7\nnode 3 should be visited before node20\nnode 3 should be visited before node19\nnode 3 should be visited before node17\nnode 3 should be visited before node9\nnode 4 should be visited before node17\nnode 5 should be visited before node10\nnode 5 should be visited before node16\nnode 5 should be visited before node19\nnode 5 should be visited before node17\nnode 5 should be visited before node0\nnode 6 should be visited before node0\nnode 7 should be visited before node13\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node6\nnode 7 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 10 should be visited before node18\nnode 10 should be visited before node19\nnode 10 should be visited before node14\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 11 should be visited before node4\nnode 11 should be visited before node8\nnode 11 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node2\nnode 12 should be visited before node10\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 13 should be visited before node11\nnode 13 should be visited before node8\nnode 13 should be visited before node1\nnode 13 should be visited before node17\nnode 14 should be visited before node1\nnode 14 should be visited before node0\nnode 15 should be visited before node16\nnode 15 should be visited before node11\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 16 should be visited before node8\nnode 16 should be visited before node18\nnode 18 should be visited before node14\nnode 18 should be visited before node1\nnode 20 should be visited before node18\nnode 20 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,5,12,20,7,13,2,10,15,6,19,16,11,18,4,8,9,17,14,1,0."
            }
        ]
    },
    {
        "id": "topology-medium-graph996",
        "image": "data/topology/graph_visual/medium/graph996.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 0 should be visited before node19\nnode 2 should be visited before node14\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node15\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 5 should be visited before node20\nnode 5 should be visited before node21\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 7 should be visited before node19\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node19\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node7\nnode 11 should be visited before node1\nnode 11 should be visited before node19\nnode 11 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node13\nnode 12 should be visited before node14\nnode 13 should be visited before node19\nnode 15 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node17\nnode 16 should be visited before node9\nnode 16 should be visited before node7\nnode 17 should be visited before node11\nnode 17 should be visited before node7\nnode 17 should be visited before node1\nnode 17 should be visited before node13\nnode 18 should be visited before node0\nnode 18 should be visited before node7\nnode 18 should be visited before node13\nnode 19 should be visited before node6\nnode 20 should be visited before node4\nnode 20 should be visited before node16\nnode 20 should be visited before node17\nnode 20 should be visited before node10\nnode 20 should be visited before node12\nnode 20 should be visited before node11\nnode 20 should be visited before node7\nnode 20 should be visited before node19\nnode 21 should be visited before node10\nnode 21 should be visited before node12\nnode 21 should be visited before node11\nnode 21 should be visited before node2\nnode 21 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,8,18,20,21,4,16,0,3,17,10,15,11,12,9,7,13,2,1,19,14,6."
            }
        ]
    },
    {
        "id": "topology-medium-graph673",
        "image": "data/topology/graph_visual/medium/graph673.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node10\nnode 0 should be visited before node8\nnode 1 should be visited before node12\nnode 1 should be visited before node11\nnode 1 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 4 should be visited before node16\nnode 4 should be visited before node1\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node10\nnode 6 should be visited before node3\nnode 7 should be visited before node17\nnode 7 should be visited before node2\nnode 7 should be visited before node9\nnode 7 should be visited before node3\nnode 8 should be visited before node3\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node12\nnode 13 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 13 should be visited before node0\nnode 13 should be visited before node10\nnode 14 should be visited before node7\nnode 14 should be visited before node2\nnode 14 should be visited before node9\nnode 14 should be visited before node0\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 15 should be visited before node16\nnode 15 should be visited before node1\nnode 15 should be visited before node12\nnode 15 should be visited before node14\nnode 15 should be visited before node9\nnode 15 should be visited before node0\nnode 15 should be visited before node10\nnode 15 should be visited before node8\nnode 16 should be visited before node1\nnode 16 should be visited before node11\nnode 16 should be visited before node14\nnode 16 should be visited before node0\nnode 16 should be visited before node8\nnode 16 should be visited before node3\nnode 17 should be visited before node2\nnode 17 should be visited before node5\nnode 17 should be visited before node10\nnode 17 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,13,15,6,16,1,12,11,14,7,0,17,2,5,9,10,8,3."
            }
        ]
    },
    {
        "id": "topology-medium-graph8",
        "image": "data/topology/graph_visual/medium/graph8.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 11 nodes numbered from 0 to 10:\nnode 0 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 3 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node9\nnode 6 should be visited before node7\nnode 7 should be visited before node10\nnode 7 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,6,0,7,4,10,3,9."
            }
        ]
    },
    {
        "id": "topology-medium-graph681",
        "image": "data/topology/graph_visual/medium/graph681.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 18 nodes numbered from 0 to 17:\nnode 0 should be visited before node8\nnode 0 should be visited before node5\nnode 0 should be visited before node17\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node7\nnode 0 should be visited before node15\nnode 0 should be visited before node10\nnode 0 should be visited before node12\nnode 0 should be visited before node13\nnode 2 should be visited before node5\nnode 2 should be visited before node17\nnode 2 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node15\nnode 2 should be visited before node3\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 3 should be visited before node9\nnode 3 should be visited before node12\nnode 4 should be visited before node7\nnode 4 should be visited before node9\nnode 4 should be visited before node1\nnode 4 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node12\nnode 5 should be visited before node13\nnode 6 should be visited before node17\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node4\nnode 8 should be visited before node15\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node13\nnode 11 should be visited before node13\nnode 12 should be visited before node13\nnode 14 should be visited before node4\nnode 14 should be visited before node9\nnode 14 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node9\nnode 15 should be visited before node11\nnode 15 should be visited before node12\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 16 should be visited before node7\nnode 16 should be visited before node3\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node12\nnode 16 should be visited before node1\nnode 16 should be visited before node13\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 17 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,6,8,16,5,17,14,15,4,3,7,9,11,10,1,12,13."
            }
        ]
    },
    {
        "id": "topology-medium-graph1253",
        "image": "data/topology/graph_visual/medium/graph1253.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node13\nnode 0 should be visited before node23\nnode 0 should be visited before node2\nnode 0 should be visited before node14\nnode 0 should be visited before node19\nnode 0 should be visited before node7\nnode 0 should be visited before node18\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 0 should be visited before node15\nnode 0 should be visited before node3\nnode 0 should be visited before node22\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node13\nnode 1 should be visited before node23\nnode 1 should be visited before node2\nnode 1 should be visited before node14\nnode 1 should be visited before node19\nnode 1 should be visited before node18\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 1 should be visited before node16\nnode 1 should be visited before node15\nnode 1 should be visited before node3\nnode 2 should be visited before node14\nnode 2 should be visited before node19\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node20\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 3 should be visited before node22\nnode 4 should be visited before node20\nnode 4 should be visited before node12\nnode 4 should be visited before node16\nnode 4 should be visited before node15\nnode 4 should be visited before node3\nnode 4 should be visited before node22\nnode 5 should be visited before node0\nnode 5 should be visited before node13\nnode 5 should be visited before node23\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 5 should be visited before node18\nnode 5 should be visited before node4\nnode 5 should be visited before node20\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node22\nnode 6 should be visited before node5\nnode 6 should be visited before node0\nnode 6 should be visited before node13\nnode 6 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node19\nnode 6 should be visited before node7\nnode 6 should be visited before node18\nnode 6 should be visited before node20\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node20\nnode 7 should be visited before node12\nnode 7 should be visited before node16\nnode 7 should be visited before node15\nnode 7 should be visited before node3\nnode 7 should be visited before node22\nnode 8 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node19\nnode 9 should be visited before node7\nnode 9 should be visited before node20\nnode 9 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node8\nnode 9 should be visited before node15\nnode 9 should be visited before node3\nnode 9 should be visited before node22\nnode 10 should be visited before node17\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node23\nnode 10 should be visited before node19\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node20\nnode 10 should be visited before node12\nnode 10 should be visited before node16\nnode 10 should be visited before node8\nnode 10 should be visited before node15\nnode 10 should be visited before node3\nnode 11 should be visited before node10\nnode 11 should be visited before node9\nnode 11 should be visited before node1\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node2\nnode 11 should be visited before node7\nnode 11 should be visited before node18\nnode 11 should be visited before node4\nnode 11 should be visited before node20\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node15\nnode 11 should be visited before node3\nnode 11 should be visited before node22\nnode 12 should be visited before node16\nnode 12 should be visited before node8\nnode 12 should be visited before node15\nnode 12 should be visited before node3\nnode 12 should be visited before node22\nnode 13 should be visited before node23\nnode 13 should be visited before node2\nnode 13 should be visited before node14\nnode 13 should be visited before node19\nnode 13 should be visited before node18\nnode 13 should be visited before node4\nnode 13 should be visited before node20\nnode 13 should be visited before node12\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 14 should be visited before node19\nnode 14 should be visited before node18\nnode 14 should be visited before node4\nnode 14 should be visited before node20\nnode 14 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node8\nnode 14 should be visited before node15\nnode 14 should be visited before node3\nnode 15 should be visited before node22\nnode 16 should be visited before node8\nnode 16 should be visited before node22\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 17 should be visited before node6\nnode 17 should be visited before node0\nnode 17 should be visited before node13\nnode 17 should be visited before node2\nnode 17 should be visited before node14\nnode 17 should be visited before node19\nnode 17 should be visited before node18\nnode 17 should be visited before node4\nnode 17 should be visited before node20\nnode 17 should be visited before node16\nnode 17 should be visited before node15\nnode 17 should be visited before node3\nnode 18 should be visited before node20\nnode 18 should be visited before node16\nnode 18 should be visited before node8\nnode 18 should be visited before node22\nnode 19 should be visited before node7\nnode 19 should be visited before node18\nnode 19 should be visited before node4\nnode 19 should be visited before node20\nnode 19 should be visited before node12\nnode 19 should be visited before node16\nnode 19 should be visited before node8\nnode 19 should be visited before node15\nnode 19 should be visited before node22\nnode 20 should be visited before node12\nnode 20 should be visited before node16\nnode 20 should be visited before node8\nnode 20 should be visited before node22\nnode 21 should be visited before node11\nnode 21 should be visited before node10\nnode 21 should be visited before node17\nnode 21 should be visited before node9\nnode 21 should be visited before node1\nnode 21 should be visited before node0\nnode 21 should be visited before node13\nnode 21 should be visited before node23\nnode 21 should be visited before node2\nnode 21 should be visited before node14\nnode 21 should be visited before node19\nnode 21 should be visited before node7\nnode 21 should be visited before node18\nnode 21 should be visited before node20\nnode 21 should be visited before node12\nnode 21 should be visited before node16\nnode 21 should be visited before node8\nnode 21 should be visited before node15\nnode 23 should be visited before node2\nnode 23 should be visited before node14\nnode 23 should be visited before node19\nnode 23 should be visited before node7\nnode 23 should be visited before node18\nnode 23 should be visited before node20\nnode 23 should be visited before node8\nnode 23 should be visited before node15\nnode 23 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,11,10,17,9,1,6,5,0,13,23,2,14,19,7,18,4,20,12,16,15,8,3,22."
            }
        ]
    },
    {
        "id": "topology-medium-graph116",
        "image": "data/topology/graph_visual/medium/graph116.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 12 nodes numbered from 0 to 11:\nnode 0 should be visited before node11\nnode 0 should be visited before node4\nnode 0 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 4 should be visited before node2\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 5 should be visited before node2\nnode 6 should be visited before node10\nnode 8 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node10\nnode 11 should be visited before node10\nnode 11 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,8,9,5,1,6,0,11,4,10,7,2."
            }
        ]
    },
    {
        "id": "topology-medium-graph1196",
        "image": "data/topology/graph_visual/medium/graph1196.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 24 nodes numbered from 0 to 23:\nnode 0 should be visited before node5\nnode 0 should be visited before node21\nnode 0 should be visited before node20\nnode 1 should be visited before node5\nnode 1 should be visited before node21\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 2 should be visited before node3\nnode 3 should be visited before node20\nnode 5 should be visited before node6\nnode 5 should be visited before node21\nnode 5 should be visited before node3\nnode 5 should be visited before node20\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node20\nnode 7 should be visited before node2\nnode 7 should be visited before node18\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node20\nnode 8 should be visited before node10\nnode 8 should be visited before node18\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 9 should be visited before node6\nnode 10 should be visited before node1\nnode 10 should be visited before node21\nnode 10 should be visited before node20\nnode 11 should be visited before node17\nnode 11 should be visited before node8\nnode 11 should be visited before node1\nnode 11 should be visited before node9\nnode 12 should be visited before node2\nnode 12 should be visited before node10\nnode 12 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node21\nnode 13 should be visited before node6\nnode 13 should be visited before node19\nnode 14 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 15 should be visited before node8\nnode 15 should be visited before node10\nnode 15 should be visited before node13\nnode 15 should be visited before node5\nnode 15 should be visited before node4\nnode 15 should be visited before node20\nnode 16 should be visited before node22\nnode 16 should be visited before node17\nnode 16 should be visited before node15\nnode 16 should be visited before node7\nnode 16 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node20\nnode 17 should be visited before node7\nnode 17 should be visited before node9\nnode 17 should be visited before node6\nnode 18 should be visited before node1\nnode 18 should be visited before node3\nnode 18 should be visited before node19\nnode 18 should be visited before node4\nnode 21 should be visited before node3\nnode 22 should be visited before node15\nnode 22 should be visited before node7\nnode 22 should be visited before node1\nnode 22 should be visited before node6\nnode 22 should be visited before node4\nnode 23 should be visited before node16\nnode 23 should be visited before node12\nnode 23 should be visited before node7\nnode 23 should be visited before node2\nnode 23 should be visited before node18\nnode 23 should be visited before node3\nnode 23 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,11,14,23,16,12,22,17,15,7,8,2,18,9,10,13,1,19,5,6,21,4,3,20."
            }
        ]
    },
    {
        "id": "topology-medium-graph1053",
        "image": "data/topology/graph_visual/medium/graph1053.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 22 nodes numbered from 0 to 21:\nnode 1 should be visited before node21\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node21\nnode 2 should be visited before node6\nnode 3 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node20\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node12\nnode 3 should be visited before node8\nnode 3 should be visited before node21\nnode 3 should be visited before node6\nnode 4 should be visited before node19\nnode 4 should be visited before node2\nnode 4 should be visited before node12\nnode 4 should be visited before node7\nnode 4 should be visited before node21\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 5 should be visited before node9\nnode 5 should be visited before node15\nnode 5 should be visited before node17\nnode 5 should be visited before node13\nnode 5 should be visited before node11\nnode 5 should be visited before node20\nnode 5 should be visited before node4\nnode 5 should be visited before node19\nnode 5 should be visited before node18\nnode 5 should be visited before node2\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node21\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node21\nnode 7 should be visited before node6\nnode 7 should be visited before node0\nnode 8 should be visited before node1\nnode 8 should be visited before node21\nnode 8 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node13\nnode 9 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node20\nnode 9 should be visited before node4\nnode 9 should be visited before node19\nnode 9 should be visited before node18\nnode 9 should be visited before node12\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node21\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 10 should be visited before node11\nnode 10 should be visited before node19\nnode 10 should be visited before node18\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node19\nnode 11 should be visited before node18\nnode 11 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node1\nnode 11 should be visited before node21\nnode 11 should be visited before node6\nnode 11 should be visited before node0\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node21\nnode 12 should be visited before node6\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 13 should be visited before node20\nnode 13 should be visited before node4\nnode 13 should be visited before node19\nnode 13 should be visited before node18\nnode 13 should be visited before node2\nnode 13 should be visited before node12\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node1\nnode 13 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node11\nnode 14 should be visited before node20\nnode 14 should be visited before node19\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node21\nnode 14 should be visited before node6\nnode 14 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node13\nnode 15 should be visited before node10\nnode 15 should be visited before node11\nnode 15 should be visited before node20\nnode 15 should be visited before node4\nnode 15 should be visited before node19\nnode 15 should be visited before node18\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 15 should be visited before node7\nnode 15 should be visited before node1\nnode 15 should be visited before node0\nnode 16 should be visited before node9\nnode 16 should be visited before node17\nnode 16 should be visited before node3\nnode 16 should be visited before node14\nnode 16 should be visited before node13\nnode 16 should be visited before node11\nnode 16 should be visited before node20\nnode 16 should be visited before node4\nnode 16 should be visited before node18\nnode 16 should be visited before node2\nnode 16 should be visited before node12\nnode 16 should be visited before node7\nnode 16 should be visited before node8\nnode 16 should be visited before node1\nnode 16 should be visited before node6\nnode 17 should be visited before node14\nnode 17 should be visited before node13\nnode 17 should be visited before node10\nnode 17 should be visited before node11\nnode 17 should be visited before node20\nnode 17 should be visited before node19\nnode 17 should be visited before node18\nnode 17 should be visited before node2\nnode 17 should be visited before node12\nnode 17 should be visited before node7\nnode 17 should be visited before node8\nnode 17 should be visited before node1\nnode 17 should be visited before node21\nnode 17 should be visited before node0\nnode 18 should be visited before node2\nnode 18 should be visited before node12\nnode 18 should be visited before node7\nnode 18 should be visited before node21\nnode 18 should be visited before node6\nnode 18 should be visited before node0\nnode 19 should be visited before node18\nnode 19 should be visited before node12\nnode 19 should be visited before node8\nnode 19 should be visited before node1\nnode 19 should be visited before node6\nnode 19 should be visited before node0\nnode 20 should be visited before node4\nnode 20 should be visited before node19\nnode 20 should be visited before node18\nnode 20 should be visited before node12\nnode 20 should be visited before node7\nnode 20 should be visited before node1\nnode 20 should be visited before node21\nnode 21 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,16,15,9,17,3,14,13,10,20,11,4,19,18,2,12,7,8,1,21,0,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph1153",
        "image": "data/topology/graph_visual/hard/graph1153.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node5\nnode 0 should be visited before node29\nnode 0 should be visited before node19\nnode 0 should be visited before node11\nnode 0 should be visited before node17\nnode 0 should be visited before node12\nnode 0 should be visited before node21\nnode 0 should be visited before node3\nnode 0 should be visited before node28\nnode 1 should be visited before node33\nnode 1 should be visited before node2\nnode 1 should be visited before node29\nnode 1 should be visited before node19\nnode 1 should be visited before node11\nnode 1 should be visited before node13\nnode 1 should be visited before node6\nnode 1 should be visited before node21\nnode 2 should be visited before node29\nnode 2 should be visited before node19\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node21\nnode 2 should be visited before node3\nnode 2 should be visited before node28\nnode 4 should be visited before node30\nnode 4 should be visited before node0\nnode 4 should be visited before node22\nnode 4 should be visited before node16\nnode 4 should be visited before node33\nnode 4 should be visited before node2\nnode 4 should be visited before node19\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 4 should be visited before node25\nnode 4 should be visited before node10\nnode 4 should be visited before node21\nnode 5 should be visited before node33\nnode 5 should be visited before node14\nnode 5 should be visited before node2\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 5 should be visited before node17\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node21\nnode 6 should be visited before node17\nnode 6 should be visited before node10\nnode 6 should be visited before node21\nnode 7 should be visited before node15\nnode 7 should be visited before node26\nnode 7 should be visited before node24\nnode 7 should be visited before node31\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 7 should be visited before node14\nnode 7 should be visited before node29\nnode 7 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node10\nnode 7 should be visited before node12\nnode 7 should be visited before node28\nnode 8 should be visited before node34\nnode 8 should be visited before node30\nnode 8 should be visited before node22\nnode 8 should be visited before node5\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node29\nnode 8 should be visited before node19\nnode 8 should be visited before node11\nnode 8 should be visited before node13\nnode 8 should be visited before node17\nnode 8 should be visited before node25\nnode 8 should be visited before node21\nnode 9 should be visited before node22\nnode 9 should be visited before node33\nnode 9 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node29\nnode 9 should be visited before node19\nnode 9 should be visited before node13\nnode 9 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node25\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 10 should be visited before node21\nnode 10 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node17\nnode 11 should be visited before node12\nnode 11 should be visited before node21\nnode 11 should be visited before node3\nnode 11 should be visited before node28\nnode 12 should be visited before node21\nnode 13 should be visited before node17\nnode 13 should be visited before node25\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 14 should be visited before node29\nnode 14 should be visited before node11\nnode 14 should be visited before node17\nnode 14 should be visited before node12\nnode 14 should be visited before node3\nnode 15 should be visited before node27\nnode 15 should be visited before node23\nnode 15 should be visited before node24\nnode 15 should be visited before node31\nnode 15 should be visited before node4\nnode 15 should be visited before node34\nnode 15 should be visited before node20\nnode 15 should be visited before node9\nnode 15 should be visited before node22\nnode 15 should be visited before node5\nnode 15 should be visited before node2\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 15 should be visited before node17\nnode 15 should be visited before node10\nnode 15 should be visited before node12\nnode 15 should be visited before node21\nnode 15 should be visited before node3\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 16 should be visited before node14\nnode 16 should be visited before node11\nnode 16 should be visited before node6\nnode 16 should be visited before node17\nnode 16 should be visited before node25\nnode 16 should be visited before node10\nnode 16 should be visited before node28\nnode 17 should be visited before node10\nnode 17 should be visited before node3\nnode 17 should be visited before node28\nnode 18 should be visited before node27\nnode 18 should be visited before node23\nnode 18 should be visited before node24\nnode 18 should be visited before node31\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node33\nnode 18 should be visited before node14\nnode 18 should be visited before node2\nnode 18 should be visited before node29\nnode 18 should be visited before node13\nnode 18 should be visited before node6\nnode 18 should be visited before node25\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node17\nnode 19 should be visited before node25\nnode 19 should be visited before node10\nnode 19 should be visited before node12\nnode 19 should be visited before node28\nnode 20 should be visited before node30\nnode 20 should be visited before node9\nnode 20 should be visited before node16\nnode 20 should be visited before node1\nnode 20 should be visited before node33\nnode 20 should be visited before node14\nnode 20 should be visited before node29\nnode 20 should be visited before node13\nnode 20 should be visited before node12\nnode 20 should be visited before node21\nnode 20 should be visited before node3\nnode 21 should be visited before node3\nnode 22 should be visited before node5\nnode 22 should be visited before node1\nnode 22 should be visited before node33\nnode 22 should be visited before node2\nnode 22 should be visited before node6\nnode 22 should be visited before node21\nnode 22 should be visited before node3\nnode 23 should be visited before node24\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node5\nnode 23 should be visited before node19\nnode 23 should be visited before node13\nnode 23 should be visited before node6\nnode 23 should be visited before node17\nnode 23 should be visited before node10\nnode 23 should be visited before node12\nnode 23 should be visited before node3\nnode 24 should be visited before node31\nnode 24 should be visited before node30\nnode 24 should be visited before node9\nnode 24 should be visited before node16\nnode 24 should be visited before node2\nnode 24 should be visited before node29\nnode 24 should be visited before node19\nnode 24 should be visited before node13\nnode 24 should be visited before node25\nnode 24 should be visited before node12\nnode 25 should be visited before node10\nnode 25 should be visited before node12\nnode 25 should be visited before node3\nnode 26 should be visited before node24\nnode 26 should be visited before node8\nnode 26 should be visited before node30\nnode 26 should be visited before node22\nnode 26 should be visited before node1\nnode 26 should be visited before node14\nnode 26 should be visited before node29\nnode 26 should be visited before node19\nnode 26 should be visited before node11\nnode 26 should be visited before node13\nnode 26 should be visited before node6\nnode 26 should be visited before node17\nnode 26 should be visited before node21\nnode 26 should be visited before node3\nnode 26 should be visited before node28\nnode 27 should be visited before node8\nnode 27 should be visited before node9\nnode 27 should be visited before node1\nnode 27 should be visited before node14\nnode 27 should be visited before node11\nnode 27 should be visited before node13\nnode 27 should be visited before node6\nnode 27 should be visited before node17\nnode 29 should be visited before node19\nnode 29 should be visited before node12\nnode 29 should be visited before node21\nnode 30 should be visited before node0\nnode 30 should be visited before node16\nnode 30 should be visited before node5\nnode 30 should be visited before node1\nnode 30 should be visited before node29\nnode 30 should be visited before node10\nnode 30 should be visited before node21\nnode 30 should be visited before node3\nnode 30 should be visited before node28\nnode 31 should be visited before node20\nnode 31 should be visited before node30\nnode 31 should be visited before node0\nnode 31 should be visited before node22\nnode 31 should be visited before node1\nnode 31 should be visited before node33\nnode 31 should be visited before node14\nnode 31 should be visited before node19\nnode 31 should be visited before node11\nnode 31 should be visited before node17\nnode 31 should be visited before node25\nnode 31 should be visited before node10\nnode 31 should be visited before node3\nnode 32 should be visited before node15\nnode 32 should be visited before node27\nnode 32 should be visited before node24\nnode 32 should be visited before node31\nnode 32 should be visited before node4\nnode 32 should be visited before node8\nnode 32 should be visited before node34\nnode 32 should be visited before node20\nnode 32 should be visited before node30\nnode 32 should be visited before node0\nnode 32 should be visited before node9\nnode 32 should be visited before node22\nnode 32 should be visited before node16\nnode 32 should be visited before node29\nnode 32 should be visited before node19\nnode 32 should be visited before node11\nnode 32 should be visited before node6\nnode 32 should be visited before node12\nnode 32 should be visited before node3\nnode 32 should be visited before node28\nnode 33 should be visited before node14\nnode 33 should be visited before node2\nnode 33 should be visited before node29\nnode 33 should be visited before node11\nnode 33 should be visited before node6\nnode 33 should be visited before node12\nnode 33 should be visited before node21\nnode 34 should be visited before node20\nnode 34 should be visited before node9\nnode 34 should be visited before node16\nnode 34 should be visited before node5\nnode 34 should be visited before node33\nnode 34 should be visited before node29\nnode 34 should be visited before node19\nnode 34 should be visited before node11\nnode 34 should be visited before node13\nnode 34 should be visited before node25\nnode 34 should be visited before node10\nnode 34 should be visited before node28\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,18,32,26,15,27,23,8,24,4,34,31,20,30,9,0,16,22,5,1,33,14,2,11,29,6,19,13,17,25,28,10,12,21,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph574",
        "image": "data/topology/graph_visual/hard/graph574.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node7\nnode 0 should be visited before node3\nnode 0 should be visited before node13\nnode 0 should be visited before node25\nnode 1 should be visited before node6\nnode 1 should be visited before node11\nnode 1 should be visited before node29\nnode 1 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 2 should be visited before node12\nnode 2 should be visited before node20\nnode 2 should be visited before node22\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node25\nnode 3 should be visited before node13\nnode 3 should be visited before node25\nnode 4 should be visited before node13\nnode 4 should be visited before node25\nnode 5 should be visited before node3\nnode 5 should be visited before node25\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 7 should be visited before node4\nnode 7 should be visited before node13\nnode 8 should be visited before node29\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node3\nnode 8 should be visited before node25\nnode 9 should be visited before node20\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node25\nnode 10 should be visited before node0\nnode 10 should be visited before node4\nnode 10 should be visited before node25\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 12 should be visited before node28\nnode 12 should be visited before node20\nnode 12 should be visited before node21\nnode 12 should be visited before node1\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node7\nnode 12 should be visited before node3\nnode 12 should be visited before node25\nnode 14 should be visited before node24\nnode 14 should be visited before node23\nnode 14 should be visited before node19\nnode 14 should be visited before node26\nnode 14 should be visited before node21\nnode 14 should be visited before node22\nnode 14 should be visited before node1\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node13\nnode 15 should be visited before node24\nnode 15 should be visited before node19\nnode 15 should be visited before node26\nnode 15 should be visited before node20\nnode 15 should be visited before node21\nnode 15 should be visited before node8\nnode 15 should be visited before node29\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node4\nnode 15 should be visited before node25\nnode 16 should be visited before node15\nnode 16 should be visited before node23\nnode 16 should be visited before node28\nnode 16 should be visited before node20\nnode 16 should be visited before node17\nnode 16 should be visited before node22\nnode 16 should be visited before node1\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node13\nnode 16 should be visited before node25\nnode 17 should be visited before node21\nnode 17 should be visited before node22\nnode 17 should be visited before node6\nnode 17 should be visited before node8\nnode 17 should be visited before node11\nnode 17 should be visited before node5\nnode 17 should be visited before node0\nnode 17 should be visited before node7\nnode 18 should be visited before node15\nnode 18 should be visited before node24\nnode 18 should be visited before node23\nnode 18 should be visited before node12\nnode 18 should be visited before node26\nnode 18 should be visited before node28\nnode 18 should be visited before node9\nnode 18 should be visited before node20\nnode 18 should be visited before node21\nnode 18 should be visited before node1\nnode 18 should be visited before node10\nnode 18 should be visited before node7\nnode 18 should be visited before node4\nnode 18 should be visited before node3\nnode 18 should be visited before node13\nnode 19 should be visited before node17\nnode 19 should be visited before node21\nnode 19 should be visited before node22\nnode 19 should be visited before node8\nnode 19 should be visited before node11\nnode 19 should be visited before node10\nnode 19 should be visited before node4\nnode 19 should be visited before node13\nnode 20 should be visited before node22\nnode 20 should be visited before node1\nnode 20 should be visited before node8\nnode 20 should be visited before node11\nnode 20 should be visited before node29\nnode 20 should be visited before node5\nnode 20 should be visited before node7\nnode 20 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node13\nnode 21 should be visited before node1\nnode 21 should be visited before node6\nnode 21 should be visited before node8\nnode 21 should be visited before node11\nnode 21 should be visited before node29\nnode 21 should be visited before node5\nnode 21 should be visited before node10\nnode 21 should be visited before node0\nnode 21 should be visited before node4\nnode 21 should be visited before node13\nnode 21 should be visited before node25\nnode 22 should be visited before node6\nnode 22 should be visited before node11\nnode 22 should be visited before node7\nnode 22 should be visited before node3\nnode 22 should be visited before node13\nnode 23 should be visited before node19\nnode 23 should be visited before node12\nnode 23 should be visited before node9\nnode 23 should be visited before node20\nnode 23 should be visited before node22\nnode 23 should be visited before node8\nnode 23 should be visited before node11\nnode 23 should be visited before node29\nnode 23 should be visited before node10\nnode 23 should be visited before node0\nnode 23 should be visited before node13\nnode 23 should be visited before node25\nnode 24 should be visited before node23\nnode 24 should be visited before node12\nnode 24 should be visited before node9\nnode 24 should be visited before node20\nnode 24 should be visited before node17\nnode 24 should be visited before node22\nnode 24 should be visited before node1\nnode 24 should be visited before node10\nnode 24 should be visited before node7\nnode 24 should be visited before node3\nnode 24 should be visited before node13\nnode 24 should be visited before node25\nnode 26 should be visited before node20\nnode 26 should be visited before node1\nnode 26 should be visited before node6\nnode 26 should be visited before node8\nnode 26 should be visited before node29\nnode 26 should be visited before node5\nnode 26 should be visited before node10\nnode 26 should be visited before node0\nnode 26 should be visited before node7\nnode 26 should be visited before node3\nnode 26 should be visited before node25\nnode 27 should be visited before node23\nnode 27 should be visited before node19\nnode 27 should be visited before node12\nnode 27 should be visited before node9\nnode 27 should be visited before node20\nnode 27 should be visited before node22\nnode 27 should be visited before node6\nnode 27 should be visited before node8\nnode 27 should be visited before node5\nnode 27 should be visited before node10\nnode 27 should be visited before node7\nnode 27 should be visited before node3\nnode 27 should be visited before node13\nnode 28 should be visited before node17\nnode 28 should be visited before node1\nnode 28 should be visited before node5\nnode 28 should be visited before node7\nnode 28 should be visited before node4\nnode 28 should be visited before node13\nnode 29 should be visited before node7\nnode 29 should be visited before node3\nnode 29 should be visited before node13\nnode 29 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,14,16,18,27,15,24,26,23,19,12,9,28,20,17,21,22,1,8,6,11,5,29,10,0,7,3,4,13,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph83",
        "image": "data/topology/graph_visual/hard/graph83.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 0 should be visited before node21\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 0 should be visited before node18\nnode 0 should be visited before node8\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 0 should be visited before node7\nnode 0 should be visited before node23\nnode 2 should be visited before node10\nnode 2 should be visited before node0\nnode 2 should be visited before node15\nnode 2 should be visited before node19\nnode 2 should be visited before node21\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node22\nnode 2 should be visited before node8\nnode 2 should be visited before node14\nnode 2 should be visited before node7\nnode 2 should be visited before node20\nnode 2 should be visited before node11\nnode 2 should be visited before node12\nnode 2 should be visited before node1\nnode 3 should be visited before node18\nnode 3 should be visited before node17\nnode 3 should be visited before node23\nnode 3 should be visited before node11\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node5\nnode 4 should be visited before node24\nnode 4 should be visited before node22\nnode 4 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 5 should be visited before node22\nnode 5 should be visited before node8\nnode 5 should be visited before node13\nnode 5 should be visited before node23\nnode 5 should be visited before node20\nnode 5 should be visited before node1\nnode 6 should be visited before node3\nnode 6 should be visited before node22\nnode 6 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node7\nnode 6 should be visited before node23\nnode 6 should be visited before node11\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 7 should be visited before node23\nnode 7 should be visited before node12\nnode 7 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node17\nnode 8 should be visited before node16\nnode 8 should be visited before node7\nnode 8 should be visited before node23\nnode 8 should be visited before node20\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 9 should be visited before node24\nnode 9 should be visited before node18\nnode 9 should be visited before node13\nnode 9 should be visited before node14\nnode 9 should be visited before node16\nnode 9 should be visited before node7\nnode 9 should be visited before node23\nnode 9 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node25\nnode 10 should be visited before node21\nnode 10 should be visited before node5\nnode 10 should be visited before node22\nnode 10 should be visited before node8\nnode 10 should be visited before node13\nnode 10 should be visited before node14\nnode 10 should be visited before node17\nnode 10 should be visited before node16\nnode 10 should be visited before node7\nnode 10 should be visited before node23\nnode 10 should be visited before node11\nnode 11 should be visited before node12\nnode 12 should be visited before node1\nnode 13 should be visited before node16\nnode 13 should be visited before node20\nnode 13 should be visited before node11\nnode 13 should be visited before node12\nnode 13 should be visited before node1\nnode 14 should be visited before node16\nnode 14 should be visited before node7\nnode 14 should be visited before node23\nnode 14 should be visited before node20\nnode 14 should be visited before node12\nnode 14 should be visited before node1\nnode 15 should be visited before node19\nnode 15 should be visited before node21\nnode 15 should be visited before node4\nnode 15 should be visited before node6\nnode 15 should be visited before node24\nnode 15 should be visited before node13\nnode 15 should be visited before node17\nnode 15 should be visited before node23\nnode 15 should be visited before node11\nnode 15 should be visited before node1\nnode 16 should be visited before node7\nnode 16 should be visited before node20\nnode 16 should be visited before node12\nnode 16 should be visited before node1\nnode 17 should be visited before node7\nnode 17 should be visited before node11\nnode 17 should be visited before node12\nnode 17 should be visited before node1\nnode 18 should be visited before node14\nnode 18 should be visited before node17\nnode 18 should be visited before node16\nnode 18 should be visited before node23\nnode 18 should be visited before node11\nnode 18 should be visited before node12\nnode 18 should be visited before node1\nnode 19 should be visited before node4\nnode 19 should be visited before node6\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node22\nnode 19 should be visited before node17\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node12\nnode 19 should be visited before node1\nnode 20 should be visited before node11\nnode 20 should be visited before node1\nnode 21 should be visited before node4\nnode 21 should be visited before node5\nnode 21 should be visited before node3\nnode 21 should be visited before node24\nnode 21 should be visited before node18\nnode 21 should be visited before node13\nnode 21 should be visited before node17\nnode 21 should be visited before node16\nnode 21 should be visited before node23\nnode 21 should be visited before node20\nnode 22 should be visited before node17\nnode 22 should be visited before node23\nnode 22 should be visited before node20\nnode 22 should be visited before node11\nnode 23 should be visited before node12\nnode 23 should be visited before node1\nnode 24 should be visited before node17\nnode 24 should be visited before node7\nnode 24 should be visited before node23\nnode 24 should be visited before node20\nnode 24 should be visited before node12\nnode 25 should be visited before node19\nnode 25 should be visited before node9\nnode 25 should be visited before node21\nnode 25 should be visited before node4\nnode 25 should be visited before node5\nnode 25 should be visited before node24\nnode 25 should be visited before node8\nnode 25 should be visited before node13\nnode 25 should be visited before node17\nnode 25 should be visited before node7\nnode 25 should be visited before node20\nnode 25 should be visited before node11\nnode 25 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,10,0,25,15,9,19,21,4,6,5,24,3,22,8,18,13,14,17,16,7,20,23,11,12,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph823",
        "image": "data/topology/graph_visual/hard/graph823.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node24\nnode 0 should be visited before node18\nnode 0 should be visited before node11\nnode 0 should be visited before node25\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node13\nnode 1 should be visited before node9\nnode 1 should be visited before node30\nnode 1 should be visited before node21\nnode 1 should be visited before node23\nnode 1 should be visited before node28\nnode 1 should be visited before node31\nnode 2 should be visited before node20\nnode 2 should be visited before node27\nnode 2 should be visited before node12\nnode 2 should be visited before node5\nnode 2 should be visited before node26\nnode 2 should be visited before node6\nnode 2 should be visited before node24\nnode 2 should be visited before node30\nnode 2 should be visited before node28\nnode 2 should be visited before node31\nnode 2 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node24\nnode 3 should be visited before node19\nnode 3 should be visited before node30\nnode 3 should be visited before node8\nnode 3 should be visited before node31\nnode 3 should be visited before node11\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 4 should be visited before node17\nnode 4 should be visited before node14\nnode 4 should be visited before node27\nnode 4 should be visited before node12\nnode 4 should be visited before node1\nnode 4 should be visited before node26\nnode 4 should be visited before node19\nnode 4 should be visited before node30\nnode 4 should be visited before node21\nnode 4 should be visited before node23\nnode 4 should be visited before node18\nnode 4 should be visited before node31\nnode 4 should be visited before node25\nnode 4 should be visited before node10\nnode 5 should be visited before node30\nnode 5 should be visited before node8\nnode 5 should be visited before node28\nnode 5 should be visited before node18\nnode 5 should be visited before node31\nnode 5 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node16\nnode 6 should be visited before node24\nnode 6 should be visited before node10\nnode 6 should be visited before node16\nnode 8 should be visited before node28\nnode 8 should be visited before node18\nnode 8 should be visited before node25\nnode 8 should be visited before node10\nnode 8 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node24\nnode 9 should be visited before node19\nnode 9 should be visited before node30\nnode 9 should be visited before node21\nnode 9 should be visited before node28\nnode 9 should be visited before node31\nnode 9 should be visited before node10\nnode 9 should be visited before node16\nnode 10 should be visited before node7\nnode 11 should be visited before node10\nnode 11 should be visited before node7\nnode 12 should be visited before node3\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 12 should be visited before node19\nnode 12 should be visited before node30\nnode 12 should be visited before node21\nnode 12 should be visited before node23\nnode 12 should be visited before node8\nnode 12 should be visited before node18\nnode 12 should be visited before node25\nnode 12 should be visited before node16\nnode 13 should be visited before node0\nnode 13 should be visited before node24\nnode 13 should be visited before node21\nnode 13 should be visited before node23\nnode 13 should be visited before node28\nnode 13 should be visited before node18\nnode 13 should be visited before node31\nnode 13 should be visited before node11\nnode 13 should be visited before node25\nnode 13 should be visited before node7\nnode 14 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node0\nnode 14 should be visited before node19\nnode 14 should be visited before node21\nnode 14 should be visited before node23\nnode 14 should be visited before node8\nnode 14 should be visited before node28\nnode 14 should be visited before node31\nnode 14 should be visited before node25\nnode 15 should be visited before node2\nnode 15 should be visited before node14\nnode 15 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node9\nnode 15 should be visited before node6\nnode 15 should be visited before node24\nnode 15 should be visited before node23\nnode 15 should be visited before node28\nnode 15 should be visited before node31\nnode 15 should be visited before node11\nnode 15 should be visited before node25\nnode 15 should be visited before node16\nnode 17 should be visited before node14\nnode 17 should be visited before node6\nnode 17 should be visited before node0\nnode 17 should be visited before node24\nnode 17 should be visited before node8\nnode 17 should be visited before node18\nnode 17 should be visited before node31\nnode 17 should be visited before node11\nnode 17 should be visited before node25\nnode 18 should be visited before node31\nnode 18 should be visited before node25\nnode 18 should be visited before node16\nnode 19 should be visited before node21\nnode 19 should be visited before node8\nnode 19 should be visited before node28\nnode 19 should be visited before node11\nnode 19 should be visited before node25\nnode 20 should be visited before node17\nnode 20 should be visited before node14\nnode 20 should be visited before node27\nnode 20 should be visited before node3\nnode 20 should be visited before node13\nnode 20 should be visited before node5\nnode 20 should be visited before node26\nnode 20 should be visited before node9\nnode 20 should be visited before node19\nnode 20 should be visited before node21\nnode 20 should be visited before node28\nnode 20 should be visited before node18\nnode 20 should be visited before node25\nnode 20 should be visited before node16\nnode 21 should be visited before node28\nnode 21 should be visited before node25\nnode 22 should be visited before node4\nnode 22 should be visited before node29\nnode 22 should be visited before node15\nnode 22 should be visited before node20\nnode 22 should be visited before node14\nnode 22 should be visited before node1\nnode 22 should be visited before node3\nnode 22 should be visited before node13\nnode 22 should be visited before node5\nnode 22 should be visited before node26\nnode 22 should be visited before node9\nnode 22 should be visited before node6\nnode 22 should be visited before node19\nnode 22 should be visited before node8\nnode 22 should be visited before node25\nnode 22 should be visited before node7\nnode 22 should be visited before node16\nnode 23 should be visited before node28\nnode 23 should be visited before node10\nnode 23 should be visited before node7\nnode 24 should be visited before node30\nnode 24 should be visited before node11\nnode 24 should be visited before node10\nnode 24 should be visited before node7\nnode 24 should be visited before node16\nnode 26 should be visited before node9\nnode 26 should be visited before node6\nnode 26 should be visited before node19\nnode 26 should be visited before node21\nnode 26 should be visited before node23\nnode 26 should be visited before node8\nnode 26 should be visited before node18\nnode 26 should be visited before node31\nnode 26 should be visited before node11\nnode 26 should be visited before node7\nnode 26 should be visited before node16\nnode 27 should be visited before node3\nnode 27 should be visited before node13\nnode 27 should be visited before node5\nnode 27 should be visited before node9\nnode 27 should be visited before node6\nnode 27 should be visited before node24\nnode 27 should be visited before node30\nnode 27 should be visited before node21\nnode 27 should be visited before node18\nnode 27 should be visited before node11\nnode 27 should be visited before node25\nnode 28 should be visited before node18\nnode 28 should be visited before node31\nnode 28 should be visited before node11\nnode 28 should be visited before node10\nnode 28 should be visited before node7\nnode 28 should be visited before node16\nnode 29 should be visited before node14\nnode 29 should be visited before node27\nnode 29 should be visited before node12\nnode 29 should be visited before node1\nnode 29 should be visited before node13\nnode 29 should be visited before node26\nnode 29 should be visited before node9\nnode 29 should be visited before node6\nnode 29 should be visited before node8\nnode 29 should be visited before node18\nnode 29 should be visited before node31\nnode 29 should be visited before node11\nnode 29 should be visited before node10\nnode 29 should be visited before node7\nnode 29 should be visited before node16\nnode 30 should be visited before node23\nnode 30 should be visited before node8\nnode 30 should be visited before node28\nnode 30 should be visited before node11\nnode 30 should be visited before node10\nnode 30 should be visited before node16\nnode 31 should be visited before node25\nnode 31 should be visited before node10\nnode 31 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "22,4,29,15,2,1,20,17,27,26,14,13,12,3,5,9,6,0,19,24,21,30,23,8,28,18,11,31,25,10,16,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph1144",
        "image": "data/topology/graph_visual/hard/graph1144.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node16\nnode 0 should be visited before node5\nnode 0 should be visited before node9\nnode 0 should be visited before node15\nnode 0 should be visited before node11\nnode 1 should be visited before node12\nnode 1 should be visited before node14\nnode 1 should be visited before node9\nnode 1 should be visited before node15\nnode 1 should be visited before node21\nnode 1 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node17\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node16\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node15\nnode 2 should be visited before node30\nnode 3 should be visited before node10\nnode 3 should be visited before node33\nnode 3 should be visited before node34\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node16\nnode 3 should be visited before node21\nnode 3 should be visited before node27\nnode 3 should be visited before node11\nnode 3 should be visited before node24\nnode 4 should be visited before node19\nnode 4 should be visited before node20\nnode 4 should be visited before node23\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node28\nnode 4 should be visited before node25\nnode 4 should be visited before node34\nnode 4 should be visited before node7\nnode 4 should be visited before node14\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 4 should be visited before node15\nnode 4 should be visited before node30\nnode 4 should be visited before node27\nnode 4 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node27\nnode 5 should be visited before node11\nnode 5 should be visited before node24\nnode 6 should be visited before node18\nnode 6 should be visited before node26\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node29\nnode 6 should be visited before node20\nnode 6 should be visited before node32\nnode 6 should be visited before node3\nnode 6 should be visited before node25\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node5\nnode 6 should be visited before node9\nnode 6 should be visited before node15\nnode 6 should be visited before node30\nnode 6 should be visited before node21\nnode 6 should be visited before node27\nnode 7 should be visited before node16\nnode 7 should be visited before node15\nnode 7 should be visited before node30\nnode 7 should be visited before node21\nnode 7 should be visited before node27\nnode 7 should be visited before node11\nnode 7 should be visited before node24\nnode 8 should be visited before node28\nnode 8 should be visited before node13\nnode 8 should be visited before node25\nnode 8 should be visited before node34\nnode 8 should be visited before node12\nnode 8 should be visited before node14\nnode 8 should be visited before node9\nnode 8 should be visited before node21\nnode 8 should be visited before node27\nnode 8 should be visited before node24\nnode 9 should be visited before node30\nnode 9 should be visited before node21\nnode 10 should be visited before node17\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node30\nnode 10 should be visited before node21\nnode 10 should be visited before node11\nnode 11 should be visited before node24\nnode 12 should be visited before node0\nnode 12 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node15\nnode 12 should be visited before node27\nnode 12 should be visited before node11\nnode 13 should be visited before node10\nnode 13 should be visited before node17\nnode 13 should be visited before node12\nnode 13 should be visited before node7\nnode 13 should be visited before node14\nnode 13 should be visited before node16\nnode 13 should be visited before node5\nnode 13 should be visited before node9\nnode 13 should be visited before node15\nnode 13 should be visited before node30\nnode 13 should be visited before node21\nnode 13 should be visited before node27\nnode 14 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node15\nnode 14 should be visited before node21\nnode 14 should be visited before node24\nnode 15 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node27\nnode 16 should be visited before node24\nnode 17 should be visited before node1\nnode 17 should be visited before node7\nnode 17 should be visited before node9\nnode 17 should be visited before node15\nnode 17 should be visited before node21\nnode 17 should be visited before node27\nnode 17 should be visited before node11\nnode 17 should be visited before node24\nnode 18 should be visited before node26\nnode 18 should be visited before node4\nnode 18 should be visited before node2\nnode 18 should be visited before node29\nnode 18 should be visited before node20\nnode 18 should be visited before node32\nnode 18 should be visited before node3\nnode 18 should be visited before node17\nnode 18 should be visited before node33\nnode 18 should be visited before node25\nnode 18 should be visited before node12\nnode 18 should be visited before node0\nnode 18 should be visited before node16\nnode 18 should be visited before node5\nnode 18 should be visited before node9\nnode 18 should be visited before node27\nnode 18 should be visited before node11\nnode 18 should be visited before node24\nnode 19 should be visited before node32\nnode 19 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node10\nnode 19 should be visited before node33\nnode 19 should be visited before node34\nnode 19 should be visited before node5\nnode 19 should be visited before node15\nnode 19 should be visited before node30\nnode 20 should be visited before node32\nnode 20 should be visited before node3\nnode 20 should be visited before node28\nnode 20 should be visited before node13\nnode 20 should be visited before node10\nnode 20 should be visited before node17\nnode 20 should be visited before node33\nnode 20 should be visited before node25\nnode 20 should be visited before node12\nnode 20 should be visited before node0\nnode 20 should be visited before node7\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 20 should be visited before node27\nnode 20 should be visited before node11\nnode 20 should be visited before node24\nnode 21 should be visited before node24\nnode 22 should be visited before node31\nnode 22 should be visited before node6\nnode 22 should be visited before node2\nnode 22 should be visited before node29\nnode 22 should be visited before node20\nnode 22 should be visited before node32\nnode 22 should be visited before node10\nnode 22 should be visited before node1\nnode 22 should be visited before node12\nnode 22 should be visited before node0\nnode 22 should be visited before node7\nnode 22 should be visited before node14\nnode 22 should be visited before node16\nnode 22 should be visited before node9\nnode 22 should be visited before node15\nnode 22 should be visited before node21\nnode 22 should be visited before node11\nnode 23 should be visited before node3\nnode 23 should be visited before node10\nnode 23 should be visited before node1\nnode 23 should be visited before node12\nnode 23 should be visited before node14\nnode 23 should be visited before node9\nnode 23 should be visited before node15\nnode 25 should be visited before node34\nnode 25 should be visited before node12\nnode 25 should be visited before node0\nnode 25 should be visited before node7\nnode 25 should be visited before node16\nnode 25 should be visited before node5\nnode 25 should be visited before node15\nnode 26 should be visited before node20\nnode 26 should be visited before node13\nnode 26 should be visited before node25\nnode 26 should be visited before node34\nnode 26 should be visited before node0\nnode 26 should be visited before node14\nnode 26 should be visited before node16\nnode 26 should be visited before node5\nnode 26 should be visited before node9\nnode 26 should be visited before node27\nnode 26 should be visited before node11\nnode 26 should be visited before node24\nnode 27 should be visited before node24\nnode 28 should be visited before node13\nnode 28 should be visited before node10\nnode 28 should be visited before node33\nnode 28 should be visited before node1\nnode 28 should be visited before node0\nnode 28 should be visited before node7\nnode 28 should be visited before node5\nnode 28 should be visited before node30\nnode 28 should be visited before node27\nnode 28 should be visited before node11\nnode 28 should be visited before node24\nnode 29 should be visited before node33\nnode 29 should be visited before node25\nnode 29 should be visited before node34\nnode 29 should be visited before node0\nnode 29 should be visited before node7\nnode 29 should be visited before node9\nnode 29 should be visited before node21\nnode 29 should be visited before node24\nnode 30 should be visited before node21\nnode 30 should be visited before node11\nnode 30 should be visited before node24\nnode 31 should be visited before node6\nnode 31 should be visited before node18\nnode 31 should be visited before node4\nnode 31 should be visited before node2\nnode 31 should be visited before node29\nnode 31 should be visited before node23\nnode 31 should be visited before node8\nnode 31 should be visited before node32\nnode 31 should be visited before node3\nnode 31 should be visited before node28\nnode 31 should be visited before node10\nnode 31 should be visited before node25\nnode 31 should be visited before node1\nnode 31 should be visited before node12\nnode 31 should be visited before node14\nnode 31 should be visited before node16\nnode 31 should be visited before node5\nnode 31 should be visited before node9\nnode 31 should be visited before node30\nnode 31 should be visited before node11\nnode 31 should be visited before node24\nnode 32 should be visited before node28\nnode 32 should be visited before node13\nnode 32 should be visited before node10\nnode 32 should be visited before node17\nnode 32 should be visited before node33\nnode 32 should be visited before node1\nnode 32 should be visited before node14\nnode 32 should be visited before node15\nnode 33 should be visited before node25\nnode 33 should be visited before node1\nnode 33 should be visited before node7\nnode 33 should be visited before node14\nnode 33 should be visited before node16\nnode 33 should be visited before node9\nnode 33 should be visited before node30\nnode 33 should be visited before node21\nnode 33 should be visited before node24\nnode 34 should be visited before node1\nnode 34 should be visited before node12\nnode 34 should be visited before node5\nnode 34 should be visited before node30\nnode 34 should be visited before node21\nnode 34 should be visited before node27\nnode 34 should be visited before node11\nnode 34 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "22,31,6,18,26,4,2,29,19,20,23,8,32,3,28,13,33,10,25,17,34,1,12,14,0,7,5,16,15,9,27,30,21,11,24."
            }
        ]
    },
    {
        "id": "topology-hard-graph198",
        "image": "data/topology/graph_visual/hard/graph198.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node5\nnode 0 should be visited before node17\nnode 0 should be visited before node4\nnode 0 should be visited before node16\nnode 0 should be visited before node13\nnode 0 should be visited before node18\nnode 0 should be visited before node22\nnode 0 should be visited before node25\nnode 0 should be visited before node21\nnode 0 should be visited before node24\nnode 0 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node11\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node20\nnode 1 should be visited before node4\nnode 1 should be visited before node13\nnode 1 should be visited before node12\nnode 1 should be visited before node15\nnode 1 should be visited before node25\nnode 1 should be visited before node24\nnode 1 should be visited before node2\nnode 3 should be visited before node21\nnode 3 should be visited before node24\nnode 3 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node18\nnode 4 should be visited before node19\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node22\nnode 4 should be visited before node24\nnode 4 should be visited before node8\nnode 4 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node17\nnode 5 should be visited before node9\nnode 5 should be visited before node26\nnode 5 should be visited before node20\nnode 5 should be visited before node4\nnode 5 should be visited before node18\nnode 5 should be visited before node12\nnode 5 should be visited before node24\nnode 5 should be visited before node2\nnode 6 should be visited before node1\nnode 6 should be visited before node23\nnode 6 should be visited before node5\nnode 6 should be visited before node10\nnode 6 should be visited before node26\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node3\nnode 6 should be visited before node15\nnode 6 should be visited before node24\nnode 6 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node26\nnode 7 should be visited before node20\nnode 7 should be visited before node16\nnode 7 should be visited before node18\nnode 7 should be visited before node19\nnode 7 should be visited before node3\nnode 7 should be visited before node22\nnode 7 should be visited before node25\nnode 7 should be visited before node8\nnode 8 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node22\nnode 9 should be visited before node25\nnode 9 should be visited before node21\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 10 should be visited before node26\nnode 10 should be visited before node20\nnode 10 should be visited before node18\nnode 10 should be visited before node19\nnode 10 should be visited before node12\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node26\nnode 11 should be visited before node20\nnode 11 should be visited before node16\nnode 11 should be visited before node13\nnode 11 should be visited before node18\nnode 11 should be visited before node12\nnode 11 should be visited before node3\nnode 11 should be visited before node22\nnode 11 should be visited before node21\nnode 11 should be visited before node24\nnode 11 should be visited before node8\nnode 11 should be visited before node2\nnode 12 should be visited before node15\nnode 12 should be visited before node25\nnode 12 should be visited before node24\nnode 13 should be visited before node19\nnode 13 should be visited before node15\nnode 13 should be visited before node22\nnode 13 should be visited before node24\nnode 13 should be visited before node2\nnode 14 should be visited before node6\nnode 14 should be visited before node23\nnode 14 should be visited before node0\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node5\nnode 14 should be visited before node20\nnode 14 should be visited before node13\nnode 14 should be visited before node12\nnode 14 should be visited before node15\nnode 14 should be visited before node22\nnode 14 should be visited before node25\nnode 14 should be visited before node21\nnode 14 should be visited before node2\nnode 15 should be visited before node21\nnode 15 should be visited before node24\nnode 15 should be visited before node8\nnode 15 should be visited before node2\nnode 16 should be visited before node13\nnode 16 should be visited before node19\nnode 16 should be visited before node25\nnode 16 should be visited before node21\nnode 16 should be visited before node8\nnode 16 should be visited before node2\nnode 17 should be visited before node9\nnode 17 should be visited before node26\nnode 17 should be visited before node4\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node12\nnode 17 should be visited before node3\nnode 17 should be visited before node21\nnode 18 should be visited before node12\nnode 18 should be visited before node3\nnode 18 should be visited before node15\nnode 18 should be visited before node21\nnode 18 should be visited before node24\nnode 18 should be visited before node8\nnode 19 should be visited before node12\nnode 19 should be visited before node15\nnode 19 should be visited before node8\nnode 19 should be visited before node2\nnode 20 should be visited before node3\nnode 20 should be visited before node15\nnode 20 should be visited before node22\nnode 20 should be visited before node25\nnode 20 should be visited before node21\nnode 20 should be visited before node2\nnode 21 should be visited before node24\nnode 22 should be visited before node24\nnode 23 should be visited before node11\nnode 23 should be visited before node7\nnode 23 should be visited before node5\nnode 23 should be visited before node17\nnode 23 should be visited before node9\nnode 23 should be visited before node26\nnode 23 should be visited before node4\nnode 23 should be visited before node16\nnode 23 should be visited before node18\nnode 23 should be visited before node19\nnode 23 should be visited before node12\nnode 23 should be visited before node3\nnode 23 should be visited before node15\nnode 23 should be visited before node22\nnode 23 should be visited before node24\nnode 23 should be visited before node8\nnode 23 should be visited before node2\nnode 24 should be visited before node2\nnode 25 should be visited before node21\nnode 25 should be visited before node24\nnode 26 should be visited before node20\nnode 26 should be visited before node16\nnode 26 should be visited before node18\nnode 26 should be visited before node12\nnode 26 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,6,1,23,0,11,7,5,10,17,9,26,4,20,16,18,13,3,19,22,12,15,25,8,21,24,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph252",
        "image": "data/topology/graph_visual/hard/graph252.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node22\nnode 0 should be visited before node1\nnode 2 should be visited before node11\nnode 2 should be visited before node18\nnode 2 should be visited before node24\nnode 2 should be visited before node5\nnode 2 should be visited before node22\nnode 3 should be visited before node23\nnode 3 should be visited before node26\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node24\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 3 should be visited before node17\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 4 should be visited before node7\nnode 4 should be visited before node12\nnode 4 should be visited before node18\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node17\nnode 4 should be visited before node0\nnode 5 should be visited before node15\nnode 6 should be visited before node2\nnode 6 should be visited before node13\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 6 should be visited before node22\nnode 7 should be visited before node18\nnode 7 should be visited before node15\nnode 7 should be visited before node16\nnode 8 should be visited before node19\nnode 8 should be visited before node24\nnode 8 should be visited before node13\nnode 8 should be visited before node16\nnode 8 should be visited before node17\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 9 should be visited before node21\nnode 9 should be visited before node1\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node12\nnode 10 should be visited before node18\nnode 10 should be visited before node15\nnode 10 should be visited before node17\nnode 10 should be visited before node22\nnode 11 should be visited before node8\nnode 11 should be visited before node18\nnode 11 should be visited before node24\nnode 12 should be visited before node24\nnode 12 should be visited before node15\nnode 12 should be visited before node9\nnode 13 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node8\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node13\nnode 14 should be visited before node16\nnode 14 should be visited before node17\nnode 14 should be visited before node0\nnode 14 should be visited before node22\nnode 15 should be visited before node13\nnode 15 should be visited before node17\nnode 16 should be visited before node17\nnode 16 should be visited before node1\nnode 17 should be visited before node21\nnode 18 should be visited before node15\nnode 18 should be visited before node9\nnode 18 should be visited before node21\nnode 19 should be visited before node18\nnode 19 should be visited before node16\nnode 19 should be visited before node0\nnode 19 should be visited before node1\nnode 20 should be visited before node2\nnode 20 should be visited before node11\nnode 20 should be visited before node4\nnode 20 should be visited before node7\nnode 20 should be visited before node18\nnode 20 should be visited before node24\nnode 20 should be visited before node15\nnode 20 should be visited before node13\nnode 20 should be visited before node9\nnode 20 should be visited before node0\nnode 20 should be visited before node22\nnode 21 should be visited before node1\nnode 22 should be visited before node21\nnode 23 should be visited before node11\nnode 23 should be visited before node7\nnode 23 should be visited before node21\nnode 23 should be visited before node1\nnode 24 should be visited before node17\nnode 24 should be visited before node1\nnode 25 should be visited before node2\nnode 25 should be visited before node12\nnode 25 should be visited before node24\nnode 25 should be visited before node13\nnode 25 should be visited before node22\nnode 25 should be visited before node1\nnode 26 should be visited before node6\nnode 26 should be visited before node10\nnode 26 should be visited before node25\nnode 26 should be visited before node2\nnode 26 should be visited before node11\nnode 26 should be visited before node4\nnode 26 should be visited before node7\nnode 26 should be visited before node18\nnode 26 should be visited before node5\nnode 26 should be visited before node16\nnode 26 should be visited before node9\nnode 26 should be visited before node0\nnode 27 should be visited before node14\nnode 27 should be visited before node25\nnode 27 should be visited before node2\nnode 27 should be visited before node7\nnode 27 should be visited before node24\nnode 27 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,20,27,23,26,14,6,25,4,10,2,7,12,11,5,8,19,24,18,0,15,9,22,13,16,17,21,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph855",
        "image": "data/topology/graph_visual/hard/graph855.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node26\nnode 0 should be visited before node9\nnode 0 should be visited before node30\nnode 0 should be visited before node8\nnode 0 should be visited before node5\nnode 1 should be visited before node22\nnode 1 should be visited before node20\nnode 2 should be visited before node24\nnode 2 should be visited before node9\nnode 2 should be visited before node20\nnode 2 should be visited before node6\nnode 3 should be visited before node10\nnode 3 should be visited before node26\nnode 3 should be visited before node31\nnode 3 should be visited before node8\nnode 3 should be visited before node7\nnode 4 should be visited before node32\nnode 4 should be visited before node10\nnode 4 should be visited before node14\nnode 4 should be visited before node26\nnode 4 should be visited before node9\nnode 4 should be visited before node22\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 5 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node6\nnode 8 should be visited before node7\nnode 8 should be visited before node6\nnode 9 should be visited before node31\nnode 9 should be visited before node8\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node24\nnode 10 should be visited before node22\nnode 10 should be visited before node5\nnode 11 should be visited before node6\nnode 12 should be visited before node31\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 13 should be visited before node4\nnode 13 should be visited before node10\nnode 13 should be visited before node24\nnode 13 should be visited before node22\nnode 14 should be visited before node0\nnode 14 should be visited before node9\nnode 14 should be visited before node5\nnode 15 should be visited before node19\nnode 15 should be visited before node30\nnode 15 should be visited before node7\nnode 15 should be visited before node20\nnode 16 should be visited before node21\nnode 16 should be visited before node15\nnode 16 should be visited before node31\nnode 16 should be visited before node19\nnode 16 should be visited before node8\nnode 16 should be visited before node20\nnode 16 should be visited before node5\nnode 16 should be visited before node6\nnode 17 should be visited before node23\nnode 17 should be visited before node3\nnode 17 should be visited before node16\nnode 17 should be visited before node21\nnode 17 should be visited before node24\nnode 17 should be visited before node19\nnode 17 should be visited before node5\nnode 17 should be visited before node6\nnode 18 should be visited before node29\nnode 18 should be visited before node2\nnode 18 should be visited before node4\nnode 18 should be visited before node15\nnode 18 should be visited before node24\nnode 18 should be visited before node31\nnode 18 should be visited before node19\nnode 18 should be visited before node22\nnode 18 should be visited before node8\nnode 18 should be visited before node5\nnode 19 should be visited before node30\nnode 19 should be visited before node11\nnode 19 should be visited before node6\nnode 20 should be visited before node5\nnode 21 should be visited before node13\nnode 21 should be visited before node4\nnode 21 should be visited before node15\nnode 21 should be visited before node14\nnode 21 should be visited before node0\nnode 21 should be visited before node26\nnode 21 should be visited before node19\nnode 21 should be visited before node20\nnode 22 should be visited before node8\nnode 22 should be visited before node7\nnode 23 should be visited before node21\nnode 23 should be visited before node13\nnode 23 should be visited before node4\nnode 23 should be visited before node32\nnode 23 should be visited before node12\nnode 23 should be visited before node10\nnode 23 should be visited before node1\nnode 23 should be visited before node26\nnode 23 should be visited before node31\nnode 23 should be visited before node30\nnode 23 should be visited before node8\nnode 23 should be visited before node7\nnode 23 should be visited before node11\nnode 24 should be visited before node19\nnode 24 should be visited before node22\nnode 24 should be visited before node5\nnode 25 should be visited before node28\nnode 25 should be visited before node18\nnode 25 should be visited before node23\nnode 25 should be visited before node16\nnode 25 should be visited before node21\nnode 25 should be visited before node12\nnode 25 should be visited before node10\nnode 25 should be visited before node14\nnode 25 should be visited before node9\nnode 25 should be visited before node19\nnode 25 should be visited before node20\nnode 26 should be visited before node24\nnode 26 should be visited before node30\nnode 26 should be visited before node11\nnode 26 should be visited before node20\nnode 27 should be visited before node17\nnode 27 should be visited before node2\nnode 27 should be visited before node16\nnode 27 should be visited before node13\nnode 27 should be visited before node10\nnode 27 should be visited before node15\nnode 27 should be visited before node14\nnode 27 should be visited before node1\nnode 27 should be visited before node9\nnode 27 should be visited before node30\nnode 28 should be visited before node13\nnode 28 should be visited before node12\nnode 28 should be visited before node14\nnode 28 should be visited before node1\nnode 28 should be visited before node9\nnode 28 should be visited before node31\nnode 29 should be visited before node27\nnode 29 should be visited before node3\nnode 29 should be visited before node16\nnode 29 should be visited before node24\nnode 29 should be visited before node9\nnode 29 should be visited before node30\nnode 29 should be visited before node8\nnode 29 should be visited before node6\nnode 31 should be visited before node8\nnode 31 should be visited before node11\nnode 31 should be visited before node20\nnode 31 should be visited before node5\nnode 31 should be visited before node6\nnode 32 should be visited before node12\nnode 32 should be visited before node1\nnode 32 should be visited before node9\nnode 32 should be visited before node31\nnode 32 should be visited before node30\nnode 32 should be visited before node22\nnode 32 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "25,28,18,29,27,17,2,23,3,16,21,13,15,4,32,10,12,1,14,0,26,9,24,31,19,22,20,30,11,8,7,5,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph650",
        "image": "data/topology/graph_visual/hard/graph650.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node12\nnode 0 should be visited before node26\nnode 0 should be visited before node3\nnode 0 should be visited before node11\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 0 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node22\nnode 1 should be visited before node28\nnode 1 should be visited before node16\nnode 1 should be visited before node5\nnode 1 should be visited before node27\nnode 2 should be visited before node21\nnode 2 should be visited before node6\nnode 2 should be visited before node29\nnode 3 should be visited before node11\nnode 3 should be visited before node18\nnode 3 should be visited before node9\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 4 should be visited before node8\nnode 5 should be visited before node17\nnode 5 should be visited before node27\nnode 5 should be visited before node29\nnode 6 should be visited before node24\nnode 6 should be visited before node3\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 6 should be visited before node8\nnode 7 should be visited before node14\nnode 7 should be visited before node26\nnode 7 should be visited before node20\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node11\nnode 7 should be visited before node18\nnode 7 should be visited before node16\nnode 10 should be visited before node13\nnode 10 should be visited before node23\nnode 10 should be visited before node15\nnode 10 should be visited before node0\nnode 10 should be visited before node14\nnode 10 should be visited before node6\nnode 10 should be visited before node30\nnode 10 should be visited before node24\nnode 10 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node27\nnode 10 should be visited before node9\nnode 10 should be visited before node29\nnode 11 should be visited before node5\nnode 12 should be visited before node22\nnode 12 should be visited before node11\nnode 12 should be visited before node28\nnode 12 should be visited before node9\nnode 12 should be visited before node29\nnode 13 should be visited before node0\nnode 13 should be visited before node14\nnode 13 should be visited before node24\nnode 13 should be visited before node11\nnode 13 should be visited before node9\nnode 14 should be visited before node3\nnode 14 should be visited before node18\nnode 14 should be visited before node16\nnode 14 should be visited before node4\nnode 14 should be visited before node17\nnode 14 should be visited before node27\nnode 14 should be visited before node29\nnode 15 should be visited before node2\nnode 15 should be visited before node12\nnode 15 should be visited before node26\nnode 15 should be visited before node20\nnode 15 should be visited before node3\nnode 15 should be visited before node16\nnode 15 should be visited before node4\nnode 15 should be visited before node17\nnode 16 should be visited before node8\nnode 17 should be visited before node27\nnode 17 should be visited before node29\nnode 18 should be visited before node5\nnode 18 should be visited before node17\nnode 18 should be visited before node9\nnode 19 should be visited before node15\nnode 19 should be visited before node0\nnode 19 should be visited before node7\nnode 19 should be visited before node24\nnode 19 should be visited before node3\nnode 19 should be visited before node28\nnode 19 should be visited before node18\nnode 19 should be visited before node5\nnode 19 should be visited before node17\nnode 19 should be visited before node29\nnode 20 should be visited before node11\nnode 20 should be visited before node4\nnode 20 should be visited before node17\nnode 20 should be visited before node27\nnode 20 should be visited before node29\nnode 21 should be visited before node16\nnode 21 should be visited before node5\nnode 21 should be visited before node9\nnode 22 should be visited before node4\nnode 23 should be visited before node20\nnode 23 should be visited before node22\nnode 23 should be visited before node24\nnode 23 should be visited before node16\nnode 23 should be visited before node27\nnode 23 should be visited before node9\nnode 23 should be visited before node29\nnode 23 should be visited before node8\nnode 24 should be visited before node5\nnode 24 should be visited before node17\nnode 24 should be visited before node29\nnode 24 should be visited before node8\nnode 25 should be visited before node13\nnode 25 should be visited before node12\nnode 25 should be visited before node21\nnode 25 should be visited before node6\nnode 25 should be visited before node30\nnode 25 should be visited before node22\nnode 25 should be visited before node18\nnode 25 should be visited before node17\nnode 26 should be visited before node3\nnode 26 should be visited before node11\nnode 26 should be visited before node16\nnode 26 should be visited before node17\nnode 26 should be visited before node8\nnode 28 should be visited before node16\nnode 28 should be visited before node4\nnode 28 should be visited before node17\nnode 29 should be visited before node8\nnode 30 should be visited before node24\nnode 30 should be visited before node11\nnode 30 should be visited before node28\nnode 30 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,10,19,25,23,15,7,13,30,2,20,0,14,21,6,12,26,24,22,28,3,16,4,11,18,5,9,17,27,29,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph294",
        "image": "data/topology/graph_visual/hard/graph294.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 0 should be visited before node18\nnode 1 should be visited before node23\nnode 1 should be visited before node22\nnode 1 should be visited before node25\nnode 1 should be visited before node12\nnode 1 should be visited before node6\nnode 1 should be visited before node9\nnode 1 should be visited before node14\nnode 1 should be visited before node21\nnode 1 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node17\nnode 2 should be visited before node5\nnode 3 should be visited before node14\nnode 3 should be visited before node19\nnode 4 should be visited before node7\nnode 5 should be visited before node13\nnode 5 should be visited before node14\nnode 5 should be visited before node4\nnode 5 should be visited before node21\nnode 6 should be visited before node14\nnode 6 should be visited before node15\nnode 6 should be visited before node21\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 8 should be visited before node22\nnode 8 should be visited before node5\nnode 8 should be visited before node12\nnode 8 should be visited before node11\nnode 8 should be visited before node15\nnode 8 should be visited before node19\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 10 should be visited before node17\nnode 10 should be visited before node3\nnode 10 should be visited before node5\nnode 10 should be visited before node24\nnode 10 should be visited before node6\nnode 10 should be visited before node21\nnode 10 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 11 should be visited before node15\nnode 12 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node19\nnode 13 should be visited before node21\nnode 14 should be visited before node15\nnode 14 should be visited before node4\nnode 16 should be visited before node27\nnode 16 should be visited before node11\nnode 16 should be visited before node14\nnode 17 should be visited before node20\nnode 17 should be visited before node0\nnode 17 should be visited before node15\nnode 20 should be visited before node5\nnode 20 should be visited before node7\nnode 20 should be visited before node21\nnode 20 should be visited before node18\nnode 22 should be visited before node12\nnode 22 should be visited before node13\nnode 22 should be visited before node6\nnode 22 should be visited before node9\nnode 22 should be visited before node15\nnode 22 should be visited before node19\nnode 23 should be visited before node16\nnode 23 should be visited before node17\nnode 23 should be visited before node22\nnode 23 should be visited before node25\nnode 23 should be visited before node12\nnode 23 should be visited before node11\nnode 23 should be visited before node13\nnode 23 should be visited before node7\nnode 23 should be visited before node18\nnode 24 should be visited before node12\nnode 24 should be visited before node0\nnode 24 should be visited before node9\nnode 24 should be visited before node4\nnode 24 should be visited before node21\nnode 25 should be visited before node13\nnode 25 should be visited before node9\nnode 26 should be visited before node23\nnode 26 should be visited before node27\nnode 26 should be visited before node5\nnode 26 should be visited before node24\nnode 26 should be visited before node13\nnode 26 should be visited before node6\nnode 26 should be visited before node14\nnode 26 should be visited before node4\nnode 26 should be visited before node7\nnode 27 should be visited before node24\nnode 27 should be visited before node25\nnode 27 should be visited before node11\nnode 27 should be visited before node15\nnode 27 should be visited before node4\nnode 27 should be visited before node19\nnode 27 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,8,26,2,23,10,16,22,17,3,27,20,24,25,11,5,12,0,6,13,9,19,14,21,18,15,4,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph1112",
        "image": "data/topology/graph_visual/hard/graph1112.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node31\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 0 should be visited before node2\nnode 1 should be visited before node16\nnode 1 should be visited before node10\nnode 1 should be visited before node32\nnode 1 should be visited before node34\nnode 1 should be visited before node25\nnode 1 should be visited before node22\nnode 1 should be visited before node23\nnode 1 should be visited before node19\nnode 3 should be visited before node13\nnode 3 should be visited before node18\nnode 3 should be visited before node1\nnode 3 should be visited before node16\nnode 3 should be visited before node26\nnode 3 should be visited before node34\nnode 3 should be visited before node23\nnode 4 should be visited before node21\nnode 4 should be visited before node18\nnode 4 should be visited before node24\nnode 4 should be visited before node15\nnode 4 should be visited before node28\nnode 4 should be visited before node2\nnode 5 should be visited before node21\nnode 5 should be visited before node33\nnode 5 should be visited before node31\nnode 5 should be visited before node25\nnode 5 should be visited before node28\nnode 5 should be visited before node22\nnode 5 should be visited before node9\nnode 6 should be visited before node13\nnode 6 should be visited before node20\nnode 6 should be visited before node12\nnode 6 should be visited before node33\nnode 6 should be visited before node16\nnode 6 should be visited before node10\nnode 6 should be visited before node24\nnode 6 should be visited before node0\nnode 6 should be visited before node31\nnode 6 should be visited before node15\nnode 6 should be visited before node29\nnode 6 should be visited before node25\nnode 6 should be visited before node30\nnode 7 should be visited before node24\nnode 7 should be visited before node29\nnode 7 should be visited before node17\nnode 7 should be visited before node28\nnode 7 should be visited before node30\nnode 7 should be visited before node23\nnode 8 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node21\nnode 8 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node31\nnode 8 should be visited before node17\nnode 8 should be visited before node25\nnode 8 should be visited before node9\nnode 10 should be visited before node14\nnode 10 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node13\nnode 11 should be visited before node12\nnode 11 should be visited before node1\nnode 11 should be visited before node34\nnode 11 should be visited before node25\nnode 12 should be visited before node1\nnode 12 should be visited before node24\nnode 12 should be visited before node32\nnode 12 should be visited before node15\nnode 12 should be visited before node17\nnode 12 should be visited before node28\nnode 12 should be visited before node23\nnode 12 should be visited before node2\nnode 13 should be visited before node27\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node24\nnode 13 should be visited before node32\nnode 13 should be visited before node0\nnode 13 should be visited before node29\nnode 13 should be visited before node17\nnode 13 should be visited before node25\nnode 13 should be visited before node30\nnode 13 should be visited before node19\nnode 13 should be visited before node2\nnode 14 should be visited before node28\nnode 14 should be visited before node30\nnode 14 should be visited before node22\nnode 14 should be visited before node23\nnode 14 should be visited before node9\nnode 14 should be visited before node19\nnode 15 should be visited before node34\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 16 should be visited before node24\nnode 16 should be visited before node29\nnode 16 should be visited before node34\nnode 16 should be visited before node17\nnode 16 should be visited before node28\nnode 17 should be visited before node25\nnode 17 should be visited before node9\nnode 17 should be visited before node19\nnode 18 should be visited before node12\nnode 18 should be visited before node10\nnode 18 should be visited before node24\nnode 18 should be visited before node32\nnode 18 should be visited before node14\nnode 18 should be visited before node19\nnode 20 should be visited before node18\nnode 20 should be visited before node33\nnode 20 should be visited before node31\nnode 20 should be visited before node29\nnode 20 should be visited before node17\nnode 20 should be visited before node25\nnode 20 should be visited before node30\nnode 20 should be visited before node23\nnode 21 should be visited before node20\nnode 21 should be visited before node12\nnode 21 should be visited before node16\nnode 21 should be visited before node10\nnode 21 should be visited before node29\nnode 21 should be visited before node34\nnode 21 should be visited before node14\nnode 21 should be visited before node30\nnode 21 should be visited before node23\nnode 21 should be visited before node19\nnode 21 should be visited before node2\nnode 22 should be visited before node23\nnode 22 should be visited before node2\nnode 23 should be visited before node2\nnode 24 should be visited before node32\nnode 24 should be visited before node26\nnode 24 should be visited before node29\nnode 24 should be visited before node17\nnode 24 should be visited before node30\nnode 25 should be visited before node28\nnode 25 should be visited before node30\nnode 25 should be visited before node2\nnode 26 should be visited before node9\nnode 27 should be visited before node18\nnode 27 should be visited before node31\nnode 27 should be visited before node28\nnode 27 should be visited before node22\nnode 27 should be visited before node23\nnode 27 should be visited before node19\nnode 28 should be visited before node19\nnode 28 should be visited before node2\nnode 29 should be visited before node17\nnode 29 should be visited before node14\nnode 29 should be visited before node28\nnode 29 should be visited before node19\nnode 30 should be visited before node2\nnode 31 should be visited before node34\nnode 31 should be visited before node25\nnode 31 should be visited before node9\nnode 31 should be visited before node19\nnode 31 should be visited before node2\nnode 32 should be visited before node0\nnode 32 should be visited before node15\nnode 32 should be visited before node29\nnode 32 should be visited before node22\nnode 32 should be visited before node9\nnode 32 should be visited before node19\nnode 33 should be visited before node1\nnode 33 should be visited before node16\nnode 33 should be visited before node10\nnode 33 should be visited before node24\nnode 33 should be visited before node32\nnode 33 should be visited before node15\nnode 33 should be visited before node17\nnode 33 should be visited before node14\nnode 33 should be visited before node30\nnode 34 should be visited before node22\nnode 34 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,7,8,11,5,6,21,13,20,27,33,18,12,1,16,10,24,32,26,0,29,31,15,17,34,14,25,22,9,28,30,23,19,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph1127",
        "image": "data/topology/graph_visual/hard/graph1127.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node1\nnode 0 should be visited before node14\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 0 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 2 should be visited before node33\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 3 should be visited before node29\nnode 4 should be visited before node18\nnode 5 should be visited before node4\nnode 5 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node19\nnode 6 should be visited before node16\nnode 6 should be visited before node30\nnode 6 should be visited before node28\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node9\nnode 7 should be visited before node21\nnode 7 should be visited before node22\nnode 7 should be visited before node26\nnode 7 should be visited before node8\nnode 7 should be visited before node2\nnode 7 should be visited before node0\nnode 7 should be visited before node17\nnode 7 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node17\nnode 8 should be visited before node3\nnode 8 should be visited before node9\nnode 9 should be visited before node29\nnode 10 should be visited before node13\nnode 10 should be visited before node30\nnode 10 should be visited before node15\nnode 10 should be visited before node27\nnode 10 should be visited before node28\nnode 10 should be visited before node1\nnode 10 should be visited before node17\nnode 10 should be visited before node18\nnode 11 should be visited before node19\nnode 11 should be visited before node16\nnode 11 should be visited before node34\nnode 11 should be visited before node22\nnode 11 should be visited before node23\nnode 11 should be visited before node25\nnode 11 should be visited before node27\nnode 11 should be visited before node28\nnode 11 should be visited before node8\nnode 11 should be visited before node20\nnode 11 should be visited before node32\nnode 11 should be visited before node14\nnode 11 should be visited before node18\nnode 12 should be visited before node34\nnode 12 should be visited before node21\nnode 12 should be visited before node13\nnode 12 should be visited before node23\nnode 12 should be visited before node30\nnode 12 should be visited before node20\nnode 12 should be visited before node33\nnode 12 should be visited before node4\nnode 12 should be visited before node18\nnode 12 should be visited before node29\nnode 13 should be visited before node27\nnode 13 should be visited before node2\nnode 13 should be visited before node0\nnode 13 should be visited before node5\nnode 13 should be visited before node4\nnode 13 should be visited before node18\nnode 13 should be visited before node9\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 15 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node9\nnode 16 should be visited before node34\nnode 16 should be visited before node23\nnode 16 should be visited before node2\nnode 16 should be visited before node1\nnode 16 should be visited before node3\nnode 16 should be visited before node29\nnode 17 should be visited before node3\nnode 17 should be visited before node32\nnode 19 should be visited before node24\nnode 19 should be visited before node34\nnode 19 should be visited before node30\nnode 19 should be visited before node28\nnode 19 should be visited before node1\nnode 19 should be visited before node32\nnode 19 should be visited before node5\nnode 20 should be visited before node4\nnode 20 should be visited before node18\nnode 20 should be visited before node9\nnode 20 should be visited before node29\nnode 21 should be visited before node10\nnode 21 should be visited before node26\nnode 21 should be visited before node15\nnode 21 should be visited before node1\nnode 21 should be visited before node20\nnode 21 should be visited before node33\nnode 21 should be visited before node17\nnode 21 should be visited before node14\nnode 21 should be visited before node5\nnode 22 should be visited before node23\nnode 22 should be visited before node15\nnode 22 should be visited before node2\nnode 22 should be visited before node0\nnode 22 should be visited before node33\nnode 22 should be visited before node18\nnode 22 should be visited before node29\nnode 23 should be visited before node30\nnode 23 should be visited before node27\nnode 23 should be visited before node28\nnode 23 should be visited before node8\nnode 23 should be visited before node1\nnode 23 should be visited before node18\nnode 23 should be visited before node9\nnode 24 should be visited before node27\nnode 24 should be visited before node0\nnode 24 should be visited before node33\nnode 24 should be visited before node17\nnode 24 should be visited before node32\nnode 24 should be visited before node14\nnode 24 should be visited before node9\nnode 25 should be visited before node30\nnode 25 should be visited before node8\nnode 25 should be visited before node3\nnode 25 should be visited before node9\nnode 26 should be visited before node27\nnode 26 should be visited before node28\nnode 26 should be visited before node1\nnode 26 should be visited before node5\nnode 26 should be visited before node18\nnode 27 should be visited before node28\nnode 27 should be visited before node33\nnode 27 should be visited before node17\nnode 27 should be visited before node3\nnode 28 should be visited before node1\nnode 28 should be visited before node33\nnode 28 should be visited before node17\nnode 28 should be visited before node18\nnode 28 should be visited before node29\nnode 30 should be visited before node28\nnode 30 should be visited before node2\nnode 30 should be visited before node0\nnode 30 should be visited before node33\nnode 30 should be visited before node5\nnode 30 should be visited before node18\nnode 31 should be visited before node19\nnode 31 should be visited before node16\nnode 31 should be visited before node22\nnode 31 should be visited before node10\nnode 31 should be visited before node15\nnode 31 should be visited before node28\nnode 31 should be visited before node8\nnode 31 should be visited before node2\nnode 31 should be visited before node0\nnode 31 should be visited before node33\nnode 31 should be visited before node17\nnode 31 should be visited before node14\nnode 32 should be visited before node14\nnode 32 should be visited before node18\nnode 33 should be visited before node3\nnode 33 should be visited before node14\nnode 33 should be visited before node18\nnode 34 should be visited before node22\nnode 34 should be visited before node10\nnode 34 should be visited before node25\nnode 34 should be visited before node27\nnode 34 should be visited before node0\nnode 34 should be visited before node17\nnode 34 should be visited before node32\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,7,12,31,11,21,19,16,26,20,24,34,22,10,25,23,13,15,30,8,27,2,0,28,1,33,17,3,32,14,5,4,9,18,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph354",
        "image": "data/topology/graph_visual/hard/graph354.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node10\nnode 0 should be visited before node20\nnode 0 should be visited before node21\nnode 1 should be visited before node16\nnode 1 should be visited before node12\nnode 1 should be visited before node6\nnode 1 should be visited before node14\nnode 1 should be visited before node25\nnode 1 should be visited before node15\nnode 1 should be visited before node26\nnode 1 should be visited before node4\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 1 should be visited before node20\nnode 2 should be visited before node16\nnode 2 should be visited before node8\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node25\nnode 2 should be visited before node15\nnode 2 should be visited before node23\nnode 2 should be visited before node22\nnode 2 should be visited before node18\nnode 2 should be visited before node4\nnode 2 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node20\nnode 3 should be visited before node8\nnode 3 should be visited before node12\nnode 3 should be visited before node19\nnode 3 should be visited before node6\nnode 3 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node9\nnode 3 should be visited before node27\nnode 3 should be visited before node10\nnode 4 should be visited before node24\nnode 4 should be visited before node20\nnode 5 should be visited before node20\nnode 5 should be visited before node21\nnode 6 should be visited before node23\nnode 6 should be visited before node11\nnode 6 should be visited before node18\nnode 6 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node20\nnode 7 should be visited before node27\nnode 7 should be visited before node13\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 7 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node6\nnode 8 should be visited before node14\nnode 8 should be visited before node25\nnode 8 should be visited before node15\nnode 8 should be visited before node23\nnode 8 should be visited before node18\nnode 8 should be visited before node17\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node27\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node20\nnode 9 should be visited before node13\nnode 9 should be visited before node0\nnode 9 should be visited before node5\nnode 9 should be visited before node21\nnode 10 should be visited before node5\nnode 11 should be visited before node9\nnode 11 should be visited before node13\nnode 11 should be visited before node0\nnode 11 should be visited before node21\nnode 12 should be visited before node19\nnode 12 should be visited before node6\nnode 12 should be visited before node15\nnode 12 should be visited before node23\nnode 12 should be visited before node11\nnode 12 should be visited before node26\nnode 12 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node0\nnode 12 should be visited before node21\nnode 13 should be visited before node24\nnode 13 should be visited before node0\nnode 13 should be visited before node10\nnode 13 should be visited before node5\nnode 14 should be visited before node25\nnode 14 should be visited before node23\nnode 14 should be visited before node11\nnode 14 should be visited before node18\nnode 14 should be visited before node26\nnode 14 should be visited before node4\nnode 14 should be visited before node7\nnode 14 should be visited before node9\nnode 14 should be visited before node13\nnode 14 should be visited before node24\nnode 14 should be visited before node21\nnode 15 should be visited before node23\nnode 15 should be visited before node18\nnode 15 should be visited before node4\nnode 15 should be visited before node7\nnode 15 should be visited before node27\nnode 15 should be visited before node24\nnode 15 should be visited before node0\nnode 15 should be visited before node20\nnode 15 should be visited before node21\nnode 16 should be visited before node8\nnode 16 should be visited before node19\nnode 16 should be visited before node14\nnode 16 should be visited before node15\nnode 16 should be visited before node9\nnode 16 should be visited before node13\nnode 16 should be visited before node0\nnode 16 should be visited before node10\nnode 16 should be visited before node5\nnode 16 should be visited before node20\nnode 16 should be visited before node21\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node13\nnode 17 should be visited before node0\nnode 17 should be visited before node5\nnode 17 should be visited before node20\nnode 18 should be visited before node17\nnode 18 should be visited before node7\nnode 18 should be visited before node13\nnode 18 should be visited before node24\nnode 18 should be visited before node21\nnode 19 should be visited before node14\nnode 19 should be visited before node25\nnode 19 should be visited before node11\nnode 19 should be visited before node18\nnode 19 should be visited before node26\nnode 19 should be visited before node4\nnode 19 should be visited before node7\nnode 19 should be visited before node9\nnode 19 should be visited before node13\nnode 19 should be visited before node0\nnode 19 should be visited before node20\nnode 19 should be visited before node21\nnode 20 should be visited before node21\nnode 22 should be visited before node11\nnode 22 should be visited before node18\nnode 22 should be visited before node17\nnode 22 should be visited before node4\nnode 22 should be visited before node24\nnode 22 should be visited before node10\nnode 22 should be visited before node5\nnode 22 should be visited before node20\nnode 22 should be visited before node21\nnode 23 should be visited before node22\nnode 23 should be visited before node11\nnode 23 should be visited before node26\nnode 23 should be visited before node7\nnode 23 should be visited before node9\nnode 23 should be visited before node27\nnode 23 should be visited before node0\nnode 23 should be visited before node10\nnode 23 should be visited before node5\nnode 23 should be visited before node21\nnode 24 should be visited before node10\nnode 24 should be visited before node5\nnode 24 should be visited before node21\nnode 25 should be visited before node15\nnode 25 should be visited before node23\nnode 25 should be visited before node22\nnode 25 should be visited before node11\nnode 25 should be visited before node18\nnode 25 should be visited before node26\nnode 25 should be visited before node4\nnode 25 should be visited before node13\nnode 25 should be visited before node24\nnode 25 should be visited before node0\nnode 25 should be visited before node20\nnode 25 should be visited before node21\nnode 26 should be visited before node27\nnode 26 should be visited before node13\nnode 26 should be visited before node24\nnode 26 should be visited before node0\nnode 26 should be visited before node21\nnode 27 should be visited before node13\nnode 27 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,2,3,16,12,8,19,6,14,25,15,23,22,26,11,18,9,17,4,7,27,13,24,0,10,5,20,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph124",
        "image": "data/topology/graph_visual/hard/graph124.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node19\nnode 1 should be visited before node23\nnode 1 should be visited before node0\nnode 2 should be visited before node12\nnode 2 should be visited before node24\nnode 2 should be visited before node15\nnode 2 should be visited before node20\nnode 2 should be visited before node22\nnode 2 should be visited before node11\nnode 2 should be visited before node7\nnode 2 should be visited before node23\nnode 3 should be visited before node0\nnode 4 should be visited before node3\nnode 4 should be visited before node19\nnode 5 should be visited before node17\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 6 should be visited before node21\nnode 6 should be visited before node1\nnode 6 should be visited before node18\nnode 6 should be visited before node3\nnode 6 should be visited before node19\nnode 6 should be visited before node23\nnode 7 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node0\nnode 9 should be visited before node24\nnode 9 should be visited before node15\nnode 9 should be visited before node26\nnode 9 should be visited before node11\nnode 9 should be visited before node13\nnode 10 should be visited before node22\nnode 10 should be visited before node11\nnode 10 should be visited before node21\nnode 10 should be visited before node1\nnode 10 should be visited before node18\nnode 10 should be visited before node19\nnode 11 should be visited before node3\nnode 12 should be visited before node24\nnode 12 should be visited before node26\nnode 12 should be visited before node13\nnode 12 should be visited before node0\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 14 should be visited before node23\nnode 15 should be visited before node20\nnode 15 should be visited before node4\nnode 15 should be visited before node6\nnode 15 should be visited before node1\nnode 15 should be visited before node8\nnode 15 should be visited before node17\nnode 15 should be visited before node3\nnode 15 should be visited before node19\nnode 15 should be visited before node13\nnode 16 should be visited before node12\nnode 16 should be visited before node9\nnode 16 should be visited before node24\nnode 16 should be visited before node15\nnode 16 should be visited before node11\nnode 16 should be visited before node21\nnode 16 should be visited before node5\nnode 16 should be visited before node17\nnode 16 should be visited before node19\nnode 18 should be visited before node5\nnode 18 should be visited before node19\nnode 20 should be visited before node4\nnode 20 should be visited before node19\nnode 20 should be visited before node23\nnode 20 should be visited before node13\nnode 20 should be visited before node0\nnode 22 should be visited before node26\nnode 22 should be visited before node21\nnode 22 should be visited before node8\nnode 22 should be visited before node5\nnode 22 should be visited before node13\nnode 22 should be visited before node0\nnode 23 should be visited before node13\nnode 24 should be visited before node4\nnode 24 should be visited before node22\nnode 24 should be visited before node26\nnode 24 should be visited before node6\nnode 24 should be visited before node8\nnode 25 should be visited before node24\nnode 25 should be visited before node26\nnode 25 should be visited before node11\nnode 25 should be visited before node21\nnode 25 should be visited before node1\nnode 25 should be visited before node0\nnode 26 should be visited before node1\nnode 26 should be visited before node8\nnode 26 should be visited before node5\nnode 26 should be visited before node19\nnode 26 should be visited before node23\nnode 26 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,10,14,16,25,12,9,24,15,11,22,20,6,26,4,21,18,1,7,19,23,8,5,17,3,13,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph773",
        "image": "data/topology/graph_visual/hard/graph773.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 1 should be visited before node25\nnode 1 should be visited before node16\nnode 1 should be visited before node30\nnode 1 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node23\nnode 1 should be visited before node2\nnode 1 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node21\nnode 3 should be visited before node28\nnode 3 should be visited before node1\nnode 3 should be visited before node30\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 4 should be visited before node11\nnode 4 should be visited before node10\nnode 4 should be visited before node17\nnode 4 should be visited before node15\nnode 4 should be visited before node23\nnode 4 should be visited before node2\nnode 4 should be visited before node22\nnode 4 should be visited before node9\nnode 6 should be visited before node27\nnode 6 should be visited before node10\nnode 6 should be visited before node30\nnode 6 should be visited before node2\nnode 6 should be visited before node9\nnode 7 should be visited before node26\nnode 7 should be visited before node14\nnode 7 should be visited before node27\nnode 7 should be visited before node4\nnode 7 should be visited before node11\nnode 7 should be visited before node21\nnode 7 should be visited before node10\nnode 7 should be visited before node17\nnode 7 should be visited before node15\nnode 7 should be visited before node2\nnode 7 should be visited before node22\nnode 7 should be visited before node19\nnode 8 should be visited before node31\nnode 8 should be visited before node10\nnode 8 should be visited before node13\nnode 8 should be visited before node25\nnode 8 should be visited before node16\nnode 8 should be visited before node30\nnode 8 should be visited before node15\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node9\nnode 10 should be visited before node30\nnode 10 should be visited before node15\nnode 10 should be visited before node23\nnode 11 should be visited before node30\nnode 11 should be visited before node23\nnode 12 should be visited before node8\nnode 12 should be visited before node29\nnode 12 should be visited before node20\nnode 12 should be visited before node16\nnode 12 should be visited before node15\nnode 12 should be visited before node19\nnode 12 should be visited before node0\nnode 13 should be visited before node1\nnode 13 should be visited before node16\nnode 13 should be visited before node2\nnode 14 should be visited before node27\nnode 14 should be visited before node21\nnode 14 should be visited before node5\nnode 14 should be visited before node23\nnode 14 should be visited before node22\nnode 14 should be visited before node9\nnode 15 should be visited before node5\nnode 15 should be visited before node22\nnode 17 should be visited before node15\nnode 17 should be visited before node5\nnode 17 should be visited before node2\nnode 17 should be visited before node22\nnode 17 should be visited before node0\nnode 18 should be visited before node24\nnode 18 should be visited before node11\nnode 18 should be visited before node16\nnode 18 should be visited before node15\nnode 18 should be visited before node23\nnode 18 should be visited before node9\nnode 19 should be visited before node9\nnode 19 should be visited before node0\nnode 20 should be visited before node31\nnode 20 should be visited before node10\nnode 20 should be visited before node28\nnode 20 should be visited before node17\nnode 20 should be visited before node5\nnode 20 should be visited before node22\nnode 20 should be visited before node9\nnode 20 should be visited before node0\nnode 21 should be visited before node10\nnode 21 should be visited before node1\nnode 21 should be visited before node25\nnode 21 should be visited before node16\nnode 21 should be visited before node17\nnode 21 should be visited before node19\nnode 21 should be visited before node9\nnode 21 should be visited before node0\nnode 23 should be visited before node2\nnode 23 should be visited before node19\nnode 24 should be visited before node10\nnode 24 should be visited before node25\nnode 24 should be visited before node30\nnode 24 should be visited before node17\nnode 24 should be visited before node15\nnode 24 should be visited before node22\nnode 25 should be visited before node16\nnode 25 should be visited before node30\nnode 25 should be visited before node17\nnode 25 should be visited before node5\nnode 25 should be visited before node9\nnode 25 should be visited before node0\nnode 26 should be visited before node8\nnode 26 should be visited before node29\nnode 26 should be visited before node20\nnode 26 should be visited before node27\nnode 26 should be visited before node4\nnode 26 should be visited before node24\nnode 26 should be visited before node10\nnode 26 should be visited before node13\nnode 26 should be visited before node17\nnode 26 should be visited before node15\nnode 26 should be visited before node23\nnode 26 should be visited before node22\nnode 26 should be visited before node19\nnode 27 should be visited before node21\nnode 27 should be visited before node28\nnode 27 should be visited before node13\nnode 27 should be visited before node30\nnode 27 should be visited before node15\nnode 27 should be visited before node23\nnode 27 should be visited before node22\nnode 27 should be visited before node19\nnode 28 should be visited before node1\nnode 28 should be visited before node25\nnode 29 should be visited before node3\nnode 29 should be visited before node13\nnode 29 should be visited before node25\nnode 29 should be visited before node16\nnode 29 should be visited before node22\nnode 29 should be visited before node9\nnode 29 should be visited before node0\nnode 30 should be visited before node19\nnode 30 should be visited before node9\nnode 30 should be visited before node0\nnode 31 should be visited before node24\nnode 31 should be visited before node28\nnode 31 should be visited before node17\nnode 31 should be visited before node15\nnode 31 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,7,12,18,26,14,8,29,20,4,27,3,31,13,11,21,24,28,10,1,25,23,16,30,17,19,15,2,9,0,5,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph1098",
        "image": "data/topology/graph_visual/hard/graph1098.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node17\nnode 0 should be visited before node31\nnode 0 should be visited before node24\nnode 0 should be visited before node6\nnode 0 should be visited before node19\nnode 0 should be visited before node12\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node26\nnode 0 should be visited before node4\nnode 0 should be visited before node30\nnode 0 should be visited before node23\nnode 0 should be visited before node21\nnode 1 should be visited before node17\nnode 1 should be visited before node11\nnode 1 should be visited before node22\nnode 1 should be visited before node24\nnode 1 should be visited before node6\nnode 1 should be visited before node19\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node5\nnode 1 should be visited before node29\nnode 1 should be visited before node21\nnode 2 should be visited before node20\nnode 2 should be visited before node0\nnode 2 should be visited before node31\nnode 2 should be visited before node9\nnode 2 should be visited before node11\nnode 2 should be visited before node22\nnode 2 should be visited before node12\nnode 2 should be visited before node26\nnode 2 should be visited before node30\nnode 2 should be visited before node15\nnode 2 should be visited before node32\nnode 3 should be visited before node19\nnode 3 should be visited before node12\nnode 3 should be visited before node27\nnode 3 should be visited before node26\nnode 3 should be visited before node30\nnode 3 should be visited before node29\nnode 3 should be visited before node15\nnode 3 should be visited before node32\nnode 4 should be visited before node15\nnode 4 should be visited before node28\nnode 5 should be visited before node4\nnode 5 should be visited before node30\nnode 5 should be visited before node23\nnode 5 should be visited before node29\nnode 5 should be visited before node15\nnode 6 should be visited before node5\nnode 6 should be visited before node30\nnode 6 should be visited before node29\nnode 6 should be visited before node13\nnode 6 should be visited before node28\nnode 7 should be visited before node1\nnode 7 should be visited before node20\nnode 7 should be visited before node17\nnode 7 should be visited before node16\nnode 7 should be visited before node26\nnode 7 should be visited before node29\nnode 7 should be visited before node15\nnode 7 should be visited before node34\nnode 7 should be visited before node28\nnode 8 should be visited before node19\nnode 8 should be visited before node14\nnode 8 should be visited before node26\nnode 8 should be visited before node5\nnode 8 should be visited before node34\nnode 8 should be visited before node28\nnode 9 should be visited before node18\nnode 9 should be visited before node12\nnode 9 should be visited before node27\nnode 9 should be visited before node4\nnode 9 should be visited before node23\nnode 9 should be visited before node29\nnode 9 should be visited before node21\nnode 9 should be visited before node32\nnode 10 should be visited before node2\nnode 10 should be visited before node25\nnode 10 should be visited before node31\nnode 10 should be visited before node18\nnode 10 should be visited before node24\nnode 10 should be visited before node6\nnode 10 should be visited before node19\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node5\nnode 10 should be visited before node23\nnode 10 should be visited before node34\nnode 11 should be visited before node26\nnode 11 should be visited before node5\nnode 11 should be visited before node30\nnode 11 should be visited before node32\nnode 11 should be visited before node28\nnode 12 should be visited before node16\nnode 12 should be visited before node29\nnode 12 should be visited before node34\nnode 12 should be visited before node32\nnode 13 should be visited before node34\nnode 13 should be visited before node21\nnode 13 should be visited before node28\nnode 14 should be visited before node27\nnode 14 should be visited before node26\nnode 14 should be visited before node30\nnode 14 should be visited before node23\nnode 14 should be visited before node13\nnode 15 should be visited before node34\nnode 15 should be visited before node32\nnode 16 should be visited before node33\nnode 16 should be visited before node4\nnode 16 should be visited before node29\nnode 16 should be visited before node13\nnode 16 should be visited before node34\nnode 16 should be visited before node28\nnode 17 should be visited before node9\nnode 17 should be visited before node26\nnode 17 should be visited before node33\nnode 17 should be visited before node32\nnode 17 should be visited before node28\nnode 18 should be visited before node14\nnode 18 should be visited before node5\nnode 18 should be visited before node29\nnode 18 should be visited before node13\nnode 18 should be visited before node21\nnode 19 should be visited before node27\nnode 19 should be visited before node5\nnode 19 should be visited before node30\nnode 19 should be visited before node29\nnode 19 should be visited before node15\nnode 19 should be visited before node13\nnode 19 should be visited before node21\nnode 20 should be visited before node9\nnode 20 should be visited before node18\nnode 20 should be visited before node3\nnode 20 should be visited before node19\nnode 20 should be visited before node12\nnode 20 should be visited before node16\nnode 20 should be visited before node4\nnode 20 should be visited before node23\nnode 20 should be visited before node13\nnode 20 should be visited before node34\nnode 20 should be visited before node28\nnode 21 should be visited before node28\nnode 22 should be visited before node18\nnode 22 should be visited before node26\nnode 22 should be visited before node33\nnode 22 should be visited before node5\nnode 22 should be visited before node29\nnode 22 should be visited before node15\nnode 22 should be visited before node21\nnode 23 should be visited before node29\nnode 23 should be visited before node32\nnode 23 should be visited before node28\nnode 24 should be visited before node3\nnode 24 should be visited before node6\nnode 24 should be visited before node19\nnode 24 should be visited before node34\nnode 24 should be visited before node28\nnode 25 should be visited before node1\nnode 25 should be visited before node17\nnode 25 should be visited before node31\nnode 25 should be visited before node8\nnode 25 should be visited before node18\nnode 25 should be visited before node6\nnode 25 should be visited before node12\nnode 25 should be visited before node27\nnode 25 should be visited before node28\nnode 26 should be visited before node4\nnode 26 should be visited before node29\nnode 26 should be visited before node13\nnode 27 should be visited before node30\nnode 27 should be visited before node34\nnode 27 should be visited before node28\nnode 29 should be visited before node15\nnode 29 should be visited before node13\nnode 29 should be visited before node21\nnode 29 should be visited before node32\nnode 29 should be visited before node28\nnode 30 should be visited before node15\nnode 30 should be visited before node28\nnode 31 should be visited before node9\nnode 31 should be visited before node11\nnode 31 should be visited before node18\nnode 31 should be visited before node24\nnode 31 should be visited before node14\nnode 31 should be visited before node27\nnode 31 should be visited before node33\nnode 31 should be visited before node5\nnode 31 should be visited before node4\nnode 31 should be visited before node34\nnode 31 should be visited before node32\nnode 31 should be visited before node28\nnode 33 should be visited before node21\nnode 34 should be visited before node21\nnode 34 should be visited before node32\nnode 34 should be visited before node28\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,10,2,25,20,0,1,8,31,17,22,11,24,9,3,6,18,19,12,14,5,16,27,26,23,33,30,4,29,15,13,34,21,32,28."
            }
        ]
    },
    {
        "id": "topology-hard-graph3",
        "image": "data/topology/graph_visual/hard/graph3.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node11\nnode 1 should be visited before node7\nnode 1 should be visited before node14\nnode 1 should be visited before node23\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node0\nnode 1 should be visited before node9\nnode 2 should be visited before node8\nnode 2 should be visited before node18\nnode 2 should be visited before node19\nnode 2 should be visited before node12\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 3 should be visited before node18\nnode 3 should be visited before node20\nnode 3 should be visited before node11\nnode 3 should be visited before node16\nnode 4 should be visited before node16\nnode 5 should be visited before node2\nnode 5 should be visited before node18\nnode 5 should be visited before node12\nnode 5 should be visited before node16\nnode 5 should be visited before node9\nnode 6 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node24\nnode 7 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node15\nnode 8 should be visited before node4\nnode 8 should be visited before node16\nnode 10 should be visited before node1\nnode 10 should be visited before node7\nnode 10 should be visited before node22\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node15\nnode 10 should be visited before node24\nnode 10 should be visited before node17\nnode 10 should be visited before node16\nnode 12 should be visited before node16\nnode 13 should be visited before node7\nnode 13 should be visited before node22\nnode 13 should be visited before node25\nnode 13 should be visited before node5\nnode 13 should be visited before node2\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node0\nnode 13 should be visited before node16\nnode 14 should be visited before node15\nnode 14 should be visited before node12\nnode 14 should be visited before node20\nnode 14 should be visited before node16\nnode 14 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node20\nnode 15 should be visited before node24\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 17 should be visited before node4\nnode 17 should be visited before node9\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 18 should be visited before node9\nnode 19 should be visited before node12\nnode 19 should be visited before node11\nnode 19 should be visited before node9\nnode 20 should be visited before node17\nnode 20 should be visited before node4\nnode 20 should be visited before node9\nnode 21 should be visited before node14\nnode 21 should be visited before node22\nnode 21 should be visited before node25\nnode 21 should be visited before node2\nnode 21 should be visited before node3\nnode 21 should be visited before node19\nnode 21 should be visited before node20\nnode 21 should be visited before node0\nnode 21 should be visited before node16\nnode 22 should be visited before node2\nnode 22 should be visited before node8\nnode 22 should be visited before node3\nnode 23 should be visited before node22\nnode 23 should be visited before node5\nnode 23 should be visited before node8\nnode 23 should be visited before node3\nnode 23 should be visited before node15\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node9\nnode 24 should be visited before node4\nnode 24 should be visited before node16\nnode 25 should be visited before node5\nnode 25 should be visited before node18\nnode 25 should be visited before node24\nnode 25 should be visited before node0\nnode 25 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,13,21,1,6,25,7,14,23,22,5,2,8,3,15,18,20,24,0,19,17,12,11,4,9,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph12",
        "image": "data/topology/graph_visual/hard/graph12.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node13\nnode 0 should be visited before node22\nnode 0 should be visited before node11\nnode 1 should be visited before node7\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 2 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node24\nnode 3 should be visited before node10\nnode 3 should be visited before node23\nnode 3 should be visited before node22\nnode 4 should be visited before node1\nnode 4 should be visited before node18\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 4 should be visited before node20\nnode 4 should be visited before node15\nnode 4 should be visited before node9\nnode 4 should be visited before node13\nnode 4 should be visited before node25\nnode 5 should be visited before node20\nnode 5 should be visited before node7\nnode 5 should be visited before node25\nnode 6 should be visited before node15\nnode 6 should be visited before node13\nnode 7 should be visited before node15\nnode 7 should be visited before node13\nnode 7 should be visited before node22\nnode 7 should be visited before node16\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node7\nnode 8 should be visited before node22\nnode 8 should be visited before node11\nnode 9 should be visited before node11\nnode 10 should be visited before node20\nnode 10 should be visited before node23\nnode 10 should be visited before node9\nnode 10 should be visited before node13\nnode 10 should be visited before node22\nnode 10 should be visited before node2\nnode 12 should be visited before node20\nnode 12 should be visited before node6\nnode 12 should be visited before node0\nnode 12 should be visited before node7\nnode 12 should be visited before node22\nnode 12 should be visited before node16\nnode 14 should be visited before node22\nnode 14 should be visited before node11\nnode 14 should be visited before node16\nnode 15 should be visited before node2\nnode 17 should be visited before node24\nnode 17 should be visited before node19\nnode 17 should be visited before node1\nnode 17 should be visited before node18\nnode 17 should be visited before node23\nnode 17 should be visited before node15\nnode 17 should be visited before node14\nnode 17 should be visited before node13\nnode 17 should be visited before node2\nnode 17 should be visited before node16\nnode 18 should be visited before node12\nnode 18 should be visited before node20\nnode 18 should be visited before node7\nnode 18 should be visited before node14\nnode 18 should be visited before node13\nnode 18 should be visited before node22\nnode 18 should be visited before node25\nnode 19 should be visited before node7\nnode 19 should be visited before node15\nnode 19 should be visited before node9\nnode 20 should be visited before node7\nnode 20 should be visited before node15\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 20 should be visited before node2\nnode 20 should be visited before node25\nnode 20 should be visited before node16\nnode 21 should be visited before node1\nnode 21 should be visited before node18\nnode 21 should be visited before node12\nnode 21 should be visited before node7\nnode 21 should be visited before node13\nnode 21 should be visited before node22\nnode 22 should be visited before node11\nnode 23 should be visited before node13\nnode 24 should be visited before node12\nnode 24 should be visited before node13\nnode 24 should be visited before node11\nnode 24 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,8,17,21,10,4,24,19,23,1,18,5,12,14,20,6,0,7,9,25,15,13,22,2,11,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph519",
        "image": "data/topology/graph_visual/hard/graph519.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node27\nnode 2 should be visited before node17\nnode 2 should be visited before node11\nnode 2 should be visited before node29\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 2 should be visited before node25\nnode 3 should be visited before node14\nnode 3 should be visited before node18\nnode 3 should be visited before node28\nnode 3 should be visited before node16\nnode 3 should be visited before node8\nnode 3 should be visited before node15\nnode 3 should be visited before node26\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node25\nnode 4 should be visited before node23\nnode 4 should be visited before node25\nnode 5 should be visited before node14\nnode 5 should be visited before node10\nnode 5 should be visited before node16\nnode 5 should be visited before node20\nnode 5 should be visited before node17\nnode 5 should be visited before node26\nnode 5 should be visited before node4\nnode 5 should be visited before node21\nnode 6 should be visited before node15\nnode 6 should be visited before node7\nnode 6 should be visited before node25\nnode 7 should be visited before node0\nnode 7 should be visited before node4\nnode 7 should be visited before node23\nnode 8 should be visited before node17\nnode 8 should be visited before node15\nnode 8 should be visited before node26\nnode 8 should be visited before node29\nnode 8 should be visited before node0\nnode 8 should be visited before node4\nnode 8 should be visited before node23\nnode 9 should be visited before node22\nnode 9 should be visited before node2\nnode 9 should be visited before node18\nnode 9 should be visited before node28\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node15\nnode 9 should be visited before node29\nnode 9 should be visited before node0\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node1\nnode 10 should be visited before node21\nnode 11 should be visited before node21\nnode 12 should be visited before node29\nnode 12 should be visited before node23\nnode 13 should be visited before node19\nnode 13 should be visited before node15\nnode 13 should be visited before node12\nnode 13 should be visited before node26\nnode 13 should be visited before node7\nnode 13 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node18\nnode 14 should be visited before node16\nnode 14 should be visited before node19\nnode 14 should be visited before node20\nnode 14 should be visited before node8\nnode 14 should be visited before node17\nnode 14 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node29\nnode 14 should be visited before node4\nnode 14 should be visited before node23\nnode 14 should be visited before node1\nnode 15 should be visited before node12\nnode 15 should be visited before node11\nnode 15 should be visited before node0\nnode 16 should be visited before node13\nnode 16 should be visited before node20\nnode 16 should be visited before node17\nnode 16 should be visited before node15\nnode 16 should be visited before node26\nnode 16 should be visited before node7\nnode 16 should be visited before node29\nnode 16 should be visited before node24\nnode 16 should be visited before node1\nnode 17 should be visited before node4\nnode 18 should be visited before node28\nnode 18 should be visited before node11\nnode 18 should be visited before node7\nnode 19 should be visited before node20\nnode 19 should be visited before node12\nnode 19 should be visited before node26\nnode 19 should be visited before node11\nnode 19 should be visited before node7\nnode 19 should be visited before node21\nnode 20 should be visited before node8\nnode 20 should be visited before node17\nnode 20 should be visited before node29\nnode 20 should be visited before node24\nnode 20 should be visited before node23\nnode 22 should be visited before node6\nnode 22 should be visited before node3\nnode 22 should be visited before node19\nnode 22 should be visited before node17\nnode 22 should be visited before node7\nnode 22 should be visited before node23\nnode 22 should be visited before node21\nnode 23 should be visited before node25\nnode 24 should be visited before node23\nnode 25 should be visited before node1\nnode 26 should be visited before node24\nnode 26 should be visited before node0\nnode 26 should be visited before node21\nnode 27 should be visited before node15\nnode 27 should be visited before node11\nnode 27 should be visited before node29\nnode 27 should be visited before node23\nnode 27 should be visited before node21\nnode 28 should be visited before node16\nnode 28 should be visited before node8\nnode 28 should be visited before node27\nnode 28 should be visited before node7\nnode 28 should be visited before node1\nnode 29 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,9,10,22,6,3,14,2,18,28,16,27,13,19,20,7,8,17,15,26,12,11,24,0,29,21,4,23,25,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph729",
        "image": "data/topology/graph_visual/hard/graph729.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node5\nnode 0 should be visited before node22\nnode 0 should be visited before node17\nnode 0 should be visited before node9\nnode 0 should be visited before node15\nnode 0 should be visited before node25\nnode 0 should be visited before node6\nnode 0 should be visited before node26\nnode 0 should be visited before node27\nnode 0 should be visited before node24\nnode 0 should be visited before node23\nnode 1 should be visited before node10\nnode 1 should be visited before node15\nnode 1 should be visited before node21\nnode 1 should be visited before node25\nnode 1 should be visited before node26\nnode 2 should be visited before node20\nnode 2 should be visited before node24\nnode 2 should be visited before node19\nnode 3 should be visited before node22\nnode 3 should be visited before node29\nnode 3 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node31\nnode 3 should be visited before node21\nnode 5 should be visited before node22\nnode 5 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node6\nnode 5 should be visited before node24\nnode 5 should be visited before node19\nnode 6 should be visited before node27\nnode 6 should be visited before node20\nnode 6 should be visited before node19\nnode 6 should be visited before node4\nnode 7 should be visited before node30\nnode 7 should be visited before node21\nnode 7 should be visited before node24\nnode 8 should be visited before node29\nnode 8 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 8 should be visited before node26\nnode 8 should be visited before node2\nnode 8 should be visited before node20\nnode 9 should be visited before node7\nnode 9 should be visited before node20\nnode 9 should be visited before node23\nnode 10 should be visited before node9\nnode 10 should be visited before node25\nnode 10 should be visited before node24\nnode 11 should be visited before node28\nnode 11 should be visited before node8\nnode 11 should be visited before node18\nnode 11 should be visited before node21\nnode 11 should be visited before node6\nnode 11 should be visited before node26\nnode 11 should be visited before node19\nnode 11 should be visited before node4\nnode 12 should be visited before node13\nnode 12 should be visited before node10\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node19\nnode 12 should be visited before node23\nnode 13 should be visited before node30\nnode 13 should be visited before node2\nnode 13 should be visited before node23\nnode 13 should be visited before node4\nnode 14 should be visited before node8\nnode 14 should be visited before node29\nnode 14 should be visited before node30\nnode 14 should be visited before node2\nnode 14 should be visited before node27\nnode 14 should be visited before node19\nnode 15 should be visited before node18\nnode 15 should be visited before node6\nnode 15 should be visited before node2\nnode 15 should be visited before node24\nnode 15 should be visited before node23\nnode 16 should be visited before node11\nnode 16 should be visited before node8\nnode 16 should be visited before node1\nnode 16 should be visited before node10\nnode 16 should be visited before node15\nnode 16 should be visited before node30\nnode 16 should be visited before node27\nnode 17 should be visited before node8\nnode 17 should be visited before node13\nnode 17 should be visited before node1\nnode 17 should be visited before node9\nnode 17 should be visited before node31\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 17 should be visited before node6\nnode 17 should be visited before node2\nnode 17 should be visited before node20\nnode 17 should be visited before node24\nnode 17 should be visited before node23\nnode 18 should be visited before node21\nnode 18 should be visited before node6\nnode 19 should be visited before node4\nnode 20 should be visited before node24\nnode 20 should be visited before node4\nnode 21 should be visited before node6\nnode 21 should be visited before node26\nnode 21 should be visited before node2\nnode 21 should be visited before node27\nnode 21 should be visited before node24\nnode 21 should be visited before node23\nnode 22 should be visited before node29\nnode 22 should be visited before node1\nnode 22 should be visited before node10\nnode 22 should be visited before node21\nnode 22 should be visited before node25\nnode 22 should be visited before node26\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 24 should be visited before node23\nnode 25 should be visited before node6\nnode 25 should be visited before node26\nnode 25 should be visited before node27\nnode 25 should be visited before node23\nnode 26 should be visited before node27\nnode 26 should be visited before node24\nnode 26 should be visited before node19\nnode 27 should be visited before node19\nnode 28 should be visited before node7\nnode 28 should be visited before node15\nnode 28 should be visited before node30\nnode 28 should be visited before node26\nnode 28 should be visited before node24\nnode 28 should be visited before node23\nnode 29 should be visited before node21\nnode 29 should be visited before node6\nnode 29 should be visited before node26\nnode 29 should be visited before node20\nnode 29 should be visited before node4\nnode 30 should be visited before node24\nnode 30 should be visited before node19\nnode 30 should be visited before node23\nnode 31 should be visited before node18\nnode 31 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,14,16,5,17,11,22,31,28,8,29,12,1,13,10,15,9,25,18,7,30,21,6,26,2,27,20,19,24,4,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph217",
        "image": "data/topology/graph_visual/hard/graph217.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node5\nnode 0 should be visited before node21\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 0 should be visited before node9\nnode 0 should be visited before node26\nnode 0 should be visited before node12\nnode 1 should be visited before node3\nnode 1 should be visited before node12\nnode 2 should be visited before node5\nnode 2 should be visited before node16\nnode 2 should be visited before node7\nnode 2 should be visited before node19\nnode 2 should be visited before node26\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 4 should be visited before node24\nnode 4 should be visited before node5\nnode 4 should be visited before node21\nnode 4 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node26\nnode 4 should be visited before node20\nnode 5 should be visited before node16\nnode 5 should be visited before node15\nnode 5 should be visited before node7\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node19\nnode 5 should be visited before node26\nnode 5 should be visited before node20\nnode 5 should be visited before node3\nnode 5 should be visited before node12\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node16\nnode 6 should be visited before node15\nnode 6 should be visited before node11\nnode 6 should be visited before node19\nnode 6 should be visited before node12\nnode 7 should be visited before node19\nnode 7 should be visited before node3\nnode 7 should be visited before node12\nnode 8 should be visited before node13\nnode 8 should be visited before node25\nnode 8 should be visited before node4\nnode 8 should be visited before node2\nnode 8 should be visited before node23\nnode 8 should be visited before node24\nnode 8 should be visited before node0\nnode 8 should be visited before node21\nnode 8 should be visited before node15\nnode 8 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node26\nnode 9 should be visited before node12\nnode 10 should be visited before node2\nnode 10 should be visited before node24\nnode 10 should be visited before node0\nnode 10 should be visited before node21\nnode 10 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node26\nnode 10 should be visited before node20\nnode 10 should be visited before node3\nnode 10 should be visited before node12\nnode 11 should be visited before node19\nnode 11 should be visited before node26\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 13 should be visited before node25\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node7\nnode 13 should be visited before node11\nnode 13 should be visited before node19\nnode 13 should be visited before node3\nnode 14 should be visited before node17\nnode 14 should be visited before node18\nnode 14 should be visited before node4\nnode 14 should be visited before node23\nnode 14 should be visited before node24\nnode 14 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node16\nnode 14 should be visited before node21\nnode 14 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node11\nnode 14 should be visited before node9\nnode 14 should be visited before node19\nnode 14 should be visited before node3\nnode 14 should be visited before node12\nnode 15 should be visited before node11\nnode 15 should be visited before node19\nnode 15 should be visited before node20\nnode 15 should be visited before node3\nnode 15 should be visited before node12\nnode 16 should be visited before node21\nnode 16 should be visited before node15\nnode 16 should be visited before node19\nnode 16 should be visited before node26\nnode 17 should be visited before node8\nnode 17 should be visited before node10\nnode 17 should be visited before node4\nnode 17 should be visited before node2\nnode 17 should be visited before node0\nnode 17 should be visited before node5\nnode 17 should be visited before node15\nnode 17 should be visited before node7\nnode 17 should be visited before node11\nnode 17 should be visited before node26\nnode 17 should be visited before node1\nnode 17 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node25\nnode 18 should be visited before node10\nnode 18 should be visited before node4\nnode 18 should be visited before node2\nnode 18 should be visited before node6\nnode 18 should be visited before node23\nnode 18 should be visited before node24\nnode 18 should be visited before node0\nnode 18 should be visited before node16\nnode 18 should be visited before node15\nnode 18 should be visited before node7\nnode 18 should be visited before node26\nnode 18 should be visited before node12\nnode 19 should be visited before node1\nnode 20 should be visited before node1\nnode 21 should be visited before node15\nnode 21 should be visited before node11\nnode 21 should be visited before node26\nnode 21 should be visited before node20\nnode 21 should be visited before node3\nnode 21 should be visited before node12\nnode 22 should be visited before node17\nnode 22 should be visited before node18\nnode 22 should be visited before node8\nnode 22 should be visited before node13\nnode 22 should be visited before node25\nnode 22 should be visited before node2\nnode 22 should be visited before node6\nnode 22 should be visited before node0\nnode 22 should be visited before node5\nnode 22 should be visited before node16\nnode 22 should be visited before node9\nnode 22 should be visited before node19\nnode 22 should be visited before node26\nnode 22 should be visited before node3\nnode 23 should be visited before node24\nnode 23 should be visited before node0\nnode 23 should be visited before node5\nnode 23 should be visited before node16\nnode 23 should be visited before node15\nnode 23 should be visited before node9\nnode 23 should be visited before node26\nnode 24 should be visited before node16\nnode 24 should be visited before node21\nnode 24 should be visited before node15\nnode 24 should be visited before node7\nnode 24 should be visited before node9\nnode 24 should be visited before node19\nnode 24 should be visited before node26\nnode 24 should be visited before node3\nnode 24 should be visited before node12\nnode 25 should be visited before node10\nnode 25 should be visited before node4\nnode 25 should be visited before node2\nnode 25 should be visited before node6\nnode 25 should be visited before node24\nnode 25 should be visited before node5\nnode 25 should be visited before node21\nnode 25 should be visited before node7\nnode 25 should be visited before node11\nnode 25 should be visited before node9\nnode 25 should be visited before node1\nnode 25 should be visited before node3\nnode 26 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,22,17,18,8,13,23,25,10,4,6,2,24,0,5,16,7,9,21,15,11,19,26,20,1,3,12."
            }
        ]
    },
    {
        "id": "topology-hard-graph744",
        "image": "data/topology/graph_visual/hard/graph744.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node7\nnode 0 should be visited before node31\nnode 0 should be visited before node6\nnode 1 should be visited before node10\nnode 1 should be visited before node11\nnode 1 should be visited before node29\nnode 1 should be visited before node14\nnode 1 should be visited before node22\nnode 1 should be visited before node7\nnode 1 should be visited before node21\nnode 1 should be visited before node8\nnode 1 should be visited before node19\nnode 1 should be visited before node20\nnode 2 should be visited before node4\nnode 2 should be visited before node17\nnode 2 should be visited before node13\nnode 2 should be visited before node21\nnode 4 should be visited before node21\nnode 4 should be visited before node5\nnode 4 should be visited before node31\nnode 4 should be visited before node19\nnode 4 should be visited before node20\nnode 4 should be visited before node12\nnode 5 should be visited before node6\nnode 5 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 8 should be visited before node19\nnode 8 should be visited before node20\nnode 9 should be visited before node6\nnode 9 should be visited before node20\nnode 10 should be visited before node11\nnode 10 should be visited before node29\nnode 10 should be visited before node14\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node20\nnode 11 should be visited before node17\nnode 11 should be visited before node16\nnode 11 should be visited before node0\nnode 11 should be visited before node22\nnode 11 should be visited before node7\nnode 11 should be visited before node31\nnode 11 should be visited before node9\nnode 13 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node16\nnode 14 should be visited before node13\nnode 15 should be visited before node23\nnode 15 should be visited before node18\nnode 15 should be visited before node29\nnode 15 should be visited before node4\nnode 15 should be visited before node16\nnode 15 should be visited before node9\nnode 16 should be visited before node13\nnode 16 should be visited before node22\nnode 16 should be visited before node7\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 18 should be visited before node29\nnode 18 should be visited before node19\nnode 18 should be visited before node6\nnode 18 should be visited before node20\nnode 20 should be visited before node3\nnode 21 should be visited before node9\nnode 21 should be visited before node19\nnode 22 should be visited before node7\nnode 22 should be visited before node9\nnode 22 should be visited before node6\nnode 22 should be visited before node3\nnode 23 should be visited before node29\nnode 23 should be visited before node17\nnode 23 should be visited before node21\nnode 23 should be visited before node8\nnode 23 should be visited before node19\nnode 23 should be visited before node6\nnode 23 should be visited before node20\nnode 23 should be visited before node12\nnode 25 should be visited before node26\nnode 25 should be visited before node18\nnode 25 should be visited before node27\nnode 25 should be visited before node9\nnode 25 should be visited before node8\nnode 26 should be visited before node15\nnode 26 should be visited before node27\nnode 26 should be visited before node14\nnode 26 should be visited before node2\nnode 26 should be visited before node0\nnode 26 should be visited before node13\nnode 26 should be visited before node22\nnode 26 should be visited before node31\nnode 26 should be visited before node3\nnode 27 should be visited before node10\nnode 27 should be visited before node11\nnode 27 should be visited before node17\nnode 27 should be visited before node13\nnode 27 should be visited before node5\nnode 27 should be visited before node8\nnode 27 should be visited before node19\nnode 28 should be visited before node11\nnode 28 should be visited before node24\nnode 28 should be visited before node16\nnode 28 should be visited before node21\nnode 28 should be visited before node5\nnode 28 should be visited before node8\nnode 28 should be visited before node20\nnode 29 should be visited before node2\nnode 29 should be visited before node22\nnode 29 should be visited before node9\nnode 29 should be visited before node8\nnode 29 should be visited before node3\nnode 30 should be visited before node1\nnode 30 should be visited before node26\nnode 30 should be visited before node15\nnode 30 should be visited before node27\nnode 30 should be visited before node11\nnode 30 should be visited before node24\nnode 30 should be visited before node4\nnode 30 should be visited before node17\nnode 30 should be visited before node22\nnode 30 should be visited before node5\nnode 30 should be visited before node9\nnode 30 should be visited before node12\nnode 31 should be visited before node8\nnode 31 should be visited before node3\nnode 31 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "25,28,30,1,26,24,15,27,23,18,10,11,29,14,0,2,16,4,17,13,22,21,5,31,7,9,8,6,19,20,12,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph1147",
        "image": "data/topology/graph_visual/hard/graph1147.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node13\nnode 0 should be visited before node14\nnode 0 should be visited before node23\nnode 0 should be visited before node24\nnode 0 should be visited before node21\nnode 0 should be visited before node18\nnode 0 should be visited before node32\nnode 0 should be visited before node20\nnode 0 should be visited before node4\nnode 0 should be visited before node26\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 0 should be visited before node25\nnode 1 should be visited before node27\nnode 1 should be visited before node30\nnode 1 should be visited before node15\nnode 1 should be visited before node17\nnode 1 should be visited before node6\nnode 1 should be visited before node25\nnode 2 should be visited before node27\nnode 2 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node6\nnode 2 should be visited before node25\nnode 3 should be visited before node29\nnode 3 should be visited before node14\nnode 3 should be visited before node23\nnode 3 should be visited before node18\nnode 3 should be visited before node32\nnode 3 should be visited before node20\nnode 3 should be visited before node8\nnode 3 should be visited before node34\nnode 3 should be visited before node28\nnode 3 should be visited before node10\nnode 3 should be visited before node26\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 3 should be visited before node27\nnode 3 should be visited before node15\nnode 3 should be visited before node25\nnode 4 should be visited before node28\nnode 4 should be visited before node10\nnode 4 should be visited before node27\nnode 4 should be visited before node17\nnode 4 should be visited before node6\nnode 4 should be visited before node25\nnode 5 should be visited before node33\nnode 5 should be visited before node31\nnode 5 should be visited before node19\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node12\nnode 5 should be visited before node23\nnode 5 should be visited before node24\nnode 5 should be visited before node18\nnode 5 should be visited before node20\nnode 5 should be visited before node4\nnode 5 should be visited before node10\nnode 5 should be visited before node26\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node27\nnode 5 should be visited before node30\nnode 5 should be visited before node15\nnode 5 should be visited before node6\nnode 5 should be visited before node25\nnode 6 should be visited before node25\nnode 7 should be visited before node28\nnode 7 should be visited before node26\nnode 7 should be visited before node11\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node6\nnode 8 should be visited before node28\nnode 8 should be visited before node26\nnode 8 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node27\nnode 8 should be visited before node30\nnode 8 should be visited before node15\nnode 9 should be visited before node31\nnode 9 should be visited before node19\nnode 9 should be visited before node3\nnode 9 should be visited before node14\nnode 9 should be visited before node24\nnode 9 should be visited before node18\nnode 9 should be visited before node20\nnode 9 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node28\nnode 9 should be visited before node26\nnode 9 should be visited before node2\nnode 9 should be visited before node27\nnode 9 should be visited before node30\nnode 9 should be visited before node25\nnode 10 should be visited before node2\nnode 10 should be visited before node1\nnode 10 should be visited before node27\nnode 10 should be visited before node30\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 11 should be visited before node1\nnode 11 should be visited before node27\nnode 11 should be visited before node30\nnode 11 should be visited before node6\nnode 12 should be visited before node23\nnode 12 should be visited before node24\nnode 12 should be visited before node21\nnode 12 should be visited before node18\nnode 12 should be visited before node8\nnode 12 should be visited before node7\nnode 12 should be visited before node4\nnode 12 should be visited before node28\nnode 12 should be visited before node2\nnode 12 should be visited before node1\nnode 12 should be visited before node15\nnode 12 should be visited before node17\nnode 12 should be visited before node6\nnode 13 should be visited before node3\nnode 13 should be visited before node29\nnode 13 should be visited before node14\nnode 13 should be visited before node24\nnode 13 should be visited before node20\nnode 13 should be visited before node10\nnode 13 should be visited before node17\nnode 13 should be visited before node25\nnode 14 should be visited before node12\nnode 14 should be visited before node8\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 14 should be visited before node27\nnode 14 should be visited before node30\nnode 14 should be visited before node15\nnode 14 should be visited before node17\nnode 14 should be visited before node6\nnode 16 should be visited before node5\nnode 16 should be visited before node3\nnode 16 should be visited before node12\nnode 16 should be visited before node23\nnode 16 should be visited before node24\nnode 16 should be visited before node21\nnode 16 should be visited before node18\nnode 16 should be visited before node20\nnode 16 should be visited before node8\nnode 16 should be visited before node34\nnode 16 should be visited before node10\nnode 16 should be visited before node2\nnode 16 should be visited before node27\nnode 16 should be visited before node30\nnode 18 should be visited before node20\nnode 18 should be visited before node34\nnode 18 should be visited before node1\nnode 18 should be visited before node27\nnode 18 should be visited before node15\nnode 19 should be visited before node12\nnode 19 should be visited before node24\nnode 19 should be visited before node21\nnode 19 should be visited before node34\nnode 19 should be visited before node4\nnode 19 should be visited before node28\nnode 19 should be visited before node2\nnode 19 should be visited before node11\nnode 19 should be visited before node1\nnode 19 should be visited before node17\nnode 19 should be visited before node6\nnode 19 should be visited before node25\nnode 20 should be visited before node7\nnode 20 should be visited before node34\nnode 20 should be visited before node10\nnode 20 should be visited before node26\nnode 20 should be visited before node2\nnode 20 should be visited before node1\nnode 20 should be visited before node27\nnode 20 should be visited before node25\nnode 21 should be visited before node18\nnode 21 should be visited before node20\nnode 21 should be visited before node8\nnode 21 should be visited before node4\nnode 21 should be visited before node28\nnode 21 should be visited before node10\nnode 21 should be visited before node30\nnode 21 should be visited before node17\nnode 21 should be visited before node25\nnode 22 should be visited before node0\nnode 22 should be visited before node3\nnode 22 should be visited before node29\nnode 22 should be visited before node24\nnode 22 should be visited before node18\nnode 22 should be visited before node32\nnode 22 should be visited before node7\nnode 22 should be visited before node34\nnode 22 should be visited before node10\nnode 22 should be visited before node26\nnode 22 should be visited before node11\nnode 22 should be visited before node1\nnode 22 should be visited before node30\nnode 22 should be visited before node6\nnode 23 should be visited before node18\nnode 23 should be visited before node34\nnode 23 should be visited before node4\nnode 23 should be visited before node28\nnode 23 should be visited before node10\nnode 23 should be visited before node26\nnode 23 should be visited before node11\nnode 23 should be visited before node1\nnode 23 should be visited before node30\nnode 23 should be visited before node15\nnode 23 should be visited before node6\nnode 24 should be visited before node21\nnode 24 should be visited before node18\nnode 24 should be visited before node8\nnode 24 should be visited before node7\nnode 24 should be visited before node4\nnode 24 should be visited before node2\nnode 24 should be visited before node17\nnode 24 should be visited before node25\nnode 26 should be visited before node1\nnode 26 should be visited before node27\nnode 26 should be visited before node17\nnode 26 should be visited before node6\nnode 26 should be visited before node25\nnode 27 should be visited before node30\nnode 27 should be visited before node6\nnode 28 should be visited before node11\nnode 28 should be visited before node1\nnode 28 should be visited before node27\nnode 28 should be visited before node15\nnode 28 should be visited before node17\nnode 28 should be visited before node6\nnode 29 should be visited before node14\nnode 29 should be visited before node12\nnode 29 should be visited before node18\nnode 29 should be visited before node32\nnode 29 should be visited before node8\nnode 29 should be visited before node28\nnode 29 should be visited before node10\nnode 29 should be visited before node26\nnode 29 should be visited before node30\nnode 29 should be visited before node15\nnode 29 should be visited before node25\nnode 30 should be visited before node17\nnode 30 should be visited before node6\nnode 31 should be visited before node0\nnode 31 should be visited before node13\nnode 31 should be visited before node19\nnode 31 should be visited before node3\nnode 31 should be visited before node29\nnode 31 should be visited before node14\nnode 31 should be visited before node21\nnode 31 should be visited before node18\nnode 31 should be visited before node32\nnode 31 should be visited before node20\nnode 31 should be visited before node8\nnode 31 should be visited before node34\nnode 31 should be visited before node28\nnode 31 should be visited before node26\nnode 31 should be visited before node30\nnode 31 should be visited before node15\nnode 31 should be visited before node6\nnode 31 should be visited before node25\nnode 32 should be visited before node20\nnode 32 should be visited before node7\nnode 32 should be visited before node34\nnode 32 should be visited before node4\nnode 32 should be visited before node26\nnode 32 should be visited before node1\nnode 32 should be visited before node15\nnode 32 should be visited before node6\nnode 33 should be visited before node3\nnode 33 should be visited before node29\nnode 33 should be visited before node14\nnode 33 should be visited before node18\nnode 33 should be visited before node32\nnode 33 should be visited before node20\nnode 33 should be visited before node28\nnode 33 should be visited before node10\nnode 33 should be visited before node2\nnode 33 should be visited before node11\nnode 33 should be visited before node30\nnode 33 should be visited before node15\nnode 33 should be visited before node25\nnode 34 should be visited before node4\nnode 34 should be visited before node28\nnode 34 should be visited before node10\nnode 34 should be visited before node27\nnode 34 should be visited before node30\nnode 34 should be visited before node6\nnode 34 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,16,22,5,33,31,0,19,13,3,29,14,32,12,23,24,21,18,8,20,7,34,26,4,28,10,11,2,1,27,15,30,17,6,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph1131",
        "image": "data/topology/graph_visual/hard/graph1131.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node7\nnode 0 should be visited before node30\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 0 should be visited before node6\nnode 0 should be visited before node4\nnode 0 should be visited before node25\nnode 0 should be visited before node11\nnode 1 should be visited before node14\nnode 1 should be visited before node29\nnode 1 should be visited before node21\nnode 1 should be visited before node9\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node18\nnode 2 should be visited before node7\nnode 2 should be visited before node29\nnode 2 should be visited before node22\nnode 2 should be visited before node21\nnode 2 should be visited before node8\nnode 2 should be visited before node20\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node32\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 3 should be visited before node10\nnode 3 should be visited before node32\nnode 3 should be visited before node11\nnode 4 should be visited before node16\nnode 4 should be visited before node27\nnode 4 should be visited before node31\nnode 5 should be visited before node4\nnode 5 should be visited before node27\nnode 5 should be visited before node25\nnode 5 should be visited before node31\nnode 6 should be visited before node16\nnode 6 should be visited before node27\nnode 6 should be visited before node25\nnode 7 should be visited before node14\nnode 7 should be visited before node22\nnode 7 should be visited before node34\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node10\nnode 7 should be visited before node31\nnode 8 should be visited before node20\nnode 8 should be visited before node9\nnode 8 should be visited before node26\nnode 8 should be visited before node27\nnode 8 should be visited before node18\nnode 8 should be visited before node11\nnode 9 should be visited before node13\nnode 9 should be visited before node26\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node25\nnode 10 should be visited before node18\nnode 12 should be visited before node3\nnode 12 should be visited before node4\nnode 12 should be visited before node16\nnode 12 should be visited before node27\nnode 12 should be visited before node31\nnode 13 should be visited before node12\nnode 13 should be visited before node6\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node25\nnode 13 should be visited before node18\nnode 13 should be visited before node11\nnode 14 should be visited before node22\nnode 14 should be visited before node21\nnode 14 should be visited before node8\nnode 14 should be visited before node19\nnode 14 should be visited before node13\nnode 14 should be visited before node16\nnode 14 should be visited before node25\nnode 14 should be visited before node11\nnode 14 should be visited before node31\nnode 15 should be visited before node14\nnode 15 should be visited before node5\nnode 15 should be visited before node6\nnode 15 should be visited before node32\nnode 15 should be visited before node27\nnode 15 should be visited before node25\nnode 15 should be visited before node18\nnode 17 should be visited before node6\nnode 17 should be visited before node10\nnode 17 should be visited before node16\nnode 17 should be visited before node25\nnode 17 should be visited before node18\nnode 19 should be visited before node9\nnode 19 should be visited before node5\nnode 19 should be visited before node10\nnode 19 should be visited before node4\nnode 19 should be visited before node16\nnode 19 should be visited before node27\nnode 19 should be visited before node11\nnode 20 should be visited before node12\nnode 20 should be visited before node6\nnode 20 should be visited before node10\nnode 20 should be visited before node27\nnode 20 should be visited before node11\nnode 21 should be visited before node8\nnode 21 should be visited before node17\nnode 21 should be visited before node20\nnode 21 should be visited before node13\nnode 21 should be visited before node32\nnode 21 should be visited before node4\nnode 21 should be visited before node31\nnode 22 should be visited before node34\nnode 22 should be visited before node17\nnode 22 should be visited before node3\nnode 22 should be visited before node26\nnode 22 should be visited before node5\nnode 22 should be visited before node27\nnode 22 should be visited before node11\nnode 23 should be visited before node30\nnode 23 should be visited before node21\nnode 23 should be visited before node8\nnode 23 should be visited before node34\nnode 23 should be visited before node3\nnode 23 should be visited before node26\nnode 23 should be visited before node16\nnode 24 should be visited before node28\nnode 24 should be visited before node23\nnode 24 should be visited before node30\nnode 24 should be visited before node21\nnode 24 should be visited before node8\nnode 24 should be visited before node20\nnode 24 should be visited before node9\nnode 24 should be visited before node12\nnode 24 should be visited before node25\nnode 24 should be visited before node31\nnode 25 should be visited before node11\nnode 26 should be visited before node16\nnode 26 should be visited before node31\nnode 27 should be visited before node18\nnode 28 should be visited before node15\nnode 28 should be visited before node23\nnode 28 should be visited before node30\nnode 28 should be visited before node22\nnode 28 should be visited before node21\nnode 28 should be visited before node34\nnode 29 should be visited before node22\nnode 29 should be visited before node34\nnode 29 should be visited before node17\nnode 29 should be visited before node13\nnode 29 should be visited before node3\nnode 29 should be visited before node26\nnode 29 should be visited before node6\nnode 29 should be visited before node10\nnode 29 should be visited before node4\nnode 29 should be visited before node25\nnode 30 should be visited before node8\nnode 30 should be visited before node34\nnode 30 should be visited before node20\nnode 30 should be visited before node26\nnode 30 should be visited before node6\nnode 30 should be visited before node16\nnode 30 should be visited before node18\nnode 32 should be visited before node25\nnode 32 should be visited before node31\nnode 33 should be visited before node7\nnode 33 should be visited before node29\nnode 33 should be visited before node8\nnode 33 should be visited before node34\nnode 33 should be visited before node4\nnode 33 should be visited before node16\nnode 34 should be visited before node20\nnode 34 should be visited before node9\nnode 34 should be visited before node13\nnode 34 should be visited before node12\nnode 34 should be visited before node3\nnode 34 should be visited before node26\nnode 34 should be visited before node6\nnode 34 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,2,24,33,28,7,29,15,23,14,30,22,21,19,34,8,17,20,9,13,26,5,12,6,3,4,10,32,16,27,25,31,18,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph1067",
        "image": "data/topology/graph_visual/hard/graph1067.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node30\nnode 0 should be visited before node32\nnode 0 should be visited before node14\nnode 0 should be visited before node17\nnode 0 should be visited before node3\nnode 0 should be visited before node16\nnode 0 should be visited before node28\nnode 0 should be visited before node33\nnode 0 should be visited before node22\nnode 0 should be visited before node2\nnode 0 should be visited before node10\nnode 0 should be visited before node13\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node12\nnode 0 should be visited before node21\nnode 1 should be visited before node9\nnode 1 should be visited before node12\nnode 1 should be visited before node21\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node21\nnode 3 should be visited before node16\nnode 3 should be visited before node31\nnode 3 should be visited before node28\nnode 3 should be visited before node10\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node13\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node19\nnode 3 should be visited before node12\nnode 4 should be visited before node21\nnode 5 should be visited before node16\nnode 5 should be visited before node28\nnode 5 should be visited before node33\nnode 5 should be visited before node22\nnode 5 should be visited before node2\nnode 5 should be visited before node6\nnode 5 should be visited before node7\nnode 5 should be visited before node4\nnode 5 should be visited before node21\nnode 6 should be visited before node12\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 8 should be visited before node3\nnode 8 should be visited before node25\nnode 8 should be visited before node5\nnode 8 should be visited before node16\nnode 8 should be visited before node23\nnode 8 should be visited before node22\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 8 should be visited before node13\nnode 8 should be visited before node6\nnode 8 should be visited before node19\nnode 8 should be visited before node21\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 10 should be visited before node9\nnode 10 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node12\nnode 10 should be visited before node21\nnode 11 should be visited before node32\nnode 11 should be visited before node18\nnode 11 should be visited before node14\nnode 11 should be visited before node17\nnode 11 should be visited before node5\nnode 11 should be visited before node23\nnode 11 should be visited before node22\nnode 11 should be visited before node10\nnode 11 should be visited before node9\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 12 should be visited before node21\nnode 13 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node19\nnode 13 should be visited before node12\nnode 13 should be visited before node21\nnode 14 should be visited before node8\nnode 14 should be visited before node24\nnode 14 should be visited before node3\nnode 14 should be visited before node25\nnode 14 should be visited before node16\nnode 14 should be visited before node31\nnode 14 should be visited before node28\nnode 14 should be visited before node22\nnode 14 should be visited before node1\nnode 14 should be visited before node13\nnode 14 should be visited before node6\nnode 14 should be visited before node7\nnode 14 should be visited before node21\nnode 15 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node17\nnode 15 should be visited before node24\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 15 should be visited before node16\nnode 15 should be visited before node31\nnode 15 should be visited before node28\nnode 15 should be visited before node27\nnode 15 should be visited before node10\nnode 15 should be visited before node1\nnode 15 should be visited before node9\nnode 15 should be visited before node19\nnode 15 should be visited before node4\nnode 16 should be visited before node31\nnode 16 should be visited before node22\nnode 16 should be visited before node27\nnode 16 should be visited before node2\nnode 16 should be visited before node1\nnode 16 should be visited before node9\nnode 16 should be visited before node7\nnode 16 should be visited before node19\nnode 16 should be visited before node21\nnode 17 should be visited before node8\nnode 17 should be visited before node3\nnode 17 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node28\nnode 17 should be visited before node33\nnode 17 should be visited before node23\nnode 17 should be visited before node22\nnode 17 should be visited before node27\nnode 17 should be visited before node2\nnode 17 should be visited before node10\nnode 17 should be visited before node9\nnode 17 should be visited before node13\nnode 17 should be visited before node7\nnode 17 should be visited before node19\nnode 17 should be visited before node12\nnode 17 should be visited before node21\nnode 18 should be visited before node5\nnode 18 should be visited before node16\nnode 18 should be visited before node31\nnode 18 should be visited before node28\nnode 18 should be visited before node33\nnode 18 should be visited before node23\nnode 18 should be visited before node22\nnode 18 should be visited before node27\nnode 18 should be visited before node2\nnode 18 should be visited before node10\nnode 18 should be visited before node6\nnode 18 should be visited before node7\nnode 18 should be visited before node19\nnode 18 should be visited before node4\nnode 18 should be visited before node12\nnode 19 should be visited before node21\nnode 20 should be visited before node11\nnode 20 should be visited before node17\nnode 20 should be visited before node8\nnode 20 should be visited before node24\nnode 20 should be visited before node5\nnode 20 should be visited before node31\nnode 20 should be visited before node28\nnode 20 should be visited before node33\nnode 20 should be visited before node23\nnode 20 should be visited before node22\nnode 20 should be visited before node27\nnode 20 should be visited before node2\nnode 20 should be visited before node10\nnode 20 should be visited before node6\nnode 20 should be visited before node19\nnode 20 should be visited before node4\nnode 20 should be visited before node12\nnode 22 should be visited before node27\nnode 22 should be visited before node10\nnode 22 should be visited before node9\nnode 22 should be visited before node6\nnode 22 should be visited before node7\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node12\nnode 22 should be visited before node21\nnode 23 should be visited before node22\nnode 23 should be visited before node1\nnode 23 should be visited before node7\nnode 23 should be visited before node19\nnode 23 should be visited before node21\nnode 24 should be visited before node31\nnode 24 should be visited before node28\nnode 24 should be visited before node23\nnode 24 should be visited before node27\nnode 24 should be visited before node1\nnode 24 should be visited before node9\nnode 24 should be visited before node6\nnode 24 should be visited before node4\nnode 25 should be visited before node33\nnode 25 should be visited before node22\nnode 25 should be visited before node27\nnode 25 should be visited before node2\nnode 25 should be visited before node10\nnode 25 should be visited before node9\nnode 25 should be visited before node6\nnode 25 should be visited before node7\nnode 25 should be visited before node4\nnode 25 should be visited before node12\nnode 26 should be visited before node30\nnode 26 should be visited before node32\nnode 26 should be visited before node14\nnode 26 should be visited before node17\nnode 26 should be visited before node24\nnode 26 should be visited before node25\nnode 26 should be visited before node23\nnode 26 should be visited before node22\nnode 26 should be visited before node2\nnode 26 should be visited before node10\nnode 26 should be visited before node13\nnode 26 should be visited before node7\nnode 27 should be visited before node2\nnode 27 should be visited before node10\nnode 27 should be visited before node1\nnode 27 should be visited before node9\nnode 27 should be visited before node7\nnode 27 should be visited before node19\nnode 27 should be visited before node4\nnode 28 should be visited before node2\nnode 28 should be visited before node10\nnode 28 should be visited before node13\nnode 28 should be visited before node6\nnode 28 should be visited before node19\nnode 28 should be visited before node4\nnode 28 should be visited before node21\nnode 29 should be visited before node30\nnode 29 should be visited before node14\nnode 29 should be visited before node17\nnode 29 should be visited before node24\nnode 29 should be visited before node3\nnode 29 should be visited before node5\nnode 29 should be visited before node16\nnode 29 should be visited before node31\nnode 29 should be visited before node28\nnode 29 should be visited before node23\nnode 29 should be visited before node22\nnode 29 should be visited before node9\nnode 29 should be visited before node13\nnode 29 should be visited before node12\nnode 30 should be visited before node20\nnode 30 should be visited before node18\nnode 30 should be visited before node17\nnode 30 should be visited before node24\nnode 30 should be visited before node25\nnode 30 should be visited before node33\nnode 30 should be visited before node22\nnode 30 should be visited before node9\nnode 30 should be visited before node6\nnode 30 should be visited before node19\nnode 30 should be visited before node12\nnode 30 should be visited before node21\nnode 31 should be visited before node28\nnode 31 should be visited before node33\nnode 31 should be visited before node23\nnode 31 should be visited before node27\nnode 31 should be visited before node2\nnode 31 should be visited before node1\nnode 31 should be visited before node13\nnode 31 should be visited before node6\nnode 31 should be visited before node7\nnode 31 should be visited before node4\nnode 32 should be visited before node3\nnode 32 should be visited before node25\nnode 32 should be visited before node31\nnode 32 should be visited before node23\nnode 32 should be visited before node22\nnode 32 should be visited before node10\nnode 32 should be visited before node1\nnode 32 should be visited before node9\nnode 32 should be visited before node7\nnode 33 should be visited before node23\nnode 33 should be visited before node22\nnode 33 should be visited before node27\nnode 33 should be visited before node10\nnode 33 should be visited before node9\nnode 33 should be visited before node13\nnode 33 should be visited before node4\nnode 33 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,15,26,29,30,20,11,32,18,14,17,24,8,3,25,5,16,31,28,33,23,22,27,2,10,1,9,13,6,7,19,4,12,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph435",
        "image": "data/topology/graph_visual/hard/graph435.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node19\nnode 0 should be visited before node4\nnode 0 should be visited before node17\nnode 0 should be visited before node1\nnode 0 should be visited before node12\nnode 0 should be visited before node21\nnode 1 should be visited before node12\nnode 1 should be visited before node21\nnode 2 should be visited before node26\nnode 2 should be visited before node24\nnode 2 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 3 should be visited before node18\nnode 3 should be visited before node25\nnode 3 should be visited before node26\nnode 3 should be visited before node24\nnode 3 should be visited before node0\nnode 3 should be visited before node19\nnode 3 should be visited before node4\nnode 3 should be visited before node17\nnode 3 should be visited before node5\nnode 4 should be visited before node20\nnode 4 should be visited before node6\nnode 4 should be visited before node17\nnode 4 should be visited before node1\nnode 4 should be visited before node21\nnode 5 should be visited before node12\nnode 6 should be visited before node17\nnode 6 should be visited before node12\nnode 7 should be visited before node25\nnode 7 should be visited before node26\nnode 7 should be visited before node24\nnode 7 should be visited before node0\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node17\nnode 7 should be visited before node21\nnode 8 should be visited before node22\nnode 8 should be visited before node27\nnode 8 should be visited before node3\nnode 8 should be visited before node18\nnode 8 should be visited before node11\nnode 8 should be visited before node25\nnode 8 should be visited before node24\nnode 8 should be visited before node19\nnode 8 should be visited before node4\nnode 8 should be visited before node6\nnode 8 should be visited before node17\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node21\nnode 9 should be visited before node5\nnode 9 should be visited before node12\nnode 10 should be visited before node2\nnode 10 should be visited before node18\nnode 10 should be visited before node26\nnode 10 should be visited before node24\nnode 10 should be visited before node4\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node21\nnode 11 should be visited before node7\nnode 11 should be visited before node25\nnode 11 should be visited before node0\nnode 11 should be visited before node20\nnode 11 should be visited before node5\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 12 should be visited before node21\nnode 13 should be visited before node15\nnode 13 should be visited before node23\nnode 13 should be visited before node28\nnode 13 should be visited before node8\nnode 13 should be visited before node27\nnode 13 should be visited before node3\nnode 13 should be visited before node18\nnode 13 should be visited before node24\nnode 13 should be visited before node4\nnode 13 should be visited before node20\nnode 13 should be visited before node9\nnode 13 should be visited before node6\nnode 13 should be visited before node17\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 14 should be visited before node13\nnode 14 should be visited before node23\nnode 14 should be visited before node22\nnode 14 should be visited before node27\nnode 14 should be visited before node24\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node6\nnode 14 should be visited before node17\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 15 should be visited before node8\nnode 15 should be visited before node11\nnode 15 should be visited before node19\nnode 15 should be visited before node4\nnode 15 should be visited before node20\nnode 15 should be visited before node6\nnode 15 should be visited before node5\nnode 15 should be visited before node12\nnode 16 should be visited before node28\nnode 16 should be visited before node8\nnode 16 should be visited before node22\nnode 16 should be visited before node27\nnode 16 should be visited before node10\nnode 16 should be visited before node18\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node24\nnode 16 should be visited before node0\nnode 16 should be visited before node19\nnode 16 should be visited before node20\nnode 16 should be visited before node9\nnode 16 should be visited before node17\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 16 should be visited before node12\nnode 16 should be visited before node21\nnode 17 should be visited before node1\nnode 17 should be visited before node12\nnode 17 should be visited before node21\nnode 18 should be visited before node11\nnode 18 should be visited before node25\nnode 18 should be visited before node26\nnode 18 should be visited before node0\nnode 18 should be visited before node19\nnode 18 should be visited before node4\nnode 18 should be visited before node20\nnode 18 should be visited before node6\nnode 18 should be visited before node12\nnode 19 should be visited before node4\nnode 19 should be visited before node20\nnode 19 should be visited before node1\nnode 19 should be visited before node12\nnode 19 should be visited before node21\nnode 20 should be visited before node9\nnode 20 should be visited before node1\nnode 22 should be visited before node27\nnode 22 should be visited before node3\nnode 22 should be visited before node2\nnode 22 should be visited before node18\nnode 22 should be visited before node11\nnode 22 should be visited before node7\nnode 22 should be visited before node25\nnode 22 should be visited before node26\nnode 22 should be visited before node4\nnode 22 should be visited before node20\nnode 22 should be visited before node9\nnode 22 should be visited before node6\nnode 22 should be visited before node5\nnode 22 should be visited before node1\nnode 22 should be visited before node12\nnode 23 should be visited before node28\nnode 23 should be visited before node8\nnode 23 should be visited before node2\nnode 23 should be visited before node11\nnode 23 should be visited before node7\nnode 23 should be visited before node25\nnode 23 should be visited before node0\nnode 23 should be visited before node17\nnode 23 should be visited before node5\nnode 23 should be visited before node21\nnode 24 should be visited before node0\nnode 24 should be visited before node19\nnode 24 should be visited before node4\nnode 24 should be visited before node20\nnode 24 should be visited before node6\nnode 24 should be visited before node17\nnode 24 should be visited before node5\nnode 24 should be visited before node1\nnode 24 should be visited before node12\nnode 24 should be visited before node21\nnode 25 should be visited before node0\nnode 25 should be visited before node19\nnode 25 should be visited before node4\nnode 25 should be visited before node9\nnode 25 should be visited before node17\nnode 25 should be visited before node5\nnode 25 should be visited before node1\nnode 25 should be visited before node12\nnode 26 should be visited before node19\nnode 26 should be visited before node4\nnode 26 should be visited before node20\nnode 26 should be visited before node9\nnode 26 should be visited before node17\nnode 26 should be visited before node21\nnode 27 should be visited before node10\nnode 27 should be visited before node3\nnode 27 should be visited before node2\nnode 27 should be visited before node7\nnode 27 should be visited before node26\nnode 27 should be visited before node0\nnode 27 should be visited before node4\nnode 27 should be visited before node20\nnode 27 should be visited before node5\nnode 27 should be visited before node1\nnode 27 should be visited before node12\nnode 28 should be visited before node10\nnode 28 should be visited before node3\nnode 28 should be visited before node2\nnode 28 should be visited before node11\nnode 28 should be visited before node7\nnode 28 should be visited before node26\nnode 28 should be visited before node0\nnode 28 should be visited before node19\nnode 28 should be visited before node20\nnode 28 should be visited before node9\nnode 28 should be visited before node5\nnode 28 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,16,13,15,23,28,8,22,27,10,3,2,18,11,7,25,26,24,0,19,4,20,6,9,17,5,1,12,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph79",
        "image": "data/topology/graph_visual/hard/graph79.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node16\nnode 0 should be visited before node15\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 0 should be visited before node22\nnode 0 should be visited before node11\nnode 0 should be visited before node19\nnode 0 should be visited before node1\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 2 should be visited before node20\nnode 2 should be visited before node12\nnode 2 should be visited before node17\nnode 2 should be visited before node24\nnode 2 should be visited before node1\nnode 2 should be visited before node9\nnode 4 should be visited before node21\nnode 4 should be visited before node20\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 4 should be visited before node0\nnode 4 should be visited before node25\nnode 4 should be visited before node15\nnode 4 should be visited before node23\nnode 4 should be visited before node5\nnode 4 should be visited before node22\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 5 should be visited before node24\nnode 5 should be visited before node11\nnode 5 should be visited before node19\nnode 5 should be visited before node10\nnode 5 should be visited before node9\nnode 6 should be visited before node18\nnode 6 should be visited before node15\nnode 6 should be visited before node14\nnode 6 should be visited before node23\nnode 6 should be visited before node5\nnode 6 should be visited before node22\nnode 6 should be visited before node24\nnode 6 should be visited before node19\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node22\nnode 7 should be visited before node1\nnode 7 should be visited before node9\nnode 8 should be visited before node21\nnode 8 should be visited before node17\nnode 8 should be visited before node7\nnode 8 should be visited before node6\nnode 8 should be visited before node18\nnode 8 should be visited before node25\nnode 8 should be visited before node16\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node24\nnode 8 should be visited before node11\nnode 8 should be visited before node19\nnode 8 should be visited before node1\nnode 8 should be visited before node10\nnode 10 should be visited before node9\nnode 11 should be visited before node19\nnode 11 should be visited before node9\nnode 12 should be visited before node0\nnode 12 should be visited before node25\nnode 12 should be visited before node16\nnode 12 should be visited before node14\nnode 12 should be visited before node5\nnode 12 should be visited before node24\nnode 12 should be visited before node11\nnode 13 should be visited before node24\nnode 13 should be visited before node11\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 14 should be visited before node24\nnode 14 should be visited before node11\nnode 14 should be visited before node9\nnode 15 should be visited before node23\nnode 15 should be visited before node13\nnode 15 should be visited before node22\nnode 15 should be visited before node11\nnode 15 should be visited before node19\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 16 should be visited before node15\nnode 16 should be visited before node13\nnode 16 should be visited before node5\nnode 16 should be visited before node24\nnode 16 should be visited before node11\nnode 16 should be visited before node19\nnode 17 should be visited before node14\nnode 17 should be visited before node23\nnode 17 should be visited before node11\nnode 17 should be visited before node1\nnode 17 should be visited before node3\nnode 18 should be visited before node25\nnode 18 should be visited before node14\nnode 18 should be visited before node23\nnode 18 should be visited before node13\nnode 18 should be visited before node5\nnode 19 should be visited before node1\nnode 20 should be visited before node12\nnode 20 should be visited before node7\nnode 20 should be visited before node25\nnode 20 should be visited before node16\nnode 20 should be visited before node15\nnode 20 should be visited before node14\nnode 20 should be visited before node23\nnode 20 should be visited before node13\nnode 20 should be visited before node5\nnode 20 should be visited before node22\nnode 20 should be visited before node19\nnode 21 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node6\nnode 21 should be visited before node0\nnode 21 should be visited before node25\nnode 21 should be visited before node16\nnode 21 should be visited before node14\nnode 21 should be visited before node13\nnode 21 should be visited before node24\nnode 21 should be visited before node19\nnode 22 should be visited before node11\nnode 22 should be visited before node1\nnode 22 should be visited before node3\nnode 22 should be visited before node9\nnode 23 should be visited before node13\nnode 23 should be visited before node5\nnode 23 should be visited before node19\nnode 24 should be visited before node1\nnode 25 should be visited before node14\nnode 25 should be visited before node22\nnode 25 should be visited before node24\nnode 25 should be visited before node1\nnode 25 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,21,2,6,20,17,18,12,7,25,0,16,14,15,23,22,13,5,24,11,19,1,3,10,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph659",
        "image": "data/topology/graph_visual/hard/graph659.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node23\nnode 0 should be visited before node18\nnode 0 should be visited before node27\nnode 0 should be visited before node15\nnode 1 should be visited before node29\nnode 1 should be visited before node30\nnode 1 should be visited before node17\nnode 1 should be visited before node3\nnode 2 should be visited before node12\nnode 2 should be visited before node20\nnode 2 should be visited before node14\nnode 2 should be visited before node28\nnode 2 should be visited before node29\nnode 2 should be visited before node11\nnode 2 should be visited before node21\nnode 4 should be visited before node19\nnode 4 should be visited before node12\nnode 4 should be visited before node14\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 5 should be visited before node12\nnode 5 should be visited before node9\nnode 5 should be visited before node22\nnode 5 should be visited before node14\nnode 5 should be visited before node26\nnode 5 should be visited before node28\nnode 5 should be visited before node6\nnode 5 should be visited before node13\nnode 5 should be visited before node21\nnode 6 should be visited before node10\nnode 6 should be visited before node27\nnode 6 should be visited before node21\nnode 6 should be visited before node3\nnode 7 should be visited before node12\nnode 7 should be visited before node23\nnode 7 should be visited before node29\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 7 should be visited before node8\nnode 8 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node29\nnode 9 should be visited before node30\nnode 9 should be visited before node15\nnode 10 should be visited before node15\nnode 10 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node15\nnode 11 should be visited before node3\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 12 should be visited before node29\nnode 12 should be visited before node6\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node23\nnode 14 should be visited before node29\nnode 14 should be visited before node18\nnode 14 should be visited before node11\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 14 should be visited before node21\nnode 15 should be visited before node3\nnode 16 should be visited before node25\nnode 16 should be visited before node5\nnode 16 should be visited before node2\nnode 16 should be visited before node26\nnode 16 should be visited before node1\nnode 16 should be visited before node0\nnode 16 should be visited before node28\nnode 16 should be visited before node29\nnode 16 should be visited before node6\nnode 16 should be visited before node15\nnode 18 should be visited before node11\nnode 18 should be visited before node15\nnode 19 should be visited before node29\nnode 19 should be visited before node6\nnode 19 should be visited before node21\nnode 19 should be visited before node3\nnode 20 should be visited before node1\nnode 20 should be visited before node6\nnode 20 should be visited before node27\nnode 20 should be visited before node11\nnode 20 should be visited before node13\nnode 20 should be visited before node21\nnode 20 should be visited before node8\nnode 21 should be visited before node8\nnode 21 should be visited before node15\nnode 21 should be visited before node3\nnode 22 should be visited before node1\nnode 22 should be visited before node23\nnode 22 should be visited before node28\nnode 22 should be visited before node29\nnode 22 should be visited before node6\nnode 22 should be visited before node10\nnode 23 should be visited before node29\nnode 23 should be visited before node27\nnode 23 should be visited before node11\nnode 23 should be visited before node15\nnode 24 should be visited before node19\nnode 24 should be visited before node12\nnode 24 should be visited before node20\nnode 24 should be visited before node14\nnode 24 should be visited before node0\nnode 24 should be visited before node28\nnode 24 should be visited before node29\nnode 24 should be visited before node6\nnode 24 should be visited before node11\nnode 24 should be visited before node13\nnode 25 should be visited before node5\nnode 25 should be visited before node12\nnode 25 should be visited before node26\nnode 25 should be visited before node23\nnode 25 should be visited before node18\nnode 26 should be visited before node0\nnode 26 should be visited before node23\nnode 26 should be visited before node28\nnode 26 should be visited before node30\nnode 26 should be visited before node6\nnode 26 should be visited before node10\nnode 26 should be visited before node17\nnode 26 should be visited before node13\nnode 27 should be visited before node13\nnode 27 should be visited before node8\nnode 28 should be visited before node6\nnode 28 should be visited before node10\nnode 28 should be visited before node15\nnode 29 should be visited before node18\nnode 29 should be visited before node17\nnode 29 should be visited before node15\nnode 29 should be visited before node3\nnode 30 should be visited before node17\nnode 30 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,7,16,24,25,2,19,5,12,9,26,20,22,14,1,28,0,30,6,23,10,21,29,27,18,17,8,11,13,15,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph199",
        "image": "data/topology/graph_visual/hard/graph199.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node16\nnode 0 should be visited before node20\nnode 0 should be visited before node26\nnode 0 should be visited before node14\nnode 0 should be visited before node12\nnode 0 should be visited before node10\nnode 0 should be visited before node24\nnode 0 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node9\nnode 1 should be visited before node20\nnode 1 should be visited before node26\nnode 1 should be visited before node14\nnode 1 should be visited before node12\nnode 2 should be visited before node17\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node23\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 3 should be visited before node6\nnode 4 should be visited before node19\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node13\nnode 4 should be visited before node23\nnode 4 should be visited before node20\nnode 4 should be visited before node26\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 4 should be visited before node22\nnode 4 should be visited before node10\nnode 5 should be visited before node21\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node19\nnode 5 should be visited before node18\nnode 5 should be visited before node23\nnode 5 should be visited before node20\nnode 5 should be visited before node26\nnode 5 should be visited before node24\nnode 5 should be visited before node3\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node19\nnode 7 should be visited before node16\nnode 7 should be visited before node18\nnode 7 should be visited before node13\nnode 7 should be visited before node9\nnode 7 should be visited before node20\nnode 7 should be visited before node22\nnode 7 should be visited before node10\nnode 7 should be visited before node24\nnode 7 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node21\nnode 8 should be visited before node17\nnode 8 should be visited before node1\nnode 8 should be visited before node0\nnode 8 should be visited before node13\nnode 8 should be visited before node20\nnode 8 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node24\nnode 9 should be visited before node20\nnode 9 should be visited before node26\nnode 9 should be visited before node14\nnode 9 should be visited before node22\nnode 9 should be visited before node10\nnode 9 should be visited before node24\nnode 9 should be visited before node3\nnode 10 should be visited before node6\nnode 11 should be visited before node25\nnode 11 should be visited before node5\nnode 11 should be visited before node8\nnode 11 should be visited before node2\nnode 11 should be visited before node21\nnode 11 should be visited before node7\nnode 11 should be visited before node17\nnode 11 should be visited before node1\nnode 11 should be visited before node13\nnode 11 should be visited before node20\nnode 11 should be visited before node26\nnode 11 should be visited before node22\nnode 11 should be visited before node24\nnode 12 should be visited before node24\nnode 13 should be visited before node9\nnode 13 should be visited before node26\nnode 13 should be visited before node14\nnode 13 should be visited before node12\nnode 13 should be visited before node22\nnode 13 should be visited before node10\nnode 13 should be visited before node3\nnode 14 should be visited before node22\nnode 15 should be visited before node4\nnode 15 should be visited before node8\nnode 15 should be visited before node21\nnode 15 should be visited before node7\nnode 15 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node13\nnode 15 should be visited before node9\nnode 15 should be visited before node26\nnode 15 should be visited before node14\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node6\nnode 16 should be visited before node23\nnode 16 should be visited before node20\nnode 16 should be visited before node26\nnode 16 should be visited before node14\nnode 16 should be visited before node12\nnode 16 should be visited before node10\nnode 16 should be visited before node24\nnode 16 should be visited before node3\nnode 16 should be visited before node6\nnode 17 should be visited before node0\nnode 17 should be visited before node23\nnode 17 should be visited before node26\nnode 17 should be visited before node10\nnode 17 should be visited before node24\nnode 17 should be visited before node3\nnode 17 should be visited before node6\nnode 18 should be visited before node26\nnode 18 should be visited before node22\nnode 18 should be visited before node24\nnode 18 should be visited before node3\nnode 18 should be visited before node6\nnode 19 should be visited before node16\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node12\nnode 19 should be visited before node22\nnode 19 should be visited before node24\nnode 20 should be visited before node26\nnode 20 should be visited before node22\nnode 20 should be visited before node10\nnode 20 should be visited before node24\nnode 21 should be visited before node1\nnode 21 should be visited before node19\nnode 21 should be visited before node18\nnode 21 should be visited before node13\nnode 21 should be visited before node20\nnode 21 should be visited before node14\nnode 21 should be visited before node12\nnode 21 should be visited before node6\nnode 22 should be visited before node24\nnode 22 should be visited before node3\nnode 23 should be visited before node9\nnode 23 should be visited before node20\nnode 23 should be visited before node12\nnode 23 should be visited before node22\nnode 23 should be visited before node3\nnode 24 should be visited before node6\nnode 25 should be visited before node21\nnode 25 should be visited before node7\nnode 25 should be visited before node17\nnode 25 should be visited before node19\nnode 25 should be visited before node16\nnode 25 should be visited before node18\nnode 25 should be visited before node23\nnode 25 should be visited before node20\nnode 25 should be visited before node12\nnode 25 should be visited before node10\nnode 25 should be visited before node24\nnode 26 should be visited before node14\nnode 26 should be visited before node12\nnode 26 should be visited before node22\nnode 26 should be visited before node10\nnode 26 should be visited before node3\nnode 26 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,15,25,5,4,8,7,2,21,17,1,19,18,0,13,16,23,9,20,26,14,12,10,22,24,3,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph848",
        "image": "data/topology/graph_visual/hard/graph848.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node19\nnode 0 should be visited before node14\nnode 0 should be visited before node8\nnode 0 should be visited before node30\nnode 1 should be visited before node27\nnode 1 should be visited before node19\nnode 1 should be visited before node14\nnode 1 should be visited before node28\nnode 1 should be visited before node20\nnode 1 should be visited before node8\nnode 1 should be visited before node16\nnode 1 should be visited before node11\nnode 1 should be visited before node25\nnode 2 should be visited before node30\nnode 2 should be visited before node25\nnode 3 should be visited before node2\nnode 3 should be visited before node16\nnode 4 should be visited before node32\nnode 4 should be visited before node22\nnode 4 should be visited before node7\nnode 4 should be visited before node20\nnode 4 should be visited before node15\nnode 4 should be visited before node30\nnode 4 should be visited before node11\nnode 4 should be visited before node25\nnode 5 should be visited before node6\nnode 5 should be visited before node14\nnode 5 should be visited before node20\nnode 5 should be visited before node15\nnode 5 should be visited before node17\nnode 5 should be visited before node8\nnode 6 should be visited before node18\nnode 6 should be visited before node15\nnode 6 should be visited before node17\nnode 6 should be visited before node23\nnode 6 should be visited before node2\nnode 6 should be visited before node30\nnode 6 should be visited before node25\nnode 7 should be visited before node27\nnode 7 should be visited before node15\nnode 7 should be visited before node2\nnode 7 should be visited before node16\nnode 7 should be visited before node25\nnode 8 should be visited before node30\nnode 8 should be visited before node11\nnode 9 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node6\nnode 9 should be visited before node28\nnode 9 should be visited before node10\nnode 9 should be visited before node18\nnode 9 should be visited before node20\nnode 9 should be visited before node2\nnode 10 should be visited before node18\nnode 10 should be visited before node15\nnode 10 should be visited before node23\nnode 10 should be visited before node16\nnode 12 should be visited before node27\nnode 12 should be visited before node24\nnode 12 should be visited before node14\nnode 12 should be visited before node28\nnode 12 should be visited before node10\nnode 12 should be visited before node15\nnode 12 should be visited before node2\nnode 12 should be visited before node16\nnode 12 should be visited before node25\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 13 should be visited before node30\nnode 14 should be visited before node18\nnode 14 should be visited before node13\nnode 15 should be visited before node23\nnode 16 should be visited before node25\nnode 17 should be visited before node16\nnode 17 should be visited before node11\nnode 17 should be visited before node25\nnode 18 should be visited before node13\nnode 18 should be visited before node17\nnode 18 should be visited before node8\nnode 18 should be visited before node30\nnode 18 should be visited before node11\nnode 19 should be visited before node20\nnode 19 should be visited before node13\nnode 19 should be visited before node17\nnode 19 should be visited before node8\nnode 19 should be visited before node3\nnode 19 should be visited before node11\nnode 20 should be visited before node13\nnode 20 should be visited before node3\nnode 20 should be visited before node16\nnode 20 should be visited before node30\nnode 21 should be visited before node9\nnode 21 should be visited before node7\nnode 21 should be visited before node29\nnode 21 should be visited before node19\nnode 21 should be visited before node6\nnode 21 should be visited before node13\nnode 21 should be visited before node8\nnode 21 should be visited before node2\nnode 21 should be visited before node16\nnode 21 should be visited before node30\nnode 21 should be visited before node25\nnode 22 should be visited before node1\nnode 22 should be visited before node0\nnode 22 should be visited before node19\nnode 22 should be visited before node15\nnode 22 should be visited before node23\nnode 22 should be visited before node8\nnode 22 should be visited before node16\nnode 23 should be visited before node8\nnode 23 should be visited before node3\nnode 23 should be visited before node2\nnode 24 should be visited before node0\nnode 24 should be visited before node5\nnode 24 should be visited before node6\nnode 24 should be visited before node17\nnode 24 should be visited before node8\nnode 26 should be visited before node22\nnode 26 should be visited before node21\nnode 26 should be visited before node27\nnode 26 should be visited before node28\nnode 26 should be visited before node18\nnode 26 should be visited before node17\nnode 26 should be visited before node23\nnode 26 should be visited before node8\nnode 26 should be visited before node2\nnode 26 should be visited before node16\nnode 26 should be visited before node30\nnode 27 should be visited before node0\nnode 27 should be visited before node18\nnode 27 should be visited before node13\nnode 27 should be visited before node23\nnode 28 should be visited before node18\nnode 28 should be visited before node15\nnode 28 should be visited before node23\nnode 29 should be visited before node24\nnode 29 should be visited before node19\nnode 29 should be visited before node6\nnode 29 should be visited before node20\nnode 29 should be visited before node23\nnode 31 should be visited before node12\nnode 31 should be visited before node26\nnode 31 should be visited before node4\nnode 31 should be visited before node32\nnode 31 should be visited before node21\nnode 31 should be visited before node9\nnode 31 should be visited before node7\nnode 31 should be visited before node10\nnode 31 should be visited before node18\nnode 31 should be visited before node13\nnode 31 should be visited before node23\nnode 31 should be visited before node8\nnode 31 should be visited before node3\nnode 31 should be visited before node11\nnode 32 should be visited before node24\nnode 32 should be visited before node5\nnode 32 should be visited before node10\nnode 32 should be visited before node18\nnode 32 should be visited before node20\nnode 32 should be visited before node13\nnode 32 should be visited before node23\nnode 32 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "31,12,26,4,21,32,22,9,7,29,1,10,24,27,28,5,0,6,19,14,15,20,18,23,13,17,8,3,11,2,16,30,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph218",
        "image": "data/topology/graph_visual/hard/graph218.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node7\nnode 0 should be visited before node23\nnode 0 should be visited before node6\nnode 0 should be visited before node17\nnode 0 should be visited before node8\nnode 0 should be visited before node12\nnode 1 should be visited before node11\nnode 1 should be visited before node17\nnode 1 should be visited before node8\nnode 1 should be visited before node24\nnode 1 should be visited before node12\nnode 1 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node23\nnode 2 should be visited before node16\nnode 3 should be visited before node7\nnode 3 should be visited before node23\nnode 3 should be visited before node22\nnode 3 should be visited before node17\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node24\nnode 3 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node8\nnode 5 should be visited before node18\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node0\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 5 should be visited before node17\nnode 5 should be visited before node8\nnode 5 should be visited before node12\nnode 5 should be visited before node10\nnode 5 should be visited before node20\nnode 6 should be visited before node17\nnode 6 should be visited before node20\nnode 7 should be visited before node17\nnode 7 should be visited before node8\nnode 7 should be visited before node16\nnode 7 should be visited before node10\nnode 7 should be visited before node20\nnode 8 should be visited before node16\nnode 8 should be visited before node24\nnode 8 should be visited before node12\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node25\nnode 9 should be visited before node18\nnode 9 should be visited before node1\nnode 9 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node23\nnode 9 should be visited before node22\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node24\nnode 9 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node23\nnode 11 should be visited before node6\nnode 11 should be visited before node20\nnode 13 should be visited before node21\nnode 13 should be visited before node14\nnode 13 should be visited before node11\nnode 13 should be visited before node4\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node23\nnode 13 should be visited before node6\nnode 13 should be visited before node17\nnode 13 should be visited before node24\nnode 13 should be visited before node10\nnode 13 should be visited before node20\nnode 14 should be visited before node11\nnode 14 should be visited before node4\nnode 14 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node24\nnode 14 should be visited before node10\nnode 15 should be visited before node13\nnode 15 should be visited before node25\nnode 15 should be visited before node18\nnode 15 should be visited before node21\nnode 15 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node17\nnode 15 should be visited before node16\nnode 15 should be visited before node12\nnode 15 should be visited before node10\nnode 16 should be visited before node12\nnode 16 should be visited before node20\nnode 17 should be visited before node16\nnode 18 should be visited before node1\nnode 18 should be visited before node21\nnode 18 should be visited before node0\nnode 18 should be visited before node3\nnode 18 should be visited before node22\nnode 18 should be visited before node17\nnode 18 should be visited before node8\nnode 18 should be visited before node16\nnode 18 should be visited before node12\nnode 19 should be visited before node13\nnode 19 should be visited before node25\nnode 19 should be visited before node18\nnode 19 should be visited before node21\nnode 19 should be visited before node11\nnode 19 should be visited before node2\nnode 19 should be visited before node3\nnode 19 should be visited before node7\nnode 19 should be visited before node24\nnode 19 should be visited before node12\nnode 19 should be visited before node10\nnode 19 should be visited before node20\nnode 21 should be visited before node14\nnode 21 should be visited before node11\nnode 21 should be visited before node0\nnode 21 should be visited before node17\nnode 21 should be visited before node10\nnode 22 should be visited before node6\nnode 22 should be visited before node17\nnode 22 should be visited before node8\nnode 22 should be visited before node16\nnode 22 should be visited before node24\nnode 22 should be visited before node12\nnode 22 should be visited before node10\nnode 23 should be visited before node22\nnode 23 should be visited before node17\nnode 23 should be visited before node8\nnode 23 should be visited before node24\nnode 23 should be visited before node12\nnode 23 should be visited before node10\nnode 23 should be visited before node20\nnode 24 should be visited before node10\nnode 24 should be visited before node20\nnode 25 should be visited before node18\nnode 25 should be visited before node1\nnode 25 should be visited before node21\nnode 25 should be visited before node14\nnode 25 should be visited before node11\nnode 25 should be visited before node2\nnode 25 should be visited before node3\nnode 25 should be visited before node23\nnode 25 should be visited before node6\nnode 25 should be visited before node17\nnode 25 should be visited before node8\nnode 25 should be visited before node16\nnode 26 should be visited before node9\nnode 26 should be visited before node5\nnode 26 should be visited before node18\nnode 26 should be visited before node14\nnode 26 should be visited before node11\nnode 26 should be visited before node4\nnode 26 should be visited before node0\nnode 26 should be visited before node6\nnode 26 should be visited before node8\nnode 26 should be visited before node16\nnode 26 should be visited before node24\nnode 26 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,19,26,9,5,13,25,18,1,21,14,11,2,4,0,3,7,23,22,6,8,17,24,16,10,12,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph11",
        "image": "data/topology/graph_visual/hard/graph11.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node20\nnode 0 should be visited before node13\nnode 1 should be visited before node20\nnode 1 should be visited before node19\nnode 2 should be visited before node23\nnode 2 should be visited before node22\nnode 2 should be visited before node21\nnode 2 should be visited before node24\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node17\nnode 2 should be visited before node19\nnode 3 should be visited before node5\nnode 3 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node17\nnode 4 should be visited before node19\nnode 5 should be visited before node13\nnode 6 should be visited before node25\nnode 6 should be visited before node8\nnode 6 should be visited before node17\nnode 6 should be visited before node13\nnode 7 should be visited before node22\nnode 7 should be visited before node5\nnode 7 should be visited before node12\nnode 7 should be visited before node20\nnode 8 should be visited before node12\nnode 10 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node22\nnode 11 should be visited before node25\nnode 11 should be visited before node5\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node19\nnode 11 should be visited before node13\nnode 12 should be visited before node1\nnode 12 should be visited before node20\nnode 14 should be visited before node17\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 15 should be visited before node17\nnode 15 should be visited before node19\nnode 16 should be visited before node6\nnode 16 should be visited before node5\nnode 16 should be visited before node12\nnode 16 should be visited before node1\nnode 16 should be visited before node20\nnode 17 should be visited before node13\nnode 18 should be visited before node2\nnode 18 should be visited before node10\nnode 18 should be visited before node22\nnode 18 should be visited before node6\nnode 18 should be visited before node25\nnode 18 should be visited before node0\nnode 18 should be visited before node17\nnode 18 should be visited before node1\nnode 18 should be visited before node19\nnode 18 should be visited before node13\nnode 21 should be visited before node24\nnode 21 should be visited before node3\nnode 21 should be visited before node9\nnode 21 should be visited before node17\nnode 21 should be visited before node1\nnode 21 should be visited before node13\nnode 22 should be visited before node24\nnode 22 should be visited before node0\nnode 22 should be visited before node20\nnode 23 should be visited before node6\nnode 23 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node15\nnode 23 should be visited before node12\nnode 23 should be visited before node13\nnode 24 should be visited before node3\nnode 24 should be visited before node5\nnode 24 should be visited before node19\nnode 25 should be visited before node14\nnode 25 should be visited before node0\nnode 25 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,11,16,18,7,2,10,23,22,6,21,25,8,24,9,12,3,1,5,15,14,0,19,17,20,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph1133",
        "image": "data/topology/graph_visual/hard/graph1133.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node23\nnode 0 should be visited before node10\nnode 0 should be visited before node16\nnode 0 should be visited before node12\nnode 0 should be visited before node13\nnode 0 should be visited before node5\nnode 0 should be visited before node29\nnode 2 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node30\nnode 3 should be visited before node5\nnode 3 should be visited before node29\nnode 3 should be visited before node1\nnode 4 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node24\nnode 4 should be visited before node30\nnode 4 should be visited before node13\nnode 4 should be visited before node22\nnode 4 should be visited before node5\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 6 should be visited before node4\nnode 6 should be visited before node15\nnode 6 should be visited before node20\nnode 6 should be visited before node12\nnode 6 should be visited before node24\nnode 6 should be visited before node2\nnode 6 should be visited before node29\nnode 7 should be visited before node21\nnode 7 should be visited before node19\nnode 7 should be visited before node4\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node33\nnode 8 should be visited before node34\nnode 8 should be visited before node14\nnode 8 should be visited before node7\nnode 8 should be visited before node23\nnode 8 should be visited before node28\nnode 8 should be visited before node18\nnode 8 should be visited before node4\nnode 8 should be visited before node2\nnode 9 should be visited before node6\nnode 9 should be visited before node18\nnode 9 should be visited before node4\nnode 9 should be visited before node15\nnode 9 should be visited before node16\nnode 10 should be visited before node15\nnode 10 should be visited before node20\nnode 10 should be visited before node22\nnode 11 should be visited before node33\nnode 11 should be visited before node34\nnode 11 should be visited before node7\nnode 11 should be visited before node28\nnode 11 should be visited before node6\nnode 11 should be visited before node18\nnode 11 should be visited before node10\nnode 11 should be visited before node15\nnode 11 should be visited before node20\nnode 11 should be visited before node16\nnode 11 should be visited before node32\nnode 11 should be visited before node12\nnode 11 should be visited before node30\nnode 11 should be visited before node22\nnode 11 should be visited before node5\nnode 11 should be visited before node2\nnode 11 should be visited before node29\nnode 11 should be visited before node1\nnode 12 should be visited before node13\nnode 12 should be visited before node5\nnode 12 should be visited before node2\nnode 12 should be visited before node29\nnode 13 should be visited before node5\nnode 13 should be visited before node1\nnode 14 should be visited before node26\nnode 14 should be visited before node7\nnode 14 should be visited before node27\nnode 14 should be visited before node32\nnode 14 should be visited before node12\nnode 14 should be visited before node13\nnode 14 should be visited before node22\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 15 should be visited before node32\nnode 15 should be visited before node24\nnode 15 should be visited before node22\nnode 15 should be visited before node29\nnode 16 should be visited before node32\nnode 16 should be visited before node30\nnode 16 should be visited before node1\nnode 17 should be visited before node9\nnode 17 should be visited before node28\nnode 17 should be visited before node18\nnode 17 should be visited before node4\nnode 17 should be visited before node15\nnode 17 should be visited before node20\nnode 17 should be visited before node27\nnode 17 should be visited before node16\nnode 17 should be visited before node24\nnode 17 should be visited before node2\nnode 18 should be visited before node10\nnode 18 should be visited before node32\nnode 18 should be visited before node12\nnode 18 should be visited before node13\nnode 18 should be visited before node22\nnode 18 should be visited before node5\nnode 18 should be visited before node2\nnode 18 should be visited before node1\nnode 19 should be visited before node31\nnode 19 should be visited before node28\nnode 19 should be visited before node3\nnode 19 should be visited before node20\nnode 19 should be visited before node22\nnode 19 should be visited before node29\nnode 19 should be visited before node1\nnode 20 should be visited before node27\nnode 20 should be visited before node16\nnode 20 should be visited before node24\nnode 20 should be visited before node13\nnode 20 should be visited before node22\nnode 20 should be visited before node2\nnode 20 should be visited before node29\nnode 21 should be visited before node6\nnode 21 should be visited before node3\nnode 21 should be visited before node20\nnode 21 should be visited before node12\nnode 21 should be visited before node13\nnode 21 should be visited before node5\nnode 21 should be visited before node29\nnode 21 should be visited before node1\nnode 22 should be visited before node29\nnode 23 should be visited before node9\nnode 23 should be visited before node4\nnode 23 should be visited before node16\nnode 23 should be visited before node32\nnode 23 should be visited before node12\nnode 23 should be visited before node24\nnode 23 should be visited before node13\nnode 23 should be visited before node5\nnode 23 should be visited before node2\nnode 23 should be visited before node29\nnode 24 should be visited before node30\nnode 24 should be visited before node5\nnode 24 should be visited before node29\nnode 24 should be visited before node1\nnode 25 should be visited before node8\nnode 25 should be visited before node11\nnode 25 should be visited before node14\nnode 25 should be visited before node26\nnode 25 should be visited before node0\nnode 25 should be visited before node6\nnode 25 should be visited before node18\nnode 25 should be visited before node10\nnode 25 should be visited before node20\nnode 25 should be visited before node5\nnode 25 should be visited before node2\nnode 25 should be visited before node29\nnode 26 should be visited before node21\nnode 26 should be visited before node19\nnode 26 should be visited before node31\nnode 26 should be visited before node23\nnode 26 should be visited before node18\nnode 26 should be visited before node10\nnode 26 should be visited before node27\nnode 26 should be visited before node12\nnode 26 should be visited before node13\nnode 27 should be visited before node32\nnode 27 should be visited before node30\nnode 27 should be visited before node2\nnode 27 should be visited before node1\nnode 28 should be visited before node18\nnode 28 should be visited before node10\nnode 28 should be visited before node4\nnode 28 should be visited before node20\nnode 28 should be visited before node32\nnode 28 should be visited before node12\nnode 28 should be visited before node13\nnode 28 should be visited before node29\nnode 30 should be visited before node29\nnode 30 should be visited before node1\nnode 31 should be visited before node9\nnode 31 should be visited before node18\nnode 31 should be visited before node15\nnode 31 should be visited before node27\nnode 31 should be visited before node16\nnode 31 should be visited before node32\nnode 33 should be visited before node34\nnode 33 should be visited before node23\nnode 33 should be visited before node9\nnode 33 should be visited before node6\nnode 33 should be visited before node20\nnode 33 should be visited before node12\nnode 33 should be visited before node30\nnode 33 should be visited before node5\nnode 34 should be visited before node0\nnode 34 should be visited before node31\nnode 34 should be visited before node23\nnode 34 should be visited before node17\nnode 34 should be visited before node9\nnode 34 should be visited before node10\nnode 34 should be visited before node15\nnode 34 should be visited before node32\nnode 34 should be visited before node24\nnode 34 should be visited before node30\nnode 34 should be visited before node13\nnode 34 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "25,8,11,14,33,26,7,34,21,19,0,17,31,3,23,28,9,6,18,4,10,12,15,20,27,16,24,13,22,32,30,5,29,2,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph57",
        "image": "data/topology/graph_visual/hard/graph57.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node16\nnode 0 should be visited before node15\nnode 1 should be visited before node14\nnode 1 should be visited before node0\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 2 should be visited before node25\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 3 should be visited before node14\nnode 3 should be visited before node17\nnode 3 should be visited before node15\nnode 4 should be visited before node22\nnode 5 should be visited before node13\nnode 5 should be visited before node0\nnode 5 should be visited before node16\nnode 5 should be visited before node22\nnode 6 should be visited before node25\nnode 6 should be visited before node14\nnode 6 should be visited before node4\nnode 6 should be visited before node16\nnode 7 should be visited before node22\nnode 8 should be visited before node21\nnode 8 should be visited before node23\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node16\nnode 9 should be visited before node3\nnode 10 should be visited before node19\nnode 10 should be visited before node25\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node22\nnode 12 should be visited before node8\nnode 12 should be visited before node21\nnode 12 should be visited before node2\nnode 12 should be visited before node10\nnode 12 should be visited before node19\nnode 12 should be visited before node9\nnode 12 should be visited before node25\nnode 12 should be visited before node3\nnode 12 should be visited before node15\nnode 13 should be visited before node16\nnode 13 should be visited before node22\nnode 13 should be visited before node17\nnode 13 should be visited before node15\nnode 14 should be visited before node4\nnode 14 should be visited before node22\nnode 14 should be visited before node17\nnode 16 should be visited before node17\nnode 17 should be visited before node15\nnode 18 should be visited before node24\nnode 18 should be visited before node21\nnode 18 should be visited before node5\nnode 18 should be visited before node13\nnode 18 should be visited before node11\nnode 18 should be visited before node1\nnode 18 should be visited before node3\nnode 18 should be visited before node14\nnode 18 should be visited before node0\nnode 18 should be visited before node16\nnode 18 should be visited before node17\nnode 19 should be visited before node9\nnode 19 should be visited before node25\nnode 19 should be visited before node7\nnode 19 should be visited before node0\nnode 19 should be visited before node16\nnode 19 should be visited before node22\nnode 19 should be visited before node15\nnode 20 should be visited before node12\nnode 20 should be visited before node18\nnode 20 should be visited before node24\nnode 20 should be visited before node19\nnode 20 should be visited before node13\nnode 20 should be visited before node11\nnode 20 should be visited before node25\nnode 20 should be visited before node0\nnode 21 should be visited before node9\nnode 21 should be visited before node16\nnode 21 should be visited before node22\nnode 21 should be visited before node15\nnode 23 should be visited before node19\nnode 23 should be visited before node11\nnode 23 should be visited before node3\nnode 23 should be visited before node14\nnode 23 should be visited before node7\nnode 23 should be visited before node0\nnode 23 should be visited before node15\nnode 24 should be visited before node21\nnode 24 should be visited before node2\nnode 24 should be visited before node4\nnode 24 should be visited before node16\nnode 24 should be visited before node17\nnode 25 should be visited before node1\nnode 25 should be visited before node3\nnode 25 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "20,12,18,8,24,5,23,10,21,2,13,11,19,6,9,25,1,3,7,0,14,16,4,17,22,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph896",
        "image": "data/topology/graph_visual/hard/graph896.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 1 should be visited before node27\nnode 1 should be visited before node24\nnode 1 should be visited before node20\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 1 should be visited before node30\nnode 1 should be visited before node13\nnode 3 should be visited before node7\nnode 3 should be visited before node2\nnode 4 should be visited before node29\nnode 4 should be visited before node19\nnode 4 should be visited before node8\nnode 4 should be visited before node24\nnode 4 should be visited before node10\nnode 4 should be visited before node18\nnode 4 should be visited before node28\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 4 should be visited before node13\nnode 4 should be visited before node31\nnode 5 should be visited before node1\nnode 5 should be visited before node19\nnode 5 should be visited before node27\nnode 5 should be visited before node17\nnode 5 should be visited before node25\nnode 5 should be visited before node18\nnode 5 should be visited before node22\nnode 5 should be visited before node0\nnode 5 should be visited before node26\nnode 5 should be visited before node30\nnode 5 should be visited before node16\nnode 6 should be visited before node4\nnode 6 should be visited before node1\nnode 6 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node7\nnode 6 should be visited before node13\nnode 6 should be visited before node31\nnode 6 should be visited before node16\nnode 7 should be visited before node16\nnode 8 should be visited before node24\nnode 8 should be visited before node12\nnode 8 should be visited before node18\nnode 8 should be visited before node11\nnode 8 should be visited before node26\nnode 8 should be visited before node30\nnode 9 should be visited before node22\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 10 should be visited before node9\nnode 10 should be visited before node22\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node26\nnode 10 should be visited before node13\nnode 10 should be visited before node31\nnode 10 should be visited before node16\nnode 11 should be visited before node2\nnode 12 should be visited before node18\nnode 12 should be visited before node32\nnode 12 should be visited before node23\nnode 12 should be visited before node28\nnode 12 should be visited before node7\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 13 should be visited before node31\nnode 13 should be visited before node2\nnode 13 should be visited before node16\nnode 14 should be visited before node20\nnode 14 should be visited before node10\nnode 14 should be visited before node26\nnode 14 should be visited before node30\nnode 15 should be visited before node7\nnode 15 should be visited before node26\nnode 15 should be visited before node13\nnode 15 should be visited before node16\nnode 17 should be visited before node8\nnode 17 should be visited before node20\nnode 17 should be visited before node22\nnode 17 should be visited before node23\nnode 17 should be visited before node13\nnode 17 should be visited before node2\nnode 18 should be visited before node9\nnode 18 should be visited before node3\nnode 18 should be visited before node7\nnode 18 should be visited before node0\nnode 18 should be visited before node11\nnode 18 should be visited before node30\nnode 19 should be visited before node8\nnode 19 should be visited before node20\nnode 19 should be visited before node12\nnode 19 should be visited before node18\nnode 19 should be visited before node9\nnode 19 should be visited before node22\nnode 19 should be visited before node28\nnode 19 should be visited before node7\nnode 19 should be visited before node26\nnode 20 should be visited before node10\nnode 20 should be visited before node23\nnode 20 should be visited before node3\nnode 20 should be visited before node11\nnode 20 should be visited before node31\nnode 21 should be visited before node26\nnode 21 should be visited before node16\nnode 22 should be visited before node32\nnode 22 should be visited before node3\nnode 22 should be visited before node7\nnode 22 should be visited before node0\nnode 22 should be visited before node21\nnode 22 should be visited before node13\nnode 22 should be visited before node31\nnode 23 should be visited before node28\nnode 23 should be visited before node3\nnode 23 should be visited before node21\nnode 23 should be visited before node11\nnode 23 should be visited before node26\nnode 23 should be visited before node30\nnode 23 should be visited before node13\nnode 23 should be visited before node2\nnode 24 should be visited before node10\nnode 24 should be visited before node32\nnode 24 should be visited before node23\nnode 24 should be visited before node28\nnode 24 should be visited before node21\nnode 25 should be visited before node12\nnode 25 should be visited before node18\nnode 25 should be visited before node32\nnode 25 should be visited before node3\nnode 25 should be visited before node0\nnode 25 should be visited before node11\nnode 25 should be visited before node31\nnode 25 should be visited before node2\nnode 25 should be visited before node16\nnode 26 should be visited before node2\nnode 27 should be visited before node17\nnode 27 should be visited before node20\nnode 27 should be visited before node28\nnode 27 should be visited before node26\nnode 28 should be visited before node21\nnode 28 should be visited before node26\nnode 28 should be visited before node2\nnode 28 should be visited before node16\nnode 29 should be visited before node1\nnode 29 should be visited before node19\nnode 29 should be visited before node13\nnode 30 should be visited before node16\nnode 32 should be visited before node26\nnode 32 should be visited before node30\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,25,4,14,29,1,19,27,17,8,20,24,12,10,18,23,9,28,22,15,11,32,3,0,21,13,30,7,26,31,16,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph1197",
        "image": "data/topology/graph_visual/hard/graph1197.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node22\nnode 0 should be visited before node30\nnode 0 should be visited before node17\nnode 1 should be visited before node28\nnode 1 should be visited before node29\nnode 1 should be visited before node32\nnode 1 should be visited before node15\nnode 1 should be visited before node34\nnode 1 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node27\nnode 2 should be visited before node31\nnode 2 should be visited before node24\nnode 2 should be visited before node4\nnode 2 should be visited before node33\nnode 2 should be visited before node21\nnode 2 should be visited before node23\nnode 2 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node28\nnode 2 should be visited before node29\nnode 2 should be visited before node32\nnode 2 should be visited before node25\nnode 2 should be visited before node22\nnode 2 should be visited before node30\nnode 3 should be visited before node14\nnode 3 should be visited before node24\nnode 3 should be visited before node20\nnode 3 should be visited before node33\nnode 3 should be visited before node16\nnode 3 should be visited before node23\nnode 3 should be visited before node28\nnode 3 should be visited before node29\nnode 3 should be visited before node32\nnode 3 should be visited before node25\nnode 3 should be visited before node34\nnode 3 should be visited before node30\nnode 3 should be visited before node17\nnode 4 should be visited before node18\nnode 4 should be visited before node20\nnode 4 should be visited before node7\nnode 4 should be visited before node16\nnode 4 should be visited before node28\nnode 4 should be visited before node29\nnode 4 should be visited before node0\nnode 4 should be visited before node22\nnode 5 should be visited before node16\nnode 5 should be visited before node28\nnode 5 should be visited before node15\nnode 5 should be visited before node25\nnode 5 should be visited before node22\nnode 5 should be visited before node30\nnode 5 should be visited before node17\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node28\nnode 6 should be visited before node32\nnode 6 should be visited before node34\nnode 6 should be visited before node22\nnode 6 should be visited before node30\nnode 6 should be visited before node17\nnode 7 should be visited before node21\nnode 7 should be visited before node6\nnode 7 should be visited before node23\nnode 7 should be visited before node26\nnode 7 should be visited before node1\nnode 7 should be visited before node19\nnode 7 should be visited before node29\nnode 7 should be visited before node15\nnode 7 should be visited before node25\nnode 7 should be visited before node34\nnode 7 should be visited before node17\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node7\nnode 8 should be visited before node10\nnode 8 should be visited before node33\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node29\nnode 8 should be visited before node15\nnode 8 should be visited before node22\nnode 9 should be visited before node27\nnode 9 should be visited before node12\nnode 9 should be visited before node31\nnode 9 should be visited before node20\nnode 9 should be visited before node10\nnode 9 should be visited before node16\nnode 9 should be visited before node23\nnode 9 should be visited before node26\nnode 9 should be visited before node1\nnode 9 should be visited before node28\nnode 9 should be visited before node29\nnode 9 should be visited before node32\nnode 9 should be visited before node34\nnode 9 should be visited before node0\nnode 9 should be visited before node22\nnode 9 should be visited before node30\nnode 9 should be visited before node17\nnode 10 should be visited before node33\nnode 10 should be visited before node21\nnode 10 should be visited before node16\nnode 10 should be visited before node23\nnode 10 should be visited before node26\nnode 10 should be visited before node1\nnode 10 should be visited before node19\nnode 10 should be visited before node29\nnode 10 should be visited before node25\nnode 10 should be visited before node34\nnode 11 should be visited before node13\nnode 11 should be visited before node9\nnode 11 should be visited before node14\nnode 11 should be visited before node31\nnode 11 should be visited before node18\nnode 11 should be visited before node20\nnode 11 should be visited before node33\nnode 11 should be visited before node21\nnode 11 should be visited before node6\nnode 11 should be visited before node16\nnode 11 should be visited before node23\nnode 11 should be visited before node28\nnode 11 should be visited before node29\nnode 11 should be visited before node15\nnode 11 should be visited before node25\nnode 11 should be visited before node0\nnode 11 should be visited before node22\nnode 12 should be visited before node31\nnode 12 should be visited before node24\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node19\nnode 12 should be visited before node34\nnode 12 should be visited before node22\nnode 12 should be visited before node17\nnode 13 should be visited before node9\nnode 13 should be visited before node27\nnode 13 should be visited before node14\nnode 13 should be visited before node31\nnode 13 should be visited before node18\nnode 13 should be visited before node33\nnode 13 should be visited before node16\nnode 13 should be visited before node26\nnode 13 should be visited before node19\nnode 13 should be visited before node28\nnode 13 should be visited before node29\nnode 13 should be visited before node15\nnode 13 should be visited before node34\nnode 13 should be visited before node17\nnode 14 should be visited before node31\nnode 14 should be visited before node24\nnode 14 should be visited before node7\nnode 14 should be visited before node21\nnode 14 should be visited before node23\nnode 14 should be visited before node1\nnode 14 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node22\nnode 14 should be visited before node17\nnode 15 should be visited before node34\nnode 15 should be visited before node0\nnode 15 should be visited before node17\nnode 16 should be visited before node23\nnode 16 should be visited before node29\nnode 16 should be visited before node34\nnode 16 should be visited before node0\nnode 16 should be visited before node22\nnode 16 should be visited before node30\nnode 16 should be visited before node17\nnode 18 should be visited before node7\nnode 18 should be visited before node5\nnode 18 should be visited before node19\nnode 18 should be visited before node32\nnode 18 should be visited before node25\nnode 18 should be visited before node34\nnode 18 should be visited before node22\nnode 18 should be visited before node17\nnode 19 should be visited before node29\nnode 19 should be visited before node25\nnode 20 should be visited before node7\nnode 20 should be visited before node6\nnode 20 should be visited before node16\nnode 20 should be visited before node23\nnode 20 should be visited before node1\nnode 20 should be visited before node28\nnode 20 should be visited before node29\nnode 20 should be visited before node32\nnode 20 should be visited before node34\nnode 20 should be visited before node22\nnode 21 should be visited before node16\nnode 21 should be visited before node23\nnode 21 should be visited before node26\nnode 21 should be visited before node32\nnode 21 should be visited before node15\nnode 21 should be visited before node34\nnode 21 should be visited before node30\nnode 23 should be visited before node26\nnode 23 should be visited before node32\nnode 23 should be visited before node30\nnode 24 should be visited before node4\nnode 24 should be visited before node10\nnode 24 should be visited before node33\nnode 24 should be visited before node21\nnode 24 should be visited before node6\nnode 24 should be visited before node1\nnode 24 should be visited before node19\nnode 24 should be visited before node28\nnode 24 should be visited before node32\nnode 24 should be visited before node25\nnode 24 should be visited before node0\nnode 25 should be visited before node34\nnode 25 should be visited before node0\nnode 25 should be visited before node22\nnode 25 should be visited before node17\nnode 26 should be visited before node28\nnode 26 should be visited before node29\nnode 26 should be visited before node32\nnode 26 should be visited before node25\nnode 27 should be visited before node12\nnode 27 should be visited before node31\nnode 27 should be visited before node4\nnode 27 should be visited before node18\nnode 27 should be visited before node20\nnode 27 should be visited before node21\nnode 27 should be visited before node23\nnode 27 should be visited before node26\nnode 27 should be visited before node32\nnode 27 should be visited before node15\nnode 27 should be visited before node34\nnode 27 should be visited before node22\nnode 27 should be visited before node30\nnode 28 should be visited before node29\nnode 28 should be visited before node25\nnode 28 should be visited before node34\nnode 28 should be visited before node0\nnode 28 should be visited before node22\nnode 28 should be visited before node17\nnode 29 should be visited before node25\nnode 29 should be visited before node22\nnode 29 should be visited before node30\nnode 30 should be visited before node17\nnode 31 should be visited before node24\nnode 31 should be visited before node4\nnode 31 should be visited before node7\nnode 31 should be visited before node33\nnode 31 should be visited before node16\nnode 31 should be visited before node26\nnode 31 should be visited before node28\nnode 31 should be visited before node29\nnode 31 should be visited before node15\nnode 31 should be visited before node25\nnode 31 should be visited before node30\nnode 31 should be visited before node17\nnode 32 should be visited before node15\nnode 32 should be visited before node17\nnode 33 should be visited before node21\nnode 33 should be visited before node6\nnode 33 should be visited before node16\nnode 33 should be visited before node26\nnode 33 should be visited before node1\nnode 33 should be visited before node19\nnode 33 should be visited before node28\nnode 33 should be visited before node15\nnode 33 should be visited before node34\nnode 33 should be visited before node0\nnode 33 should be visited before node22\nnode 33 should be visited before node30\nnode 33 should be visited before node17\nnode 34 should be visited before node0\nnode 34 should be visited before node22\nnode 34 should be visited before node30\nnode 34 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,8,11,13,9,14,27,12,31,24,4,10,18,20,33,5,7,21,6,19,16,1,23,26,28,32,29,15,25,34,0,22,30,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph407",
        "image": "data/topology/graph_visual/hard/graph407.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node9\nnode 1 should be visited before node14\nnode 1 should be visited before node4\nnode 1 should be visited before node28\nnode 1 should be visited before node23\nnode 1 should be visited before node17\nnode 1 should be visited before node24\nnode 2 should be visited before node1\nnode 2 should be visited before node26\nnode 2 should be visited before node4\nnode 2 should be visited before node27\nnode 2 should be visited before node17\nnode 2 should be visited before node0\nnode 2 should be visited before node24\nnode 3 should be visited before node20\nnode 3 should be visited before node21\nnode 3 should be visited before node16\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node18\nnode 3 should be visited before node14\nnode 3 should be visited before node28\nnode 3 should be visited before node23\nnode 3 should be visited before node9\nnode 3 should be visited before node24\nnode 4 should be visited before node23\nnode 4 should be visited before node17\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 4 should be visited before node24\nnode 5 should be visited before node21\nnode 5 should be visited before node8\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 5 should be visited before node28\nnode 5 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node21\nnode 6 should be visited before node8\nnode 6 should be visited before node15\nnode 6 should be visited before node4\nnode 6 should be visited before node27\nnode 6 should be visited before node23\nnode 6 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node23\nnode 7 should be visited before node9\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node27\nnode 8 should be visited before node17\nnode 8 should be visited before node19\nnode 8 should be visited before node9\nnode 10 should be visited before node21\nnode 10 should be visited before node15\nnode 10 should be visited before node26\nnode 10 should be visited before node4\nnode 10 should be visited before node17\nnode 11 should be visited before node2\nnode 11 should be visited before node16\nnode 11 should be visited before node26\nnode 11 should be visited before node28\nnode 11 should be visited before node17\nnode 11 should be visited before node9\nnode 11 should be visited before node24\nnode 12 should be visited before node4\nnode 12 should be visited before node27\nnode 12 should be visited before node28\nnode 12 should be visited before node23\nnode 12 should be visited before node17\nnode 12 should be visited before node19\nnode 13 should be visited before node18\nnode 13 should be visited before node12\nnode 13 should be visited before node9\nnode 14 should be visited before node12\nnode 14 should be visited before node19\nnode 15 should be visited before node16\nnode 15 should be visited before node26\nnode 15 should be visited before node9\nnode 16 should be visited before node12\nnode 16 should be visited before node24\nnode 17 should be visited before node0\nnode 18 should be visited before node12\nnode 18 should be visited before node0\nnode 18 should be visited before node24\nnode 20 should be visited before node6\nnode 20 should be visited before node5\nnode 20 should be visited before node2\nnode 20 should be visited before node21\nnode 20 should be visited before node1\nnode 20 should be visited before node13\nnode 21 should be visited before node15\nnode 21 should be visited before node1\nnode 21 should be visited before node13\nnode 21 should be visited before node18\nnode 21 should be visited before node23\nnode 21 should be visited before node9\nnode 22 should be visited before node6\nnode 22 should be visited before node5\nnode 22 should be visited before node10\nnode 22 should be visited before node25\nnode 22 should be visited before node15\nnode 22 should be visited before node14\nnode 22 should be visited before node9\nnode 22 should be visited before node24\nnode 23 should be visited before node19\nnode 25 should be visited before node15\nnode 25 should be visited before node1\nnode 25 should be visited before node18\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 25 should be visited before node28\nnode 25 should be visited before node23\nnode 26 should be visited before node13\nnode 26 should be visited before node27\nnode 26 should be visited before node23\nnode 26 should be visited before node17\nnode 26 should be visited before node9\nnode 27 should be visited before node23\nnode 27 should be visited before node0\nnode 28 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,7,11,22,20,10,25,6,2,5,21,8,15,1,16,26,14,13,18,12,4,27,28,24,23,17,19,0,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph768",
        "image": "data/topology/graph_visual/hard/graph768.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node11\nnode 0 should be visited before node14\nnode 0 should be visited before node19\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node13\nnode 3 should be visited before node24\nnode 3 should be visited before node16\nnode 3 should be visited before node27\nnode 3 should be visited before node10\nnode 3 should be visited before node14\nnode 3 should be visited before node13\nnode 3 should be visited before node19\nnode 3 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node9\nnode 4 should be visited before node14\nnode 4 should be visited before node13\nnode 5 should be visited before node6\nnode 5 should be visited before node29\nnode 5 should be visited before node25\nnode 5 should be visited before node8\nnode 5 should be visited before node9\nnode 5 should be visited before node13\nnode 5 should be visited before node19\nnode 6 should be visited before node27\nnode 6 should be visited before node31\nnode 6 should be visited before node2\nnode 6 should be visited before node0\nnode 6 should be visited before node14\nnode 6 should be visited before node1\nnode 7 should be visited before node23\nnode 7 should be visited before node24\nnode 7 should be visited before node29\nnode 7 should be visited before node25\nnode 7 should be visited before node27\nnode 7 should be visited before node4\nnode 7 should be visited before node19\nnode 7 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node19\nnode 9 should be visited before node1\nnode 10 should be visited before node2\nnode 10 should be visited before node15\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node13\nnode 10 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node22\nnode 12 should be visited before node21\nnode 12 should be visited before node31\nnode 12 should be visited before node10\nnode 12 should be visited before node11\nnode 12 should be visited before node9\nnode 12 should be visited before node14\nnode 14 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 15 should be visited before node1\nnode 16 should be visited before node25\nnode 16 should be visited before node27\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node9\nnode 17 should be visited before node22\nnode 17 should be visited before node5\nnode 17 should be visited before node3\nnode 17 should be visited before node29\nnode 17 should be visited before node30\nnode 17 should be visited before node31\nnode 17 should be visited before node8\nnode 17 should be visited before node2\nnode 17 should be visited before node14\nnode 17 should be visited before node13\nnode 17 should be visited before node1\nnode 18 should be visited before node20\nnode 18 should be visited before node29\nnode 18 should be visited before node25\nnode 18 should be visited before node8\nnode 18 should be visited before node4\nnode 18 should be visited before node15\nnode 18 should be visited before node9\nnode 20 should be visited before node24\nnode 20 should be visited before node16\nnode 20 should be visited before node2\nnode 20 should be visited before node15\nnode 20 should be visited before node11\nnode 20 should be visited before node13\nnode 20 should be visited before node19\nnode 21 should be visited before node3\nnode 21 should be visited before node20\nnode 21 should be visited before node16\nnode 21 should be visited before node31\nnode 21 should be visited before node8\nnode 21 should be visited before node10\nnode 21 should be visited before node15\nnode 21 should be visited before node13\nnode 22 should be visited before node21\nnode 22 should be visited before node24\nnode 22 should be visited before node27\nnode 22 should be visited before node31\nnode 22 should be visited before node9\nnode 22 should be visited before node14\nnode 22 should be visited before node1\nnode 23 should be visited before node3\nnode 23 should be visited before node20\nnode 23 should be visited before node24\nnode 23 should be visited before node30\nnode 23 should be visited before node27\nnode 23 should be visited before node31\nnode 23 should be visited before node8\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node14\nnode 23 should be visited before node1\nnode 24 should be visited before node29\nnode 24 should be visited before node4\nnode 24 should be visited before node2\nnode 24 should be visited before node0\nnode 24 should be visited before node15\nnode 24 should be visited before node19\nnode 25 should be visited before node31\nnode 25 should be visited before node4\nnode 25 should be visited before node2\nnode 25 should be visited before node0\nnode 25 should be visited before node15\nnode 25 should be visited before node13\nnode 25 should be visited before node19\nnode 25 should be visited before node1\nnode 26 should be visited before node22\nnode 26 should be visited before node5\nnode 26 should be visited before node6\nnode 26 should be visited before node24\nnode 26 should be visited before node31\nnode 26 should be visited before node4\nnode 26 should be visited before node10\nnode 26 should be visited before node14\nnode 27 should be visited before node2\nnode 27 should be visited before node0\nnode 27 should be visited before node9\nnode 27 should be visited before node19\nnode 28 should be visited before node22\nnode 28 should be visited before node21\nnode 28 should be visited before node29\nnode 28 should be visited before node16\nnode 28 should be visited before node0\nnode 29 should be visited before node30\nnode 29 should be visited before node8\nnode 29 should be visited before node10\nnode 29 should be visited before node0\nnode 30 should be visited before node31\nnode 30 should be visited before node10\nnode 30 should be visited before node0\nnode 30 should be visited before node9\nnode 31 should be visited before node4\nnode 31 should be visited before node10\nnode 31 should be visited before node0\nnode 31 should be visited before node15\nnode 31 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,17,18,26,28,7,5,22,23,6,21,3,20,24,16,29,25,27,30,8,31,4,10,0,2,15,19,9,14,11,13,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph671",
        "image": "data/topology/graph_visual/hard/graph671.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node8\nnode 0 should be visited before node5\nnode 0 should be visited before node26\nnode 0 should be visited before node2\nnode 0 should be visited before node28\nnode 0 should be visited before node10\nnode 0 should be visited before node22\nnode 1 should be visited before node30\nnode 1 should be visited before node7\nnode 1 should be visited before node21\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node29\nnode 1 should be visited before node25\nnode 1 should be visited before node16\nnode 1 should be visited before node27\nnode 1 should be visited before node12\nnode 1 should be visited before node14\nnode 2 should be visited before node17\nnode 2 should be visited before node29\nnode 2 should be visited before node16\nnode 2 should be visited before node10\nnode 2 should be visited before node9\nnode 2 should be visited before node24\nnode 2 should be visited before node13\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node7\nnode 3 should be visited before node21\nnode 3 should be visited before node26\nnode 3 should be visited before node2\nnode 3 should be visited before node17\nnode 3 should be visited before node28\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node22\nnode 3 should be visited before node13\nnode 4 should be visited before node26\nnode 4 should be visited before node28\nnode 4 should be visited before node27\nnode 4 should be visited before node10\nnode 4 should be visited before node24\nnode 4 should be visited before node12\nnode 4 should be visited before node18\nnode 4 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node17\nnode 5 should be visited before node28\nnode 5 should be visited before node16\nnode 5 should be visited before node10\nnode 5 should be visited before node9\nnode 5 should be visited before node24\nnode 5 should be visited before node22\nnode 5 should be visited before node18\nnode 5 should be visited before node14\nnode 6 should be visited before node20\nnode 6 should be visited before node30\nnode 6 should be visited before node15\nnode 6 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node17\nnode 6 should be visited before node29\nnode 6 should be visited before node27\nnode 6 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node18\nnode 6 should be visited before node13\nnode 7 should be visited before node21\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node25\nnode 7 should be visited before node28\nnode 7 should be visited before node16\nnode 7 should be visited before node9\nnode 7 should be visited before node24\nnode 7 should be visited before node12\nnode 7 should be visited before node22\nnode 7 should be visited before node18\nnode 7 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node5\nnode 8 should be visited before node26\nnode 8 should be visited before node29\nnode 8 should be visited before node25\nnode 8 should be visited before node28\nnode 8 should be visited before node27\nnode 8 should be visited before node24\nnode 8 should be visited before node12\nnode 8 should be visited before node14\nnode 9 should be visited before node12\nnode 9 should be visited before node22\nnode 10 should be visited before node9\nnode 10 should be visited before node24\nnode 10 should be visited before node12\nnode 10 should be visited before node22\nnode 10 should be visited before node13\nnode 11 should be visited before node1\nnode 11 should be visited before node15\nnode 11 should be visited before node4\nnode 11 should be visited before node17\nnode 11 should be visited before node29\nnode 11 should be visited before node28\nnode 11 should be visited before node12\nnode 11 should be visited before node18\nnode 11 should be visited before node13\nnode 11 should be visited before node14\nnode 12 should be visited before node22\nnode 12 should be visited before node18\nnode 12 should be visited before node13\nnode 15 should be visited before node23\nnode 15 should be visited before node17\nnode 15 should be visited before node25\nnode 15 should be visited before node28\nnode 15 should be visited before node16\nnode 15 should be visited before node27\nnode 15 should be visited before node10\nnode 15 should be visited before node13\nnode 15 should be visited before node14\nnode 16 should be visited before node9\nnode 16 should be visited before node24\nnode 16 should be visited before node12\nnode 16 should be visited before node22\nnode 16 should be visited before node18\nnode 17 should be visited before node28\nnode 17 should be visited before node16\nnode 17 should be visited before node24\nnode 17 should be visited before node14\nnode 18 should be visited before node13\nnode 18 should be visited before node14\nnode 19 should be visited before node3\nnode 19 should be visited before node0\nnode 19 should be visited before node15\nnode 19 should be visited before node7\nnode 19 should be visited before node21\nnode 19 should be visited before node26\nnode 19 should be visited before node29\nnode 19 should be visited before node27\nnode 19 should be visited before node9\nnode 19 should be visited before node22\nnode 19 should be visited before node18\nnode 19 should be visited before node13\nnode 19 should be visited before node14\nnode 20 should be visited before node15\nnode 20 should be visited before node8\nnode 20 should be visited before node21\nnode 20 should be visited before node26\nnode 20 should be visited before node17\nnode 20 should be visited before node28\nnode 20 should be visited before node27\nnode 20 should be visited before node10\nnode 20 should be visited before node22\nnode 20 should be visited before node18\nnode 20 should be visited before node13\nnode 20 should be visited before node14\nnode 21 should be visited before node23\nnode 21 should be visited before node4\nnode 21 should be visited before node2\nnode 21 should be visited before node29\nnode 21 should be visited before node9\nnode 21 should be visited before node24\nnode 21 should be visited before node12\nnode 21 should be visited before node22\nnode 21 should be visited before node13\nnode 22 should be visited before node13\nnode 22 should be visited before node14\nnode 23 should be visited before node5\nnode 23 should be visited before node4\nnode 23 should be visited before node2\nnode 23 should be visited before node17\nnode 23 should be visited before node29\nnode 23 should be visited before node25\nnode 23 should be visited before node28\nnode 23 should be visited before node10\nnode 24 should be visited before node22\nnode 24 should be visited before node18\nnode 24 should be visited before node14\nnode 25 should be visited before node28\nnode 25 should be visited before node10\nnode 25 should be visited before node12\nnode 25 should be visited before node22\nnode 25 should be visited before node13\nnode 25 should be visited before node14\nnode 26 should be visited before node2\nnode 26 should be visited before node17\nnode 26 should be visited before node29\nnode 26 should be visited before node28\nnode 26 should be visited before node9\nnode 26 should be visited before node24\nnode 26 should be visited before node18\nnode 26 should be visited before node14\nnode 27 should be visited before node24\nnode 27 should be visited before node12\nnode 27 should be visited before node22\nnode 27 should be visited before node18\nnode 28 should be visited before node10\nnode 29 should be visited before node28\nnode 29 should be visited before node27\nnode 29 should be visited before node22\nnode 29 should be visited before node14\nnode 30 should be visited before node15\nnode 30 should be visited before node23\nnode 30 should be visited before node26\nnode 30 should be visited before node25\nnode 30 should be visited before node27\nnode 30 should be visited before node10\nnode 30 should be visited before node24\nnode 30 should be visited before node12\nnode 30 should be visited before node18\nnode 30 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,3,0,6,11,20,1,8,30,7,15,21,23,5,25,4,26,2,17,29,16,28,27,10,9,24,12,22,18,13,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph828",
        "image": "data/topology/graph_visual/hard/graph828.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node5\nnode 0 should be visited before node26\nnode 0 should be visited before node30\nnode 0 should be visited before node18\nnode 0 should be visited before node22\nnode 0 should be visited before node11\nnode 1 should be visited before node25\nnode 1 should be visited before node8\nnode 1 should be visited before node31\nnode 2 should be visited before node23\nnode 2 should be visited before node14\nnode 2 should be visited before node24\nnode 2 should be visited before node5\nnode 2 should be visited before node28\nnode 2 should be visited before node13\nnode 2 should be visited before node26\nnode 2 should be visited before node30\nnode 2 should be visited before node25\nnode 2 should be visited before node22\nnode 2 should be visited before node16\nnode 2 should be visited before node11\nnode 3 should be visited before node23\nnode 3 should be visited before node14\nnode 3 should be visited before node24\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node28\nnode 3 should be visited before node13\nnode 3 should be visited before node26\nnode 3 should be visited before node30\nnode 3 should be visited before node18\nnode 3 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node11\nnode 3 should be visited before node10\nnode 4 should be visited before node16\nnode 4 should be visited before node8\nnode 4 should be visited before node11\nnode 5 should be visited before node28\nnode 5 should be visited before node26\nnode 5 should be visited before node30\nnode 5 should be visited before node4\nnode 5 should be visited before node16\nnode 5 should be visited before node11\nnode 5 should be visited before node10\nnode 5 should be visited before node31\nnode 6 should be visited before node29\nnode 6 should be visited before node5\nnode 6 should be visited before node28\nnode 6 should be visited before node13\nnode 6 should be visited before node26\nnode 6 should be visited before node30\nnode 6 should be visited before node25\nnode 6 should be visited before node4\nnode 6 should be visited before node22\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 7 should be visited before node0\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node28\nnode 7 should be visited before node26\nnode 7 should be visited before node30\nnode 7 should be visited before node1\nnode 7 should be visited before node25\nnode 7 should be visited before node22\nnode 7 should be visited before node16\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node31\nnode 8 should be visited before node11\nnode 8 should be visited before node31\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node15\nnode 9 should be visited before node30\nnode 9 should be visited before node1\nnode 9 should be visited before node25\nnode 9 should be visited before node4\nnode 9 should be visited before node31\nnode 10 should be visited before node31\nnode 11 should be visited before node10\nnode 11 should be visited before node31\nnode 12 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node24\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node26\nnode 12 should be visited before node30\nnode 12 should be visited before node18\nnode 12 should be visited before node1\nnode 12 should be visited before node25\nnode 12 should be visited before node22\nnode 12 should be visited before node8\nnode 12 should be visited before node31\nnode 13 should be visited before node26\nnode 13 should be visited before node1\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 13 should be visited before node31\nnode 14 should be visited before node24\nnode 14 should be visited before node9\nnode 14 should be visited before node7\nnode 14 should be visited before node6\nnode 14 should be visited before node29\nnode 14 should be visited before node26\nnode 14 should be visited before node16\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 14 should be visited before node10\nnode 15 should be visited before node18\nnode 15 should be visited before node1\nnode 15 should be visited before node25\nnode 15 should be visited before node4\nnode 15 should be visited before node22\nnode 15 should be visited before node16\nnode 15 should be visited before node31\nnode 16 should be visited before node8\nnode 16 should be visited before node11\nnode 17 should be visited before node3\nnode 17 should be visited before node14\nnode 17 should be visited before node21\nnode 17 should be visited before node9\nnode 17 should be visited before node7\nnode 17 should be visited before node29\nnode 17 should be visited before node28\nnode 17 should be visited before node15\nnode 17 should be visited before node30\nnode 17 should be visited before node25\nnode 17 should be visited before node4\nnode 17 should be visited before node22\nnode 17 should be visited before node11\nnode 17 should be visited before node10\nnode 18 should be visited before node1\nnode 18 should be visited before node25\nnode 18 should be visited before node22\nnode 18 should be visited before node8\nnode 18 should be visited before node10\nnode 18 should be visited before node31\nnode 19 should be visited before node27\nnode 19 should be visited before node12\nnode 19 should be visited before node17\nnode 19 should be visited before node3\nnode 19 should be visited before node14\nnode 19 should be visited before node21\nnode 19 should be visited before node29\nnode 19 should be visited before node5\nnode 19 should be visited before node15\nnode 19 should be visited before node26\nnode 19 should be visited before node25\nnode 19 should be visited before node22\nnode 20 should be visited before node12\nnode 20 should be visited before node23\nnode 20 should be visited before node9\nnode 20 should be visited before node6\nnode 20 should be visited before node28\nnode 20 should be visited before node13\nnode 20 should be visited before node15\nnode 20 should be visited before node26\nnode 20 should be visited before node30\nnode 20 should be visited before node25\nnode 20 should be visited before node22\nnode 20 should be visited before node10\nnode 21 should be visited before node29\nnode 21 should be visited before node5\nnode 21 should be visited before node28\nnode 21 should be visited before node15\nnode 21 should be visited before node1\nnode 21 should be visited before node25\nnode 21 should be visited before node8\nnode 21 should be visited before node11\nnode 21 should be visited before node10\nnode 21 should be visited before node31\nnode 22 should be visited before node16\nnode 22 should be visited before node11\nnode 23 should be visited before node14\nnode 23 should be visited before node21\nnode 23 should be visited before node7\nnode 23 should be visited before node0\nnode 23 should be visited before node29\nnode 23 should be visited before node28\nnode 23 should be visited before node13\nnode 23 should be visited before node30\nnode 23 should be visited before node18\nnode 23 should be visited before node25\nnode 23 should be visited before node4\nnode 23 should be visited before node22\nnode 23 should be visited before node11\nnode 23 should be visited before node10\nnode 24 should be visited before node29\nnode 24 should be visited before node13\nnode 24 should be visited before node15\nnode 24 should be visited before node30\nnode 24 should be visited before node18\nnode 24 should be visited before node1\nnode 24 should be visited before node25\nnode 24 should be visited before node8\nnode 25 should be visited before node4\nnode 25 should be visited before node22\nnode 25 should be visited before node16\nnode 25 should be visited before node31\nnode 26 should be visited before node30\nnode 26 should be visited before node1\nnode 26 should be visited before node16\nnode 26 should be visited before node10\nnode 27 should be visited before node2\nnode 27 should be visited before node9\nnode 27 should be visited before node0\nnode 27 should be visited before node5\nnode 27 should be visited before node28\nnode 27 should be visited before node13\nnode 27 should be visited before node15\nnode 27 should be visited before node18\nnode 27 should be visited before node1\nnode 27 should be visited before node4\nnode 27 should be visited before node22\nnode 27 should be visited before node16\nnode 27 should be visited before node11\nnode 27 should be visited before node31\nnode 28 should be visited before node13\nnode 28 should be visited before node15\nnode 28 should be visited before node30\nnode 28 should be visited before node1\nnode 28 should be visited before node25\nnode 28 should be visited before node4\nnode 28 should be visited before node22\nnode 29 should be visited before node28\nnode 29 should be visited before node13\nnode 29 should be visited before node15\nnode 29 should be visited before node26\nnode 29 should be visited before node30\nnode 29 should be visited before node4\nnode 29 should be visited before node22\nnode 29 should be visited before node16\nnode 30 should be visited before node18\nnode 30 should be visited before node22\nnode 30 should be visited before node16\nnode 30 should be visited before node11\nnode 30 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,20,27,17,12,2,3,23,14,21,24,9,7,0,6,29,5,28,13,15,26,30,18,1,25,4,22,16,8,11,10,31."
            }
        ]
    },
    {
        "id": "topology-hard-graph526",
        "image": "data/topology/graph_visual/hard/graph526.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node5\nnode 0 should be visited before node22\nnode 0 should be visited before node17\nnode 0 should be visited before node27\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 1 should be visited before node7\nnode 1 should be visited before node23\nnode 1 should be visited before node12\nnode 2 should be visited before node14\nnode 2 should be visited before node26\nnode 2 should be visited before node10\nnode 2 should be visited before node7\nnode 2 should be visited before node18\nnode 2 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node13\nnode 2 should be visited before node15\nnode 3 should be visited before node26\nnode 3 should be visited before node16\nnode 3 should be visited before node24\nnode 3 should be visited before node5\nnode 3 should be visited before node27\nnode 3 should be visited before node13\nnode 3 should be visited before node28\nnode 5 should be visited before node27\nnode 6 should be visited before node10\nnode 6 should be visited before node1\nnode 6 should be visited before node18\nnode 6 should be visited before node0\nnode 6 should be visited before node22\nnode 6 should be visited before node9\nnode 6 should be visited before node13\nnode 7 should be visited before node27\nnode 7 should be visited before node9\nnode 8 should be visited before node21\nnode 8 should be visited before node2\nnode 8 should be visited before node24\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node19\nnode 8 should be visited before node23\nnode 8 should be visited before node17\nnode 8 should be visited before node27\nnode 8 should be visited before node15\nnode 9 should be visited before node15\nnode 9 should be visited before node4\nnode 10 should be visited before node24\nnode 10 should be visited before node1\nnode 10 should be visited before node19\nnode 10 should be visited before node22\nnode 10 should be visited before node27\nnode 10 should be visited before node13\nnode 11 should be visited before node14\nnode 11 should be visited before node25\nnode 11 should be visited before node26\nnode 11 should be visited before node18\nnode 11 should be visited before node0\nnode 11 should be visited before node19\nnode 11 should be visited before node27\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 13 should be visited before node15\nnode 13 should be visited before node12\nnode 14 should be visited before node26\nnode 14 should be visited before node10\nnode 14 should be visited before node24\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 14 should be visited before node22\nnode 14 should be visited before node13\nnode 16 should be visited before node7\nnode 16 should be visited before node22\nnode 16 should be visited before node13\nnode 16 should be visited before node28\nnode 16 should be visited before node15\nnode 16 should be visited before node12\nnode 16 should be visited before node4\nnode 17 should be visited before node13\nnode 17 should be visited before node28\nnode 17 should be visited before node12\nnode 18 should be visited before node0\nnode 18 should be visited before node23\nnode 18 should be visited before node27\nnode 18 should be visited before node9\nnode 19 should be visited before node23\nnode 19 should be visited before node22\nnode 19 should be visited before node28\nnode 19 should be visited before node15\nnode 20 should be visited before node21\nnode 20 should be visited before node2\nnode 20 should be visited before node6\nnode 20 should be visited before node10\nnode 20 should be visited before node1\nnode 20 should be visited before node7\nnode 20 should be visited before node19\nnode 20 should be visited before node27\nnode 20 should be visited before node9\nnode 21 should be visited before node3\nnode 21 should be visited before node6\nnode 21 should be visited before node26\nnode 21 should be visited before node1\nnode 21 should be visited before node18\nnode 21 should be visited before node0\nnode 21 should be visited before node22\nnode 21 should be visited before node28\nnode 21 should be visited before node15\nnode 22 should be visited before node17\nnode 22 should be visited before node27\nnode 22 should be visited before node13\nnode 23 should be visited before node22\nnode 23 should be visited before node13\nnode 23 should be visited before node15\nnode 24 should be visited before node7\nnode 24 should be visited before node0\nnode 24 should be visited before node19\nnode 24 should be visited before node23\nnode 24 should be visited before node22\nnode 24 should be visited before node27\nnode 24 should be visited before node28\nnode 25 should be visited before node10\nnode 25 should be visited before node28\nnode 26 should be visited before node18\nnode 26 should be visited before node17\nnode 26 should be visited before node28\nnode 27 should be visited before node15\nnode 28 should be visited before node4\nnode 29 should be visited before node25\nnode 29 should be visited before node26\nnode 29 should be visited before node10\nnode 29 should be visited before node1\nnode 29 should be visited before node7\nnode 29 should be visited before node22\nnode 29 should be visited before node27\nnode 29 should be visited before node9\nnode 29 should be visited before node28\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,11,20,29,21,2,25,3,6,14,16,26,10,18,24,1,0,19,7,5,23,9,22,17,27,13,28,15,12,4."
            }
        ]
    },
    {
        "id": "topology-hard-graph1186",
        "image": "data/topology/graph_visual/hard/graph1186.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node29\nnode 0 should be visited before node27\nnode 0 should be visited before node24\nnode 0 should be visited before node33\nnode 0 should be visited before node32\nnode 0 should be visited before node30\nnode 0 should be visited before node19\nnode 0 should be visited before node15\nnode 0 should be visited before node2\nnode 0 should be visited before node18\nnode 0 should be visited before node34\nnode 0 should be visited before node22\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 0 should be visited before node13\nnode 1 should be visited before node18\nnode 1 should be visited before node34\nnode 1 should be visited before node5\nnode 1 should be visited before node23\nnode 1 should be visited before node13\nnode 2 should be visited before node23\nnode 3 should be visited before node28\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node27\nnode 3 should be visited before node24\nnode 3 should be visited before node6\nnode 3 should be visited before node32\nnode 3 should be visited before node15\nnode 3 should be visited before node2\nnode 3 should be visited before node34\nnode 4 should be visited before node20\nnode 4 should be visited before node7\nnode 4 should be visited before node8\nnode 4 should be visited before node31\nnode 4 should be visited before node17\nnode 4 should be visited before node29\nnode 4 should be visited before node26\nnode 4 should be visited before node6\nnode 4 should be visited before node30\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node18\nnode 4 should be visited before node34\nnode 4 should be visited before node5\nnode 4 should be visited before node23\nnode 4 should be visited before node11\nnode 4 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node34\nnode 6 should be visited before node22\nnode 6 should be visited before node11\nnode 6 should be visited before node13\nnode 7 should be visited before node28\nnode 7 should be visited before node8\nnode 7 should be visited before node9\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 7 should be visited before node27\nnode 7 should be visited before node33\nnode 7 should be visited before node26\nnode 7 should be visited before node6\nnode 7 should be visited before node32\nnode 7 should be visited before node19\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node34\nnode 7 should be visited before node5\nnode 7 should be visited before node11\nnode 8 should be visited before node12\nnode 8 should be visited before node25\nnode 8 should be visited before node16\nnode 8 should be visited before node31\nnode 8 should be visited before node0\nnode 8 should be visited before node32\nnode 8 should be visited before node19\nnode 8 should be visited before node1\nnode 8 should be visited before node18\nnode 8 should be visited before node34\nnode 8 should be visited before node22\nnode 8 should be visited before node11\nnode 9 should be visited before node31\nnode 9 should be visited before node17\nnode 9 should be visited before node0\nnode 9 should be visited before node14\nnode 9 should be visited before node24\nnode 9 should be visited before node26\nnode 9 should be visited before node6\nnode 9 should be visited before node32\nnode 9 should be visited before node30\nnode 9 should be visited before node19\nnode 9 should be visited before node23\nnode 9 should be visited before node13\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node31\nnode 10 should be visited before node0\nnode 10 should be visited before node29\nnode 10 should be visited before node24\nnode 10 should be visited before node33\nnode 10 should be visited before node26\nnode 10 should be visited before node6\nnode 10 should be visited before node32\nnode 10 should be visited before node30\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node22\nnode 10 should be visited before node11\nnode 10 should be visited before node13\nnode 11 should be visited before node13\nnode 12 should be visited before node25\nnode 12 should be visited before node9\nnode 12 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node6\nnode 12 should be visited before node32\nnode 12 should be visited before node2\nnode 12 should be visited before node22\nnode 14 should be visited before node24\nnode 14 should be visited before node26\nnode 14 should be visited before node6\nnode 14 should be visited before node30\nnode 14 should be visited before node1\nnode 14 should be visited before node15\nnode 14 should be visited before node18\nnode 14 should be visited before node23\nnode 14 should be visited before node11\nnode 14 should be visited before node13\nnode 15 should be visited before node2\nnode 15 should be visited before node34\nnode 15 should be visited before node22\nnode 15 should be visited before node5\nnode 15 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node14\nnode 16 should be visited before node27\nnode 16 should be visited before node24\nnode 16 should be visited before node33\nnode 16 should be visited before node26\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node1\nnode 16 should be visited before node15\nnode 16 should be visited before node11\nnode 17 should be visited before node14\nnode 17 should be visited before node27\nnode 17 should be visited before node26\nnode 17 should be visited before node6\nnode 17 should be visited before node1\nnode 17 should be visited before node34\nnode 17 should be visited before node5\nnode 17 should be visited before node23\nnode 17 should be visited before node11\nnode 18 should be visited before node22\nnode 19 should be visited before node1\nnode 19 should be visited before node15\nnode 19 should be visited before node2\nnode 19 should be visited before node34\nnode 19 should be visited before node23\nnode 19 should be visited before node13\nnode 20 should be visited before node3\nnode 20 should be visited before node21\nnode 20 should be visited before node8\nnode 20 should be visited before node12\nnode 20 should be visited before node16\nnode 20 should be visited before node9\nnode 20 should be visited before node31\nnode 20 should be visited before node17\nnode 20 should be visited before node0\nnode 20 should be visited before node29\nnode 20 should be visited before node6\nnode 20 should be visited before node30\nnode 20 should be visited before node15\nnode 20 should be visited before node2\nnode 20 should be visited before node18\nnode 20 should be visited before node34\nnode 20 should be visited before node5\nnode 20 should be visited before node23\nnode 20 should be visited before node11\nnode 21 should be visited before node28\nnode 21 should be visited before node12\nnode 21 should be visited before node25\nnode 21 should be visited before node17\nnode 21 should be visited before node0\nnode 21 should be visited before node29\nnode 21 should be visited before node24\nnode 21 should be visited before node6\nnode 21 should be visited before node19\nnode 21 should be visited before node15\nnode 21 should be visited before node2\nnode 21 should be visited before node34\nnode 21 should be visited before node11\nnode 21 should be visited before node13\nnode 22 should be visited before node23\nnode 22 should be visited before node11\nnode 22 should be visited before node13\nnode 23 should be visited before node11\nnode 23 should be visited before node13\nnode 24 should be visited before node33\nnode 24 should be visited before node26\nnode 24 should be visited before node6\nnode 24 should be visited before node2\nnode 24 should be visited before node34\nnode 24 should be visited before node22\nnode 24 should be visited before node5\nnode 24 should be visited before node11\nnode 24 should be visited before node13\nnode 25 should be visited before node9\nnode 25 should be visited before node31\nnode 25 should be visited before node0\nnode 25 should be visited before node14\nnode 25 should be visited before node27\nnode 25 should be visited before node24\nnode 25 should be visited before node33\nnode 25 should be visited before node32\nnode 25 should be visited before node30\nnode 25 should be visited before node22\nnode 26 should be visited before node6\nnode 26 should be visited before node19\nnode 26 should be visited before node34\nnode 26 should be visited before node11\nnode 27 should be visited before node24\nnode 27 should be visited before node33\nnode 27 should be visited before node26\nnode 27 should be visited before node32\nnode 27 should be visited before node19\nnode 27 should be visited before node1\nnode 27 should be visited before node15\nnode 27 should be visited before node2\nnode 27 should be visited before node18\nnode 27 should be visited before node34\nnode 27 should be visited before node22\nnode 27 should be visited before node5\nnode 28 should be visited before node8\nnode 28 should be visited before node12\nnode 28 should be visited before node16\nnode 28 should be visited before node9\nnode 28 should be visited before node31\nnode 28 should be visited before node29\nnode 28 should be visited before node33\nnode 28 should be visited before node26\nnode 28 should be visited before node32\nnode 28 should be visited before node1\nnode 28 should be visited before node18\nnode 28 should be visited before node22\nnode 28 should be visited before node23\nnode 29 should be visited before node33\nnode 29 should be visited before node26\nnode 29 should be visited before node6\nnode 29 should be visited before node32\nnode 29 should be visited before node30\nnode 29 should be visited before node1\nnode 29 should be visited before node15\nnode 29 should be visited before node2\nnode 29 should be visited before node18\nnode 29 should be visited before node22\nnode 29 should be visited before node13\nnode 30 should be visited before node19\nnode 30 should be visited before node34\nnode 30 should be visited before node22\nnode 30 should be visited before node23\nnode 31 should be visited before node14\nnode 31 should be visited before node24\nnode 31 should be visited before node33\nnode 31 should be visited before node26\nnode 31 should be visited before node19\nnode 31 should be visited before node34\nnode 31 should be visited before node22\nnode 31 should be visited before node5\nnode 31 should be visited before node23\nnode 31 should be visited before node13\nnode 32 should be visited before node1\nnode 32 should be visited before node18\nnode 32 should be visited before node34\nnode 32 should be visited before node22\nnode 32 should be visited before node23\nnode 32 should be visited before node13\nnode 33 should be visited before node26\nnode 33 should be visited before node6\nnode 33 should be visited before node32\nnode 33 should be visited before node18\nnode 33 should be visited before node34\nnode 33 should be visited before node13\nnode 34 should be visited before node22\nnode 34 should be visited before node23\nnode 34 should be visited before node11\nnode 34 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,10,20,7,3,21,28,8,12,16,25,9,31,17,0,14,29,27,30,24,33,26,32,6,19,1,15,18,2,34,5,22,23,11,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph176",
        "image": "data/topology/graph_visual/hard/graph176.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node11\nnode 0 should be visited before node23\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 0 should be visited before node21\nnode 0 should be visited before node4\nnode 0 should be visited before node19\nnode 0 should be visited before node10\nnode 0 should be visited before node18\nnode 0 should be visited before node6\nnode 1 should be visited before node14\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node10\nnode 1 should be visited before node25\nnode 2 should be visited before node5\nnode 2 should be visited before node21\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 2 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node10\nnode 4 should be visited before node18\nnode 4 should be visited before node25\nnode 4 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node19\nnode 7 should be visited before node17\nnode 7 should be visited before node4\nnode 7 should be visited before node19\nnode 7 should be visited before node25\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 8 should be visited before node23\nnode 8 should be visited before node7\nnode 8 should be visited before node17\nnode 8 should be visited before node2\nnode 8 should be visited before node21\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 10 should be visited before node18\nnode 10 should be visited before node12\nnode 11 should be visited before node22\nnode 11 should be visited before node24\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node12\nnode 11 should be visited before node6\nnode 13 should be visited before node21\nnode 13 should be visited before node19\nnode 13 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node9\nnode 14 should be visited before node7\nnode 14 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node18\nnode 14 should be visited before node25\nnode 15 should be visited before node7\nnode 15 should be visited before node5\nnode 15 should be visited before node10\nnode 15 should be visited before node18\nnode 15 should be visited before node12\nnode 15 should be visited before node6\nnode 15 should be visited before node9\nnode 16 should be visited before node2\nnode 16 should be visited before node13\nnode 16 should be visited before node20\nnode 16 should be visited before node4\nnode 16 should be visited before node12\nnode 17 should be visited before node20\nnode 17 should be visited before node21\nnode 17 should be visited before node10\nnode 17 should be visited before node12\nnode 19 should be visited before node3\nnode 19 should be visited before node25\nnode 20 should be visited before node6\nnode 20 should be visited before node9\nnode 21 should be visited before node25\nnode 21 should be visited before node9\nnode 22 should be visited before node24\nnode 22 should be visited before node7\nnode 22 should be visited before node17\nnode 22 should be visited before node2\nnode 22 should be visited before node21\nnode 22 should be visited before node3\nnode 22 should be visited before node18\nnode 22 should be visited before node6\nnode 23 should be visited before node17\nnode 23 should be visited before node16\nnode 23 should be visited before node18\nnode 23 should be visited before node9\nnode 24 should be visited before node7\nnode 24 should be visited before node4\nnode 24 should be visited before node19\nnode 24 should be visited before node18\nnode 24 should be visited before node25\nnode 24 should be visited before node9\nnode 26 should be visited before node14\nnode 26 should be visited before node7\nnode 26 should be visited before node5\nnode 26 should be visited before node19\nnode 26 should be visited before node18\nnode 26 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,8,15,26,11,23,14,22,16,24,2,13,7,5,17,4,19,20,21,10,3,6,25,9,18,12."
            }
        ]
    },
    {
        "id": "topology-hard-graph32",
        "image": "data/topology/graph_visual/hard/graph32.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node21\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 2 should be visited before node23\nnode 2 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node24\nnode 3 should be visited before node14\nnode 3 should be visited before node6\nnode 7 should be visited before node12\nnode 7 should be visited before node17\nnode 7 should be visited before node22\nnode 7 should be visited before node5\nnode 8 should be visited before node23\nnode 8 should be visited before node24\nnode 8 should be visited before node14\nnode 8 should be visited before node1\nnode 8 should be visited before node22\nnode 9 should be visited before node24\nnode 9 should be visited before node14\nnode 9 should be visited before node22\nnode 9 should be visited before node5\nnode 10 should be visited before node20\nnode 10 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node23\nnode 10 should be visited before node13\nnode 10 should be visited before node24\nnode 10 should be visited before node14\nnode 10 should be visited before node22\nnode 11 should be visited before node23\nnode 11 should be visited before node24\nnode 11 should be visited before node22\nnode 11 should be visited before node21\nnode 12 should be visited before node13\nnode 12 should be visited before node24\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 13 should be visited before node24\nnode 13 should be visited before node21\nnode 13 should be visited before node5\nnode 14 should be visited before node1\nnode 15 should be visited before node7\nnode 15 should be visited before node17\nnode 15 should be visited before node9\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node21\nnode 15 should be visited before node5\nnode 16 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node4\nnode 16 should be visited before node5\nnode 17 should be visited before node9\nnode 17 should be visited before node13\nnode 17 should be visited before node4\nnode 17 should be visited before node5\nnode 18 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 18 should be visited before node9\nnode 18 should be visited before node24\nnode 18 should be visited before node14\nnode 18 should be visited before node1\nnode 18 should be visited before node5\nnode 19 should be visited before node20\nnode 19 should be visited before node8\nnode 19 should be visited before node7\nnode 19 should be visited before node16\nnode 19 should be visited before node12\nnode 19 should be visited before node11\nnode 19 should be visited before node17\nnode 19 should be visited before node9\nnode 19 should be visited before node23\nnode 19 should be visited before node14\nnode 20 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node23\nnode 20 should be visited before node13\nnode 20 should be visited before node6\nnode 20 should be visited before node0\nnode 21 should be visited before node4\nnode 21 should be visited before node5\nnode 22 should be visited before node21\nnode 22 should be visited before node4\nnode 24 should be visited before node22\nnode 24 should be visited before node21\nnode 25 should be visited before node8\nnode 25 should be visited before node7\nnode 25 should be visited before node23\nnode 25 should be visited before node6\nnode 25 should be visited before node0\nnode 25 should be visited before node21\nnode 25 should be visited before node4\nnode 25 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,10,15,18,25,19,20,8,7,16,11,6,0,12,17,23,9,13,14,24,1,22,21,4,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph422",
        "image": "data/topology/graph_visual/hard/graph422.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node25\nnode 0 should be visited before node10\nnode 0 should be visited before node15\nnode 0 should be visited before node26\nnode 0 should be visited before node27\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node20\nnode 0 should be visited before node18\nnode 0 should be visited before node19\nnode 0 should be visited before node8\nnode 0 should be visited before node7\nnode 0 should be visited before node14\nnode 0 should be visited before node23\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node14\nnode 2 should be visited before node8\nnode 2 should be visited before node7\nnode 2 should be visited before node23\nnode 3 should be visited before node20\nnode 3 should be visited before node18\nnode 3 should be visited before node19\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node23\nnode 4 should be visited before node3\nnode 4 should be visited before node20\nnode 4 should be visited before node2\nnode 4 should be visited before node8\nnode 4 should be visited before node14\nnode 4 should be visited before node23\nnode 5 should be visited before node12\nnode 5 should be visited before node28\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node17\nnode 5 should be visited before node10\nnode 5 should be visited before node1\nnode 5 should be visited before node18\nnode 5 should be visited before node19\nnode 5 should be visited before node8\nnode 5 should be visited before node7\nnode 5 should be visited before node14\nnode 6 should be visited before node10\nnode 6 should be visited before node15\nnode 6 should be visited before node26\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node4\nnode 6 should be visited before node20\nnode 6 should be visited before node18\nnode 6 should be visited before node19\nnode 6 should be visited before node23\nnode 7 should be visited before node14\nnode 7 should be visited before node23\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node26\nnode 9 should be visited before node27\nnode 9 should be visited before node1\nnode 9 should be visited before node3\nnode 9 should be visited before node20\nnode 9 should be visited before node18\nnode 9 should be visited before node23\nnode 10 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node4\nnode 10 should be visited before node19\nnode 10 should be visited before node2\nnode 10 should be visited before node8\nnode 11 should be visited before node12\nnode 11 should be visited before node10\nnode 11 should be visited before node16\nnode 11 should be visited before node27\nnode 11 should be visited before node3\nnode 11 should be visited before node18\nnode 11 should be visited before node2\nnode 11 should be visited before node14\nnode 12 should be visited before node28\nnode 12 should be visited before node15\nnode 12 should be visited before node4\nnode 12 should be visited before node20\nnode 12 should be visited before node19\nnode 12 should be visited before node2\nnode 12 should be visited before node8\nnode 12 should be visited before node7\nnode 12 should be visited before node14\nnode 12 should be visited before node23\nnode 13 should be visited before node11\nnode 13 should be visited before node0\nnode 13 should be visited before node25\nnode 13 should be visited before node6\nnode 13 should be visited before node15\nnode 13 should be visited before node16\nnode 13 should be visited before node4\nnode 13 should be visited before node3\nnode 13 should be visited before node19\nnode 13 should be visited before node2\nnode 13 should be visited before node8\nnode 13 should be visited before node14\nnode 15 should be visited before node26\nnode 15 should be visited before node16\nnode 15 should be visited before node27\nnode 15 should be visited before node3\nnode 15 should be visited before node20\nnode 15 should be visited before node18\nnode 15 should be visited before node19\nnode 15 should be visited before node7\nnode 15 should be visited before node14\nnode 15 should be visited before node23\nnode 16 should be visited before node1\nnode 16 should be visited before node3\nnode 16 should be visited before node20\nnode 16 should be visited before node18\nnode 16 should be visited before node23\nnode 17 should be visited before node15\nnode 17 should be visited before node26\nnode 17 should be visited before node16\nnode 17 should be visited before node1\nnode 17 should be visited before node18\nnode 17 should be visited before node19\nnode 17 should be visited before node2\nnode 17 should be visited before node8\nnode 17 should be visited before node7\nnode 17 should be visited before node14\nnode 17 should be visited before node23\nnode 18 should be visited before node19\nnode 18 should be visited before node8\nnode 19 should be visited before node2\nnode 19 should be visited before node14\nnode 20 should be visited before node18\nnode 20 should be visited before node19\nnode 20 should be visited before node2\nnode 21 should be visited before node5\nnode 21 should be visited before node0\nnode 21 should be visited before node17\nnode 21 should be visited before node10\nnode 21 should be visited before node15\nnode 21 should be visited before node26\nnode 21 should be visited before node27\nnode 21 should be visited before node1\nnode 21 should be visited before node18\nnode 21 should be visited before node2\nnode 21 should be visited before node8\nnode 21 should be visited before node7\nnode 22 should be visited before node11\nnode 22 should be visited before node5\nnode 22 should be visited before node9\nnode 22 should be visited before node12\nnode 22 should be visited before node17\nnode 22 should be visited before node15\nnode 22 should be visited before node26\nnode 22 should be visited before node16\nnode 22 should be visited before node27\nnode 22 should be visited before node4\nnode 22 should be visited before node3\nnode 22 should be visited before node18\nnode 22 should be visited before node8\nnode 22 should be visited before node23\nnode 24 should be visited before node13\nnode 24 should be visited before node9\nnode 24 should be visited before node12\nnode 24 should be visited before node25\nnode 24 should be visited before node6\nnode 24 should be visited before node15\nnode 24 should be visited before node16\nnode 24 should be visited before node27\nnode 24 should be visited before node1\nnode 24 should be visited before node18\nnode 24 should be visited before node19\nnode 24 should be visited before node2\nnode 24 should be visited before node8\nnode 24 should be visited before node7\nnode 25 should be visited before node6\nnode 25 should be visited before node17\nnode 25 should be visited before node10\nnode 25 should be visited before node26\nnode 25 should be visited before node27\nnode 25 should be visited before node8\nnode 25 should be visited before node7\nnode 25 should be visited before node14\nnode 26 should be visited before node1\nnode 26 should be visited before node4\nnode 26 should be visited before node3\nnode 26 should be visited before node20\nnode 26 should be visited before node8\nnode 26 should be visited before node23\nnode 27 should be visited before node1\nnode 27 should be visited before node4\nnode 27 should be visited before node3\nnode 27 should be visited before node20\nnode 27 should be visited before node18\nnode 27 should be visited before node19\nnode 27 should be visited before node2\nnode 27 should be visited before node8\nnode 27 should be visited before node7\nnode 27 should be visited before node23\nnode 28 should be visited before node25\nnode 28 should be visited before node17\nnode 28 should be visited before node10\nnode 28 should be visited before node15\nnode 28 should be visited before node3\nnode 28 should be visited before node20\nnode 28 should be visited before node18\nnode 28 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,22,24,5,13,9,11,0,12,28,25,6,17,10,15,26,16,27,1,4,3,20,18,19,2,8,7,14,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph125",
        "image": "data/topology/graph_visual/hard/graph125.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node22\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node25\nnode 1 should be visited before node21\nnode 1 should be visited before node2\nnode 1 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node25\nnode 1 should be visited before node26\nnode 2 should be visited before node11\nnode 2 should be visited before node13\nnode 2 should be visited before node20\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 3 should be visited before node18\nnode 3 should be visited before node17\nnode 3 should be visited before node15\nnode 3 should be visited before node4\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node26\nnode 4 should be visited before node21\nnode 4 should be visited before node2\nnode 4 should be visited before node11\nnode 4 should be visited before node24\nnode 4 should be visited before node7\nnode 5 should be visited before node18\nnode 5 should be visited before node22\nnode 5 should be visited before node19\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node24\nnode 5 should be visited before node25\nnode 5 should be visited before node26\nnode 6 should be visited before node7\nnode 6 should be visited before node25\nnode 6 should be visited before node20\nnode 6 should be visited before node26\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node13\nnode 9 should be visited before node18\nnode 9 should be visited before node22\nnode 9 should be visited before node17\nnode 9 should be visited before node8\nnode 9 should be visited before node21\nnode 9 should be visited before node2\nnode 9 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node22\nnode 10 should be visited before node17\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node24\nnode 10 should be visited before node7\nnode 10 should be visited before node25\nnode 11 should be visited before node13\nnode 11 should be visited before node20\nnode 12 should be visited before node0\nnode 12 should be visited before node19\nnode 12 should be visited before node6\nnode 12 should be visited before node24\nnode 12 should be visited before node20\nnode 13 should be visited before node6\nnode 13 should be visited before node25\nnode 14 should be visited before node5\nnode 14 should be visited before node9\nnode 14 should be visited before node8\nnode 14 should be visited before node21\nnode 14 should be visited before node2\nnode 15 should be visited before node8\nnode 15 should be visited before node1\nnode 15 should be visited before node4\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 16 should be visited before node5\nnode 16 should be visited before node1\nnode 16 should be visited before node21\nnode 16 should be visited before node13\nnode 16 should be visited before node7\nnode 16 should be visited before node25\nnode 16 should be visited before node20\nnode 17 should be visited before node15\nnode 17 should be visited before node8\nnode 17 should be visited before node21\nnode 17 should be visited before node13\nnode 17 should be visited before node24\nnode 17 should be visited before node25\nnode 18 should be visited before node22\nnode 18 should be visited before node15\nnode 18 should be visited before node1\nnode 18 should be visited before node21\nnode 19 should be visited before node8\nnode 19 should be visited before node21\nnode 19 should be visited before node11\nnode 19 should be visited before node13\nnode 19 should be visited before node7\nnode 19 should be visited before node25\nnode 20 should be visited before node26\nnode 21 should be visited before node13\nnode 21 should be visited before node6\nnode 21 should be visited before node7\nnode 21 should be visited before node25\nnode 22 should be visited before node1\nnode 22 should be visited before node4\nnode 22 should be visited before node11\nnode 22 should be visited before node7\nnode 22 should be visited before node26\nnode 23 should be visited before node12\nnode 23 should be visited before node5\nnode 23 should be visited before node17\nnode 23 should be visited before node15\nnode 23 should be visited before node4\nnode 23 should be visited before node2\nnode 23 should be visited before node11\nnode 23 should be visited before node26\nnode 25 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,14,16,23,10,9,12,5,0,18,19,17,22,15,8,4,1,24,21,2,11,13,6,7,25,20,26."
            }
        ]
    },
    {
        "id": "topology-hard-graph943",
        "image": "data/topology/graph_visual/hard/graph943.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 0 should be visited before node23\nnode 0 should be visited before node25\nnode 2 should be visited before node24\nnode 2 should be visited before node30\nnode 2 should be visited before node29\nnode 2 should be visited before node21\nnode 2 should be visited before node32\nnode 2 should be visited before node27\nnode 2 should be visited before node31\nnode 2 should be visited before node16\nnode 2 should be visited before node28\nnode 2 should be visited before node10\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node9\nnode 2 should be visited before node19\nnode 2 should be visited before node1\nnode 2 should be visited before node25\nnode 2 should be visited before node14\nnode 3 should be visited before node30\nnode 3 should be visited before node18\nnode 3 should be visited before node13\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node0\nnode 3 should be visited before node17\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node23\nnode 3 should be visited before node14\nnode 4 should be visited before node18\nnode 4 should be visited before node32\nnode 4 should be visited before node15\nnode 4 should be visited before node28\nnode 4 should be visited before node5\nnode 4 should be visited before node20\nnode 4 should be visited before node6\nnode 4 should be visited before node9\nnode 4 should be visited before node23\nnode 4 should be visited before node14\nnode 5 should be visited before node17\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 6 should be visited before node7\nnode 6 should be visited before node19\nnode 6 should be visited before node23\nnode 7 should be visited before node9\nnode 7 should be visited before node19\nnode 7 should be visited before node23\nnode 7 should be visited before node14\nnode 8 should be visited before node31\nnode 8 should be visited before node28\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node20\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node25\nnode 8 should be visited before node14\nnode 9 should be visited before node1\nnode 9 should be visited before node23\nnode 9 should be visited before node25\nnode 9 should be visited before node14\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node20\nnode 10 should be visited before node17\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node23\nnode 11 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node24\nnode 11 should be visited before node26\nnode 11 should be visited before node29\nnode 11 should be visited before node21\nnode 11 should be visited before node4\nnode 11 should be visited before node32\nnode 11 should be visited before node13\nnode 11 should be visited before node15\nnode 11 should be visited before node28\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 11 should be visited before node17\nnode 11 should be visited before node6\nnode 11 should be visited before node7\nnode 11 should be visited before node1\nnode 11 should be visited before node14\nnode 12 should be visited before node5\nnode 12 should be visited before node17\nnode 12 should be visited before node6\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node25\nnode 12 should be visited before node14\nnode 13 should be visited before node8\nnode 13 should be visited before node16\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node0\nnode 13 should be visited before node5\nnode 13 should be visited before node20\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node1\nnode 13 should be visited before node25\nnode 13 should be visited before node14\nnode 15 should be visited before node28\nnode 15 should be visited before node10\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node6\nnode 15 should be visited before node7\nnode 15 should be visited before node9\nnode 15 should be visited before node19\nnode 15 should be visited before node23\nnode 15 should be visited before node14\nnode 16 should be visited before node28\nnode 16 should be visited before node10\nnode 16 should be visited before node12\nnode 16 should be visited before node0\nnode 16 should be visited before node20\nnode 16 should be visited before node17\nnode 16 should be visited before node9\nnode 16 should be visited before node19\nnode 16 should be visited before node23\nnode 17 should be visited before node7\nnode 17 should be visited before node23\nnode 17 should be visited before node25\nnode 18 should be visited before node32\nnode 18 should be visited before node27\nnode 18 should be visited before node15\nnode 18 should be visited before node28\nnode 18 should be visited before node12\nnode 18 should be visited before node7\nnode 18 should be visited before node1\nnode 18 should be visited before node14\nnode 19 should be visited before node23\nnode 20 should be visited before node17\nnode 20 should be visited before node6\nnode 20 should be visited before node7\nnode 20 should be visited before node9\nnode 20 should be visited before node19\nnode 20 should be visited before node1\nnode 21 should be visited before node4\nnode 21 should be visited before node18\nnode 21 should be visited before node27\nnode 21 should be visited before node13\nnode 21 should be visited before node8\nnode 21 should be visited before node16\nnode 21 should be visited before node28\nnode 21 should be visited before node10\nnode 21 should be visited before node12\nnode 21 should be visited before node5\nnode 21 should be visited before node20\nnode 21 should be visited before node6\nnode 21 should be visited before node9\nnode 21 should be visited before node19\nnode 21 should be visited before node1\nnode 21 should be visited before node23\nnode 22 should be visited before node2\nnode 22 should be visited before node24\nnode 22 should be visited before node30\nnode 22 should be visited before node21\nnode 22 should be visited before node18\nnode 22 should be visited before node8\nnode 22 should be visited before node31\nnode 22 should be visited before node15\nnode 22 should be visited before node16\nnode 22 should be visited before node28\nnode 22 should be visited before node12\nnode 22 should be visited before node0\nnode 22 should be visited before node6\nnode 22 should be visited before node19\nnode 22 should be visited before node25\nnode 22 should be visited before node14\nnode 23 should be visited before node25\nnode 23 should be visited before node14\nnode 24 should be visited before node21\nnode 24 should be visited before node18\nnode 24 should be visited before node32\nnode 24 should be visited before node13\nnode 24 should be visited before node31\nnode 24 should be visited before node28\nnode 24 should be visited before node12\nnode 24 should be visited before node0\nnode 24 should be visited before node20\nnode 24 should be visited before node6\nnode 24 should be visited before node7\nnode 24 should be visited before node1\nnode 24 should be visited before node25\nnode 25 should be visited before node14\nnode 26 should be visited before node18\nnode 26 should be visited before node13\nnode 26 should be visited before node8\nnode 26 should be visited before node10\nnode 26 should be visited before node0\nnode 26 should be visited before node6\nnode 26 should be visited before node7\nnode 26 should be visited before node9\nnode 26 should be visited before node19\nnode 26 should be visited before node1\nnode 26 should be visited before node25\nnode 26 should be visited before node14\nnode 27 should be visited before node13\nnode 27 should be visited before node8\nnode 27 should be visited before node31\nnode 27 should be visited before node15\nnode 27 should be visited before node28\nnode 27 should be visited before node10\nnode 27 should be visited before node12\nnode 27 should be visited before node0\nnode 27 should be visited before node5\nnode 27 should be visited before node20\nnode 27 should be visited before node17\nnode 27 should be visited before node6\nnode 27 should be visited before node19\nnode 27 should be visited before node23\nnode 27 should be visited before node14\nnode 28 should be visited before node6\nnode 28 should be visited before node7\nnode 28 should be visited before node9\nnode 28 should be visited before node19\nnode 28 should be visited before node1\nnode 28 should be visited before node25\nnode 28 should be visited before node14\nnode 29 should be visited before node21\nnode 29 should be visited before node8\nnode 29 should be visited before node31\nnode 29 should be visited before node15\nnode 29 should be visited before node10\nnode 29 should be visited before node12\nnode 29 should be visited before node5\nnode 29 should be visited before node20\nnode 29 should be visited before node17\nnode 29 should be visited before node6\nnode 29 should be visited before node9\nnode 29 should be visited before node23\nnode 30 should be visited before node26\nnode 30 should be visited before node29\nnode 30 should be visited before node21\nnode 30 should be visited before node13\nnode 30 should be visited before node15\nnode 30 should be visited before node28\nnode 30 should be visited before node10\nnode 30 should be visited before node12\nnode 30 should be visited before node5\nnode 30 should be visited before node20\nnode 30 should be visited before node7\nnode 30 should be visited before node9\nnode 30 should be visited before node19\nnode 30 should be visited before node23\nnode 31 should be visited before node15\nnode 31 should be visited before node16\nnode 31 should be visited before node0\nnode 31 should be visited before node5\nnode 31 should be visited before node17\nnode 31 should be visited before node7\nnode 31 should be visited before node19\nnode 31 should be visited before node23\nnode 31 should be visited before node25\nnode 31 should be visited before node14\nnode 32 should be visited before node16\nnode 32 should be visited before node28\nnode 32 should be visited before node10\nnode 32 should be visited before node12\nnode 32 should be visited before node0\nnode 32 should be visited before node20\nnode 32 should be visited before node17\nnode 32 should be visited before node6\nnode 32 should be visited before node7\nnode 32 should be visited before node9\nnode 32 should be visited before node19\nnode 32 should be visited before node1\nnode 32 should be visited before node23\nnode 32 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,22,3,2,24,30,26,29,21,4,18,32,27,13,8,31,15,16,28,10,0,12,20,5,6,17,7,9,19,1,23,25,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph379",
        "image": "data/topology/graph_visual/hard/graph379.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node13\nnode 0 should be visited before node6\nnode 0 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node15\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node2\nnode 1 should be visited before node18\nnode 3 should be visited before node22\nnode 3 should be visited before node2\nnode 3 should be visited before node10\nnode 4 should be visited before node10\nnode 4 should be visited before node18\nnode 4 should be visited before node7\nnode 5 should be visited before node20\nnode 5 should be visited before node25\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node27\nnode 6 should be visited before node19\nnode 6 should be visited before node22\nnode 6 should be visited before node2\nnode 6 should be visited before node4\nnode 8 should be visited before node0\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node19\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 9 should be visited before node23\nnode 9 should be visited before node8\nnode 9 should be visited before node13\nnode 9 should be visited before node6\nnode 9 should be visited before node14\nnode 9 should be visited before node27\nnode 11 should be visited before node5\nnode 11 should be visited before node23\nnode 11 should be visited before node25\nnode 11 should be visited before node16\nnode 11 should be visited before node26\nnode 11 should be visited before node1\nnode 11 should be visited before node14\nnode 11 should be visited before node22\nnode 11 should be visited before node2\nnode 11 should be visited before node7\nnode 11 should be visited before node27\nnode 12 should be visited before node15\nnode 12 should be visited before node19\nnode 13 should be visited before node14\nnode 13 should be visited before node4\nnode 13 should be visited before node18\nnode 14 should be visited before node19\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node27\nnode 16 should be visited before node3\nnode 16 should be visited before node14\nnode 16 should be visited before node22\nnode 16 should be visited before node2\nnode 17 should be visited before node20\nnode 17 should be visited before node25\nnode 17 should be visited before node3\nnode 17 should be visited before node2\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node27\nnode 18 should be visited before node27\nnode 19 should be visited before node7\nnode 20 should be visited before node25\nnode 20 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node3\nnode 20 should be visited before node8\nnode 20 should be visited before node10\nnode 20 should be visited before node18\nnode 20 should be visited before node7\nnode 21 should be visited before node9\nnode 21 should be visited before node26\nnode 21 should be visited before node3\nnode 21 should be visited before node13\nnode 22 should be visited before node2\nnode 22 should be visited before node4\nnode 22 should be visited before node10\nnode 23 should be visited before node25\nnode 23 should be visited before node15\nnode 23 should be visited before node2\nnode 23 should be visited before node4\nnode 23 should be visited before node10\nnode 23 should be visited before node27\nnode 24 should be visited before node21\nnode 24 should be visited before node5\nnode 24 should be visited before node9\nnode 24 should be visited before node23\nnode 24 should be visited before node16\nnode 24 should be visited before node26\nnode 24 should be visited before node3\nnode 24 should be visited before node15\nnode 24 should be visited before node8\nnode 25 should be visited before node15\nnode 25 should be visited before node8\nnode 25 should be visited before node0\nnode 25 should be visited before node19\nnode 25 should be visited before node22\nnode 25 should be visited before node4\nnode 25 should be visited before node10\nnode 26 should be visited before node12\nnode 26 should be visited before node1\nnode 26 should be visited before node15\nnode 26 should be visited before node6\nnode 26 should be visited before node4\nnode 26 should be visited before node27\nnode 28 should be visited before node9\nnode 28 should be visited before node25\nnode 28 should be visited before node12\nnode 28 should be visited before node0\nnode 28 should be visited before node19\nnode 28 should be visited before node2\nnode 28 should be visited before node18\nnode 28 should be visited before node27\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,17,24,28,21,5,16,9,26,20,23,12,1,25,3,15,8,0,13,6,14,22,19,2,4,10,18,7,27."
            }
        ]
    },
    {
        "id": "topology-hard-graph916",
        "image": "data/topology/graph_visual/hard/graph916.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node29\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 0 should be visited before node9\nnode 0 should be visited before node12\nnode 0 should be visited before node8\nnode 0 should be visited before node15\nnode 0 should be visited before node16\nnode 0 should be visited before node6\nnode 0 should be visited before node24\nnode 0 should be visited before node28\nnode 1 should be visited before node22\nnode 1 should be visited before node18\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node21\nnode 1 should be visited before node9\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node15\nnode 1 should be visited before node16\nnode 1 should be visited before node6\nnode 1 should be visited before node20\nnode 2 should be visited before node20\nnode 3 should be visited before node12\nnode 3 should be visited before node15\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node28\nnode 5 should be visited before node16\nnode 5 should be visited before node6\nnode 5 should be visited before node24\nnode 7 should be visited before node3\nnode 7 should be visited before node21\nnode 7 should be visited before node9\nnode 7 should be visited before node8\nnode 7 should be visited before node15\nnode 7 should be visited before node28\nnode 8 should be visited before node24\nnode 8 should be visited before node28\nnode 8 should be visited before node20\nnode 9 should be visited before node2\nnode 9 should be visited before node20\nnode 10 should be visited before node22\nnode 10 should be visited before node18\nnode 10 should be visited before node32\nnode 10 should be visited before node19\nnode 10 should be visited before node31\nnode 10 should be visited before node0\nnode 10 should be visited before node30\nnode 10 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node6\nnode 10 should be visited before node24\nnode 11 should be visited before node3\nnode 11 should be visited before node21\nnode 11 should be visited before node9\nnode 11 should be visited before node8\nnode 11 should be visited before node16\nnode 11 should be visited before node6\nnode 11 should be visited before node20\nnode 12 should be visited before node8\nnode 12 should be visited before node6\nnode 12 should be visited before node24\nnode 12 should be visited before node28\nnode 12 should be visited before node20\nnode 13 should be visited before node10\nnode 13 should be visited before node22\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 13 should be visited before node31\nnode 13 should be visited before node30\nnode 13 should be visited before node26\nnode 13 should be visited before node4\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node28\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node3\nnode 14 should be visited before node12\nnode 14 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node20\nnode 15 should be visited before node24\nnode 15 should be visited before node28\nnode 15 should be visited before node20\nnode 16 should be visited before node6\nnode 16 should be visited before node24\nnode 16 should be visited before node2\nnode 17 should be visited before node11\nnode 17 should be visited before node7\nnode 17 should be visited before node21\nnode 17 should be visited before node9\nnode 17 should be visited before node5\nnode 17 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node6\nnode 17 should be visited before node2\nnode 18 should be visited before node32\nnode 18 should be visited before node31\nnode 18 should be visited before node0\nnode 18 should be visited before node30\nnode 18 should be visited before node29\nnode 18 should be visited before node4\nnode 18 should be visited before node11\nnode 18 should be visited before node7\nnode 18 should be visited before node12\nnode 18 should be visited before node15\nnode 18 should be visited before node24\nnode 18 should be visited before node28\nnode 18 should be visited before node2\nnode 19 should be visited before node30\nnode 19 should be visited before node26\nnode 19 should be visited before node11\nnode 19 should be visited before node7\nnode 19 should be visited before node3\nnode 19 should be visited before node5\nnode 19 should be visited before node15\nnode 19 should be visited before node16\nnode 19 should be visited before node6\nnode 19 should be visited before node2\nnode 19 should be visited before node20\nnode 21 should be visited before node12\nnode 21 should be visited before node15\nnode 21 should be visited before node16\nnode 21 should be visited before node28\nnode 22 should be visited before node18\nnode 22 should be visited before node29\nnode 22 should be visited before node26\nnode 22 should be visited before node11\nnode 22 should be visited before node7\nnode 22 should be visited before node9\nnode 22 should be visited before node12\nnode 22 should be visited before node15\nnode 22 should be visited before node24\nnode 22 should be visited before node28\nnode 22 should be visited before node2\nnode 22 should be visited before node20\nnode 23 should be visited before node13\nnode 23 should be visited before node10\nnode 23 should be visited before node14\nnode 23 should be visited before node19\nnode 23 should be visited before node31\nnode 23 should be visited before node29\nnode 23 should be visited before node4\nnode 23 should be visited before node21\nnode 23 should be visited before node8\nnode 23 should be visited before node24\nnode 23 should be visited before node28\nnode 24 should be visited before node28\nnode 25 should be visited before node22\nnode 25 should be visited before node32\nnode 25 should be visited before node19\nnode 25 should be visited before node29\nnode 25 should be visited before node26\nnode 25 should be visited before node4\nnode 25 should be visited before node3\nnode 25 should be visited before node9\nnode 25 should be visited before node12\nnode 25 should be visited before node5\nnode 25 should be visited before node8\nnode 25 should be visited before node15\nnode 25 should be visited before node24\nnode 25 should be visited before node28\nnode 26 should be visited before node4\nnode 26 should be visited before node21\nnode 26 should be visited before node12\nnode 26 should be visited before node15\nnode 26 should be visited before node16\nnode 26 should be visited before node6\nnode 26 should be visited before node28\nnode 26 should be visited before node2\nnode 26 should be visited before node20\nnode 27 should be visited before node13\nnode 27 should be visited before node25\nnode 27 should be visited before node22\nnode 27 should be visited before node32\nnode 27 should be visited before node19\nnode 27 should be visited before node0\nnode 27 should be visited before node30\nnode 27 should be visited before node29\nnode 27 should be visited before node11\nnode 27 should be visited before node7\nnode 27 should be visited before node21\nnode 27 should be visited before node9\nnode 27 should be visited before node12\nnode 27 should be visited before node5\nnode 27 should be visited before node8\nnode 27 should be visited before node6\nnode 27 should be visited before node24\nnode 27 should be visited before node2\nnode 27 should be visited before node20\nnode 28 should be visited before node2\nnode 29 should be visited before node17\nnode 29 should be visited before node4\nnode 29 should be visited before node11\nnode 29 should be visited before node3\nnode 29 should be visited before node12\nnode 29 should be visited before node5\nnode 29 should be visited before node8\nnode 29 should be visited before node15\nnode 29 should be visited before node16\nnode 29 should be visited before node6\nnode 30 should be visited before node17\nnode 30 should be visited before node26\nnode 30 should be visited before node4\nnode 30 should be visited before node7\nnode 30 should be visited before node3\nnode 30 should be visited before node21\nnode 30 should be visited before node9\nnode 30 should be visited before node15\nnode 30 should be visited before node24\nnode 30 should be visited before node20\nnode 31 should be visited before node0\nnode 31 should be visited before node17\nnode 31 should be visited before node4\nnode 31 should be visited before node3\nnode 31 should be visited before node21\nnode 31 should be visited before node8\nnode 31 should be visited before node15\nnode 31 should be visited before node2\nnode 31 should be visited before node20\nnode 32 should be visited before node19\nnode 32 should be visited before node31\nnode 32 should be visited before node0\nnode 32 should be visited before node30\nnode 32 should be visited before node11\nnode 32 should be visited before node3\nnode 32 should be visited before node21\nnode 32 should be visited before node9\nnode 32 should be visited before node5\nnode 32 should be visited before node8\nnode 32 should be visited before node15\nnode 32 should be visited before node16\nnode 32 should be visited before node6\nnode 32 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,23,27,14,13,25,10,22,18,32,19,31,30,0,26,29,17,4,5,11,7,3,21,9,12,15,16,8,6,24,28,2,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph1139",
        "image": "data/topology/graph_visual/hard/graph1139.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node8\nnode 0 should be visited before node28\nnode 0 should be visited before node19\nnode 1 should be visited before node8\nnode 1 should be visited before node28\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node29\nnode 3 should be visited before node20\nnode 3 should be visited before node17\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 3 should be visited before node31\nnode 3 should be visited before node4\nnode 3 should be visited before node28\nnode 5 should be visited before node0\nnode 5 should be visited before node15\nnode 5 should be visited before node1\nnode 5 should be visited before node28\nnode 6 should be visited before node29\nnode 6 should be visited before node8\nnode 6 should be visited before node33\nnode 7 should be visited before node21\nnode 7 should be visited before node31\nnode 7 should be visited before node34\nnode 7 should be visited before node26\nnode 7 should be visited before node5\nnode 7 should be visited before node18\nnode 7 should be visited before node22\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node4\nnode 9 should be visited before node13\nnode 9 should be visited before node26\nnode 9 should be visited before node11\nnode 9 should be visited before node18\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 10 should be visited before node22\nnode 10 should be visited before node27\nnode 10 should be visited before node4\nnode 10 should be visited before node28\nnode 10 should be visited before node19\nnode 11 should be visited before node23\nnode 11 should be visited before node0\nnode 11 should be visited before node15\nnode 11 should be visited before node4\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node1\nnode 12 should be visited before node4\nnode 12 should be visited before node28\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node22\nnode 13 should be visited before node0\nnode 13 should be visited before node15\nnode 13 should be visited before node1\nnode 13 should be visited before node29\nnode 13 should be visited before node8\nnode 13 should be visited before node33\nnode 13 should be visited before node28\nnode 14 should be visited before node21\nnode 14 should be visited before node11\nnode 14 should be visited before node18\nnode 14 should be visited before node27\nnode 14 should be visited before node0\nnode 14 should be visited before node15\nnode 14 should be visited before node4\nnode 15 should be visited before node29\nnode 15 should be visited before node4\nnode 15 should be visited before node33\nnode 15 should be visited before node28\nnode 16 should be visited before node12\nnode 16 should be visited before node34\nnode 16 should be visited before node10\nnode 16 should be visited before node6\nnode 16 should be visited before node18\nnode 16 should be visited before node27\nnode 16 should be visited before node8\nnode 16 should be visited before node4\nnode 16 should be visited before node33\nnode 17 should be visited before node12\nnode 17 should be visited before node9\nnode 17 should be visited before node32\nnode 17 should be visited before node7\nnode 17 should be visited before node21\nnode 17 should be visited before node31\nnode 17 should be visited before node10\nnode 17 should be visited before node6\nnode 17 should be visited before node23\nnode 17 should be visited before node33\nnode 17 should be visited before node28\nnode 18 should be visited before node2\nnode 18 should be visited before node23\nnode 18 should be visited before node15\nnode 18 should be visited before node29\nnode 18 should be visited before node8\nnode 18 should be visited before node33\nnode 18 should be visited before node28\nnode 20 should be visited before node12\nnode 20 should be visited before node7\nnode 20 should be visited before node30\nnode 20 should be visited before node11\nnode 20 should be visited before node18\nnode 20 should be visited before node0\nnode 20 should be visited before node8\nnode 20 should be visited before node4\nnode 20 should be visited before node33\nnode 20 should be visited before node28\nnode 21 should be visited before node34\nnode 21 should be visited before node26\nnode 21 should be visited before node5\nnode 21 should be visited before node6\nnode 21 should be visited before node18\nnode 21 should be visited before node22\nnode 21 should be visited before node2\nnode 21 should be visited before node0\nnode 21 should be visited before node19\nnode 22 should be visited before node0\nnode 22 should be visited before node15\nnode 22 should be visited before node19\nnode 23 should be visited before node0\nnode 23 should be visited before node15\nnode 23 should be visited before node8\nnode 23 should be visited before node33\nnode 23 should be visited before node28\nnode 24 should be visited before node20\nnode 24 should be visited before node25\nnode 24 should be visited before node7\nnode 24 should be visited before node30\nnode 24 should be visited before node34\nnode 24 should be visited before node26\nnode 24 should be visited before node5\nnode 24 should be visited before node11\nnode 24 should be visited before node6\nnode 24 should be visited before node27\nnode 24 should be visited before node23\nnode 24 should be visited before node15\nnode 24 should be visited before node29\nnode 24 should be visited before node8\nnode 24 should be visited before node4\nnode 24 should be visited before node28\nnode 25 should be visited before node30\nnode 25 should be visited before node13\nnode 25 should be visited before node31\nnode 25 should be visited before node34\nnode 25 should be visited before node5\nnode 25 should be visited before node28\nnode 25 should be visited before node19\nnode 26 should be visited before node11\nnode 26 should be visited before node6\nnode 26 should be visited before node2\nnode 26 should be visited before node15\nnode 26 should be visited before node1\nnode 26 should be visited before node29\nnode 26 should be visited before node33\nnode 26 should be visited before node19\nnode 27 should be visited before node2\nnode 27 should be visited before node0\nnode 27 should be visited before node1\nnode 27 should be visited before node4\nnode 27 should be visited before node28\nnode 30 should be visited before node13\nnode 30 should be visited before node5\nnode 30 should be visited before node10\nnode 30 should be visited before node18\nnode 30 should be visited before node22\nnode 30 should be visited before node23\nnode 30 should be visited before node4\nnode 30 should be visited before node28\nnode 31 should be visited before node34\nnode 31 should be visited before node5\nnode 31 should be visited before node18\nnode 31 should be visited before node22\nnode 31 should be visited before node2\nnode 31 should be visited before node15\nnode 32 should be visited before node13\nnode 32 should be visited before node31\nnode 32 should be visited before node27\nnode 32 should be visited before node2\nnode 32 should be visited before node0\nnode 32 should be visited before node4\nnode 32 should be visited before node33\nnode 33 should be visited before node19\nnode 34 should be visited before node8\nnode 34 should be visited before node28\nnode 34 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,16,24,17,14,20,25,32,12,30,9,7,10,13,21,31,27,26,34,5,18,22,11,6,2,23,1,0,15,8,29,4,33,28,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph416",
        "image": "data/topology/graph_visual/hard/graph416.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node26\nnode 0 should be visited before node19\nnode 0 should be visited before node17\nnode 0 should be visited before node18\nnode 0 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node19\nnode 1 should be visited before node12\nnode 1 should be visited before node17\nnode 3 should be visited before node6\nnode 3 should be visited before node10\nnode 3 should be visited before node8\nnode 3 should be visited before node15\nnode 3 should be visited before node20\nnode 3 should be visited before node0\nnode 3 should be visited before node25\nnode 3 should be visited before node7\nnode 3 should be visited before node17\nnode 4 should be visited before node21\nnode 4 should be visited before node28\nnode 4 should be visited before node24\nnode 4 should be visited before node14\nnode 4 should be visited before node26\nnode 4 should be visited before node9\nnode 4 should be visited before node25\nnode 4 should be visited before node7\nnode 4 should be visited before node19\nnode 4 should be visited before node12\nnode 4 should be visited before node18\nnode 4 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node21\nnode 5 should be visited before node8\nnode 5 should be visited before node16\nnode 5 should be visited before node25\nnode 6 should be visited before node21\nnode 6 should be visited before node28\nnode 6 should be visited before node11\nnode 6 should be visited before node20\nnode 6 should be visited before node26\nnode 6 should be visited before node25\nnode 6 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node17\nnode 7 should be visited before node19\nnode 7 should be visited before node12\nnode 7 should be visited before node17\nnode 8 should be visited before node24\nnode 8 should be visited before node15\nnode 8 should be visited before node25\nnode 8 should be visited before node22\nnode 8 should be visited before node18\nnode 9 should be visited before node22\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 10 should be visited before node28\nnode 10 should be visited before node8\nnode 10 should be visited before node14\nnode 10 should be visited before node15\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node18\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 13 should be visited before node16\nnode 13 should be visited before node0\nnode 13 should be visited before node26\nnode 13 should be visited before node22\nnode 13 should be visited before node7\nnode 13 should be visited before node17\nnode 13 should be visited before node2\nnode 14 should be visited before node16\nnode 14 should be visited before node12\nnode 15 should be visited before node13\nnode 15 should be visited before node20\nnode 15 should be visited before node26\nnode 15 should be visited before node1\nnode 15 should be visited before node7\nnode 15 should be visited before node18\nnode 16 should be visited before node26\nnode 16 should be visited before node22\nnode 16 should be visited before node1\nnode 16 should be visited before node7\nnode 16 should be visited before node19\nnode 16 should be visited before node12\nnode 16 should be visited before node17\nnode 20 should be visited before node25\nnode 21 should be visited before node11\nnode 21 should be visited before node16\nnode 21 should be visited before node25\nnode 21 should be visited before node1\nnode 21 should be visited before node17\nnode 22 should be visited before node7\nnode 22 should be visited before node17\nnode 23 should be visited before node5\nnode 23 should be visited before node21\nnode 23 should be visited before node10\nnode 23 should be visited before node28\nnode 23 should be visited before node11\nnode 23 should be visited before node24\nnode 23 should be visited before node16\nnode 23 should be visited before node12\nnode 23 should be visited before node17\nnode 24 should be visited before node13\nnode 24 should be visited before node26\nnode 24 should be visited before node25\nnode 24 should be visited before node7\nnode 24 should be visited before node2\nnode 25 should be visited before node1\nnode 25 should be visited before node17\nnode 26 should be visited before node25\nnode 26 should be visited before node22\nnode 26 should be visited before node12\nnode 26 should be visited before node17\nnode 27 should be visited before node4\nnode 27 should be visited before node6\nnode 27 should be visited before node21\nnode 27 should be visited before node28\nnode 27 should be visited before node11\nnode 27 should be visited before node16\nnode 27 should be visited before node17\nnode 28 should be visited before node15\nnode 28 should be visited before node16\nnode 28 should be visited before node12\nnode 28 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "23,27,5,3,4,6,10,21,28,8,14,9,11,24,15,13,20,16,0,26,18,2,25,22,1,7,19,12,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph1164",
        "image": "data/topology/graph_visual/hard/graph1164.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node7\nnode 0 should be visited before node27\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 0 should be visited before node22\nnode 0 should be visited before node10\nnode 0 should be visited before node23\nnode 0 should be visited before node6\nnode 1 should be visited before node21\nnode 1 should be visited before node19\nnode 1 should be visited before node15\nnode 1 should be visited before node24\nnode 1 should be visited before node25\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node2\nnode 1 should be visited before node28\nnode 1 should be visited before node8\nnode 1 should be visited before node20\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node27\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node21\nnode 3 should be visited before node30\nnode 3 should be visited before node19\nnode 3 should be visited before node22\nnode 3 should be visited before node25\nnode 3 should be visited before node33\nnode 3 should be visited before node23\nnode 3 should be visited before node26\nnode 3 should be visited before node2\nnode 4 should be visited before node17\nnode 4 should be visited before node16\nnode 4 should be visited before node29\nnode 4 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node30\nnode 4 should be visited before node22\nnode 4 should be visited before node24\nnode 4 should be visited before node33\nnode 4 should be visited before node12\nnode 4 should be visited before node23\nnode 4 should be visited before node26\nnode 4 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node21\nnode 5 should be visited before node19\nnode 5 should be visited before node15\nnode 5 should be visited before node22\nnode 5 should be visited before node24\nnode 5 should be visited before node25\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node23\nnode 5 should be visited before node28\nnode 5 should be visited before node8\nnode 5 should be visited before node20\nnode 6 should be visited before node8\nnode 7 should be visited before node21\nnode 7 should be visited before node15\nnode 7 should be visited before node22\nnode 7 should be visited before node25\nnode 7 should be visited before node33\nnode 7 should be visited before node23\nnode 7 should be visited before node26\nnode 7 should be visited before node28\nnode 7 should be visited before node8\nnode 7 should be visited before node20\nnode 9 should be visited before node16\nnode 9 should be visited before node0\nnode 9 should be visited before node14\nnode 9 should be visited before node27\nnode 9 should be visited before node21\nnode 9 should be visited before node15\nnode 9 should be visited before node10\nnode 9 should be visited before node33\nnode 9 should be visited before node23\nnode 9 should be visited before node26\nnode 9 should be visited before node2\nnode 9 should be visited before node28\nnode 9 should be visited before node6\nnode 9 should be visited before node20\nnode 10 should be visited before node23\nnode 10 should be visited before node2\nnode 10 should be visited before node28\nnode 10 should be visited before node6\nnode 11 should be visited before node30\nnode 11 should be visited before node15\nnode 11 should be visited before node22\nnode 11 should be visited before node23\nnode 11 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node20\nnode 12 should be visited before node23\nnode 12 should be visited before node26\nnode 12 should be visited before node2\nnode 12 should be visited before node28\nnode 12 should be visited before node6\nnode 13 should be visited before node9\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node29\nnode 13 should be visited before node14\nnode 13 should be visited before node31\nnode 13 should be visited before node5\nnode 13 should be visited before node11\nnode 13 should be visited before node21\nnode 13 should be visited before node19\nnode 13 should be visited before node15\nnode 13 should be visited before node22\nnode 13 should be visited before node24\nnode 13 should be visited before node10\nnode 13 should be visited before node33\nnode 13 should be visited before node12\nnode 13 should be visited before node28\nnode 13 should be visited before node8\nnode 14 should be visited before node7\nnode 14 should be visited before node27\nnode 14 should be visited before node1\nnode 14 should be visited before node19\nnode 14 should be visited before node22\nnode 14 should be visited before node25\nnode 14 should be visited before node10\nnode 14 should be visited before node12\nnode 14 should be visited before node2\nnode 14 should be visited before node28\nnode 14 should be visited before node20\nnode 15 should be visited before node22\nnode 15 should be visited before node25\nnode 15 should be visited before node10\nnode 15 should be visited before node8\nnode 16 should be visited before node3\nnode 16 should be visited before node29\nnode 16 should be visited before node14\nnode 16 should be visited before node27\nnode 16 should be visited before node1\nnode 16 should be visited before node21\nnode 16 should be visited before node15\nnode 16 should be visited before node23\nnode 16 should be visited before node26\nnode 16 should be visited before node2\nnode 16 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node3\nnode 17 should be visited before node29\nnode 17 should be visited before node7\nnode 17 should be visited before node5\nnode 17 should be visited before node21\nnode 17 should be visited before node19\nnode 17 should be visited before node15\nnode 17 should be visited before node24\nnode 17 should be visited before node2\nnode 18 should be visited before node9\nnode 18 should be visited before node4\nnode 18 should be visited before node29\nnode 18 should be visited before node14\nnode 18 should be visited before node31\nnode 18 should be visited before node7\nnode 18 should be visited before node27\nnode 18 should be visited before node30\nnode 18 should be visited before node24\nnode 18 should be visited before node10\nnode 18 should be visited before node12\nnode 18 should be visited before node2\nnode 18 should be visited before node28\nnode 18 should be visited before node8\nnode 18 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node22\nnode 19 should be visited before node24\nnode 19 should be visited before node25\nnode 19 should be visited before node10\nnode 19 should be visited before node12\nnode 19 should be visited before node8\nnode 19 should be visited before node20\nnode 21 should be visited before node22\nnode 21 should be visited before node24\nnode 21 should be visited before node10\nnode 21 should be visited before node12\nnode 21 should be visited before node23\nnode 21 should be visited before node26\nnode 21 should be visited before node8\nnode 21 should be visited before node20\nnode 22 should be visited before node24\nnode 22 should be visited before node25\nnode 22 should be visited before node33\nnode 22 should be visited before node6\nnode 22 should be visited before node8\nnode 22 should be visited before node20\nnode 23 should be visited before node26\nnode 23 should be visited before node2\nnode 23 should be visited before node28\nnode 24 should be visited before node25\nnode 24 should be visited before node10\nnode 24 should be visited before node23\nnode 24 should be visited before node2\nnode 24 should be visited before node28\nnode 24 should be visited before node6\nnode 24 should be visited before node8\nnode 25 should be visited before node10\nnode 25 should be visited before node28\nnode 25 should be visited before node6\nnode 25 should be visited before node8\nnode 25 should be visited before node20\nnode 26 should be visited before node2\nnode 26 should be visited before node20\nnode 27 should be visited before node5\nnode 27 should be visited before node21\nnode 27 should be visited before node30\nnode 27 should be visited before node19\nnode 27 should be visited before node24\nnode 27 should be visited before node25\nnode 27 should be visited before node10\nnode 27 should be visited before node6\nnode 27 should be visited before node8\nnode 27 should be visited before node20\nnode 28 should be visited before node6\nnode 28 should be visited before node20\nnode 29 should be visited before node31\nnode 29 should be visited before node7\nnode 29 should be visited before node27\nnode 29 should be visited before node21\nnode 29 should be visited before node30\nnode 29 should be visited before node19\nnode 29 should be visited before node15\nnode 29 should be visited before node22\nnode 29 should be visited before node25\nnode 29 should be visited before node33\nnode 29 should be visited before node26\nnode 29 should be visited before node28\nnode 29 should be visited before node6\nnode 29 should be visited before node8\nnode 29 should be visited before node20\nnode 30 should be visited before node19\nnode 30 should be visited before node15\nnode 30 should be visited before node24\nnode 30 should be visited before node25\nnode 30 should be visited before node10\nnode 30 should be visited before node33\nnode 30 should be visited before node23\nnode 30 should be visited before node28\nnode 30 should be visited before node8\nnode 30 should be visited before node20\nnode 31 should be visited before node7\nnode 31 should be visited before node5\nnode 31 should be visited before node21\nnode 31 should be visited before node30\nnode 31 should be visited before node15\nnode 31 should be visited before node10\nnode 31 should be visited before node26\nnode 31 should be visited before node28\nnode 31 should be visited before node8\nnode 31 should be visited before node20\nnode 32 should be visited before node16\nnode 32 should be visited before node3\nnode 32 should be visited before node0\nnode 32 should be visited before node29\nnode 32 should be visited before node31\nnode 32 should be visited before node5\nnode 32 should be visited before node24\nnode 32 should be visited before node33\nnode 32 should be visited before node26\nnode 32 should be visited before node2\nnode 32 should be visited before node28\nnode 33 should be visited before node12\nnode 33 should be visited before node23\nnode 33 should be visited before node26\nnode 33 should be visited before node2\nnode 33 should be visited before node28\nnode 33 should be visited before node6\nnode 34 should be visited before node32\nnode 34 should be visited before node16\nnode 34 should be visited before node3\nnode 34 should be visited before node29\nnode 34 should be visited before node31\nnode 34 should be visited before node7\nnode 34 should be visited before node27\nnode 34 should be visited before node5\nnode 34 should be visited before node1\nnode 34 should be visited before node30\nnode 34 should be visited before node19\nnode 34 should be visited before node22\nnode 34 should be visited before node24\nnode 34 should be visited before node10\nnode 34 should be visited before node33\nnode 34 should be visited before node23\nnode 34 should be visited before node8\nnode 34 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,18,34,9,4,32,17,16,3,29,14,0,31,27,11,7,5,30,1,21,19,15,22,24,33,25,12,10,23,26,28,2,20,6,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph995",
        "image": "data/topology/graph_visual/hard/graph995.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node27\nnode 0 should be visited before node5\nnode 0 should be visited before node23\nnode 0 should be visited before node2\nnode 0 should be visited before node33\nnode 0 should be visited before node10\nnode 0 should be visited before node31\nnode 0 should be visited before node21\nnode 1 should be visited before node8\nnode 1 should be visited before node22\nnode 1 should be visited before node23\nnode 1 should be visited before node26\nnode 1 should be visited before node31\nnode 1 should be visited before node3\nnode 1 should be visited before node14\nnode 2 should be visited before node11\nnode 2 should be visited before node31\nnode 2 should be visited before node32\nnode 2 should be visited before node21\nnode 3 should be visited before node32\nnode 3 should be visited before node19\nnode 3 should be visited before node29\nnode 4 should be visited before node10\nnode 4 should be visited before node3\nnode 4 should be visited before node21\nnode 4 should be visited before node19\nnode 4 should be visited before node9\nnode 5 should be visited before node33\nnode 5 should be visited before node19\nnode 5 should be visited before node29\nnode 6 should be visited before node17\nnode 6 should be visited before node14\nnode 7 should be visited before node13\nnode 7 should be visited before node30\nnode 7 should be visited before node2\nnode 7 should be visited before node33\nnode 7 should be visited before node6\nnode 7 should be visited before node17\nnode 7 should be visited before node14\nnode 8 should be visited before node33\nnode 8 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node29\nnode 10 should be visited before node21\nnode 10 should be visited before node14\nnode 10 should be visited before node19\nnode 10 should be visited before node29\nnode 11 should be visited before node4\nnode 11 should be visited before node26\nnode 11 should be visited before node3\nnode 11 should be visited before node32\nnode 11 should be visited before node21\nnode 11 should be visited before node19\nnode 11 should be visited before node29\nnode 12 should be visited before node15\nnode 12 should be visited before node1\nnode 12 should be visited before node30\nnode 12 should be visited before node28\nnode 12 should be visited before node11\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 12 should be visited before node31\nnode 12 should be visited before node3\nnode 13 should be visited before node27\nnode 13 should be visited before node5\nnode 13 should be visited before node23\nnode 13 should be visited before node20\nnode 13 should be visited before node33\nnode 13 should be visited before node17\nnode 13 should be visited before node26\nnode 13 should be visited before node31\nnode 13 should be visited before node19\nnode 13 should be visited before node29\nnode 14 should be visited before node19\nnode 14 should be visited before node9\nnode 15 should be visited before node0\nnode 15 should be visited before node27\nnode 15 should be visited before node30\nnode 15 should be visited before node28\nnode 15 should be visited before node20\nnode 15 should be visited before node10\nnode 15 should be visited before node26\nnode 15 should be visited before node31\nnode 15 should be visited before node32\nnode 15 should be visited before node21\nnode 15 should be visited before node14\nnode 16 should be visited before node18\nnode 16 should be visited before node22\nnode 16 should be visited before node20\nnode 16 should be visited before node4\nnode 16 should be visited before node10\nnode 16 should be visited before node17\nnode 16 should be visited before node26\nnode 16 should be visited before node32\nnode 16 should be visited before node19\nnode 16 should be visited before node29\nnode 16 should be visited before node9\nnode 17 should be visited before node26\nnode 17 should be visited before node31\nnode 17 should be visited before node3\nnode 17 should be visited before node14\nnode 18 should be visited before node27\nnode 18 should be visited before node23\nnode 18 should be visited before node20\nnode 18 should be visited before node4\nnode 18 should be visited before node26\nnode 18 should be visited before node32\nnode 18 should be visited before node21\nnode 18 should be visited before node14\nnode 18 should be visited before node19\nnode 19 should be visited before node29\nnode 19 should be visited before node9\nnode 20 should be visited before node11\nnode 20 should be visited before node4\nnode 22 should be visited before node20\nnode 22 should be visited before node32\nnode 22 should be visited before node14\nnode 23 should be visited before node20\nnode 23 should be visited before node2\nnode 23 should be visited before node10\nnode 23 should be visited before node6\nnode 23 should be visited before node3\nnode 24 should be visited before node25\nnode 24 should be visited before node15\nnode 24 should be visited before node18\nnode 24 should be visited before node1\nnode 24 should be visited before node13\nnode 24 should be visited before node30\nnode 24 should be visited before node23\nnode 24 should be visited before node2\nnode 24 should be visited before node10\nnode 24 should be visited before node3\nnode 24 should be visited before node32\nnode 24 should be visited before node21\nnode 24 should be visited before node9\nnode 25 should be visited before node15\nnode 25 should be visited before node8\nnode 25 should be visited before node13\nnode 25 should be visited before node22\nnode 25 should be visited before node23\nnode 25 should be visited before node2\nnode 25 should be visited before node10\nnode 25 should be visited before node31\nnode 25 should be visited before node29\nnode 25 should be visited before node9\nnode 27 should be visited before node28\nnode 27 should be visited before node33\nnode 27 should be visited before node29\nnode 27 should be visited before node9\nnode 28 should be visited before node5\nnode 28 should be visited before node33\nnode 28 should be visited before node10\nnode 28 should be visited before node26\nnode 30 should be visited before node28\nnode 30 should be visited before node2\nnode 30 should be visited before node10\nnode 30 should be visited before node32\nnode 30 should be visited before node21\nnode 30 should be visited before node14\nnode 30 should be visited before node29\nnode 32 should be visited before node29\nnode 33 should be visited before node11\nnode 33 should be visited before node10\nnode 33 should be visited before node17\nnode 33 should be visited before node3\nnode 33 should be visited before node21\nnode 33 should be visited before node29\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,12,16,24,25,18,1,15,13,8,22,0,30,27,23,28,20,2,6,5,33,11,17,4,26,31,10,3,21,14,32,19,29,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph708",
        "image": "data/topology/graph_visual/hard/graph708.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node14\nnode 0 should be visited before node21\nnode 0 should be visited before node15\nnode 0 should be visited before node3\nnode 0 should be visited before node27\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node22\nnode 1 should be visited before node24\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node3\nnode 1 should be visited before node27\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node29\nnode 1 should be visited before node22\nnode 2 should be visited before node11\nnode 2 should be visited before node29\nnode 2 should be visited before node22\nnode 2 should be visited before node13\nnode 3 should be visited before node25\nnode 3 should be visited before node27\nnode 3 should be visited before node11\nnode 3 should be visited before node29\nnode 3 should be visited before node13\nnode 4 should be visited before node16\nnode 4 should be visited before node1\nnode 4 should be visited before node9\nnode 4 should be visited before node21\nnode 4 should be visited before node19\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 5 should be visited before node30\nnode 5 should be visited before node4\nnode 5 should be visited before node16\nnode 5 should be visited before node8\nnode 5 should be visited before node25\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node7\nnode 5 should be visited before node11\nnode 5 should be visited before node29\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node29\nnode 6 should be visited before node22\nnode 6 should be visited before node13\nnode 7 should be visited before node29\nnode 7 should be visited before node13\nnode 8 should be visited before node18\nnode 8 should be visited before node14\nnode 8 should be visited before node21\nnode 8 should be visited before node15\nnode 8 should be visited before node25\nnode 8 should be visited before node27\nnode 8 should be visited before node19\nnode 8 should be visited before node29\nnode 9 should be visited before node14\nnode 9 should be visited before node15\nnode 9 should be visited before node3\nnode 9 should be visited before node25\nnode 9 should be visited before node2\nnode 9 should be visited before node29\nnode 9 should be visited before node22\nnode 9 should be visited before node13\nnode 10 should be visited before node5\nnode 10 should be visited before node30\nnode 10 should be visited before node16\nnode 10 should be visited before node24\nnode 10 should be visited before node9\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node11\nnode 10 should be visited before node29\nnode 10 should be visited before node22\nnode 10 should be visited before node13\nnode 11 should be visited before node29\nnode 11 should be visited before node13\nnode 12 should be visited before node23\nnode 12 should be visited before node20\nnode 12 should be visited before node26\nnode 12 should be visited before node4\nnode 12 should be visited before node24\nnode 12 should be visited before node9\nnode 12 should be visited before node18\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node27\nnode 12 should be visited before node11\nnode 12 should be visited before node29\nnode 14 should be visited before node3\nnode 14 should be visited before node25\nnode 14 should be visited before node6\nnode 14 should be visited before node19\nnode 14 should be visited before node11\nnode 14 should be visited before node29\nnode 15 should be visited before node3\nnode 15 should be visited before node25\nnode 15 should be visited before node27\nnode 15 should be visited before node2\nnode 15 should be visited before node11\nnode 15 should be visited before node29\nnode 16 should be visited before node8\nnode 16 should be visited before node1\nnode 16 should be visited before node24\nnode 16 should be visited before node0\nnode 16 should be visited before node18\nnode 16 should be visited before node14\nnode 16 should be visited before node15\nnode 16 should be visited before node6\nnode 16 should be visited before node2\nnode 16 should be visited before node7\nnode 16 should be visited before node11\nnode 16 should be visited before node29\nnode 16 should be visited before node13\nnode 17 should be visited before node26\nnode 17 should be visited before node30\nnode 17 should be visited before node8\nnode 17 should be visited before node0\nnode 17 should be visited before node9\nnode 17 should be visited before node3\nnode 17 should be visited before node27\nnode 17 should be visited before node6\nnode 17 should be visited before node19\nnode 17 should be visited before node2\nnode 17 should be visited before node7\nnode 17 should be visited before node29\nnode 17 should be visited before node22\nnode 17 should be visited before node13\nnode 18 should be visited before node14\nnode 18 should be visited before node21\nnode 18 should be visited before node3\nnode 18 should be visited before node27\nnode 18 should be visited before node6\nnode 18 should be visited before node19\nnode 18 should be visited before node2\nnode 18 should be visited before node7\nnode 18 should be visited before node22\nnode 18 should be visited before node13\nnode 19 should be visited before node2\nnode 20 should be visited before node30\nnode 20 should be visited before node4\nnode 20 should be visited before node1\nnode 20 should be visited before node24\nnode 20 should be visited before node0\nnode 20 should be visited before node9\nnode 20 should be visited before node21\nnode 20 should be visited before node15\nnode 20 should be visited before node25\nnode 20 should be visited before node27\nnode 20 should be visited before node6\nnode 20 should be visited before node11\nnode 20 should be visited before node13\nnode 21 should be visited before node25\nnode 21 should be visited before node27\nnode 21 should be visited before node2\nnode 21 should be visited before node7\nnode 23 should be visited before node20\nnode 23 should be visited before node5\nnode 23 should be visited before node26\nnode 23 should be visited before node16\nnode 23 should be visited before node8\nnode 23 should be visited before node1\nnode 23 should be visited before node24\nnode 23 should be visited before node0\nnode 23 should be visited before node9\nnode 23 should be visited before node18\nnode 23 should be visited before node21\nnode 23 should be visited before node15\nnode 23 should be visited before node25\nnode 23 should be visited before node27\nnode 23 should be visited before node6\nnode 23 should be visited before node2\nnode 23 should be visited before node29\nnode 23 should be visited before node22\nnode 23 should be visited before node13\nnode 24 should be visited before node18\nnode 24 should be visited before node3\nnode 24 should be visited before node19\nnode 24 should be visited before node2\nnode 24 should be visited before node7\nnode 24 should be visited before node13\nnode 25 should be visited before node2\nnode 25 should be visited before node11\nnode 25 should be visited before node29\nnode 25 should be visited before node22\nnode 25 should be visited before node13\nnode 26 should be visited before node4\nnode 26 should be visited before node16\nnode 26 should be visited before node8\nnode 26 should be visited before node1\nnode 26 should be visited before node0\nnode 26 should be visited before node9\nnode 26 should be visited before node14\nnode 26 should be visited before node21\nnode 26 should be visited before node25\nnode 26 should be visited before node27\nnode 26 should be visited before node6\nnode 26 should be visited before node19\nnode 26 should be visited before node11\nnode 27 should be visited before node6\nnode 27 should be visited before node7\nnode 27 should be visited before node11\nnode 27 should be visited before node29\nnode 27 should be visited before node22\nnode 27 should be visited before node13\nnode 28 should be visited before node4\nnode 28 should be visited before node8\nnode 28 should be visited before node1\nnode 28 should be visited before node24\nnode 28 should be visited before node9\nnode 28 should be visited before node19\nnode 28 should be visited before node2\nnode 28 should be visited before node7\nnode 28 should be visited before node29\nnode 29 should be visited before node13\nnode 30 should be visited before node1\nnode 30 should be visited before node24\nnode 30 should be visited before node9\nnode 30 should be visited before node15\nnode 30 should be visited before node25\nnode 30 should be visited before node27\nnode 30 should be visited before node19\nnode 30 should be visited before node7\nnode 30 should be visited before node11\nnode 30 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,12,17,28,23,20,5,26,30,4,16,9,8,1,24,0,18,15,14,21,3,19,25,27,6,2,7,11,22,29,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph530",
        "image": "data/topology/graph_visual/hard/graph530.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node7\nnode 0 should be visited before node13\nnode 0 should be visited before node22\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 0 should be visited before node23\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 1 should be visited before node18\nnode 1 should be visited before node10\nnode 2 should be visited before node17\nnode 2 should be visited before node16\nnode 2 should be visited before node1\nnode 3 should be visited before node27\nnode 3 should be visited before node22\nnode 3 should be visited before node24\nnode 3 should be visited before node9\nnode 3 should be visited before node18\nnode 4 should be visited before node2\nnode 4 should be visited before node22\nnode 4 should be visited before node16\nnode 4 should be visited before node23\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node18\nnode 5 should be visited before node24\nnode 5 should be visited before node14\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 6 should be visited before node16\nnode 6 should be visited before node14\nnode 6 should be visited before node15\nnode 6 should be visited before node18\nnode 6 should be visited before node10\nnode 7 should be visited before node8\nnode 7 should be visited before node21\nnode 7 should be visited before node19\nnode 7 should be visited before node22\nnode 7 should be visited before node11\nnode 7 should be visited before node16\nnode 7 should be visited before node14\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 8 should be visited before node4\nnode 8 should be visited before node27\nnode 8 should be visited before node22\nnode 8 should be visited before node6\nnode 8 should be visited before node28\nnode 8 should be visited before node11\nnode 8 should be visited before node23\nnode 8 should be visited before node1\nnode 8 should be visited before node18\nnode 9 should be visited before node10\nnode 11 should be visited before node23\nnode 11 should be visited before node14\nnode 11 should be visited before node15\nnode 11 should be visited before node1\nnode 12 should be visited before node13\nnode 12 should be visited before node4\nnode 12 should be visited before node27\nnode 12 should be visited before node19\nnode 12 should be visited before node22\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node16\nnode 12 should be visited before node14\nnode 12 should be visited before node15\nnode 13 should be visited before node29\nnode 13 should be visited before node4\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 13 should be visited before node17\nnode 13 should be visited before node9\nnode 13 should be visited before node15\nnode 13 should be visited before node1\nnode 13 should be visited before node18\nnode 13 should be visited before node10\nnode 14 should be visited before node9\nnode 14 should be visited before node1\nnode 15 should be visited before node26\nnode 16 should be visited before node23\nnode 16 should be visited before node9\nnode 16 should be visited before node15\nnode 17 should be visited before node26\nnode 17 should be visited before node18\nnode 18 should be visited before node10\nnode 19 should be visited before node6\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node15\nnode 19 should be visited before node1\nnode 19 should be visited before node26\nnode 19 should be visited before node10\nnode 20 should be visited before node7\nnode 20 should be visited before node13\nnode 20 should be visited before node19\nnode 20 should be visited before node22\nnode 20 should be visited before node28\nnode 20 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node18\nnode 21 should be visited before node19\nnode 21 should be visited before node16\nnode 21 should be visited before node14\nnode 21 should be visited before node9\nnode 21 should be visited before node26\nnode 22 should be visited before node17\nnode 22 should be visited before node11\nnode 22 should be visited before node23\nnode 22 should be visited before node26\nnode 23 should be visited before node1\nnode 24 should be visited before node9\nnode 24 should be visited before node15\nnode 25 should be visited before node8\nnode 25 should be visited before node13\nnode 25 should be visited before node3\nnode 25 should be visited before node21\nnode 25 should be visited before node28\nnode 25 should be visited before node11\nnode 25 should be visited before node15\nnode 25 should be visited before node1\nnode 25 should be visited before node10\nnode 26 should be visited before node18\nnode 26 should be visited before node10\nnode 27 should be visited before node19\nnode 27 should be visited before node6\nnode 27 should be visited before node5\nnode 27 should be visited before node24\nnode 27 should be visited before node16\nnode 27 should be visited before node1\nnode 27 should be visited before node18\nnode 27 should be visited before node10\nnode 28 should be visited before node24\nnode 28 should be visited before node15\nnode 28 should be visited before node10\nnode 29 should be visited before node21\nnode 29 should be visited before node5\nnode 29 should be visited before node15\nnode 29 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,12,20,25,7,13,3,8,29,4,27,28,21,2,22,19,17,11,6,5,16,24,14,23,15,9,1,26,18,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph727",
        "image": "data/topology/graph_visual/hard/graph727.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node29\nnode 0 should be visited before node10\nnode 0 should be visited before node9\nnode 0 should be visited before node15\nnode 0 should be visited before node27\nnode 1 should be visited before node2\nnode 1 should be visited before node23\nnode 1 should be visited before node20\nnode 1 should be visited before node27\nnode 1 should be visited before node26\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node25\nnode 3 should be visited before node15\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node28\nnode 3 should be visited before node12\nnode 3 should be visited before node18\nnode 3 should be visited before node24\nnode 3 should be visited before node27\nnode 4 should be visited before node31\nnode 4 should be visited before node18\nnode 4 should be visited before node24\nnode 4 should be visited before node25\nnode 5 should be visited before node18\nnode 6 should be visited before node27\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node23\nnode 7 should be visited before node17\nnode 7 should be visited before node28\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node25\nnode 8 should be visited before node16\nnode 8 should be visited before node7\nnode 8 should be visited before node14\nnode 8 should be visited before node15\nnode 8 should be visited before node23\nnode 8 should be visited before node17\nnode 8 should be visited before node5\nnode 8 should be visited before node28\nnode 8 should be visited before node31\nnode 8 should be visited before node18\nnode 8 should be visited before node24\nnode 8 should be visited before node27\nnode 8 should be visited before node26\nnode 9 should be visited before node2\nnode 9 should be visited before node5\nnode 9 should be visited before node31\nnode 9 should be visited before node25\nnode 10 should be visited before node9\nnode 10 should be visited before node15\nnode 10 should be visited before node23\nnode 10 should be visited before node17\nnode 10 should be visited before node12\nnode 10 should be visited before node20\nnode 10 should be visited before node6\nnode 11 should be visited before node31\nnode 11 should be visited before node20\nnode 11 should be visited before node18\nnode 12 should be visited before node18\nnode 12 should be visited before node24\nnode 12 should be visited before node19\nnode 12 should be visited before node27\nnode 12 should be visited before node25\nnode 13 should be visited before node10\nnode 13 should be visited before node15\nnode 13 should be visited before node11\nnode 13 should be visited before node18\nnode 14 should be visited before node15\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node19\nnode 15 should be visited before node2\nnode 15 should be visited before node5\nnode 15 should be visited before node12\nnode 15 should be visited before node31\nnode 15 should be visited before node18\nnode 15 should be visited before node6\nnode 15 should be visited before node27\nnode 15 should be visited before node26\nnode 16 should be visited before node0\nnode 16 should be visited before node14\nnode 16 should be visited before node17\nnode 16 should be visited before node11\nnode 16 should be visited before node19\nnode 16 should be visited before node26\nnode 17 should be visited before node11\nnode 17 should be visited before node4\nnode 17 should be visited before node18\nnode 17 should be visited before node25\nnode 18 should be visited before node26\nnode 18 should be visited before node25\nnode 19 should be visited before node26\nnode 19 should be visited before node25\nnode 20 should be visited before node24\nnode 20 should be visited before node27\nnode 20 should be visited before node26\nnode 20 should be visited before node25\nnode 21 should be visited before node3\nnode 21 should be visited before node10\nnode 21 should be visited before node2\nnode 21 should be visited before node23\nnode 21 should be visited before node17\nnode 21 should be visited before node28\nnode 21 should be visited before node18\nnode 22 should be visited before node0\nnode 22 should be visited before node3\nnode 22 should be visited before node30\nnode 22 should be visited before node10\nnode 22 should be visited before node2\nnode 22 should be visited before node31\nnode 22 should be visited before node19\nnode 22 should be visited before node27\nnode 22 should be visited before node26\nnode 22 should be visited before node25\nnode 23 should be visited before node6\nnode 23 should be visited before node27\nnode 24 should be visited before node19\nnode 24 should be visited before node6\nnode 24 should be visited before node26\nnode 27 should be visited before node26\nnode 28 should be visited before node12\nnode 28 should be visited before node20\nnode 28 should be visited before node24\nnode 28 should be visited before node6\nnode 28 should be visited before node26\nnode 28 should be visited before node25\nnode 29 should be visited before node15\nnode 29 should be visited before node17\nnode 29 should be visited before node12\nnode 29 should be visited before node18\nnode 29 should be visited before node25\nnode 30 should be visited before node10\nnode 30 should be visited before node1\nnode 30 should be visited before node5\nnode 30 should be visited before node31\nnode 30 should be visited before node24\nnode 31 should be visited before node18\nnode 31 should be visited before node26\nnode 31 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,13,21,22,16,7,30,14,0,3,1,29,10,28,9,15,23,17,2,12,11,5,4,20,31,24,18,19,6,25,27,26."
            }
        ]
    },
    {
        "id": "topology-hard-graph126",
        "image": "data/topology/graph_visual/hard/graph126.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node16\nnode 0 should be visited before node7\nnode 0 should be visited before node18\nnode 0 should be visited before node19\nnode 0 should be visited before node15\nnode 0 should be visited before node23\nnode 0 should be visited before node8\nnode 1 should be visited before node11\nnode 1 should be visited before node10\nnode 1 should be visited before node4\nnode 1 should be visited before node19\nnode 2 should be visited before node23\nnode 3 should be visited before node2\nnode 3 should be visited before node19\nnode 3 should be visited before node23\nnode 4 should be visited before node26\nnode 4 should be visited before node19\nnode 4 should be visited before node23\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node15\nnode 6 should be visited before node25\nnode 6 should be visited before node24\nnode 6 should be visited before node9\nnode 6 should be visited before node17\nnode 6 should be visited before node1\nnode 6 should be visited before node11\nnode 6 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node14\nnode 7 should be visited before node3\nnode 9 should be visited before node11\nnode 9 should be visited before node10\nnode 9 should be visited before node18\nnode 9 should be visited before node14\nnode 9 should be visited before node26\nnode 9 should be visited before node23\nnode 10 should be visited before node18\nnode 10 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node16\nnode 11 should be visited before node7\nnode 11 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node4\nnode 11 should be visited before node8\nnode 12 should be visited before node18\nnode 12 should be visited before node4\nnode 12 should be visited before node15\nnode 12 should be visited before node8\nnode 13 should be visited before node9\nnode 13 should be visited before node21\nnode 13 should be visited before node12\nnode 13 should be visited before node18\nnode 13 should be visited before node3\nnode 13 should be visited before node26\nnode 13 should be visited before node19\nnode 14 should be visited before node26\nnode 14 should be visited before node15\nnode 16 should be visited before node10\nnode 16 should be visited before node18\nnode 16 should be visited before node14\nnode 16 should be visited before node3\nnode 16 should be visited before node2\nnode 17 should be visited before node11\nnode 17 should be visited before node10\nnode 17 should be visited before node26\nnode 18 should be visited before node14\nnode 18 should be visited before node2\nnode 19 should be visited before node15\nnode 20 should be visited before node6\nnode 20 should be visited before node9\nnode 20 should be visited before node1\nnode 20 should be visited before node0\nnode 20 should be visited before node4\nnode 20 should be visited before node23\nnode 21 should be visited before node12\nnode 21 should be visited before node10\nnode 21 should be visited before node4\nnode 21 should be visited before node15\nnode 21 should be visited before node23\nnode 21 should be visited before node8\nnode 22 should be visited before node20\nnode 22 should be visited before node6\nnode 22 should be visited before node25\nnode 22 should be visited before node9\nnode 22 should be visited before node5\nnode 22 should be visited before node12\nnode 22 should be visited before node19\nnode 23 should be visited before node8\nnode 24 should be visited before node11\nnode 24 should be visited before node3\nnode 24 should be visited before node15\nnode 24 should be visited before node23\nnode 24 should be visited before node8\nnode 25 should be visited before node9\nnode 25 should be visited before node17\nnode 25 should be visited before node5\nnode 25 should be visited before node12\nnode 25 should be visited before node10\nnode 25 should be visited before node14\nnode 25 should be visited before node26\nnode 25 should be visited before node19\nnode 26 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,22,21,20,6,25,24,9,17,5,1,12,11,0,4,16,7,10,3,18,19,14,2,26,23,15,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph854",
        "image": "data/topology/graph_visual/hard/graph854.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 1 should be visited before node22\nnode 1 should be visited before node27\nnode 2 should be visited before node5\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 3 should be visited before node17\nnode 3 should be visited before node20\nnode 3 should be visited before node10\nnode 3 should be visited before node7\nnode 3 should be visited before node25\nnode 3 should be visited before node12\nnode 3 should be visited before node30\nnode 3 should be visited before node11\nnode 3 should be visited before node14\nnode 4 should be visited before node30\nnode 4 should be visited before node14\nnode 4 should be visited before node27\nnode 5 should be visited before node18\nnode 5 should be visited before node24\nnode 5 should be visited before node4\nnode 5 should be visited before node25\nnode 5 should be visited before node9\nnode 5 should be visited before node22\nnode 5 should be visited before node15\nnode 6 should be visited before node17\nnode 6 should be visited before node20\nnode 6 should be visited before node32\nnode 6 should be visited before node0\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 7 should be visited before node25\nnode 7 should be visited before node30\nnode 7 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node22\nnode 8 should be visited before node27\nnode 9 should be visited before node1\nnode 10 should be visited before node7\nnode 10 should be visited before node25\nnode 10 should be visited before node12\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 11 should be visited before node1\nnode 11 should be visited before node27\nnode 12 should be visited before node1\nnode 13 should be visited before node17\nnode 13 should be visited before node28\nnode 13 should be visited before node20\nnode 13 should be visited before node8\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 13 should be visited before node22\nnode 13 should be visited before node15\nnode 13 should be visited before node27\nnode 14 should be visited before node1\nnode 14 should be visited before node22\nnode 14 should be visited before node15\nnode 14 should be visited before node27\nnode 16 should be visited before node10\nnode 16 should be visited before node4\nnode 16 should be visited before node30\nnode 16 should be visited before node22\nnode 16 should be visited before node27\nnode 17 should be visited before node8\nnode 17 should be visited before node10\nnode 17 should be visited before node4\nnode 17 should be visited before node25\nnode 17 should be visited before node0\nnode 17 should be visited before node30\nnode 17 should be visited before node14\nnode 17 should be visited before node1\nnode 17 should be visited before node27\nnode 18 should be visited before node17\nnode 18 should be visited before node8\nnode 18 should be visited before node4\nnode 18 should be visited before node27\nnode 19 should be visited before node26\nnode 19 should be visited before node21\nnode 19 should be visited before node17\nnode 19 should be visited before node8\nnode 19 should be visited before node10\nnode 19 should be visited before node7\nnode 19 should be visited before node22\nnode 19 should be visited before node27\nnode 20 should be visited before node8\nnode 20 should be visited before node10\nnode 20 should be visited before node30\nnode 20 should be visited before node11\nnode 20 should be visited before node9\nnode 20 should be visited before node27\nnode 21 should be visited before node32\nnode 21 should be visited before node8\nnode 21 should be visited before node10\nnode 21 should be visited before node25\nnode 21 should be visited before node12\nnode 22 should be visited before node15\nnode 23 should be visited before node2\nnode 23 should be visited before node29\nnode 23 should be visited before node21\nnode 23 should be visited before node13\nnode 23 should be visited before node17\nnode 23 should be visited before node10\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node30\nnode 23 should be visited before node22\nnode 23 should be visited before node15\nnode 23 should be visited before node27\nnode 24 should be visited before node28\nnode 24 should be visited before node32\nnode 24 should be visited before node8\nnode 24 should be visited before node16\nnode 24 should be visited before node10\nnode 24 should be visited before node0\nnode 24 should be visited before node27\nnode 25 should be visited before node12\nnode 25 should be visited before node0\nnode 25 should be visited before node22\nnode 26 should be visited before node5\nnode 26 should be visited before node17\nnode 26 should be visited before node20\nnode 26 should be visited before node4\nnode 26 should be visited before node0\nnode 26 should be visited before node30\nnode 28 should be visited before node20\nnode 28 should be visited before node8\nnode 28 should be visited before node7\nnode 28 should be visited before node30\nnode 29 should be visited before node3\nnode 29 should be visited before node26\nnode 29 should be visited before node5\nnode 29 should be visited before node18\nnode 29 should be visited before node17\nnode 29 should be visited before node24\nnode 29 should be visited before node10\nnode 29 should be visited before node4\nnode 29 should be visited before node25\nnode 29 should be visited before node12\nnode 29 should be visited before node11\nnode 29 should be visited before node1\nnode 30 should be visited before node9\nnode 31 should be visited before node3\nnode 31 should be visited before node5\nnode 31 should be visited before node6\nnode 31 should be visited before node21\nnode 31 should be visited before node13\nnode 31 should be visited before node18\nnode 31 should be visited before node24\nnode 31 should be visited before node28\nnode 31 should be visited before node32\nnode 31 should be visited before node8\nnode 31 should be visited before node16\nnode 31 should be visited before node10\nnode 31 should be visited before node4\nnode 31 should be visited before node1\nnode 32 should be visited before node7\nnode 32 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,23,31,2,29,6,21,13,3,26,5,18,24,17,28,32,16,20,4,8,10,11,7,25,30,14,12,0,9,1,22,27,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph777",
        "image": "data/topology/graph_visual/hard/graph777.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node13\nnode 0 should be visited before node27\nnode 1 should be visited before node29\nnode 1 should be visited before node9\nnode 1 should be visited before node12\nnode 1 should be visited before node30\nnode 1 should be visited before node21\nnode 1 should be visited before node7\nnode 2 should be visited before node23\nnode 2 should be visited before node28\nnode 2 should be visited before node11\nnode 2 should be visited before node5\nnode 2 should be visited before node26\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node17\nnode 2 should be visited before node0\nnode 2 should be visited before node30\nnode 3 should be visited before node20\nnode 3 should be visited before node4\nnode 3 should be visited before node15\nnode 3 should be visited before node26\nnode 3 should be visited before node22\nnode 3 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node19\nnode 4 should be visited before node14\nnode 4 should be visited before node22\nnode 4 should be visited before node1\nnode 4 should be visited before node10\nnode 4 should be visited before node12\nnode 4 should be visited before node17\nnode 4 should be visited before node30\nnode 4 should be visited before node13\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node17\nnode 5 should be visited before node0\nnode 5 should be visited before node27\nnode 6 should be visited before node22\nnode 6 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node0\nnode 6 should be visited before node19\nnode 6 should be visited before node13\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node0\nnode 8 should be visited before node21\nnode 8 should be visited before node24\nnode 9 should be visited before node0\nnode 9 should be visited before node30\nnode 9 should be visited before node13\nnode 9 should be visited before node7\nnode 10 should be visited before node12\nnode 10 should be visited before node24\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node22\nnode 11 should be visited before node29\nnode 11 should be visited before node12\nnode 11 should be visited before node0\nnode 11 should be visited before node30\nnode 11 should be visited before node24\nnode 12 should be visited before node0\nnode 12 should be visited before node21\nnode 12 should be visited before node13\nnode 14 should be visited before node22\nnode 14 should be visited before node29\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node7\nnode 14 should be visited before node27\nnode 15 should be visited before node26\nnode 15 should be visited before node9\nnode 15 should be visited before node19\nnode 15 should be visited before node21\nnode 15 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node1\nnode 16 should be visited before node13\nnode 16 should be visited before node7\nnode 16 should be visited before node27\nnode 17 should be visited before node0\nnode 17 should be visited before node21\nnode 17 should be visited before node27\nnode 18 should be visited before node8\nnode 18 should be visited before node10\nnode 18 should be visited before node7\nnode 19 should be visited before node24\nnode 20 should be visited before node28\nnode 20 should be visited before node31\nnode 20 should be visited before node15\nnode 20 should be visited before node1\nnode 20 should be visited before node17\nnode 20 should be visited before node30\nnode 20 should be visited before node13\nnode 21 should be visited before node13\nnode 21 should be visited before node7\nnode 22 should be visited before node1\nnode 22 should be visited before node29\nnode 22 should be visited before node17\nnode 22 should be visited before node24\nnode 23 should be visited before node15\nnode 23 should be visited before node26\nnode 23 should be visited before node18\nnode 23 should be visited before node1\nnode 23 should be visited before node29\nnode 23 should be visited before node30\nnode 23 should be visited before node24\nnode 24 should be visited before node27\nnode 25 should be visited before node3\nnode 25 should be visited before node16\nnode 25 should be visited before node5\nnode 25 should be visited before node26\nnode 25 should be visited before node14\nnode 25 should be visited before node8\nnode 25 should be visited before node22\nnode 25 should be visited before node1\nnode 25 should be visited before node10\nnode 25 should be visited before node12\nnode 25 should be visited before node30\nnode 25 should be visited before node21\nnode 25 should be visited before node27\nnode 26 should be visited before node18\nnode 26 should be visited before node8\nnode 26 should be visited before node22\nnode 26 should be visited before node1\nnode 26 should be visited before node29\nnode 26 should be visited before node9\nnode 26 should be visited before node19\nnode 26 should be visited before node7\nnode 26 should be visited before node24\nnode 26 should be visited before node27\nnode 28 should be visited before node16\nnode 28 should be visited before node31\nnode 28 should be visited before node6\nnode 28 should be visited before node8\nnode 28 should be visited before node30\nnode 28 should be visited before node7\nnode 28 should be visited before node24\nnode 29 should be visited before node21\nnode 30 should be visited before node21\nnode 30 should be visited before node24\nnode 30 should be visited before node27\nnode 31 should be visited before node15\nnode 31 should be visited before node14\nnode 31 should be visited before node9\nnode 31 should be visited before node10\nnode 31 should be visited before node17\nnode 31 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,25,23,11,3,5,20,4,28,16,31,6,15,14,26,18,22,19,8,1,17,10,29,9,12,30,0,21,24,13,7,27."
            }
        ]
    },
    {
        "id": "topology-hard-graph1182",
        "image": "data/topology/graph_visual/hard/graph1182.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node25\nnode 0 should be visited before node26\nnode 0 should be visited before node1\nnode 0 should be visited before node34\nnode 0 should be visited before node16\nnode 0 should be visited before node7\nnode 0 should be visited before node22\nnode 0 should be visited before node10\nnode 0 should be visited before node24\nnode 0 should be visited before node29\nnode 0 should be visited before node33\nnode 0 should be visited before node30\nnode 0 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node17\nnode 1 should be visited before node3\nnode 1 should be visited before node22\nnode 1 should be visited before node23\nnode 1 should be visited before node10\nnode 1 should be visited before node32\nnode 1 should be visited before node24\nnode 1 should be visited before node21\nnode 1 should be visited before node28\nnode 1 should be visited before node29\nnode 1 should be visited before node30\nnode 1 should be visited before node14\nnode 2 should be visited before node25\nnode 2 should be visited before node34\nnode 2 should be visited before node16\nnode 2 should be visited before node7\nnode 2 should be visited before node12\nnode 2 should be visited before node19\nnode 2 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node22\nnode 2 should be visited before node8\nnode 2 should be visited before node32\nnode 2 should be visited before node28\nnode 2 should be visited before node27\nnode 2 should be visited before node29\nnode 2 should be visited before node6\nnode 2 should be visited before node33\nnode 2 should be visited before node9\nnode 2 should be visited before node30\nnode 3 should be visited before node22\nnode 3 should be visited before node31\nnode 3 should be visited before node10\nnode 3 should be visited before node32\nnode 3 should be visited before node24\nnode 3 should be visited before node27\nnode 3 should be visited before node33\nnode 3 should be visited before node9\nnode 3 should be visited before node20\nnode 4 should be visited before node15\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node13\nnode 4 should be visited before node22\nnode 4 should be visited before node31\nnode 4 should be visited before node10\nnode 4 should be visited before node24\nnode 4 should be visited before node29\nnode 4 should be visited before node6\nnode 4 should be visited before node33\nnode 4 should be visited before node20\nnode 5 should be visited before node11\nnode 5 should be visited before node18\nnode 5 should be visited before node15\nnode 5 should be visited before node26\nnode 5 should be visited before node1\nnode 5 should be visited before node16\nnode 5 should be visited before node12\nnode 5 should be visited before node3\nnode 5 should be visited before node22\nnode 5 should be visited before node10\nnode 5 should be visited before node21\nnode 5 should be visited before node28\nnode 5 should be visited before node27\nnode 5 should be visited before node33\nnode 5 should be visited before node9\nnode 5 should be visited before node30\nnode 5 should be visited before node14\nnode 6 should be visited before node9\nnode 6 should be visited before node14\nnode 7 should be visited before node17\nnode 7 should be visited before node12\nnode 7 should be visited before node19\nnode 7 should be visited before node3\nnode 7 should be visited before node23\nnode 7 should be visited before node21\nnode 7 should be visited before node27\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 7 should be visited before node20\nnode 8 should be visited before node23\nnode 8 should be visited before node10\nnode 8 should be visited before node32\nnode 8 should be visited before node21\nnode 8 should be visited before node27\nnode 8 should be visited before node29\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node20\nnode 9 should be visited before node30\nnode 9 should be visited before node20\nnode 10 should be visited before node32\nnode 10 should be visited before node24\nnode 10 should be visited before node21\nnode 10 should be visited before node28\nnode 10 should be visited before node29\nnode 10 should be visited before node6\nnode 10 should be visited before node33\nnode 10 should be visited before node14\nnode 10 should be visited before node20\nnode 11 should be visited before node18\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node25\nnode 11 should be visited before node26\nnode 11 should be visited before node1\nnode 11 should be visited before node34\nnode 11 should be visited before node12\nnode 11 should be visited before node19\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node32\nnode 11 should be visited before node24\nnode 11 should be visited before node27\nnode 11 should be visited before node9\nnode 11 should be visited before node20\nnode 12 should be visited before node3\nnode 12 should be visited before node13\nnode 12 should be visited before node8\nnode 12 should be visited before node23\nnode 12 should be visited before node32\nnode 12 should be visited before node30\nnode 13 should be visited before node8\nnode 13 should be visited before node23\nnode 13 should be visited before node32\nnode 13 should be visited before node24\nnode 13 should be visited before node21\nnode 13 should be visited before node29\nnode 13 should be visited before node6\nnode 13 should be visited before node9\nnode 15 should be visited before node0\nnode 15 should be visited before node26\nnode 15 should be visited before node1\nnode 15 should be visited before node34\nnode 15 should be visited before node16\nnode 15 should be visited before node7\nnode 15 should be visited before node17\nnode 15 should be visited before node12\nnode 15 should be visited before node19\nnode 15 should be visited before node13\nnode 15 should be visited before node22\nnode 15 should be visited before node31\nnode 15 should be visited before node8\nnode 15 should be visited before node23\nnode 15 should be visited before node10\nnode 15 should be visited before node21\nnode 15 should be visited before node28\nnode 15 should be visited before node27\nnode 15 should be visited before node6\nnode 15 should be visited before node9\nnode 15 should be visited before node30\nnode 15 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node17\nnode 16 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node32\nnode 16 should be visited before node24\nnode 16 should be visited before node28\nnode 16 should be visited before node27\nnode 16 should be visited before node6\nnode 16 should be visited before node9\nnode 16 should be visited before node30\nnode 17 should be visited before node12\nnode 17 should be visited before node19\nnode 17 should be visited before node3\nnode 17 should be visited before node13\nnode 17 should be visited before node22\nnode 17 should be visited before node31\nnode 17 should be visited before node10\nnode 17 should be visited before node30\nnode 17 should be visited before node20\nnode 18 should be visited before node0\nnode 18 should be visited before node1\nnode 18 should be visited before node34\nnode 18 should be visited before node7\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node19\nnode 18 should be visited before node3\nnode 18 should be visited before node13\nnode 18 should be visited before node31\nnode 18 should be visited before node8\nnode 18 should be visited before node23\nnode 18 should be visited before node32\nnode 18 should be visited before node24\nnode 18 should be visited before node27\nnode 18 should be visited before node29\nnode 18 should be visited before node6\nnode 18 should be visited before node9\nnode 18 should be visited before node30\nnode 19 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node8\nnode 19 should be visited before node10\nnode 19 should be visited before node27\nnode 19 should be visited before node6\nnode 19 should be visited before node14\nnode 19 should be visited before node20\nnode 21 should be visited before node28\nnode 21 should be visited before node27\nnode 21 should be visited before node29\nnode 21 should be visited before node6\nnode 21 should be visited before node33\nnode 21 should be visited before node9\nnode 21 should be visited before node30\nnode 21 should be visited before node14\nnode 21 should be visited before node20\nnode 22 should be visited before node31\nnode 22 should be visited before node8\nnode 22 should be visited before node23\nnode 22 should be visited before node10\nnode 22 should be visited before node32\nnode 22 should be visited before node24\nnode 22 should be visited before node21\nnode 22 should be visited before node28\nnode 22 should be visited before node27\nnode 22 should be visited before node29\nnode 22 should be visited before node9\nnode 22 should be visited before node30\nnode 23 should be visited before node32\nnode 23 should be visited before node21\nnode 23 should be visited before node29\nnode 23 should be visited before node9\nnode 24 should be visited before node6\nnode 24 should be visited before node20\nnode 25 should be visited before node26\nnode 25 should be visited before node1\nnode 25 should be visited before node34\nnode 25 should be visited before node16\nnode 25 should be visited before node7\nnode 25 should be visited before node17\nnode 25 should be visited before node12\nnode 25 should be visited before node19\nnode 25 should be visited before node3\nnode 25 should be visited before node22\nnode 25 should be visited before node31\nnode 25 should be visited before node23\nnode 25 should be visited before node32\nnode 25 should be visited before node24\nnode 25 should be visited before node27\nnode 25 should be visited before node6\nnode 25 should be visited before node9\nnode 25 should be visited before node20\nnode 26 should be visited before node1\nnode 26 should be visited before node7\nnode 26 should be visited before node12\nnode 26 should be visited before node19\nnode 26 should be visited before node3\nnode 26 should be visited before node13\nnode 26 should be visited before node22\nnode 26 should be visited before node31\nnode 26 should be visited before node32\nnode 26 should be visited before node21\nnode 26 should be visited before node27\nnode 26 should be visited before node6\nnode 26 should be visited before node33\nnode 26 should be visited before node30\nnode 26 should be visited before node14\nnode 26 should be visited before node20\nnode 27 should be visited before node33\nnode 27 should be visited before node30\nnode 27 should be visited before node20\nnode 28 should be visited before node27\nnode 28 should be visited before node29\nnode 28 should be visited before node30\nnode 29 should be visited before node33\nnode 29 should be visited before node30\nnode 29 should be visited before node14\nnode 29 should be visited before node20\nnode 30 should be visited before node14\nnode 31 should be visited before node10\nnode 31 should be visited before node24\nnode 31 should be visited before node21\nnode 31 should be visited before node29\nnode 31 should be visited before node9\nnode 31 should be visited before node14\nnode 31 should be visited before node20\nnode 32 should be visited before node24\nnode 32 should be visited before node21\nnode 32 should be visited before node27\nnode 32 should be visited before node6\nnode 32 should be visited before node33\nnode 32 should be visited before node9\nnode 32 should be visited before node14\nnode 33 should be visited before node9\nnode 33 should be visited before node30\nnode 34 should be visited before node16\nnode 34 should be visited before node17\nnode 34 should be visited before node3\nnode 34 should be visited before node22\nnode 34 should be visited before node23\nnode 34 should be visited before node24\nnode 34 should be visited before node29\nnode 34 should be visited before node6\nnode 34 should be visited before node33\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,11,18,4,15,0,25,26,34,1,16,7,17,12,19,3,13,22,31,8,23,10,32,24,21,28,6,27,29,33,9,30,20,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph870",
        "image": "data/topology/graph_visual/hard/graph870.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node14\nnode 0 should be visited before node23\nnode 0 should be visited before node30\nnode 0 should be visited before node25\nnode 2 should be visited before node24\nnode 2 should be visited before node17\nnode 2 should be visited before node29\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 3 should be visited before node26\nnode 3 should be visited before node2\nnode 3 should be visited before node17\nnode 3 should be visited before node12\nnode 3 should be visited before node0\nnode 3 should be visited before node27\nnode 3 should be visited before node25\nnode 4 should be visited before node25\nnode 5 should be visited before node16\nnode 5 should be visited before node19\nnode 5 should be visited before node6\nnode 5 should be visited before node24\nnode 5 should be visited before node17\nnode 5 should be visited before node0\nnode 5 should be visited before node18\nnode 5 should be visited before node14\nnode 6 should be visited before node28\nnode 6 should be visited before node15\nnode 6 should be visited before node17\nnode 6 should be visited before node12\nnode 6 should be visited before node27\nnode 6 should be visited before node10\nnode 6 should be visited before node30\nnode 6 should be visited before node7\nnode 8 should be visited before node7\nnode 9 should be visited before node20\nnode 9 should be visited before node19\nnode 9 should be visited before node26\nnode 9 should be visited before node2\nnode 9 should be visited before node24\nnode 9 should be visited before node15\nnode 9 should be visited before node27\nnode 9 should be visited before node4\nnode 9 should be visited before node23\nnode 9 should be visited before node30\nnode 9 should be visited before node32\nnode 9 should be visited before node7\nnode 10 should be visited before node23\nnode 10 should be visited before node32\nnode 10 should be visited before node31\nnode 11 should be visited before node20\nnode 11 should be visited before node16\nnode 11 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node26\nnode 11 should be visited before node27\nnode 11 should be visited before node8\nnode 12 should be visited before node18\nnode 12 should be visited before node30\nnode 12 should be visited before node31\nnode 13 should be visited before node12\nnode 13 should be visited before node0\nnode 13 should be visited before node10\nnode 13 should be visited before node23\nnode 13 should be visited before node7\nnode 14 should be visited before node32\nnode 15 should be visited before node12\nnode 15 should be visited before node29\nnode 15 should be visited before node10\nnode 15 should be visited before node25\nnode 16 should be visited before node6\nnode 16 should be visited before node26\nnode 16 should be visited before node24\nnode 16 should be visited before node17\nnode 16 should be visited before node12\nnode 16 should be visited before node29\nnode 16 should be visited before node1\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node29\nnode 17 should be visited before node4\nnode 17 should be visited before node1\nnode 18 should be visited before node23\nnode 18 should be visited before node30\nnode 18 should be visited before node25\nnode 19 should be visited before node6\nnode 19 should be visited before node13\nnode 19 should be visited before node12\nnode 19 should be visited before node29\nnode 19 should be visited before node10\nnode 19 should be visited before node14\nnode 19 should be visited before node25\nnode 20 should be visited before node6\nnode 20 should be visited before node28\nnode 20 should be visited before node17\nnode 20 should be visited before node14\nnode 20 should be visited before node23\nnode 20 should be visited before node1\nnode 21 should be visited before node19\nnode 21 should be visited before node26\nnode 21 should be visited before node13\nnode 21 should be visited before node12\nnode 21 should be visited before node10\nnode 21 should be visited before node32\nnode 21 should be visited before node31\nnode 21 should be visited before node8\nnode 22 should be visited before node24\nnode 22 should be visited before node17\nnode 22 should be visited before node1\nnode 22 should be visited before node32\nnode 23 should be visited before node31\nnode 24 should be visited before node29\nnode 24 should be visited before node27\nnode 24 should be visited before node18\nnode 24 should be visited before node4\nnode 24 should be visited before node23\nnode 25 should be visited before node7\nnode 26 should be visited before node28\nnode 26 should be visited before node24\nnode 26 should be visited before node13\nnode 26 should be visited before node15\nnode 26 should be visited before node0\nnode 26 should be visited before node31\nnode 26 should be visited before node8\nnode 26 should be visited before node25\nnode 27 should be visited before node10\nnode 27 should be visited before node18\nnode 27 should be visited before node1\nnode 27 should be visited before node7\nnode 28 should be visited before node17\nnode 28 should be visited before node12\nnode 28 should be visited before node10\nnode 28 should be visited before node14\nnode 28 should be visited before node4\nnode 28 should be visited before node1\nnode 29 should be visited before node18\nnode 29 should be visited before node8\nnode 30 should be visited before node25\nnode 31 should be visited before node25\nnode 32 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,5,9,11,21,22,2,20,16,19,26,6,24,13,28,15,27,17,12,10,0,29,4,1,14,18,8,32,23,30,31,25,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph887",
        "image": "data/topology/graph_visual/hard/graph887.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node22\nnode 0 should be visited before node17\nnode 0 should be visited before node25\nnode 0 should be visited before node14\nnode 0 should be visited before node10\nnode 0 should be visited before node32\nnode 0 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node31\nnode 2 should be visited before node29\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 3 should be visited before node28\nnode 3 should be visited before node27\nnode 3 should be visited before node25\nnode 3 should be visited before node20\nnode 3 should be visited before node2\nnode 3 should be visited before node26\nnode 3 should be visited before node9\nnode 3 should be visited before node32\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 4 should be visited before node12\nnode 4 should be visited before node9\nnode 4 should be visited before node16\nnode 5 should be visited before node17\nnode 5 should be visited before node25\nnode 5 should be visited before node20\nnode 5 should be visited before node18\nnode 5 should be visited before node2\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node16\nnode 6 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node6\nnode 10 should be visited before node9\nnode 10 should be visited before node32\nnode 10 should be visited before node8\nnode 12 should be visited before node32\nnode 12 should be visited before node6\nnode 13 should be visited before node29\nnode 13 should be visited before node9\nnode 13 should be visited before node32\nnode 13 should be visited before node8\nnode 13 should be visited before node31\nnode 14 should be visited before node23\nnode 14 should be visited before node12\nnode 14 should be visited before node32\nnode 14 should be visited before node16\nnode 14 should be visited before node31\nnode 15 should be visited before node27\nnode 15 should be visited before node20\nnode 15 should be visited before node14\nnode 15 should be visited before node4\nnode 15 should be visited before node18\nnode 15 should be visited before node2\nnode 15 should be visited before node26\nnode 15 should be visited before node12\nnode 16 should be visited before node11\nnode 17 should be visited before node19\nnode 17 should be visited before node15\nnode 17 should be visited before node18\nnode 17 should be visited before node26\nnode 17 should be visited before node32\nnode 17 should be visited before node7\nnode 17 should be visited before node16\nnode 18 should be visited before node21\nnode 18 should be visited before node23\nnode 18 should be visited before node13\nnode 18 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node7\nnode 18 should be visited before node31\nnode 18 should be visited before node11\nnode 19 should be visited before node20\nnode 19 should be visited before node26\nnode 19 should be visited before node12\nnode 19 should be visited before node32\nnode 20 should be visited before node4\nnode 20 should be visited before node23\nnode 20 should be visited before node7\nnode 20 should be visited before node6\nnode 21 should be visited before node12\nnode 21 should be visited before node32\nnode 21 should be visited before node31\nnode 22 should be visited before node25\nnode 22 should be visited before node4\nnode 22 should be visited before node12\nnode 23 should be visited before node13\nnode 23 should be visited before node1\nnode 23 should be visited before node32\nnode 23 should be visited before node7\nnode 24 should be visited before node17\nnode 24 should be visited before node15\nnode 24 should be visited before node27\nnode 24 should be visited before node25\nnode 24 should be visited before node10\nnode 24 should be visited before node18\nnode 24 should be visited before node26\nnode 24 should be visited before node13\nnode 24 should be visited before node12\nnode 24 should be visited before node9\nnode 24 should be visited before node6\nnode 24 should be visited before node31\nnode 25 should be visited before node4\nnode 25 should be visited before node32\nnode 25 should be visited before node7\nnode 25 should be visited before node16\nnode 25 should be visited before node6\nnode 25 should be visited before node31\nnode 26 should be visited before node32\nnode 26 should be visited before node8\nnode 26 should be visited before node11\nnode 27 should be visited before node20\nnode 27 should be visited before node10\nnode 27 should be visited before node29\nnode 27 should be visited before node12\nnode 27 should be visited before node16\nnode 27 should be visited before node6\nnode 28 should be visited before node17\nnode 28 should be visited before node15\nnode 28 should be visited before node20\nnode 28 should be visited before node4\nnode 28 should be visited before node18\nnode 28 should be visited before node9\nnode 28 should be visited before node32\nnode 28 should be visited before node31\nnode 30 should be visited before node20\nnode 30 should be visited before node4\nnode 30 should be visited before node10\nnode 30 should be visited before node29\nnode 32 should be visited before node8\nnode 32 should be visited before node7\nnode 32 should be visited before node6\nnode 32 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,5,24,30,22,28,25,17,19,15,27,14,18,2,26,20,21,4,23,10,12,13,1,29,32,9,31,8,16,7,6,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph1152",
        "image": "data/topology/graph_visual/hard/graph1152.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 1 should be visited before node29\nnode 1 should be visited before node11\nnode 1 should be visited before node18\nnode 1 should be visited before node17\nnode 1 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node23\nnode 2 should be visited before node30\nnode 2 should be visited before node15\nnode 2 should be visited before node16\nnode 2 should be visited before node24\nnode 2 should be visited before node22\nnode 2 should be visited before node19\nnode 2 should be visited before node10\nnode 2 should be visited before node29\nnode 2 should be visited before node18\nnode 2 should be visited before node17\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 3 should be visited before node23\nnode 3 should be visited before node12\nnode 3 should be visited before node32\nnode 3 should be visited before node8\nnode 3 should be visited before node24\nnode 3 should be visited before node19\nnode 3 should be visited before node10\nnode 3 should be visited before node28\nnode 3 should be visited before node29\nnode 3 should be visited before node18\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 4 should be visited before node32\nnode 4 should be visited before node33\nnode 4 should be visited before node8\nnode 4 should be visited before node7\nnode 4 should be visited before node24\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 5 should be visited before node26\nnode 5 should be visited before node31\nnode 5 should be visited before node25\nnode 5 should be visited before node2\nnode 5 should be visited before node23\nnode 5 should be visited before node30\nnode 5 should be visited before node12\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node33\nnode 5 should be visited before node7\nnode 5 should be visited before node27\nnode 5 should be visited before node22\nnode 5 should be visited before node11\nnode 5 should be visited before node17\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 6 should be visited before node5\nnode 6 should be visited before node25\nnode 6 should be visited before node3\nnode 6 should be visited before node23\nnode 6 should be visited before node30\nnode 6 should be visited before node15\nnode 6 should be visited before node12\nnode 6 should be visited before node13\nnode 6 should be visited before node32\nnode 6 should be visited before node33\nnode 6 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node22\nnode 6 should be visited before node10\nnode 6 should be visited before node1\nnode 6 should be visited before node28\nnode 6 should be visited before node29\nnode 6 should be visited before node18\nnode 6 should be visited before node0\nnode 6 should be visited before node14\nnode 7 should be visited before node19\nnode 7 should be visited before node28\nnode 7 should be visited before node29\nnode 7 should be visited before node11\nnode 7 should be visited before node18\nnode 7 should be visited before node0\nnode 8 should be visited before node7\nnode 8 should be visited before node27\nnode 8 should be visited before node22\nnode 8 should be visited before node19\nnode 8 should be visited before node10\nnode 8 should be visited before node1\nnode 8 should be visited before node29\nnode 8 should be visited before node20\nnode 8 should be visited before node11\nnode 9 should be visited before node21\nnode 9 should be visited before node34\nnode 9 should be visited before node31\nnode 9 should be visited before node3\nnode 9 should be visited before node30\nnode 9 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node33\nnode 9 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node24\nnode 9 should be visited before node10\nnode 9 should be visited before node1\nnode 9 should be visited before node20\nnode 9 should be visited before node17\nnode 9 should be visited before node14\nnode 10 should be visited before node1\nnode 10 should be visited before node28\nnode 10 should be visited before node29\nnode 10 should be visited before node18\nnode 10 should be visited before node14\nnode 11 should be visited before node18\nnode 11 should be visited before node17\nnode 11 should be visited before node0\nnode 11 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node4\nnode 12 should be visited before node32\nnode 12 should be visited before node27\nnode 12 should be visited before node24\nnode 12 should be visited before node22\nnode 12 should be visited before node19\nnode 12 should be visited before node10\nnode 12 should be visited before node29\nnode 12 should be visited before node20\nnode 12 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 13 should be visited before node16\nnode 13 should be visited before node4\nnode 13 should be visited before node8\nnode 13 should be visited before node27\nnode 13 should be visited before node24\nnode 13 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node20\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 15 should be visited before node13\nnode 15 should be visited before node32\nnode 15 should be visited before node8\nnode 15 should be visited before node7\nnode 15 should be visited before node24\nnode 15 should be visited before node28\nnode 15 should be visited before node29\nnode 15 should be visited before node18\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 16 should be visited before node4\nnode 16 should be visited before node32\nnode 16 should be visited before node8\nnode 16 should be visited before node24\nnode 16 should be visited before node22\nnode 16 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node1\nnode 16 should be visited before node28\nnode 16 should be visited before node18\nnode 16 should be visited before node0\nnode 16 should be visited before node14\nnode 17 should be visited before node0\nnode 18 should be visited before node14\nnode 19 should be visited before node20\nnode 19 should be visited before node11\nnode 19 should be visited before node0\nnode 19 should be visited before node14\nnode 20 should be visited before node17\nnode 20 should be visited before node14\nnode 21 should be visited before node6\nnode 21 should be visited before node5\nnode 21 should be visited before node2\nnode 21 should be visited before node23\nnode 21 should be visited before node30\nnode 21 should be visited before node15\nnode 21 should be visited before node12\nnode 21 should be visited before node13\nnode 21 should be visited before node16\nnode 21 should be visited before node32\nnode 21 should be visited before node33\nnode 21 should be visited before node8\nnode 21 should be visited before node22\nnode 21 should be visited before node10\nnode 21 should be visited before node11\nnode 21 should be visited before node0\nnode 22 should be visited before node10\nnode 22 should be visited before node28\nnode 22 should be visited before node18\nnode 22 should be visited before node17\nnode 23 should be visited before node15\nnode 23 should be visited before node13\nnode 23 should be visited before node16\nnode 23 should be visited before node32\nnode 23 should be visited before node33\nnode 23 should be visited before node7\nnode 23 should be visited before node24\nnode 23 should be visited before node22\nnode 23 should be visited before node19\nnode 23 should be visited before node1\nnode 23 should be visited before node11\nnode 23 should be visited before node17\nnode 23 should be visited before node0\nnode 24 should be visited before node22\nnode 24 should be visited before node19\nnode 24 should be visited before node28\nnode 24 should be visited before node20\nnode 24 should be visited before node17\nnode 24 should be visited before node0\nnode 25 should be visited before node30\nnode 25 should be visited before node15\nnode 25 should be visited before node12\nnode 25 should be visited before node13\nnode 25 should be visited before node33\nnode 25 should be visited before node7\nnode 25 should be visited before node27\nnode 25 should be visited before node22\nnode 25 should be visited before node19\nnode 25 should be visited before node10\nnode 25 should be visited before node28\nnode 25 should be visited before node18\nnode 26 should be visited before node2\nnode 26 should be visited before node3\nnode 26 should be visited before node23\nnode 26 should be visited before node30\nnode 26 should be visited before node4\nnode 26 should be visited before node33\nnode 26 should be visited before node8\nnode 26 should be visited before node7\nnode 26 should be visited before node24\nnode 26 should be visited before node28\nnode 26 should be visited before node14\nnode 27 should be visited before node29\nnode 27 should be visited before node20\nnode 27 should be visited before node14\nnode 28 should be visited before node11\nnode 28 should be visited before node0\nnode 28 should be visited before node14\nnode 29 should be visited before node11\nnode 29 should be visited before node17\nnode 29 should be visited before node0\nnode 30 should be visited before node15\nnode 30 should be visited before node12\nnode 30 should be visited before node4\nnode 30 should be visited before node7\nnode 30 should be visited before node24\nnode 30 should be visited before node19\nnode 30 should be visited before node28\nnode 30 should be visited before node20\nnode 30 should be visited before node11\nnode 30 should be visited before node18\nnode 30 should be visited before node0\nnode 30 should be visited before node14\nnode 31 should be visited before node25\nnode 31 should be visited before node2\nnode 31 should be visited before node3\nnode 31 should be visited before node30\nnode 31 should be visited before node12\nnode 31 should be visited before node4\nnode 31 should be visited before node32\nnode 31 should be visited before node33\nnode 31 should be visited before node8\nnode 31 should be visited before node7\nnode 31 should be visited before node27\nnode 31 should be visited before node24\nnode 31 should be visited before node19\nnode 31 should be visited before node10\nnode 31 should be visited before node1\nnode 31 should be visited before node28\nnode 31 should be visited before node20\nnode 31 should be visited before node11\nnode 31 should be visited before node17\nnode 31 should be visited before node0\nnode 31 should be visited before node14\nnode 32 should be visited before node8\nnode 32 should be visited before node7\nnode 32 should be visited before node24\nnode 32 should be visited before node22\nnode 32 should be visited before node28\nnode 32 should be visited before node20\nnode 32 should be visited before node14\nnode 33 should be visited before node27\nnode 33 should be visited before node22\nnode 33 should be visited before node19\nnode 33 should be visited before node1\nnode 33 should be visited before node28\nnode 33 should be visited before node20\nnode 33 should be visited before node11\nnode 33 should be visited before node18\nnode 33 should be visited before node17\nnode 33 should be visited before node14\nnode 34 should be visited before node32\nnode 34 should be visited before node33\nnode 34 should be visited before node7\nnode 34 should be visited before node24\nnode 34 should be visited before node20\nnode 34 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,21,34,6,5,26,31,25,2,3,30,23,12,15,13,16,4,32,33,8,24,7,27,22,19,10,20,1,28,29,11,18,17,14,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph328",
        "image": "data/topology/graph_visual/hard/graph328.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node13\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 0 should be visited before node12\nnode 0 should be visited before node8\nnode 0 should be visited before node21\nnode 0 should be visited before node26\nnode 0 should be visited before node14\nnode 0 should be visited before node11\nnode 0 should be visited before node22\nnode 1 should be visited before node25\nnode 1 should be visited before node21\nnode 1 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node14\nnode 1 should be visited before node11\nnode 1 should be visited before node16\nnode 1 should be visited before node20\nnode 1 should be visited before node4\nnode 1 should be visited before node22\nnode 2 should be visited before node5\nnode 2 should be visited before node26\nnode 2 should be visited before node4\nnode 3 should be visited before node12\nnode 3 should be visited before node21\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 3 should be visited before node2\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node22\nnode 5 should be visited before node26\nnode 5 should be visited before node11\nnode 5 should be visited before node4\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 6 should be visited before node24\nnode 6 should be visited before node2\nnode 6 should be visited before node17\nnode 6 should be visited before node4\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node25\nnode 7 should be visited before node3\nnode 7 should be visited before node2\nnode 7 should be visited before node17\nnode 7 should be visited before node26\nnode 7 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node20\nnode 7 should be visited before node22\nnode 8 should be visited before node21\nnode 8 should be visited before node9\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node17\nnode 8 should be visited before node5\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node16\nnode 8 should be visited before node20\nnode 8 should be visited before node4\nnode 9 should be visited before node24\nnode 9 should be visited before node26\nnode 9 should be visited before node14\nnode 9 should be visited before node11\nnode 9 should be visited before node20\nnode 10 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node26\nnode 10 should be visited before node14\nnode 10 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node20\nnode 11 should be visited before node16\nnode 11 should be visited before node20\nnode 11 should be visited before node4\nnode 11 should be visited before node22\nnode 12 should be visited before node2\nnode 12 should be visited before node17\nnode 12 should be visited before node26\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 13 should be visited before node12\nnode 13 should be visited before node21\nnode 13 should be visited before node9\nnode 13 should be visited before node11\nnode 13 should be visited before node16\nnode 13 should be visited before node20\nnode 13 should be visited before node4\nnode 13 should be visited before node22\nnode 14 should be visited before node16\nnode 14 should be visited before node20\nnode 14 should be visited before node22\nnode 15 should be visited before node19\nnode 15 should be visited before node27\nnode 15 should be visited before node13\nnode 15 should be visited before node18\nnode 15 should be visited before node25\nnode 15 should be visited before node12\nnode 15 should be visited before node8\nnode 15 should be visited before node21\nnode 15 should be visited before node24\nnode 15 should be visited before node10\nnode 15 should be visited before node14\nnode 15 should be visited before node11\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 15 should be visited before node4\nnode 16 should be visited before node4\nnode 16 should be visited before node22\nnode 17 should be visited before node5\nnode 17 should be visited before node11\nnode 17 should be visited before node20\nnode 17 should be visited before node4\nnode 17 should be visited before node22\nnode 18 should be visited before node25\nnode 18 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node21\nnode 18 should be visited before node24\nnode 18 should be visited before node2\nnode 18 should be visited before node14\nnode 18 should be visited before node11\nnode 18 should be visited before node16\nnode 18 should be visited before node20\nnode 18 should be visited before node4\nnode 18 should be visited before node22\nnode 19 should be visited before node27\nnode 19 should be visited before node13\nnode 19 should be visited before node18\nnode 19 should be visited before node25\nnode 19 should be visited before node3\nnode 19 should be visited before node12\nnode 19 should be visited before node8\nnode 19 should be visited before node21\nnode 19 should be visited before node9\nnode 19 should be visited before node24\nnode 19 should be visited before node17\nnode 19 should be visited before node16\nnode 19 should be visited before node20\nnode 19 should be visited before node22\nnode 20 should be visited before node4\nnode 20 should be visited before node22\nnode 21 should be visited before node9\nnode 21 should be visited before node24\nnode 21 should be visited before node10\nnode 21 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node26\nnode 21 should be visited before node14\nnode 21 should be visited before node16\nnode 23 should be visited before node19\nnode 23 should be visited before node0\nnode 23 should be visited before node13\nnode 23 should be visited before node6\nnode 23 should be visited before node25\nnode 23 should be visited before node3\nnode 23 should be visited before node12\nnode 23 should be visited before node8\nnode 23 should be visited before node21\nnode 23 should be visited before node9\nnode 23 should be visited before node24\nnode 23 should be visited before node2\nnode 23 should be visited before node17\nnode 23 should be visited before node5\nnode 23 should be visited before node26\nnode 23 should be visited before node11\nnode 23 should be visited before node16\nnode 23 should be visited before node4\nnode 24 should be visited before node2\nnode 24 should be visited before node14\nnode 24 should be visited before node16\nnode 24 should be visited before node20\nnode 24 should be visited before node4\nnode 24 should be visited before node22\nnode 25 should be visited before node12\nnode 25 should be visited before node8\nnode 25 should be visited before node9\nnode 25 should be visited before node10\nnode 25 should be visited before node2\nnode 25 should be visited before node17\nnode 25 should be visited before node14\nnode 25 should be visited before node11\nnode 25 should be visited before node16\nnode 25 should be visited before node20\nnode 25 should be visited before node4\nnode 26 should be visited before node11\nnode 26 should be visited before node16\nnode 26 should be visited before node20\nnode 26 should be visited before node4\nnode 26 should be visited before node22\nnode 27 should be visited before node6\nnode 27 should be visited before node25\nnode 27 should be visited before node3\nnode 27 should be visited before node9\nnode 27 should be visited before node17\nnode 27 should be visited before node5\nnode 27 should be visited before node20\nnode 27 should be visited before node4\nnode 27 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,15,23,19,0,27,13,7,18,6,25,3,8,12,21,9,10,17,24,2,14,5,26,11,16,20,4,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph478",
        "image": "data/topology/graph_visual/hard/graph478.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 1 should be visited before node26\nnode 1 should be visited before node21\nnode 1 should be visited before node14\nnode 1 should be visited before node13\nnode 1 should be visited before node5\nnode 1 should be visited before node20\nnode 1 should be visited before node28\nnode 2 should be visited before node15\nnode 2 should be visited before node13\nnode 2 should be visited before node5\nnode 2 should be visited before node19\nnode 2 should be visited before node4\nnode 2 should be visited before node20\nnode 2 should be visited before node18\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 2 should be visited before node28\nnode 2 should be visited before node7\nnode 3 should be visited before node13\nnode 3 should be visited before node5\nnode 3 should be visited before node19\nnode 3 should be visited before node25\nnode 3 should be visited before node23\nnode 3 should be visited before node28\nnode 3 should be visited before node0\nnode 4 should be visited before node27\nnode 4 should be visited before node18\nnode 4 should be visited before node7\nnode 5 should be visited before node27\nnode 5 should be visited before node18\nnode 5 should be visited before node28\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node27\nnode 6 should be visited before node20\nnode 6 should be visited before node24\nnode 6 should be visited before node25\nnode 6 should be visited before node23\nnode 6 should be visited before node28\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 8 should be visited before node21\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node5\nnode 8 should be visited before node27\nnode 8 should be visited before node25\nnode 8 should be visited before node23\nnode 8 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node27\nnode 9 should be visited before node18\nnode 9 should be visited before node25\nnode 9 should be visited before node23\nnode 9 should be visited before node7\nnode 9 should be visited before node0\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node19\nnode 10 should be visited before node18\nnode 10 should be visited before node24\nnode 10 should be visited before node28\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 11 should be visited before node8\nnode 11 should be visited before node21\nnode 11 should be visited before node15\nnode 11 should be visited before node17\nnode 11 should be visited before node12\nnode 11 should be visited before node9\nnode 11 should be visited before node19\nnode 11 should be visited before node20\nnode 11 should be visited before node23\nnode 11 should be visited before node28\nnode 11 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 12 should be visited before node27\nnode 12 should be visited before node18\nnode 12 should be visited before node23\nnode 12 should be visited before node28\nnode 12 should be visited before node0\nnode 13 should be visited before node5\nnode 13 should be visited before node19\nnode 13 should be visited before node18\nnode 13 should be visited before node24\nnode 13 should be visited before node25\nnode 13 should be visited before node28\nnode 13 should be visited before node7\nnode 13 should be visited before node0\nnode 14 should be visited before node2\nnode 14 should be visited before node15\nnode 14 should be visited before node17\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node27\nnode 14 should be visited before node20\nnode 14 should be visited before node24\nnode 14 should be visited before node25\nnode 14 should be visited before node23\nnode 14 should be visited before node28\nnode 14 should be visited before node0\nnode 15 should be visited before node17\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node9\nnode 15 should be visited before node5\nnode 15 should be visited before node19\nnode 15 should be visited before node27\nnode 15 should be visited before node23\nnode 15 should be visited before node28\nnode 15 should be visited before node7\nnode 16 should be visited before node12\nnode 16 should be visited before node3\nnode 16 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node19\nnode 16 should be visited before node27\nnode 16 should be visited before node20\nnode 16 should be visited before node18\nnode 16 should be visited before node24\nnode 16 should be visited before node23\nnode 16 should be visited before node0\nnode 17 should be visited before node12\nnode 17 should be visited before node3\nnode 17 should be visited before node13\nnode 17 should be visited before node19\nnode 17 should be visited before node4\nnode 17 should be visited before node27\nnode 17 should be visited before node18\nnode 17 should be visited before node24\nnode 17 should be visited before node25\nnode 17 should be visited before node23\nnode 17 should be visited before node7\nnode 18 should be visited before node24\nnode 18 should be visited before node23\nnode 19 should be visited before node4\nnode 19 should be visited before node27\nnode 19 should be visited before node20\nnode 19 should be visited before node25\nnode 19 should be visited before node23\nnode 19 should be visited before node28\nnode 19 should be visited before node7\nnode 20 should be visited before node24\nnode 20 should be visited before node23\nnode 20 should be visited before node0\nnode 21 should be visited before node14\nnode 21 should be visited before node12\nnode 21 should be visited before node6\nnode 21 should be visited before node9\nnode 21 should be visited before node4\nnode 21 should be visited before node27\nnode 21 should be visited before node20\nnode 21 should be visited before node28\nnode 22 should be visited before node11\nnode 22 should be visited before node1\nnode 22 should be visited before node8\nnode 22 should be visited before node26\nnode 22 should be visited before node21\nnode 22 should be visited before node3\nnode 22 should be visited before node6\nnode 22 should be visited before node10\nnode 22 should be visited before node13\nnode 22 should be visited before node9\nnode 22 should be visited before node5\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node27\nnode 22 should be visited before node25\nnode 22 should be visited before node23\nnode 22 should be visited before node0\nnode 23 should be visited before node28\nnode 23 should be visited before node7\nnode 23 should be visited before node0\nnode 24 should be visited before node23\nnode 24 should be visited before node28\nnode 25 should be visited before node28\nnode 25 should be visited before node7\nnode 26 should be visited before node21\nnode 26 should be visited before node2\nnode 26 should be visited before node15\nnode 26 should be visited before node17\nnode 26 should be visited before node12\nnode 26 should be visited before node3\nnode 26 should be visited before node13\nnode 26 should be visited before node9\nnode 26 should be visited before node19\nnode 26 should be visited before node4\nnode 26 should be visited before node27\nnode 26 should be visited before node18\nnode 26 should be visited before node23\nnode 26 should be visited before node7\nnode 26 should be visited before node0\nnode 27 should be visited before node20\nnode 27 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,22,11,1,8,26,21,14,2,15,17,6,12,3,10,13,9,5,19,4,25,27,18,20,24,23,28,7,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph816",
        "image": "data/topology/graph_visual/hard/graph816.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node4\nnode 0 should be visited before node11\nnode 0 should be visited before node7\nnode 0 should be visited before node26\nnode 0 should be visited before node13\nnode 0 should be visited before node5\nnode 0 should be visited before node29\nnode 1 should be visited before node13\nnode 1 should be visited before node12\nnode 1 should be visited before node29\nnode 2 should be visited before node8\nnode 2 should be visited before node23\nnode 2 should be visited before node11\nnode 2 should be visited before node7\nnode 2 should be visited before node26\nnode 3 should be visited before node27\nnode 3 should be visited before node25\nnode 3 should be visited before node31\nnode 3 should be visited before node14\nnode 3 should be visited before node20\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 3 should be visited before node26\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node12\nnode 3 should be visited before node29\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node26\nnode 4 should be visited before node1\nnode 4 should be visited before node13\nnode 4 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node20\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node4\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node26\nnode 6 should be visited before node1\nnode 6 should be visited before node13\nnode 7 should be visited before node26\nnode 7 should be visited before node1\nnode 8 should be visited before node0\nnode 8 should be visited before node4\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node26\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node29\nnode 9 should be visited before node2\nnode 9 should be visited before node8\nnode 9 should be visited before node23\nnode 9 should be visited before node4\nnode 9 should be visited before node26\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node12\nnode 9 should be visited before node29\nnode 10 should be visited before node17\nnode 10 should be visited before node24\nnode 10 should be visited before node16\nnode 10 should be visited before node21\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node25\nnode 10 should be visited before node23\nnode 10 should be visited before node4\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node29\nnode 11 should be visited before node7\nnode 11 should be visited before node5\nnode 11 should be visited before node12\nnode 11 should be visited before node29\nnode 12 should be visited before node29\nnode 13 should be visited before node29\nnode 14 should be visited before node9\nnode 14 should be visited before node20\nnode 14 should be visited before node2\nnode 14 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node5\nnode 15 should be visited before node10\nnode 15 should be visited before node28\nnode 15 should be visited before node24\nnode 15 should be visited before node18\nnode 15 should be visited before node21\nnode 15 should be visited before node20\nnode 15 should be visited before node23\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node5\nnode 16 should be visited before node18\nnode 16 should be visited before node21\nnode 16 should be visited before node30\nnode 16 should be visited before node6\nnode 16 should be visited before node25\nnode 16 should be visited before node31\nnode 16 should be visited before node14\nnode 16 should be visited before node9\nnode 16 should be visited before node20\nnode 16 should be visited before node0\nnode 16 should be visited before node23\nnode 16 should be visited before node11\nnode 16 should be visited before node26\nnode 16 should be visited before node1\nnode 16 should be visited before node12\nnode 16 should be visited before node29\nnode 17 should be visited before node24\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node21\nnode 17 should be visited before node30\nnode 17 should be visited before node3\nnode 17 should be visited before node31\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 17 should be visited before node8\nnode 17 should be visited before node11\nnode 17 should be visited before node1\nnode 17 should be visited before node5\nnode 17 should be visited before node12\nnode 17 should be visited before node29\nnode 18 should be visited before node21\nnode 18 should be visited before node6\nnode 18 should be visited before node3\nnode 18 should be visited before node9\nnode 18 should be visited before node2\nnode 18 should be visited before node0\nnode 18 should be visited before node23\nnode 18 should be visited before node4\nnode 18 should be visited before node11\nnode 18 should be visited before node7\nnode 18 should be visited before node26\nnode 18 should be visited before node1\nnode 18 should be visited before node13\nnode 18 should be visited before node12\nnode 19 should be visited before node10\nnode 19 should be visited before node17\nnode 19 should be visited before node24\nnode 19 should be visited before node18\nnode 19 should be visited before node6\nnode 19 should be visited before node3\nnode 19 should be visited before node25\nnode 19 should be visited before node31\nnode 19 should be visited before node8\nnode 19 should be visited before node23\nnode 19 should be visited before node4\nnode 19 should be visited before node11\nnode 19 should be visited before node26\nnode 19 should be visited before node13\nnode 19 should be visited before node5\nnode 19 should be visited before node12\nnode 20 should be visited before node23\nnode 20 should be visited before node7\nnode 20 should be visited before node1\nnode 20 should be visited before node5\nnode 20 should be visited before node12\nnode 21 should be visited before node27\nnode 21 should be visited before node14\nnode 21 should be visited before node9\nnode 21 should be visited before node2\nnode 21 should be visited before node0\nnode 21 should be visited before node23\nnode 21 should be visited before node4\nnode 21 should be visited before node11\nnode 21 should be visited before node7\nnode 21 should be visited before node1\nnode 21 should be visited before node12\nnode 22 should be visited before node19\nnode 22 should be visited before node24\nnode 22 should be visited before node18\nnode 22 should be visited before node21\nnode 22 should be visited before node6\nnode 22 should be visited before node3\nnode 22 should be visited before node25\nnode 22 should be visited before node9\nnode 22 should be visited before node8\nnode 22 should be visited before node23\nnode 22 should be visited before node11\nnode 22 should be visited before node26\nnode 22 should be visited before node1\nnode 22 should be visited before node13\nnode 22 should be visited before node5\nnode 22 should be visited before node29\nnode 23 should be visited before node26\nnode 23 should be visited before node13\nnode 23 should be visited before node5\nnode 24 should be visited before node16\nnode 24 should be visited before node30\nnode 24 should be visited before node6\nnode 24 should be visited before node27\nnode 24 should be visited before node9\nnode 24 should be visited before node2\nnode 24 should be visited before node0\nnode 24 should be visited before node11\nnode 24 should be visited before node7\nnode 24 should be visited before node1\nnode 24 should be visited before node12\nnode 25 should be visited before node31\nnode 25 should be visited before node14\nnode 25 should be visited before node9\nnode 25 should be visited before node0\nnode 25 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node7\nnode 25 should be visited before node26\nnode 25 should be visited before node1\nnode 25 should be visited before node13\nnode 25 should be visited before node5\nnode 25 should be visited before node29\nnode 26 should be visited before node13\nnode 26 should be visited before node12\nnode 26 should be visited before node29\nnode 27 should be visited before node2\nnode 27 should be visited before node8\nnode 27 should be visited before node23\nnode 27 should be visited before node4\nnode 27 should be visited before node11\nnode 27 should be visited before node7\nnode 27 should be visited before node26\nnode 27 should be visited before node5\nnode 28 should be visited before node17\nnode 28 should be visited before node24\nnode 28 should be visited before node18\nnode 28 should be visited before node21\nnode 28 should be visited before node30\nnode 28 should be visited before node6\nnode 28 should be visited before node20\nnode 28 should be visited before node0\nnode 28 should be visited before node7\nnode 28 should be visited before node1\nnode 28 should be visited before node29\nnode 30 should be visited before node6\nnode 30 should be visited before node3\nnode 30 should be visited before node25\nnode 30 should be visited before node31\nnode 30 should be visited before node14\nnode 30 should be visited before node20\nnode 30 should be visited before node8\nnode 30 should be visited before node0\nnode 30 should be visited before node4\nnode 30 should be visited before node11\nnode 30 should be visited before node7\nnode 30 should be visited before node26\nnode 30 should be visited before node1\nnode 30 should be visited before node13\nnode 30 should be visited before node5\nnode 30 should be visited before node29\nnode 31 should be visited before node20\nnode 31 should be visited before node2\nnode 31 should be visited before node8\nnode 31 should be visited before node0\nnode 31 should be visited before node23\nnode 31 should be visited before node26\nnode 31 should be visited before node5\nnode 31 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,22,28,19,10,17,24,16,18,30,21,6,3,27,25,31,14,9,20,2,8,23,0,4,11,7,5,26,1,13,12,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph24",
        "image": "data/topology/graph_visual/hard/graph24.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node15\nnode 2 should be visited before node15\nnode 3 should be visited before node21\nnode 4 should be visited before node6\nnode 4 should be visited before node17\nnode 4 should be visited before node22\nnode 4 should be visited before node11\nnode 4 should be visited before node14\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node15\nnode 4 should be visited before node21\nnode 5 should be visited before node21\nnode 6 should be visited before node12\nnode 6 should be visited before node20\nnode 6 should be visited before node18\nnode 6 should be visited before node14\nnode 6 should be visited before node23\nnode 6 should be visited before node25\nnode 6 should be visited before node24\nnode 6 should be visited before node8\nnode 6 should be visited before node16\nnode 6 should be visited before node5\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node15\nnode 7 should be visited before node1\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node3\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node15\nnode 9 should be visited before node16\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node19\nnode 9 should be visited before node21\nnode 10 should be visited before node18\nnode 10 should be visited before node25\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 11 should be visited before node23\nnode 11 should be visited before node8\nnode 11 should be visited before node16\nnode 11 should be visited before node1\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 12 should be visited before node22\nnode 12 should be visited before node14\nnode 12 should be visited before node13\nnode 12 should be visited before node7\nnode 12 should be visited before node15\nnode 14 should be visited before node1\nnode 14 should be visited before node3\nnode 15 should be visited before node21\nnode 16 should be visited before node5\nnode 16 should be visited before node3\nnode 16 should be visited before node19\nnode 16 should be visited before node21\nnode 17 should be visited before node20\nnode 17 should be visited before node14\nnode 17 should be visited before node25\nnode 17 should be visited before node24\nnode 17 should be visited before node8\nnode 17 should be visited before node5\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 18 should be visited before node14\nnode 18 should be visited before node8\nnode 18 should be visited before node5\nnode 18 should be visited before node7\nnode 20 should be visited before node14\nnode 20 should be visited before node25\nnode 20 should be visited before node8\nnode 20 should be visited before node3\nnode 20 should be visited before node2\nnode 22 should be visited before node18\nnode 22 should be visited before node23\nnode 22 should be visited before node25\nnode 22 should be visited before node13\nnode 22 should be visited before node8\nnode 22 should be visited before node3\nnode 22 should be visited before node2\nnode 23 should be visited before node8\nnode 23 should be visited before node16\nnode 23 should be visited before node5\nnode 23 should be visited before node3\nnode 23 should be visited before node2\nnode 23 should be visited before node0\nnode 24 should be visited before node0\nnode 24 should be visited before node19\nnode 25 should be visited before node19\nnode 25 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,9,10,6,17,11,12,20,24,22,18,23,25,13,14,7,8,16,1,2,0,5,3,19,15,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph1064",
        "image": "data/topology/graph_visual/hard/graph1064.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node30\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node12\nnode 0 should be visited before node33\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 2 should be visited before node18\nnode 2 should be visited before node7\nnode 2 should be visited before node23\nnode 2 should be visited before node3\nnode 2 should be visited before node12\nnode 2 should be visited before node24\nnode 2 should be visited before node33\nnode 2 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node33\nnode 3 should be visited before node20\nnode 3 should be visited before node6\nnode 4 should be visited before node31\nnode 4 should be visited before node12\nnode 4 should be visited before node24\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node15\nnode 7 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node31\nnode 7 should be visited before node24\nnode 7 should be visited before node10\nnode 7 should be visited before node20\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 8 should be visited before node33\nnode 8 should be visited before node10\nnode 8 should be visited before node20\nnode 8 should be visited before node1\nnode 8 should be visited before node5\nnode 9 should be visited before node28\nnode 9 should be visited before node25\nnode 9 should be visited before node21\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node23\nnode 9 should be visited before node3\nnode 9 should be visited before node24\nnode 9 should be visited before node10\nnode 9 should be visited before node20\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 10 should be visited before node1\nnode 10 should be visited before node5\nnode 11 should be visited before node28\nnode 11 should be visited before node0\nnode 11 should be visited before node21\nnode 11 should be visited before node18\nnode 11 should be visited before node7\nnode 11 should be visited before node30\nnode 11 should be visited before node13\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node31\nnode 11 should be visited before node12\nnode 11 should be visited before node8\nnode 11 should be visited before node24\nnode 11 should be visited before node10\nnode 11 should be visited before node20\nnode 11 should be visited before node1\nnode 12 should be visited before node20\nnode 12 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node6\nnode 13 should be visited before node15\nnode 13 should be visited before node4\nnode 13 should be visited before node31\nnode 13 should be visited before node24\nnode 13 should be visited before node10\nnode 13 should be visited before node20\nnode 13 should be visited before node1\nnode 13 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node4\nnode 14 should be visited before node12\nnode 14 should be visited before node24\nnode 14 should be visited before node33\nnode 14 should be visited before node20\nnode 14 should be visited before node6\nnode 15 should be visited before node3\nnode 15 should be visited before node31\nnode 15 should be visited before node12\nnode 15 should be visited before node33\nnode 15 should be visited before node1\nnode 16 should be visited before node28\nnode 16 should be visited before node29\nnode 16 should be visited before node25\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 16 should be visited before node18\nnode 16 should be visited before node15\nnode 16 should be visited before node4\nnode 16 should be visited before node31\nnode 16 should be visited before node12\nnode 16 should be visited before node5\nnode 17 should be visited before node15\nnode 17 should be visited before node3\nnode 17 should be visited before node4\nnode 17 should be visited before node12\nnode 17 should be visited before node8\nnode 17 should be visited before node24\nnode 17 should be visited before node10\nnode 17 should be visited before node20\nnode 18 should be visited before node7\nnode 18 should be visited before node14\nnode 18 should be visited before node15\nnode 18 should be visited before node4\nnode 18 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node10\nnode 18 should be visited before node1\nnode 18 should be visited before node6\nnode 19 should be visited before node29\nnode 19 should be visited before node2\nnode 19 should be visited before node18\nnode 19 should be visited before node30\nnode 19 should be visited before node3\nnode 19 should be visited before node8\nnode 19 should be visited before node10\nnode 19 should be visited before node5\nnode 20 should be visited before node1\nnode 20 should be visited before node5\nnode 20 should be visited before node6\nnode 21 should be visited before node17\nnode 21 should be visited before node13\nnode 21 should be visited before node14\nnode 21 should be visited before node15\nnode 21 should be visited before node12\nnode 21 should be visited before node24\nnode 21 should be visited before node20\nnode 22 should be visited before node26\nnode 22 should be visited before node9\nnode 22 should be visited before node28\nnode 22 should be visited before node19\nnode 22 should be visited before node25\nnode 22 should be visited before node18\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 22 should be visited before node15\nnode 22 should be visited before node4\nnode 22 should be visited before node31\nnode 22 should be visited before node12\nnode 22 should be visited before node8\nnode 22 should be visited before node24\nnode 22 should be visited before node20\nnode 23 should be visited before node13\nnode 23 should be visited before node3\nnode 23 should be visited before node31\nnode 23 should be visited before node8\nnode 23 should be visited before node24\nnode 23 should be visited before node10\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 23 should be visited before node6\nnode 24 should be visited before node33\nnode 24 should be visited before node10\nnode 24 should be visited before node20\nnode 25 should be visited before node2\nnode 25 should be visited before node18\nnode 25 should be visited before node7\nnode 25 should be visited before node14\nnode 25 should be visited before node3\nnode 25 should be visited before node12\nnode 25 should be visited before node24\nnode 25 should be visited before node10\nnode 25 should be visited before node1\nnode 25 should be visited before node5\nnode 25 should be visited before node6\nnode 26 should be visited before node28\nnode 26 should be visited before node29\nnode 26 should be visited before node25\nnode 26 should be visited before node0\nnode 26 should be visited before node21\nnode 26 should be visited before node30\nnode 26 should be visited before node13\nnode 26 should be visited before node14\nnode 26 should be visited before node15\nnode 26 should be visited before node4\nnode 26 should be visited before node31\nnode 26 should be visited before node12\nnode 26 should be visited before node8\nnode 26 should be visited before node33\nnode 26 should be visited before node20\nnode 26 should be visited before node1\nnode 26 should be visited before node5\nnode 27 should be visited before node16\nnode 27 should be visited before node11\nnode 27 should be visited before node28\nnode 27 should be visited before node19\nnode 27 should be visited before node29\nnode 27 should be visited before node0\nnode 27 should be visited before node2\nnode 27 should be visited before node23\nnode 27 should be visited before node13\nnode 27 should be visited before node3\nnode 27 should be visited before node4\nnode 27 should be visited before node12\nnode 27 should be visited before node8\nnode 27 should be visited before node24\nnode 27 should be visited before node33\nnode 27 should be visited before node20\nnode 27 should be visited before node5\nnode 27 should be visited before node6\nnode 28 should be visited before node29\nnode 28 should be visited before node2\nnode 28 should be visited before node21\nnode 28 should be visited before node7\nnode 28 should be visited before node23\nnode 28 should be visited before node14\nnode 28 should be visited before node3\nnode 28 should be visited before node12\nnode 28 should be visited before node8\nnode 28 should be visited before node24\nnode 28 should be visited before node6\nnode 29 should be visited before node0\nnode 29 should be visited before node2\nnode 29 should be visited before node18\nnode 29 should be visited before node7\nnode 29 should be visited before node30\nnode 29 should be visited before node13\nnode 29 should be visited before node3\nnode 29 should be visited before node4\nnode 29 should be visited before node31\nnode 29 should be visited before node12\nnode 29 should be visited before node8\nnode 29 should be visited before node33\nnode 29 should be visited before node20\nnode 29 should be visited before node1\nnode 29 should be visited before node6\nnode 30 should be visited before node23\nnode 30 should be visited before node15\nnode 30 should be visited before node4\nnode 30 should be visited before node31\nnode 30 should be visited before node12\nnode 30 should be visited before node20\nnode 30 should be visited before node1\nnode 30 should be visited before node6\nnode 31 should be visited before node8\nnode 31 should be visited before node24\nnode 31 should be visited before node10\nnode 31 should be visited before node20\nnode 31 should be visited before node5\nnode 32 should be visited before node26\nnode 32 should be visited before node27\nnode 32 should be visited before node9\nnode 32 should be visited before node16\nnode 32 should be visited before node28\nnode 32 should be visited before node25\nnode 32 should be visited before node0\nnode 32 should be visited before node21\nnode 32 should be visited before node18\nnode 32 should be visited before node30\nnode 32 should be visited before node17\nnode 32 should be visited before node23\nnode 32 should be visited before node14\nnode 32 should be visited before node31\nnode 32 should be visited before node33\nnode 32 should be visited before node5\nnode 32 should be visited before node6\nnode 33 should be visited before node20\nnode 33 should be visited before node1\nnode 33 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "22,32,26,27,9,16,11,19,25,28,29,21,0,17,2,30,18,23,7,13,14,15,3,4,31,12,8,24,33,10,20,1,5,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph525",
        "image": "data/topology/graph_visual/hard/graph525.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node19\nnode 0 should be visited before node8\nnode 0 should be visited before node23\nnode 0 should be visited before node20\nnode 0 should be visited before node3\nnode 0 should be visited before node27\nnode 0 should be visited before node13\nnode 0 should be visited before node24\nnode 1 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node24\nnode 1 should be visited before node26\nnode 3 should be visited before node11\nnode 3 should be visited before node26\nnode 3 should be visited before node17\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 5 should be visited before node21\nnode 5 should be visited before node20\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node17\nnode 6 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node17\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node1\nnode 9 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node5\nnode 10 should be visited before node18\nnode 10 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 10 should be visited before node6\nnode 10 should be visited before node24\nnode 10 should be visited before node26\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 11 should be visited before node7\nnode 12 should be visited before node29\nnode 12 should be visited before node25\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node18\nnode 12 should be visited before node23\nnode 12 should be visited before node17\nnode 13 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node6\nnode 14 should be visited before node24\nnode 14 should be visited before node26\nnode 14 should be visited before node4\nnode 15 should be visited before node28\nnode 15 should be visited before node0\nnode 15 should be visited before node8\nnode 15 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node28\nnode 16 should be visited before node22\nnode 16 should be visited before node21\nnode 16 should be visited before node20\nnode 16 should be visited before node13\nnode 16 should be visited before node26\nnode 16 should be visited before node17\nnode 17 should be visited before node2\nnode 18 should be visited before node0\nnode 18 should be visited before node14\nnode 18 should be visited before node20\nnode 18 should be visited before node11\nnode 18 should be visited before node26\nnode 18 should be visited before node7\nnode 19 should be visited before node23\nnode 19 should be visited before node13\nnode 19 should be visited before node24\nnode 19 should be visited before node26\nnode 19 should be visited before node7\nnode 19 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node27\nnode 20 should be visited before node11\nnode 20 should be visited before node17\nnode 20 should be visited before node4\nnode 21 should be visited before node14\nnode 21 should be visited before node19\nnode 21 should be visited before node27\nnode 21 should be visited before node1\nnode 21 should be visited before node6\nnode 21 should be visited before node24\nnode 21 should be visited before node26\nnode 21 should be visited before node2\nnode 22 should be visited before node18\nnode 22 should be visited before node21\nnode 22 should be visited before node14\nnode 22 should be visited before node19\nnode 22 should be visited before node27\nnode 22 should be visited before node1\nnode 22 should be visited before node13\nnode 22 should be visited before node6\nnode 22 should be visited before node26\nnode 22 should be visited before node7\nnode 23 should be visited before node20\nnode 23 should be visited before node13\nnode 23 should be visited before node6\nnode 23 should be visited before node26\nnode 23 should be visited before node7\nnode 24 should be visited before node17\nnode 24 should be visited before node2\nnode 25 should be visited before node28\nnode 25 should be visited before node3\nnode 25 should be visited before node27\nnode 25 should be visited before node17\nnode 25 should be visited before node7\nnode 27 should be visited before node13\nnode 27 should be visited before node6\nnode 28 should be visited before node22\nnode 28 should be visited before node21\nnode 28 should be visited before node11\nnode 28 should be visited before node24\nnode 29 should be visited before node5\nnode 29 should be visited before node9\nnode 29 should be visited before node15\nnode 29 should be visited before node21\nnode 29 should be visited before node0\nnode 29 should be visited before node19\nnode 29 should be visited before node8\nnode 29 should be visited before node23\nnode 29 should be visited before node20\nnode 29 should be visited before node27\nnode 29 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,12,16,29,25,5,9,15,28,22,18,21,0,14,1,19,8,23,24,20,3,27,11,26,17,13,2,6,7,4."
            }
        ]
    },
    {
        "id": "topology-hard-graph815",
        "image": "data/topology/graph_visual/hard/graph815.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node30\nnode 0 should be visited before node9\nnode 0 should be visited before node2\nnode 0 should be visited before node20\nnode 0 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node19\nnode 1 should be visited before node30\nnode 1 should be visited before node23\nnode 1 should be visited before node20\nnode 1 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node27\nnode 2 should be visited before node20\nnode 2 should be visited before node18\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node26\nnode 3 should be visited before node2\nnode 3 should be visited before node23\nnode 3 should be visited before node4\nnode 3 should be visited before node20\nnode 4 should be visited before node27\nnode 4 should be visited before node18\nnode 5 should be visited before node16\nnode 5 should be visited before node29\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node8\nnode 5 should be visited before node22\nnode 5 should be visited before node23\nnode 5 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node19\nnode 6 should be visited before node4\nnode 6 should be visited before node20\nnode 6 should be visited before node14\nnode 7 should be visited before node12\nnode 7 should be visited before node8\nnode 7 should be visited before node22\nnode 7 should be visited before node19\nnode 7 should be visited before node30\nnode 7 should be visited before node9\nnode 7 should be visited before node2\nnode 7 should be visited before node23\nnode 7 should be visited before node13\nnode 7 should be visited before node27\nnode 7 should be visited before node18\nnode 7 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node30\nnode 8 should be visited before node9\nnode 8 should be visited before node23\nnode 8 should be visited before node13\nnode 8 should be visited before node18\nnode 8 should be visited before node14\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 9 should be visited before node27\nnode 9 should be visited before node20\nnode 9 should be visited before node14\nnode 10 should be visited before node21\nnode 10 should be visited before node16\nnode 10 should be visited before node29\nnode 10 should be visited before node1\nnode 10 should be visited before node3\nnode 10 should be visited before node15\nnode 10 should be visited before node22\nnode 10 should be visited before node0\nnode 10 should be visited before node26\nnode 10 should be visited before node19\nnode 10 should be visited before node2\nnode 10 should be visited before node23\nnode 10 should be visited before node4\nnode 10 should be visited before node18\nnode 11 should be visited before node16\nnode 11 should be visited before node12\nnode 11 should be visited before node15\nnode 11 should be visited before node22\nnode 11 should be visited before node0\nnode 11 should be visited before node9\nnode 11 should be visited before node23\nnode 11 should be visited before node4\nnode 11 should be visited before node14\nnode 12 should be visited before node22\nnode 12 should be visited before node26\nnode 12 should be visited before node19\nnode 12 should be visited before node13\nnode 12 should be visited before node4\nnode 12 should be visited before node27\nnode 12 should be visited before node14\nnode 13 should be visited before node20\nnode 13 should be visited before node14\nnode 15 should be visited before node0\nnode 15 should be visited before node26\nnode 15 should be visited before node30\nnode 15 should be visited before node9\nnode 15 should be visited before node13\nnode 15 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node26\nnode 16 should be visited before node19\nnode 16 should be visited before node30\nnode 16 should be visited before node9\nnode 16 should be visited before node2\nnode 16 should be visited before node23\nnode 16 should be visited before node18\nnode 16 should be visited before node14\nnode 17 should be visited before node31\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node1\nnode 17 should be visited before node3\nnode 17 should be visited before node22\nnode 17 should be visited before node19\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 17 should be visited before node4\nnode 17 should be visited before node27\nnode 17 should be visited before node18\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 20 should be visited before node18\nnode 21 should be visited before node25\nnode 21 should be visited before node16\nnode 21 should be visited before node29\nnode 21 should be visited before node7\nnode 21 should be visited before node12\nnode 21 should be visited before node15\nnode 21 should be visited before node8\nnode 21 should be visited before node22\nnode 21 should be visited before node0\nnode 21 should be visited before node26\nnode 21 should be visited before node19\nnode 21 should be visited before node9\nnode 21 should be visited before node2\nnode 21 should be visited before node13\nnode 21 should be visited before node20\nnode 21 should be visited before node14\nnode 22 should be visited before node0\nnode 22 should be visited before node26\nnode 22 should be visited before node30\nnode 22 should be visited before node23\nnode 22 should be visited before node4\nnode 22 should be visited before node27\nnode 23 should be visited before node13\nnode 23 should be visited before node20\nnode 24 should be visited before node21\nnode 24 should be visited before node25\nnode 24 should be visited before node5\nnode 24 should be visited before node3\nnode 24 should be visited before node6\nnode 24 should be visited before node0\nnode 24 should be visited before node2\nnode 24 should be visited before node23\nnode 24 should be visited before node13\nnode 24 should be visited before node27\nnode 24 should be visited before node18\nnode 24 should be visited before node14\nnode 25 should be visited before node16\nnode 25 should be visited before node29\nnode 25 should be visited before node6\nnode 25 should be visited before node30\nnode 25 should be visited before node9\nnode 25 should be visited before node2\nnode 25 should be visited before node4\nnode 25 should be visited before node27\nnode 25 should be visited before node14\nnode 26 should be visited before node30\nnode 26 should be visited before node9\nnode 26 should be visited before node23\nnode 26 should be visited before node13\nnode 26 should be visited before node4\nnode 26 should be visited before node27\nnode 26 should be visited before node20\nnode 26 should be visited before node18\nnode 26 should be visited before node14\nnode 27 should be visited before node14\nnode 28 should be visited before node24\nnode 28 should be visited before node10\nnode 28 should be visited before node21\nnode 28 should be visited before node11\nnode 28 should be visited before node29\nnode 28 should be visited before node3\nnode 28 should be visited before node7\nnode 28 should be visited before node15\nnode 28 should be visited before node8\nnode 28 should be visited before node30\nnode 28 should be visited before node9\nnode 28 should be visited before node27\nnode 28 should be visited before node20\nnode 28 should be visited before node18\nnode 29 should be visited before node3\nnode 29 should be visited before node7\nnode 29 should be visited before node12\nnode 29 should be visited before node8\nnode 29 should be visited before node6\nnode 29 should be visited before node19\nnode 29 should be visited before node9\nnode 29 should be visited before node4\nnode 29 should be visited before node14\nnode 30 should be visited before node27\nnode 30 should be visited before node14\nnode 31 should be visited before node21\nnode 31 should be visited before node11\nnode 31 should be visited before node5\nnode 31 should be visited before node16\nnode 31 should be visited before node1\nnode 31 should be visited before node15\nnode 31 should be visited before node6\nnode 31 should be visited before node9\nnode 31 should be visited before node13\nnode 31 should be visited before node27\nnode 31 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,28,31,24,10,11,5,21,25,16,29,1,3,7,15,6,12,8,22,19,0,26,2,30,9,23,4,13,27,20,14,18."
            }
        ]
    },
    {
        "id": "topology-hard-graph82",
        "image": "data/topology/graph_visual/hard/graph82.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node24\nnode 0 should be visited before node14\nnode 1 should be visited before node24\nnode 2 should be visited before node17\nnode 2 should be visited before node16\nnode 2 should be visited before node18\nnode 2 should be visited before node15\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node1\nnode 2 should be visited before node24\nnode 2 should be visited before node9\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 4 should be visited before node0\nnode 4 should be visited before node16\nnode 4 should be visited before node23\nnode 4 should be visited before node6\nnode 4 should be visited before node5\nnode 4 should be visited before node1\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node9\nnode 6 should be visited before node24\nnode 7 should be visited before node25\nnode 7 should be visited before node19\nnode 7 should be visited before node8\nnode 7 should be visited before node2\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node16\nnode 7 should be visited before node23\nnode 7 should be visited before node15\nnode 7 should be visited before node5\nnode 7 should be visited before node24\nnode 8 should be visited before node20\nnode 8 should be visited before node17\nnode 8 should be visited before node16\nnode 8 should be visited before node23\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node25\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 10 should be visited before node23\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node1\nnode 10 should be visited before node24\nnode 10 should be visited before node14\nnode 10 should be visited before node9\nnode 11 should be visited before node21\nnode 11 should be visited before node12\nnode 11 should be visited before node25\nnode 11 should be visited before node0\nnode 11 should be visited before node23\nnode 11 should be visited before node3\nnode 11 should be visited before node24\nnode 11 should be visited before node9\nnode 12 should be visited before node2\nnode 12 should be visited before node17\nnode 12 should be visited before node16\nnode 12 should be visited before node18\nnode 12 should be visited before node23\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node14\nnode 12 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node25\nnode 13 should be visited before node4\nnode 13 should be visited before node17\nnode 13 should be visited before node0\nnode 13 should be visited before node3\nnode 13 should be visited before node6\nnode 13 should be visited before node14\nnode 13 should be visited before node9\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 15 should be visited before node1\nnode 15 should be visited before node24\nnode 15 should be visited before node9\nnode 16 should be visited before node23\nnode 16 should be visited before node15\nnode 16 should be visited before node3\nnode 16 should be visited before node5\nnode 16 should be visited before node14\nnode 16 should be visited before node9\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node23\nnode 17 should be visited before node15\nnode 17 should be visited before node5\nnode 17 should be visited before node1\nnode 17 should be visited before node24\nnode 17 should be visited before node9\nnode 18 should be visited before node23\nnode 18 should be visited before node3\nnode 18 should be visited before node5\nnode 18 should be visited before node1\nnode 18 should be visited before node14\nnode 18 should be visited before node9\nnode 19 should be visited before node4\nnode 19 should be visited before node0\nnode 19 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node5\nnode 19 should be visited before node1\nnode 19 should be visited before node24\nnode 19 should be visited before node14\nnode 19 should be visited before node9\nnode 20 should be visited before node18\nnode 20 should be visited before node3\nnode 20 should be visited before node5\nnode 20 should be visited before node14\nnode 20 should be visited before node9\nnode 21 should be visited before node13\nnode 21 should be visited before node7\nnode 21 should be visited before node8\nnode 21 should be visited before node4\nnode 21 should be visited before node20\nnode 21 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node16\nnode 21 should be visited before node23\nnode 21 should be visited before node15\nnode 21 should be visited before node6\nnode 21 should be visited before node1\nnode 21 should be visited before node14\nnode 21 should be visited before node9\nnode 22 should be visited before node11\nnode 22 should be visited before node25\nnode 22 should be visited before node8\nnode 22 should be visited before node17\nnode 22 should be visited before node16\nnode 22 should be visited before node18\nnode 22 should be visited before node23\nnode 22 should be visited before node5\nnode 22 should be visited before node1\nnode 22 should be visited before node9\nnode 23 should be visited before node15\nnode 23 should be visited before node3\nnode 23 should be visited before node6\nnode 23 should be visited before node14\nnode 24 should be visited before node14\nnode 25 should be visited before node19\nnode 25 should be visited before node17\nnode 25 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "22,11,21,13,7,10,8,12,25,20,2,19,17,4,0,16,18,23,15,3,6,5,1,9,24,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph1155",
        "image": "data/topology/graph_visual/hard/graph1155.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node2\nnode 0 should be visited before node16\nnode 0 should be visited before node27\nnode 0 should be visited before node9\nnode 0 should be visited before node22\nnode 0 should be visited before node25\nnode 0 should be visited before node23\nnode 0 should be visited before node34\nnode 0 should be visited before node21\nnode 0 should be visited before node18\nnode 1 should be visited before node6\nnode 1 should be visited before node20\nnode 1 should be visited before node15\nnode 1 should be visited before node0\nnode 1 should be visited before node24\nnode 1 should be visited before node9\nnode 1 should be visited before node25\nnode 1 should be visited before node14\nnode 1 should be visited before node21\nnode 2 should be visited before node24\nnode 2 should be visited before node28\nnode 2 should be visited before node27\nnode 2 should be visited before node22\nnode 3 should be visited before node13\nnode 3 should be visited before node32\nnode 3 should be visited before node19\nnode 3 should be visited before node26\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node20\nnode 3 should be visited before node27\nnode 3 should be visited before node9\nnode 3 should be visited before node22\nnode 3 should be visited before node23\nnode 3 should be visited before node21\nnode 3 should be visited before node18\nnode 3 should be visited before node31\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 4 should be visited before node10\nnode 4 should be visited before node32\nnode 4 should be visited before node30\nnode 4 should be visited before node26\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node2\nnode 4 should be visited before node24\nnode 4 should be visited before node22\nnode 4 should be visited before node25\nnode 4 should be visited before node14\nnode 4 should be visited before node23\nnode 4 should be visited before node34\nnode 4 should be visited before node21\nnode 4 should be visited before node31\nnode 5 should be visited before node8\nnode 5 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node32\nnode 5 should be visited before node1\nnode 5 should be visited before node6\nnode 5 should be visited before node15\nnode 5 should be visited before node0\nnode 5 should be visited before node28\nnode 5 should be visited before node27\nnode 5 should be visited before node9\nnode 5 should be visited before node14\nnode 5 should be visited before node23\nnode 5 should be visited before node31\nnode 6 should be visited before node20\nnode 6 should be visited before node2\nnode 6 should be visited before node16\nnode 6 should be visited before node27\nnode 6 should be visited before node9\nnode 6 should be visited before node25\nnode 6 should be visited before node23\nnode 6 should be visited before node18\nnode 6 should be visited before node31\nnode 7 should be visited before node4\nnode 7 should be visited before node17\nnode 7 should be visited before node10\nnode 7 should be visited before node32\nnode 7 should be visited before node30\nnode 7 should be visited before node19\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node14\nnode 7 should be visited before node34\nnode 7 should be visited before node21\nnode 8 should be visited before node29\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node3\nnode 8 should be visited before node4\nnode 8 should be visited before node17\nnode 8 should be visited before node12\nnode 8 should be visited before node30\nnode 8 should be visited before node26\nnode 8 should be visited before node20\nnode 8 should be visited before node15\nnode 8 should be visited before node0\nnode 8 should be visited before node24\nnode 8 should be visited before node28\nnode 8 should be visited before node27\nnode 8 should be visited before node9\nnode 8 should be visited before node22\nnode 8 should be visited before node25\nnode 8 should be visited before node21\nnode 8 should be visited before node31\nnode 9 should be visited before node22\nnode 9 should be visited before node23\nnode 9 should be visited before node18\nnode 9 should be visited before node31\nnode 10 should be visited before node12\nnode 10 should be visited before node26\nnode 10 should be visited before node20\nnode 10 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node28\nnode 10 should be visited before node16\nnode 10 should be visited before node27\nnode 10 should be visited before node9\nnode 10 should be visited before node25\nnode 10 should be visited before node14\nnode 10 should be visited before node21\nnode 10 should be visited before node31\nnode 11 should be visited before node3\nnode 11 should be visited before node19\nnode 11 should be visited before node1\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 11 should be visited before node24\nnode 11 should be visited before node28\nnode 11 should be visited before node22\nnode 11 should be visited before node23\nnode 12 should be visited before node32\nnode 12 should be visited before node30\nnode 12 should be visited before node19\nnode 12 should be visited before node6\nnode 12 should be visited before node20\nnode 12 should be visited before node15\nnode 12 should be visited before node24\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node22\nnode 12 should be visited before node34\nnode 13 should be visited before node10\nnode 13 should be visited before node30\nnode 13 should be visited before node1\nnode 13 should be visited before node6\nnode 13 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node16\nnode 13 should be visited before node27\nnode 13 should be visited before node21\nnode 13 should be visited before node31\nnode 14 should be visited before node31\nnode 15 should be visited before node0\nnode 15 should be visited before node2\nnode 15 should be visited before node27\nnode 15 should be visited before node25\nnode 15 should be visited before node23\nnode 15 should be visited before node34\nnode 15 should be visited before node21\nnode 15 should be visited before node18\nnode 16 should be visited before node27\nnode 16 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node25\nnode 16 should be visited before node14\nnode 16 should be visited before node23\nnode 16 should be visited before node34\nnode 16 should be visited before node21\nnode 16 should be visited before node18\nnode 17 should be visited before node12\nnode 17 should be visited before node32\nnode 17 should be visited before node19\nnode 17 should be visited before node26\nnode 17 should be visited before node6\nnode 17 should be visited before node2\nnode 17 should be visited before node28\nnode 17 should be visited before node27\nnode 17 should be visited before node9\nnode 17 should be visited before node22\nnode 17 should be visited before node25\nnode 17 should be visited before node23\nnode 17 should be visited before node21\nnode 17 should be visited before node31\nnode 19 should be visited before node6\nnode 19 should be visited before node15\nnode 19 should be visited before node0\nnode 19 should be visited before node28\nnode 19 should be visited before node16\nnode 19 should be visited before node27\nnode 19 should be visited before node22\nnode 19 should be visited before node25\nnode 19 should be visited before node14\nnode 19 should be visited before node34\nnode 20 should be visited before node15\nnode 20 should be visited before node0\nnode 20 should be visited before node2\nnode 20 should be visited before node24\nnode 20 should be visited before node27\nnode 20 should be visited before node9\nnode 20 should be visited before node22\nnode 20 should be visited before node14\nnode 20 should be visited before node21\nnode 20 should be visited before node18\nnode 20 should be visited before node31\nnode 22 should be visited before node25\nnode 22 should be visited before node21\nnode 22 should be visited before node18\nnode 22 should be visited before node31\nnode 23 should be visited before node34\nnode 23 should be visited before node18\nnode 24 should be visited before node16\nnode 24 should be visited before node9\nnode 24 should be visited before node23\nnode 24 should be visited before node18\nnode 24 should be visited before node31\nnode 25 should be visited before node23\nnode 25 should be visited before node21\nnode 26 should be visited before node1\nnode 26 should be visited before node20\nnode 26 should be visited before node2\nnode 26 should be visited before node24\nnode 26 should be visited before node27\nnode 26 should be visited before node14\nnode 26 should be visited before node23\nnode 26 should be visited before node21\nnode 26 should be visited before node31\nnode 27 should be visited before node9\nnode 27 should be visited before node34\nnode 28 should be visited before node16\nnode 28 should be visited before node27\nnode 28 should be visited before node22\nnode 28 should be visited before node25\nnode 28 should be visited before node14\nnode 28 should be visited before node18\nnode 28 should be visited before node31\nnode 29 should be visited before node3\nnode 29 should be visited before node13\nnode 29 should be visited before node17\nnode 29 should be visited before node10\nnode 29 should be visited before node12\nnode 29 should be visited before node32\nnode 29 should be visited before node30\nnode 29 should be visited before node19\nnode 29 should be visited before node0\nnode 29 should be visited before node24\nnode 29 should be visited before node16\nnode 29 should be visited before node9\nnode 29 should be visited before node22\nnode 29 should be visited before node25\nnode 29 should be visited before node14\nnode 29 should be visited before node34\nnode 29 should be visited before node18\nnode 30 should be visited before node19\nnode 30 should be visited before node26\nnode 30 should be visited before node1\nnode 30 should be visited before node20\nnode 30 should be visited before node15\nnode 30 should be visited before node0\nnode 30 should be visited before node2\nnode 30 should be visited before node24\nnode 30 should be visited before node16\nnode 30 should be visited before node14\nnode 30 should be visited before node34\nnode 30 should be visited before node31\nnode 32 should be visited before node19\nnode 32 should be visited before node1\nnode 32 should be visited before node6\nnode 32 should be visited before node20\nnode 32 should be visited before node15\nnode 32 should be visited before node24\nnode 32 should be visited before node27\nnode 32 should be visited before node22\nnode 32 should be visited before node14\nnode 32 should be visited before node23\nnode 33 should be visited before node7\nnode 33 should be visited before node3\nnode 33 should be visited before node17\nnode 33 should be visited before node12\nnode 33 should be visited before node1\nnode 33 should be visited before node15\nnode 33 should be visited before node0\nnode 33 should be visited before node2\nnode 33 should be visited before node24\nnode 33 should be visited before node27\nnode 33 should be visited before node9\nnode 33 should be visited before node22\nnode 33 should be visited before node23\nnode 33 should be visited before node21\nnode 33 should be visited before node18\nnode 34 should be visited before node21\nnode 34 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,33,8,29,11,7,3,4,13,17,10,12,32,30,19,26,1,6,20,15,0,2,24,28,16,27,14,9,22,25,23,34,18,21,31."
            }
        ]
    },
    {
        "id": "topology-hard-graph220",
        "image": "data/topology/graph_visual/hard/graph220.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node26\nnode 0 should be visited before node10\nnode 0 should be visited before node21\nnode 0 should be visited before node12\nnode 0 should be visited before node6\nnode 0 should be visited before node19\nnode 0 should be visited before node1\nnode 0 should be visited before node24\nnode 0 should be visited before node20\nnode 0 should be visited before node17\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node22\nnode 1 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node23\nnode 2 should be visited before node15\nnode 2 should be visited before node13\nnode 2 should be visited before node21\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node19\nnode 2 should be visited before node1\nnode 2 should be visited before node24\nnode 2 should be visited before node18\nnode 2 should be visited before node22\nnode 2 should be visited before node20\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 3 should be visited before node23\nnode 3 should be visited before node13\nnode 3 should be visited before node21\nnode 3 should be visited before node6\nnode 3 should be visited before node19\nnode 3 should be visited before node24\nnode 3 should be visited before node18\nnode 3 should be visited before node22\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 4 should be visited before node26\nnode 4 should be visited before node23\nnode 4 should be visited before node15\nnode 4 should be visited before node21\nnode 4 should be visited before node19\nnode 4 should be visited before node1\nnode 4 should be visited before node24\nnode 4 should be visited before node22\nnode 4 should be visited before node17\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 6 should be visited before node1\nnode 6 should be visited before node9\nnode 6 should be visited before node24\nnode 6 should be visited before node18\nnode 6 should be visited before node22\nnode 6 should be visited before node20\nnode 6 should be visited before node11\nnode 7 should be visited before node17\nnode 7 should be visited before node11\nnode 9 should be visited before node24\nnode 9 should be visited before node18\nnode 9 should be visited before node20\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 10 should be visited before node2\nnode 10 should be visited before node23\nnode 10 should be visited before node13\nnode 10 should be visited before node21\nnode 10 should be visited before node12\nnode 10 should be visited before node19\nnode 10 should be visited before node24\nnode 10 should be visited before node18\nnode 10 should be visited before node17\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 12 should be visited before node6\nnode 12 should be visited before node19\nnode 12 should be visited before node1\nnode 12 should be visited before node9\nnode 13 should be visited before node21\nnode 13 should be visited before node12\nnode 13 should be visited before node6\nnode 13 should be visited before node24\nnode 13 should be visited before node18\nnode 13 should be visited before node20\nnode 13 should be visited before node7\nnode 13 should be visited before node17\nnode 13 should be visited before node8\nnode 14 should be visited before node4\nnode 14 should be visited before node0\nnode 14 should be visited before node2\nnode 14 should be visited before node3\nnode 14 should be visited before node23\nnode 14 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node22\nnode 14 should be visited before node20\nnode 14 should be visited before node11\nnode 15 should be visited before node1\nnode 15 should be visited before node9\nnode 15 should be visited before node24\nnode 15 should be visited before node22\nnode 15 should be visited before node17\nnode 15 should be visited before node5\nnode 15 should be visited before node11\nnode 16 should be visited before node26\nnode 16 should be visited before node10\nnode 16 should be visited before node3\nnode 16 should be visited before node23\nnode 16 should be visited before node15\nnode 16 should be visited before node21\nnode 16 should be visited before node12\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node1\nnode 16 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node17\nnode 16 should be visited before node8\nnode 17 should be visited before node11\nnode 17 should be visited before node8\nnode 18 should be visited before node22\nnode 18 should be visited before node7\nnode 18 should be visited before node17\nnode 19 should be visited before node1\nnode 19 should be visited before node9\nnode 19 should be visited before node24\nnode 19 should be visited before node18\nnode 19 should be visited before node20\nnode 19 should be visited before node17\nnode 19 should be visited before node8\nnode 20 should be visited before node5\nnode 20 should be visited before node8\nnode 21 should be visited before node1\nnode 21 should be visited before node18\nnode 21 should be visited before node22\nnode 21 should be visited before node7\nnode 21 should be visited before node11\nnode 21 should be visited before node8\nnode 22 should be visited before node20\nnode 22 should be visited before node7\nnode 22 should be visited before node11\nnode 22 should be visited before node8\nnode 23 should be visited before node13\nnode 23 should be visited before node12\nnode 23 should be visited before node6\nnode 23 should be visited before node19\nnode 23 should be visited before node1\nnode 23 should be visited before node24\nnode 23 should be visited before node22\nnode 23 should be visited before node20\nnode 23 should be visited before node7\nnode 23 should be visited before node8\nnode 24 should be visited before node18\nnode 24 should be visited before node7\nnode 24 should be visited before node11\nnode 24 should be visited before node8\nnode 25 should be visited before node4\nnode 25 should be visited before node0\nnode 25 should be visited before node26\nnode 25 should be visited before node10\nnode 25 should be visited before node3\nnode 25 should be visited before node23\nnode 25 should be visited before node15\nnode 25 should be visited before node13\nnode 25 should be visited before node21\nnode 25 should be visited before node6\nnode 25 should be visited before node1\nnode 25 should be visited before node20\nnode 25 should be visited before node7\nnode 25 should be visited before node17\nnode 25 should be visited before node11\nnode 25 should be visited before node8\nnode 26 should be visited before node3\nnode 26 should be visited before node23\nnode 26 should be visited before node12\nnode 26 should be visited before node19\nnode 26 should be visited before node1\nnode 26 should be visited before node9\nnode 26 should be visited before node18\nnode 26 should be visited before node17\nnode 26 should be visited before node5\nnode 26 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,16,25,4,0,26,10,2,3,15,23,13,21,12,6,19,1,9,24,18,22,20,7,5,17,11,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph899",
        "image": "data/topology/graph_visual/hard/graph899.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node8\nnode 0 should be visited before node26\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 1 should be visited before node16\nnode 2 should be visited before node20\nnode 2 should be visited before node23\nnode 2 should be visited before node11\nnode 2 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node19\nnode 2 should be visited before node8\nnode 2 should be visited before node14\nnode 2 should be visited before node17\nnode 2 should be visited before node15\nnode 2 should be visited before node1\nnode 2 should be visited before node26\nnode 3 should be visited before node24\nnode 3 should be visited before node0\nnode 3 should be visited before node22\nnode 3 should be visited before node17\nnode 3 should be visited before node25\nnode 3 should be visited before node15\nnode 3 should be visited before node31\nnode 3 should be visited before node26\nnode 5 should be visited before node9\nnode 5 should be visited before node3\nnode 5 should be visited before node24\nnode 5 should be visited before node18\nnode 5 should be visited before node25\nnode 5 should be visited before node31\nnode 6 should be visited before node17\nnode 6 should be visited before node28\nnode 6 should be visited before node7\nnode 6 should be visited before node31\nnode 6 should be visited before node4\nnode 7 should be visited before node31\nnode 7 should be visited before node26\nnode 8 should be visited before node22\nnode 8 should be visited before node17\nnode 8 should be visited before node15\nnode 9 should be visited before node24\nnode 9 should be visited before node0\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node31\nnode 9 should be visited before node16\nnode 9 should be visited before node4\nnode 10 should be visited before node2\nnode 10 should be visited before node20\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node0\nnode 10 should be visited before node17\nnode 10 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node6\nnode 11 should be visited before node17\nnode 11 should be visited before node15\nnode 11 should be visited before node4\nnode 12 should be visited before node26\nnode 12 should be visited before node16\nnode 12 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node24\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 13 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node28\nnode 13 should be visited before node31\nnode 13 should be visited before node26\nnode 14 should be visited before node6\nnode 14 should be visited before node22\nnode 15 should be visited before node16\nnode 15 should be visited before node4\nnode 17 should be visited before node25\nnode 17 should be visited before node28\nnode 17 should be visited before node15\nnode 17 should be visited before node7\nnode 18 should be visited before node19\nnode 18 should be visited before node12\nnode 18 should be visited before node14\nnode 18 should be visited before node6\nnode 18 should be visited before node28\nnode 18 should be visited before node7\nnode 18 should be visited before node26\nnode 19 should be visited before node0\nnode 19 should be visited before node8\nnode 19 should be visited before node14\nnode 19 should be visited before node17\nnode 19 should be visited before node15\nnode 19 should be visited before node1\nnode 19 should be visited before node7\nnode 19 should be visited before node31\nnode 20 should be visited before node23\nnode 20 should be visited before node12\nnode 20 should be visited before node8\nnode 20 should be visited before node6\nnode 20 should be visited before node25\nnode 20 should be visited before node28\nnode 20 should be visited before node15\nnode 20 should be visited before node4\nnode 21 should be visited before node20\nnode 21 should be visited before node3\nnode 21 should be visited before node24\nnode 21 should be visited before node12\nnode 21 should be visited before node14\nnode 21 should be visited before node22\nnode 21 should be visited before node25\nnode 21 should be visited before node15\nnode 21 should be visited before node7\nnode 21 should be visited before node31\nnode 22 should be visited before node17\nnode 22 should be visited before node15\nnode 22 should be visited before node7\nnode 23 should be visited before node9\nnode 23 should be visited before node18\nnode 23 should be visited before node19\nnode 23 should be visited before node14\nnode 23 should be visited before node6\nnode 23 should be visited before node22\nnode 23 should be visited before node17\nnode 23 should be visited before node15\nnode 24 should be visited before node18\nnode 24 should be visited before node0\nnode 24 should be visited before node8\nnode 24 should be visited before node14\nnode 24 should be visited before node17\nnode 24 should be visited before node31\nnode 24 should be visited before node26\nnode 24 should be visited before node16\nnode 24 should be visited before node4\nnode 25 should be visited before node28\nnode 25 should be visited before node4\nnode 26 should be visited before node16\nnode 27 should be visited before node11\nnode 27 should be visited before node13\nnode 27 should be visited before node24\nnode 27 should be visited before node19\nnode 27 should be visited before node4\nnode 28 should be visited before node15\nnode 28 should be visited before node7\nnode 28 should be visited before node26\nnode 28 should be visited before node16\nnode 29 should be visited before node3\nnode 29 should be visited before node19\nnode 29 should be visited before node22\nnode 29 should be visited before node28\nnode 29 should be visited before node15\nnode 29 should be visited before node4\nnode 30 should be visited before node2\nnode 30 should be visited before node20\nnode 30 should be visited before node11\nnode 30 should be visited before node13\nnode 30 should be visited before node5\nnode 30 should be visited before node29\nnode 30 should be visited before node14\nnode 30 should be visited before node17\nnode 30 should be visited before node26\nnode 31 should be visited before node4\nnode 32 should be visited before node10\nnode 32 should be visited before node5\nnode 32 should be visited before node19\nnode 32 should be visited before node12\nnode 32 should be visited before node8\nnode 32 should be visited before node17\nnode 32 should be visited before node7\nnode 32 should be visited before node31\nnode 32 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,27,30,32,29,10,5,2,20,11,23,13,3,9,24,18,19,12,0,14,1,8,6,22,17,25,28,15,7,31,26,4,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph1196",
        "image": "data/topology/graph_visual/hard/graph1196.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node4\nnode 0 should be visited before node23\nnode 0 should be visited before node24\nnode 0 should be visited before node18\nnode 0 should be visited before node25\nnode 0 should be visited before node33\nnode 0 should be visited before node19\nnode 0 should be visited before node26\nnode 0 should be visited before node10\nnode 0 should be visited before node8\nnode 0 should be visited before node7\nnode 0 should be visited before node32\nnode 0 should be visited before node9\nnode 0 should be visited before node16\nnode 1 should be visited before node31\nnode 1 should be visited before node21\nnode 1 should be visited before node20\nnode 1 should be visited before node2\nnode 1 should be visited before node23\nnode 1 should be visited before node18\nnode 1 should be visited before node13\nnode 1 should be visited before node33\nnode 1 should be visited before node19\nnode 1 should be visited before node26\nnode 1 should be visited before node5\nnode 1 should be visited before node34\nnode 1 should be visited before node7\nnode 1 should be visited before node32\nnode 1 should be visited before node9\nnode 1 should be visited before node16\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node25\nnode 2 should be visited before node33\nnode 2 should be visited before node29\nnode 2 should be visited before node15\nnode 2 should be visited before node26\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node32\nnode 2 should be visited before node9\nnode 3 should be visited before node33\nnode 3 should be visited before node29\nnode 3 should be visited before node19\nnode 3 should be visited before node26\nnode 3 should be visited before node10\nnode 3 should be visited before node8\nnode 3 should be visited before node7\nnode 4 should be visited before node27\nnode 4 should be visited before node25\nnode 4 should be visited before node33\nnode 4 should be visited before node19\nnode 4 should be visited before node26\nnode 4 should be visited before node5\nnode 4 should be visited before node34\nnode 4 should be visited before node7\nnode 4 should be visited before node32\nnode 5 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node21\nnode 6 should be visited before node30\nnode 6 should be visited before node20\nnode 6 should be visited before node4\nnode 6 should be visited before node23\nnode 6 should be visited before node18\nnode 6 should be visited before node33\nnode 6 should be visited before node26\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 6 should be visited before node34\nnode 6 should be visited before node32\nnode 6 should be visited before node16\nnode 7 should be visited before node9\nnode 7 should be visited before node16\nnode 9 should be visited before node16\nnode 10 should be visited before node34\nnode 10 should be visited before node32\nnode 10 should be visited before node9\nnode 10 should be visited before node16\nnode 11 should be visited before node21\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node23\nnode 11 should be visited before node27\nnode 11 should be visited before node28\nnode 11 should be visited before node18\nnode 11 should be visited before node25\nnode 11 should be visited before node15\nnode 11 should be visited before node19\nnode 11 should be visited before node10\nnode 11 should be visited before node34\nnode 11 should be visited before node9\nnode 11 should be visited before node16\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node21\nnode 12 should be visited before node30\nnode 12 should be visited before node20\nnode 12 should be visited before node2\nnode 12 should be visited before node22\nnode 12 should be visited before node24\nnode 12 should be visited before node3\nnode 12 should be visited before node19\nnode 12 should be visited before node26\nnode 12 should be visited before node10\nnode 12 should be visited before node5\nnode 12 should be visited before node34\nnode 12 should be visited before node9\nnode 13 should be visited before node33\nnode 13 should be visited before node29\nnode 13 should be visited before node15\nnode 13 should be visited before node19\nnode 13 should be visited before node26\nnode 13 should be visited before node10\nnode 13 should be visited before node34\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 14 should be visited before node11\nnode 14 should be visited before node21\nnode 14 should be visited before node30\nnode 14 should be visited before node20\nnode 14 should be visited before node22\nnode 14 should be visited before node27\nnode 14 should be visited before node18\nnode 14 should be visited before node15\nnode 14 should be visited before node19\nnode 14 should be visited before node26\nnode 14 should be visited before node8\nnode 14 should be visited before node32\nnode 14 should be visited before node16\nnode 15 should be visited before node26\nnode 15 should be visited before node10\nnode 15 should be visited before node8\nnode 15 should be visited before node5\nnode 15 should be visited before node9\nnode 17 should be visited before node21\nnode 17 should be visited before node20\nnode 17 should be visited before node4\nnode 17 should be visited before node23\nnode 17 should be visited before node28\nnode 17 should be visited before node13\nnode 17 should be visited before node3\nnode 17 should be visited before node25\nnode 17 should be visited before node33\nnode 17 should be visited before node19\nnode 17 should be visited before node26\nnode 17 should be visited before node8\nnode 17 should be visited before node5\nnode 17 should be visited before node34\nnode 17 should be visited before node16\nnode 18 should be visited before node13\nnode 18 should be visited before node3\nnode 18 should be visited before node10\nnode 18 should be visited before node34\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 19 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node32\nnode 20 should be visited before node2\nnode 20 should be visited before node24\nnode 20 should be visited before node28\nnode 20 should be visited before node18\nnode 20 should be visited before node13\nnode 20 should be visited before node3\nnode 20 should be visited before node25\nnode 20 should be visited before node33\nnode 20 should be visited before node29\nnode 20 should be visited before node15\nnode 20 should be visited before node32\nnode 20 should be visited before node9\nnode 21 should be visited before node2\nnode 21 should be visited before node4\nnode 21 should be visited before node23\nnode 21 should be visited before node24\nnode 21 should be visited before node3\nnode 21 should be visited before node25\nnode 21 should be visited before node33\nnode 21 should be visited before node29\nnode 21 should be visited before node8\nnode 21 should be visited before node32\nnode 21 should be visited before node16\nnode 22 should be visited before node23\nnode 22 should be visited before node24\nnode 22 should be visited before node18\nnode 22 should be visited before node25\nnode 22 should be visited before node33\nnode 22 should be visited before node29\nnode 22 should be visited before node19\nnode 22 should be visited before node26\nnode 22 should be visited before node5\nnode 22 should be visited before node34\nnode 22 should be visited before node7\nnode 22 should be visited before node9\nnode 22 should be visited before node16\nnode 23 should be visited before node27\nnode 23 should be visited before node24\nnode 23 should be visited before node18\nnode 23 should be visited before node29\nnode 23 should be visited before node15\nnode 23 should be visited before node26\nnode 23 should be visited before node8\nnode 23 should be visited before node7\nnode 24 should be visited before node28\nnode 24 should be visited before node13\nnode 24 should be visited before node33\nnode 24 should be visited before node15\nnode 24 should be visited before node19\nnode 24 should be visited before node10\nnode 24 should be visited before node8\nnode 24 should be visited before node5\nnode 24 should be visited before node34\nnode 24 should be visited before node7\nnode 24 should be visited before node32\nnode 24 should be visited before node9\nnode 25 should be visited before node26\nnode 25 should be visited before node8\nnode 25 should be visited before node34\nnode 25 should be visited before node32\nnode 25 should be visited before node16\nnode 26 should be visited before node7\nnode 26 should be visited before node32\nnode 26 should be visited before node16\nnode 27 should be visited before node24\nnode 27 should be visited before node28\nnode 27 should be visited before node13\nnode 27 should be visited before node3\nnode 27 should be visited before node15\nnode 27 should be visited before node26\nnode 27 should be visited before node34\nnode 27 should be visited before node9\nnode 28 should be visited before node18\nnode 28 should be visited before node15\nnode 28 should be visited before node19\nnode 28 should be visited before node8\nnode 28 should be visited before node5\nnode 28 should be visited before node34\nnode 28 should be visited before node32\nnode 28 should be visited before node9\nnode 29 should be visited before node19\nnode 29 should be visited before node26\nnode 29 should be visited before node10\nnode 29 should be visited before node8\nnode 29 should be visited before node7\nnode 30 should be visited before node20\nnode 30 should be visited before node4\nnode 30 should be visited before node22\nnode 30 should be visited before node28\nnode 30 should be visited before node18\nnode 30 should be visited before node3\nnode 30 should be visited before node25\nnode 30 should be visited before node19\nnode 30 should be visited before node5\nnode 30 should be visited before node16\nnode 31 should be visited before node14\nnode 31 should be visited before node11\nnode 31 should be visited before node22\nnode 31 should be visited before node27\nnode 31 should be visited before node33\nnode 31 should be visited before node15\nnode 31 should be visited before node19\nnode 31 should be visited before node26\nnode 31 should be visited before node9\nnode 32 should be visited before node9\nnode 33 should be visited before node29\nnode 33 should be visited before node15\nnode 33 should be visited before node10\nnode 33 should be visited before node8\nnode 33 should be visited before node5\nnode 33 should be visited before node7\nnode 33 should be visited before node32\nnode 33 should be visited before node16\nnode 34 should be visited before node7\nnode 34 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,6,12,31,17,14,11,30,21,20,22,2,23,4,27,25,24,28,18,13,3,33,29,15,19,26,8,10,5,34,32,7,9,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph566",
        "image": "data/topology/graph_visual/hard/graph566.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node29\nnode 0 should be visited before node23\nnode 0 should be visited before node17\nnode 0 should be visited before node9\nnode 0 should be visited before node27\nnode 0 should be visited before node1\nnode 0 should be visited before node24\nnode 0 should be visited before node8\nnode 0 should be visited before node18\nnode 1 should be visited before node24\nnode 1 should be visited before node5\nnode 1 should be visited before node7\nnode 1 should be visited before node16\nnode 2 should be visited before node20\nnode 2 should be visited before node14\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node24\nnode 2 should be visited before node19\nnode 2 should be visited before node8\nnode 3 should be visited before node13\nnode 3 should be visited before node21\nnode 3 should be visited before node20\nnode 3 should be visited before node28\nnode 3 should be visited before node14\nnode 3 should be visited before node17\nnode 3 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node19\nnode 3 should be visited before node8\nnode 3 should be visited before node18\nnode 3 should be visited before node16\nnode 4 should be visited before node27\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node18\nnode 5 should be visited before node7\nnode 5 should be visited before node18\nnode 5 should be visited before node16\nnode 6 should be visited before node3\nnode 6 should be visited before node25\nnode 6 should be visited before node10\nnode 6 should be visited before node28\nnode 6 should be visited before node14\nnode 6 should be visited before node0\nnode 6 should be visited before node23\nnode 6 should be visited before node27\nnode 6 should be visited before node1\nnode 6 should be visited before node19\nnode 6 should be visited before node5\nnode 6 should be visited before node7\nnode 6 should be visited before node18\nnode 7 should be visited before node16\nnode 8 should be visited before node7\nnode 8 should be visited before node18\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 10 should be visited before node22\nnode 10 should be visited before node21\nnode 10 should be visited before node26\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node29\nnode 10 should be visited before node17\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node8\nnode 10 should be visited before node5\nnode 10 should be visited before node7\nnode 11 should be visited before node3\nnode 11 should be visited before node25\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node21\nnode 11 should be visited before node20\nnode 11 should be visited before node15\nnode 11 should be visited before node26\nnode 11 should be visited before node28\nnode 11 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node29\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node21\nnode 12 should be visited before node2\nnode 12 should be visited before node26\nnode 12 should be visited before node28\nnode 12 should be visited before node14\nnode 12 should be visited before node29\nnode 12 should be visited before node23\nnode 12 should be visited before node9\nnode 12 should be visited before node1\nnode 12 should be visited before node24\nnode 12 should be visited before node19\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node18\nnode 13 should be visited before node10\nnode 13 should be visited before node20\nnode 13 should be visited before node26\nnode 13 should be visited before node14\nnode 13 should be visited before node0\nnode 13 should be visited before node4\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node18\nnode 14 should be visited before node0\nnode 14 should be visited before node23\nnode 14 should be visited before node24\nnode 15 should be visited before node14\nnode 15 should be visited before node4\nnode 15 should be visited before node23\nnode 15 should be visited before node17\nnode 15 should be visited before node9\nnode 15 should be visited before node27\nnode 15 should be visited before node1\nnode 15 should be visited before node8\nnode 15 should be visited before node5\nnode 15 should be visited before node7\nnode 15 should be visited before node18\nnode 15 should be visited before node16\nnode 17 should be visited before node27\nnode 17 should be visited before node1\nnode 17 should be visited before node24\nnode 17 should be visited before node19\nnode 17 should be visited before node5\nnode 17 should be visited before node7\nnode 17 should be visited before node16\nnode 18 should be visited before node16\nnode 19 should be visited before node7\nnode 19 should be visited before node18\nnode 19 should be visited before node16\nnode 20 should be visited before node15\nnode 20 should be visited before node26\nnode 20 should be visited before node28\nnode 20 should be visited before node4\nnode 20 should be visited before node17\nnode 20 should be visited before node27\nnode 20 should be visited before node18\nnode 21 should be visited before node2\nnode 21 should be visited before node20\nnode 21 should be visited before node14\nnode 21 should be visited before node17\nnode 21 should be visited before node27\nnode 21 should be visited before node24\nnode 21 should be visited before node19\nnode 21 should be visited before node5\nnode 21 should be visited before node7\nnode 21 should be visited before node18\nnode 22 should be visited before node21\nnode 22 should be visited before node2\nnode 22 should be visited before node14\nnode 22 should be visited before node0\nnode 22 should be visited before node29\nnode 22 should be visited before node23\nnode 22 should be visited before node17\nnode 22 should be visited before node27\nnode 23 should be visited before node9\nnode 23 should be visited before node27\nnode 23 should be visited before node1\nnode 23 should be visited before node19\nnode 23 should be visited before node18\nnode 24 should be visited before node8\nnode 24 should be visited before node18\nnode 24 should be visited before node16\nnode 25 should be visited before node10\nnode 25 should be visited before node21\nnode 25 should be visited before node2\nnode 25 should be visited before node20\nnode 25 should be visited before node15\nnode 25 should be visited before node26\nnode 25 should be visited before node29\nnode 25 should be visited before node23\nnode 25 should be visited before node17\nnode 25 should be visited before node27\nnode 25 should be visited before node24\nnode 25 should be visited before node19\nnode 25 should be visited before node8\nnode 26 should be visited before node28\nnode 26 should be visited before node14\nnode 26 should be visited before node23\nnode 26 should be visited before node17\nnode 26 should be visited before node1\nnode 26 should be visited before node24\nnode 26 should be visited before node19\nnode 26 should be visited before node5\nnode 26 should be visited before node7\nnode 26 should be visited before node18\nnode 27 should be visited before node1\nnode 27 should be visited before node5\nnode 27 should be visited before node18\nnode 28 should be visited before node9\nnode 28 should be visited before node27\nnode 28 should be visited before node1\nnode 28 should be visited before node19\nnode 28 should be visited before node8\nnode 28 should be visited before node7\nnode 28 should be visited before node18\nnode 28 should be visited before node16\nnode 29 should be visited before node4\nnode 29 should be visited before node9\nnode 29 should be visited before node27\nnode 29 should be visited before node1\nnode 29 should be visited before node19\nnode 29 should be visited before node8\nnode 29 should be visited before node5\nnode 29 should be visited before node7\nnode 29 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,11,3,25,12,13,10,22,21,2,20,15,26,28,14,0,29,23,17,4,9,19,27,1,24,5,8,7,18,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph104",
        "image": "data/topology/graph_visual/hard/graph104.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node20\nnode 0 should be visited before node8\nnode 0 should be visited before node16\nnode 0 should be visited before node12\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node21\nnode 0 should be visited before node19\nnode 0 should be visited before node25\nnode 0 should be visited before node22\nnode 0 should be visited before node23\nnode 0 should be visited before node17\nnode 0 should be visited before node13\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node11\nnode 1 should be visited before node18\nnode 1 should be visited before node2\nnode 1 should be visited before node21\nnode 1 should be visited before node19\nnode 1 should be visited before node22\nnode 1 should be visited before node17\nnode 1 should be visited before node24\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node5\nnode 2 should be visited before node21\nnode 2 should be visited before node25\nnode 2 should be visited before node22\nnode 2 should be visited before node23\nnode 2 should be visited before node17\nnode 2 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 4 should be visited before node5\nnode 6 should be visited before node5\nnode 6 should be visited before node11\nnode 7 should be visited before node20\nnode 7 should be visited before node8\nnode 7 should be visited before node16\nnode 7 should be visited before node12\nnode 7 should be visited before node15\nnode 7 should be visited before node25\nnode 7 should be visited before node17\nnode 7 should be visited before node24\nnode 7 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node11\nnode 8 should be visited before node15\nnode 8 should be visited before node1\nnode 8 should be visited before node21\nnode 8 should be visited before node19\nnode 8 should be visited before node22\nnode 8 should be visited before node23\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node1\nnode 9 should be visited before node22\nnode 9 should be visited before node23\nnode 9 should be visited before node17\nnode 9 should be visited before node13\nnode 9 should be visited before node24\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node4\nnode 9 should be visited before node11\nnode 10 should be visited before node4\nnode 10 should be visited before node6\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 12 should be visited before node15\nnode 12 should be visited before node18\nnode 12 should be visited before node21\nnode 12 should be visited before node19\nnode 12 should be visited before node25\nnode 12 should be visited before node23\nnode 12 should be visited before node17\nnode 12 should be visited before node3\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 13 should be visited before node24\nnode 13 should be visited before node3\nnode 13 should be visited before node6\nnode 13 should be visited before node5\nnode 13 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node4\nnode 14 should be visited before node6\nnode 14 should be visited before node5\nnode 14 should be visited before node11\nnode 15 should be visited before node18\nnode 15 should be visited before node2\nnode 15 should be visited before node19\nnode 15 should be visited before node22\nnode 15 should be visited before node13\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 15 should be visited before node5\nnode 16 should be visited before node12\nnode 16 should be visited before node2\nnode 16 should be visited before node21\nnode 16 should be visited before node25\nnode 16 should be visited before node22\nnode 16 should be visited before node23\nnode 16 should be visited before node17\nnode 16 should be visited before node14\nnode 16 should be visited before node24\nnode 16 should be visited before node11\nnode 17 should be visited before node14\nnode 17 should be visited before node13\nnode 17 should be visited before node3\nnode 17 should be visited before node6\nnode 17 should be visited before node5\nnode 18 should be visited before node2\nnode 18 should be visited before node21\nnode 18 should be visited before node19\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 19 should be visited before node25\nnode 19 should be visited before node22\nnode 19 should be visited before node17\nnode 19 should be visited before node14\nnode 19 should be visited before node13\nnode 19 should be visited before node24\nnode 19 should be visited before node10\nnode 19 should be visited before node3\nnode 19 should be visited before node4\nnode 19 should be visited before node6\nnode 20 should be visited before node8\nnode 20 should be visited before node18\nnode 20 should be visited before node22\nnode 20 should be visited before node23\nnode 20 should be visited before node14\nnode 20 should be visited before node13\nnode 20 should be visited before node24\nnode 20 should be visited before node3\nnode 20 should be visited before node6\nnode 21 should be visited before node19\nnode 21 should be visited before node23\nnode 21 should be visited before node14\nnode 21 should be visited before node13\nnode 21 should be visited before node24\nnode 21 should be visited before node11\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 22 should be visited before node13\nnode 22 should be visited before node10\nnode 22 should be visited before node4\nnode 22 should be visited before node6\nnode 23 should be visited before node14\nnode 23 should be visited before node13\nnode 23 should be visited before node24\nnode 23 should be visited before node10\nnode 24 should be visited before node10\nnode 24 should be visited before node3\nnode 24 should be visited before node6\nnode 24 should be visited before node5\nnode 24 should be visited before node11\nnode 25 should be visited before node23\nnode 25 should be visited before node14\nnode 25 should be visited before node3\nnode 25 should be visited before node4\nnode 25 should be visited before node6\nnode 25 should be visited before node5\nnode 25 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,9,7,20,16,8,12,1,15,18,2,21,19,25,22,17,23,14,13,24,10,3,4,6,5,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph364",
        "image": "data/topology/graph_visual/hard/graph364.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node21\nnode 0 should be visited before node13\nnode 0 should be visited before node19\nnode 0 should be visited before node25\nnode 0 should be visited before node22\nnode 0 should be visited before node2\nnode 0 should be visited before node12\nnode 0 should be visited before node24\nnode 1 should be visited before node22\nnode 1 should be visited before node17\nnode 2 should be visited before node28\nnode 2 should be visited before node17\nnode 2 should be visited before node12\nnode 2 should be visited before node20\nnode 3 should be visited before node8\nnode 3 should be visited before node18\nnode 3 should be visited before node2\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 3 should be visited before node24\nnode 3 should be visited before node20\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node28\nnode 4 should be visited before node16\nnode 4 should be visited before node10\nnode 4 should be visited before node12\nnode 5 should be visited before node27\nnode 6 should be visited before node28\nnode 6 should be visited before node16\nnode 7 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node23\nnode 8 should be visited before node10\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node16\nnode 9 should be visited before node27\nnode 9 should be visited before node7\nnode 9 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node24\nnode 11 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node15\nnode 11 should be visited before node24\nnode 11 should be visited before node20\nnode 13 should be visited before node1\nnode 13 should be visited before node19\nnode 13 should be visited before node25\nnode 13 should be visited before node6\nnode 13 should be visited before node10\nnode 14 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node28\nnode 14 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node7\nnode 15 should be visited before node16\nnode 15 should be visited before node17\nnode 15 should be visited before node27\nnode 16 should be visited before node17\nnode 16 should be visited before node27\nnode 16 should be visited before node7\nnode 17 should be visited before node27\nnode 17 should be visited before node24\nnode 18 should be visited before node2\nnode 18 should be visited before node10\nnode 18 should be visited before node17\nnode 19 should be visited before node9\nnode 19 should be visited before node25\nnode 19 should be visited before node22\nnode 19 should be visited before node26\nnode 19 should be visited before node2\nnode 19 should be visited before node28\nnode 19 should be visited before node16\nnode 19 should be visited before node12\nnode 19 should be visited before node20\nnode 21 should be visited before node13\nnode 21 should be visited before node22\nnode 21 should be visited before node16\nnode 21 should be visited before node10\nnode 21 should be visited before node20\nnode 22 should be visited before node2\nnode 22 should be visited before node15\nnode 22 should be visited before node10\nnode 22 should be visited before node5\nnode 23 should be visited before node6\nnode 23 should be visited before node5\nnode 23 should be visited before node27\nnode 23 should be visited before node20\nnode 25 should be visited before node26\nnode 25 should be visited before node10\nnode 25 should be visited before node17\nnode 25 should be visited before node27\nnode 26 should be visited before node2\nnode 26 should be visited before node5\nnode 26 should be visited before node27\nnode 26 should be visited before node7\nnode 27 should be visited before node7\nnode 27 should be visited before node12\nnode 28 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,11,14,8,18,4,23,0,21,13,1,19,6,9,25,22,26,15,10,2,16,5,28,17,27,24,7,12,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph646",
        "image": "data/topology/graph_visual/hard/graph646.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node15\nnode 0 should be visited before node26\nnode 0 should be visited before node9\nnode 0 should be visited before node27\nnode 0 should be visited before node6\nnode 0 should be visited before node12\nnode 0 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node28\nnode 2 should be visited before node21\nnode 2 should be visited before node16\nnode 2 should be visited before node17\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 4 should be visited before node29\nnode 4 should be visited before node9\nnode 4 should be visited before node30\nnode 4 should be visited before node22\nnode 4 should be visited before node24\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 4 should be visited before node1\nnode 4 should be visited before node17\nnode 5 should be visited before node10\nnode 5 should be visited before node27\nnode 5 should be visited before node3\nnode 5 should be visited before node21\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 6 should be visited before node1\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node17\nnode 8 should be visited before node29\nnode 8 should be visited before node23\nnode 8 should be visited before node27\nnode 8 should be visited before node22\nnode 8 should be visited before node2\nnode 9 should be visited before node5\nnode 9 should be visited before node23\nnode 9 should be visited before node2\nnode 9 should be visited before node24\nnode 9 should be visited before node3\nnode 9 should be visited before node28\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node7\nnode 10 should be visited before node22\nnode 10 should be visited before node24\nnode 10 should be visited before node3\nnode 10 should be visited before node28\nnode 10 should be visited before node20\nnode 11 should be visited before node8\nnode 11 should be visited before node9\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 11 should be visited before node14\nnode 11 should be visited before node21\nnode 11 should be visited before node6\nnode 11 should be visited before node12\nnode 14 should be visited before node28\nnode 14 should be visited before node21\nnode 14 should be visited before node16\nnode 14 should be visited before node12\nnode 14 should be visited before node13\nnode 15 should be visited before node8\nnode 15 should be visited before node5\nnode 15 should be visited before node10\nnode 15 should be visited before node30\nnode 15 should be visited before node23\nnode 15 should be visited before node14\nnode 15 should be visited before node25\nnode 15 should be visited before node22\nnode 15 should be visited before node3\nnode 15 should be visited before node18\nnode 16 should be visited before node18\nnode 16 should be visited before node7\nnode 16 should be visited before node17\nnode 18 should be visited before node1\nnode 19 should be visited before node8\nnode 19 should be visited before node29\nnode 19 should be visited before node22\nnode 19 should be visited before node24\nnode 19 should be visited before node28\nnode 19 should be visited before node16\nnode 19 should be visited before node12\nnode 20 should be visited before node21\nnode 20 should be visited before node18\nnode 20 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node17\nnode 21 should be visited before node13\nnode 21 should be visited before node17\nnode 22 should be visited before node28\nnode 23 should be visited before node20\nnode 23 should be visited before node12\nnode 23 should be visited before node13\nnode 23 should be visited before node17\nnode 24 should be visited before node7\nnode 24 should be visited before node12\nnode 24 should be visited before node17\nnode 25 should be visited before node2\nnode 25 should be visited before node6\nnode 25 should be visited before node7\nnode 25 should be visited before node1\nnode 26 should be visited before node29\nnode 26 should be visited before node5\nnode 26 should be visited before node10\nnode 26 should be visited before node30\nnode 26 should be visited before node14\nnode 26 should be visited before node28\nnode 26 should be visited before node6\nnode 26 should be visited before node13\nnode 26 should be visited before node17\nnode 27 should be visited before node25\nnode 27 should be visited before node28\nnode 27 should be visited before node21\nnode 27 should be visited before node6\nnode 27 should be visited before node17\nnode 28 should be visited before node6\nnode 28 should be visited before node16\nnode 29 should be visited before node27\nnode 29 should be visited before node14\nnode 29 should be visited before node25\nnode 29 should be visited before node22\nnode 29 should be visited before node2\nnode 29 should be visited before node12\nnode 29 should be visited before node1\nnode 29 should be visited before node13\nnode 30 should be visited before node14\nnode 30 should be visited before node25\nnode 30 should be visited before node3\nnode 30 should be visited before node28\nnode 30 should be visited before node21\nnode 30 should be visited before node7\nnode 30 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,11,19,15,26,9,8,30,5,29,23,10,27,14,22,24,20,25,2,3,28,21,6,16,18,7,1,12,13,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph211",
        "image": "data/topology/graph_visual/hard/graph211.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node24\nnode 0 should be visited before node25\nnode 0 should be visited before node11\nnode 0 should be visited before node10\nnode 1 should be visited before node13\nnode 1 should be visited before node20\nnode 1 should be visited before node12\nnode 1 should be visited before node16\nnode 1 should be visited before node22\nnode 1 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node25\nnode 1 should be visited before node11\nnode 2 should be visited before node22\nnode 2 should be visited before node6\nnode 2 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node25\nnode 2 should be visited before node11\nnode 3 should be visited before node15\nnode 3 should be visited before node14\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node18\nnode 3 should be visited before node25\nnode 3 should be visited before node10\nnode 4 should be visited before node18\nnode 4 should be visited before node25\nnode 4 should be visited before node11\nnode 5 should be visited before node26\nnode 5 should be visited before node1\nnode 5 should be visited before node2\nnode 5 should be visited before node6\nnode 5 should be visited before node7\nnode 5 should be visited before node4\nnode 5 should be visited before node18\nnode 5 should be visited before node11\nnode 6 should be visited before node4\nnode 6 should be visited before node0\nnode 6 should be visited before node24\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 7 should be visited before node18\nnode 7 should be visited before node24\nnode 7 should be visited before node11\nnode 7 should be visited before node10\nnode 8 should be visited before node23\nnode 8 should be visited before node9\nnode 8 should be visited before node17\nnode 8 should be visited before node21\nnode 8 should be visited before node1\nnode 8 should be visited before node20\nnode 8 should be visited before node14\nnode 8 should be visited before node16\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 8 should be visited before node24\nnode 8 should be visited before node25\nnode 8 should be visited before node11\nnode 8 should be visited before node10\nnode 9 should be visited before node13\nnode 9 should be visited before node14\nnode 9 should be visited before node2\nnode 9 should be visited before node22\nnode 9 should be visited before node11\nnode 9 should be visited before node10\nnode 11 should be visited before node10\nnode 12 should be visited before node16\nnode 12 should be visited before node22\nnode 12 should be visited before node6\nnode 12 should be visited before node7\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node24\nnode 12 should be visited before node25\nnode 13 should be visited before node20\nnode 13 should be visited before node14\nnode 13 should be visited before node12\nnode 13 should be visited before node2\nnode 13 should be visited before node22\nnode 13 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node18\nnode 13 should be visited before node25\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 14 should be visited before node16\nnode 14 should be visited before node22\nnode 14 should be visited before node6\nnode 14 should be visited before node7\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node10\nnode 15 should be visited before node20\nnode 15 should be visited before node22\nnode 15 should be visited before node7\nnode 15 should be visited before node4\nnode 15 should be visited before node24\nnode 16 should be visited before node22\nnode 16 should be visited before node6\nnode 16 should be visited before node7\nnode 16 should be visited before node0\nnode 17 should be visited before node3\nnode 17 should be visited before node21\nnode 17 should be visited before node13\nnode 17 should be visited before node20\nnode 17 should be visited before node14\nnode 17 should be visited before node12\nnode 17 should be visited before node2\nnode 17 should be visited before node16\nnode 17 should be visited before node4\nnode 17 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node25\nnode 17 should be visited before node11\nnode 17 should be visited before node10\nnode 18 should be visited before node24\nnode 18 should be visited before node25\nnode 18 should be visited before node11\nnode 19 should be visited before node8\nnode 19 should be visited before node23\nnode 19 should be visited before node9\nnode 19 should be visited before node5\nnode 19 should be visited before node17\nnode 19 should be visited before node3\nnode 19 should be visited before node21\nnode 19 should be visited before node1\nnode 19 should be visited before node13\nnode 19 should be visited before node16\nnode 19 should be visited before node6\nnode 19 should be visited before node7\nnode 19 should be visited before node4\nnode 19 should be visited before node0\nnode 19 should be visited before node18\nnode 19 should be visited before node25\nnode 20 should be visited before node14\nnode 20 should be visited before node12\nnode 20 should be visited before node6\nnode 20 should be visited before node7\nnode 20 should be visited before node0\nnode 20 should be visited before node18\nnode 20 should be visited before node11\nnode 20 should be visited before node10\nnode 21 should be visited before node1\nnode 21 should be visited before node20\nnode 21 should be visited before node2\nnode 21 should be visited before node16\nnode 21 should be visited before node22\nnode 21 should be visited before node7\nnode 21 should be visited before node4\nnode 21 should be visited before node24\nnode 21 should be visited before node25\nnode 22 should be visited before node7\nnode 22 should be visited before node0\nnode 22 should be visited before node18\nnode 22 should be visited before node24\nnode 22 should be visited before node25\nnode 22 should be visited before node11\nnode 22 should be visited before node10\nnode 23 should be visited before node9\nnode 23 should be visited before node5\nnode 23 should be visited before node17\nnode 23 should be visited before node3\nnode 23 should be visited before node15\nnode 23 should be visited before node21\nnode 23 should be visited before node13\nnode 23 should be visited before node20\nnode 23 should be visited before node14\nnode 23 should be visited before node2\nnode 23 should be visited before node18\nnode 23 should be visited before node25\nnode 23 should be visited before node10\nnode 24 should be visited before node11\nnode 25 should be visited before node11\nnode 26 should be visited before node3\nnode 26 should be visited before node20\nnode 26 should be visited before node2\nnode 26 should be visited before node22\nnode 26 should be visited before node6\nnode 26 should be visited before node25\nnode 26 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,8,23,9,5,17,26,21,3,1,15,13,20,2,14,12,16,22,6,7,4,0,18,24,25,11,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph639",
        "image": "data/topology/graph_visual/hard/graph639.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node11\nnode 1 should be visited before node20\nnode 1 should be visited before node24\nnode 1 should be visited before node23\nnode 1 should be visited before node0\nnode 1 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node21\nnode 2 should be visited before node30\nnode 2 should be visited before node20\nnode 2 should be visited before node28\nnode 2 should be visited before node24\nnode 2 should be visited before node13\nnode 3 should be visited before node20\nnode 3 should be visited before node16\nnode 3 should be visited before node13\nnode 4 should be visited before node23\nnode 5 should be visited before node8\nnode 5 should be visited before node24\nnode 5 should be visited before node16\nnode 5 should be visited before node4\nnode 5 should be visited before node23\nnode 6 should be visited before node30\nnode 6 should be visited before node8\nnode 6 should be visited before node27\nnode 6 should be visited before node28\nnode 6 should be visited before node24\nnode 6 should be visited before node23\nnode 7 should be visited before node25\nnode 7 should be visited before node1\nnode 7 should be visited before node19\nnode 7 should be visited before node18\nnode 7 should be visited before node10\nnode 7 should be visited before node29\nnode 7 should be visited before node21\nnode 7 should be visited before node3\nnode 7 should be visited before node23\nnode 7 should be visited before node11\nnode 8 should be visited before node27\nnode 8 should be visited before node16\nnode 8 should be visited before node4\nnode 9 should be visited before node16\nnode 9 should be visited before node13\nnode 9 should be visited before node4\nnode 9 should be visited before node0\nnode 10 should be visited before node29\nnode 10 should be visited before node6\nnode 10 should be visited before node5\nnode 10 should be visited before node27\nnode 10 should be visited before node0\nnode 10 should be visited before node26\nnode 10 should be visited before node11\nnode 12 should be visited before node15\nnode 12 should be visited before node25\nnode 12 should be visited before node22\nnode 12 should be visited before node5\nnode 12 should be visited before node30\nnode 12 should be visited before node4\nnode 12 should be visited before node26\nnode 13 should be visited before node23\nnode 13 should be visited before node26\nnode 14 should be visited before node19\nnode 14 should be visited before node18\nnode 14 should be visited before node6\nnode 14 should be visited before node27\nnode 14 should be visited before node28\nnode 14 should be visited before node13\nnode 14 should be visited before node0\nnode 15 should be visited before node25\nnode 15 should be visited before node22\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 15 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node27\nnode 15 should be visited before node16\nnode 15 should be visited before node13\nnode 15 should be visited before node23\nnode 16 should be visited before node23\nnode 17 should be visited before node25\nnode 17 should be visited before node22\nnode 17 should be visited before node1\nnode 17 should be visited before node14\nnode 17 should be visited before node29\nnode 17 should be visited before node21\nnode 17 should be visited before node30\nnode 17 should be visited before node4\nnode 18 should be visited before node29\nnode 18 should be visited before node5\nnode 18 should be visited before node20\nnode 18 should be visited before node28\nnode 18 should be visited before node24\nnode 18 should be visited before node26\nnode 19 should be visited before node21\nnode 19 should be visited before node8\nnode 19 should be visited before node27\nnode 19 should be visited before node24\nnode 19 should be visited before node0\nnode 19 should be visited before node11\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 20 should be visited before node26\nnode 21 should be visited before node5\nnode 21 should be visited before node20\nnode 21 should be visited before node27\nnode 21 should be visited before node13\nnode 21 should be visited before node4\nnode 22 should be visited before node29\nnode 22 should be visited before node5\nnode 22 should be visited before node8\nnode 22 should be visited before node23\nnode 23 should be visited before node26\nnode 24 should be visited before node13\nnode 24 should be visited before node23\nnode 24 should be visited before node26\nnode 24 should be visited before node11\nnode 25 should be visited before node10\nnode 25 should be visited before node3\nnode 25 should be visited before node20\nnode 25 should be visited before node28\nnode 25 should be visited before node4\nnode 26 should be visited before node11\nnode 27 should be visited before node16\nnode 27 should be visited before node4\nnode 28 should be visited before node16\nnode 28 should be visited before node4\nnode 28 should be visited before node11\nnode 29 should be visited before node30\nnode 29 should be visited before node24\nnode 29 should be visited before node9\nnode 29 should be visited before node16\nnode 29 should be visited before node0\nnode 30 should be visited before node8\nnode 30 should be visited before node28\nnode 30 should be visited before node9\nnode 30 should be visited before node0\nnode 30 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,7,12,17,15,1,14,25,22,19,18,10,3,21,29,6,5,20,30,24,8,28,9,27,13,0,16,4,23,26,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph1189",
        "image": "data/topology/graph_visual/hard/graph1189.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node8\nnode 0 should be visited before node13\nnode 0 should be visited before node15\nnode 0 should be visited before node14\nnode 0 should be visited before node20\nnode 0 should be visited before node7\nnode 1 should be visited before node22\nnode 1 should be visited before node3\nnode 1 should be visited before node8\nnode 1 should be visited before node13\nnode 1 should be visited before node15\nnode 1 should be visited before node30\nnode 1 should be visited before node19\nnode 1 should be visited before node16\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 2 should be visited before node26\nnode 2 should be visited before node28\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node15\nnode 2 should be visited before node30\nnode 2 should be visited before node19\nnode 2 should be visited before node16\nnode 2 should be visited before node20\nnode 2 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node13\nnode 3 should be visited before node15\nnode 3 should be visited before node30\nnode 3 should be visited before node19\nnode 3 should be visited before node7\nnode 4 should be visited before node34\nnode 4 should be visited before node24\nnode 4 should be visited before node11\nnode 4 should be visited before node0\nnode 4 should be visited before node22\nnode 4 should be visited before node3\nnode 4 should be visited before node19\nnode 4 should be visited before node16\nnode 4 should be visited before node7\nnode 5 should be visited before node27\nnode 5 should be visited before node4\nnode 5 should be visited before node28\nnode 5 should be visited before node23\nnode 5 should be visited before node33\nnode 5 should be visited before node25\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node15\nnode 5 should be visited before node19\nnode 5 should be visited before node16\nnode 5 should be visited before node14\nnode 5 should be visited before node20\nnode 6 should be visited before node32\nnode 6 should be visited before node2\nnode 6 should be visited before node31\nnode 6 should be visited before node12\nnode 6 should be visited before node5\nnode 6 should be visited before node29\nnode 6 should be visited before node24\nnode 6 should be visited before node23\nnode 6 should be visited before node25\nnode 6 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node22\nnode 6 should be visited before node3\nnode 6 should be visited before node8\nnode 6 should be visited before node20\nnode 6 should be visited before node7\nnode 8 should be visited before node13\nnode 8 should be visited before node15\nnode 8 should be visited before node30\nnode 8 should be visited before node17\nnode 8 should be visited before node16\nnode 8 should be visited before node14\nnode 8 should be visited before node20\nnode 9 should be visited before node12\nnode 9 should be visited before node27\nnode 9 should be visited before node29\nnode 9 should be visited before node34\nnode 9 should be visited before node21\nnode 9 should be visited before node33\nnode 9 should be visited before node11\nnode 9 should be visited before node22\nnode 9 should be visited before node8\nnode 9 should be visited before node17\nnode 9 should be visited before node16\nnode 9 should be visited before node14\nnode 10 should be visited before node6\nnode 10 should be visited before node9\nnode 10 should be visited before node27\nnode 10 should be visited before node26\nnode 10 should be visited before node29\nnode 10 should be visited before node4\nnode 10 should be visited before node34\nnode 10 should be visited before node28\nnode 10 should be visited before node21\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 10 should be visited before node22\nnode 10 should be visited before node8\nnode 10 should be visited before node13\nnode 10 should be visited before node19\nnode 10 should be visited before node17\nnode 10 should be visited before node20\nnode 11 should be visited before node25\nnode 11 should be visited before node1\nnode 11 should be visited before node0\nnode 11 should be visited before node8\nnode 11 should be visited before node15\nnode 11 should be visited before node17\nnode 11 should be visited before node16\nnode 11 should be visited before node14\nnode 11 should be visited before node20\nnode 12 should be visited before node5\nnode 12 should be visited before node27\nnode 12 should be visited before node4\nnode 12 should be visited before node34\nnode 12 should be visited before node21\nnode 12 should be visited before node23\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 12 should be visited before node3\nnode 12 should be visited before node15\nnode 12 should be visited before node16\nnode 12 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node7\nnode 14 should be visited before node20\nnode 14 should be visited before node7\nnode 15 should be visited before node30\nnode 15 should be visited before node19\nnode 15 should be visited before node17\nnode 15 should be visited before node16\nnode 15 should be visited before node14\nnode 15 should be visited before node20\nnode 16 should be visited before node7\nnode 17 should be visited before node16\nnode 17 should be visited before node20\nnode 18 should be visited before node31\nnode 18 should be visited before node27\nnode 18 should be visited before node26\nnode 18 should be visited before node34\nnode 18 should be visited before node28\nnode 18 should be visited before node33\nnode 18 should be visited before node11\nnode 18 should be visited before node0\nnode 18 should be visited before node22\nnode 18 should be visited before node3\nnode 18 should be visited before node30\nnode 18 should be visited before node19\nnode 18 should be visited before node17\nnode 18 should be visited before node14\nnode 18 should be visited before node7\nnode 19 should be visited before node17\nnode 19 should be visited before node14\nnode 20 should be visited before node7\nnode 21 should be visited before node23\nnode 21 should be visited before node33\nnode 21 should be visited before node11\nnode 21 should be visited before node1\nnode 21 should be visited before node15\nnode 21 should be visited before node19\nnode 21 should be visited before node17\nnode 21 should be visited before node14\nnode 21 should be visited before node20\nnode 22 should be visited before node3\nnode 22 should be visited before node8\nnode 22 should be visited before node13\nnode 22 should be visited before node19\nnode 22 should be visited before node17\nnode 22 should be visited before node16\nnode 22 should be visited before node14\nnode 23 should be visited before node11\nnode 23 should be visited before node25\nnode 23 should be visited before node22\nnode 23 should be visited before node3\nnode 23 should be visited before node19\nnode 23 should be visited before node17\nnode 23 should be visited before node16\nnode 23 should be visited before node14\nnode 24 should be visited before node33\nnode 24 should be visited before node22\nnode 24 should be visited before node3\nnode 24 should be visited before node8\nnode 24 should be visited before node30\nnode 24 should be visited before node19\nnode 24 should be visited before node17\nnode 24 should be visited before node14\nnode 24 should be visited before node20\nnode 24 should be visited before node7\nnode 25 should be visited before node1\nnode 25 should be visited before node3\nnode 25 should be visited before node13\nnode 25 should be visited before node16\nnode 25 should be visited before node14\nnode 25 should be visited before node7\nnode 26 should be visited before node29\nnode 26 should be visited before node4\nnode 26 should be visited before node23\nnode 26 should be visited before node11\nnode 26 should be visited before node1\nnode 26 should be visited before node0\nnode 26 should be visited before node22\nnode 26 should be visited before node8\nnode 26 should be visited before node13\nnode 26 should be visited before node15\nnode 26 should be visited before node17\nnode 26 should be visited before node14\nnode 26 should be visited before node7\nnode 27 should be visited before node29\nnode 27 should be visited before node24\nnode 27 should be visited before node33\nnode 27 should be visited before node1\nnode 27 should be visited before node0\nnode 27 should be visited before node19\nnode 27 should be visited before node14\nnode 27 should be visited before node20\nnode 27 should be visited before node7\nnode 28 should be visited before node24\nnode 28 should be visited before node21\nnode 28 should be visited before node23\nnode 28 should be visited before node11\nnode 28 should be visited before node25\nnode 28 should be visited before node0\nnode 28 should be visited before node22\nnode 28 should be visited before node8\nnode 28 should be visited before node13\nnode 28 should be visited before node15\nnode 28 should be visited before node16\nnode 28 should be visited before node20\nnode 29 should be visited before node28\nnode 29 should be visited before node33\nnode 29 should be visited before node1\nnode 29 should be visited before node0\nnode 29 should be visited before node8\nnode 29 should be visited before node13\nnode 29 should be visited before node30\nnode 30 should be visited before node17\nnode 30 should be visited before node20\nnode 31 should be visited before node12\nnode 31 should be visited before node34\nnode 31 should be visited before node21\nnode 31 should be visited before node33\nnode 31 should be visited before node25\nnode 31 should be visited before node0\nnode 31 should be visited before node8\nnode 31 should be visited before node13\nnode 31 should be visited before node14\nnode 31 should be visited before node20\nnode 31 should be visited before node7\nnode 32 should be visited before node18\nnode 32 should be visited before node2\nnode 32 should be visited before node31\nnode 32 should be visited before node12\nnode 32 should be visited before node5\nnode 32 should be visited before node29\nnode 32 should be visited before node4\nnode 32 should be visited before node28\nnode 32 should be visited before node23\nnode 32 should be visited before node33\nnode 32 should be visited before node25\nnode 32 should be visited before node1\nnode 32 should be visited before node3\nnode 32 should be visited before node7\nnode 33 should be visited before node25\nnode 33 should be visited before node0\nnode 33 should be visited before node22\nnode 33 should be visited before node3\nnode 33 should be visited before node13\nnode 33 should be visited before node15\nnode 33 should be visited before node17\nnode 33 should be visited before node16\nnode 33 should be visited before node14\nnode 33 should be visited before node20\nnode 34 should be visited before node28\nnode 34 should be visited before node23\nnode 34 should be visited before node33\nnode 34 should be visited before node11\nnode 34 should be visited before node1\nnode 34 should be visited before node0\nnode 34 should be visited before node22\nnode 34 should be visited before node8\nnode 34 should be visited before node19\nnode 34 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,6,32,18,2,31,9,26,12,5,27,4,29,34,28,24,21,23,33,11,25,0,1,22,3,8,13,15,30,19,17,14,16,20,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph1077",
        "image": "data/topology/graph_visual/hard/graph1077.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node5\nnode 0 should be visited before node20\nnode 0 should be visited before node23\nnode 0 should be visited before node13\nnode 0 should be visited before node24\nnode 0 should be visited before node9\nnode 1 should be visited before node25\nnode 1 should be visited before node26\nnode 1 should be visited before node19\nnode 1 should be visited before node30\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node7\nnode 1 should be visited before node20\nnode 1 should be visited before node9\nnode 2 should be visited before node15\nnode 2 should be visited before node32\nnode 2 should be visited before node1\nnode 2 should be visited before node25\nnode 2 should be visited before node26\nnode 2 should be visited before node6\nnode 2 should be visited before node19\nnode 2 should be visited before node30\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node20\nnode 2 should be visited before node23\nnode 2 should be visited before node9\nnode 3 should be visited before node28\nnode 3 should be visited before node10\nnode 3 should be visited before node33\nnode 3 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node12\nnode 3 should be visited before node25\nnode 3 should be visited before node14\nnode 3 should be visited before node26\nnode 3 should be visited before node6\nnode 3 should be visited before node7\nnode 3 should be visited before node20\nnode 3 should be visited before node4\nnode 3 should be visited before node13\nnode 3 should be visited before node24\nnode 4 should be visited before node13\nnode 5 should be visited before node7\nnode 5 should be visited before node23\nnode 5 should be visited before node4\nnode 5 should be visited before node24\nnode 6 should be visited before node19\nnode 6 should be visited before node0\nnode 6 should be visited before node17\nnode 6 should be visited before node23\nnode 6 should be visited before node4\nnode 7 should be visited before node13\nnode 7 should be visited before node24\nnode 8 should be visited before node27\nnode 8 should be visited before node22\nnode 8 should be visited before node28\nnode 8 should be visited before node31\nnode 8 should be visited before node29\nnode 8 should be visited before node1\nnode 8 should be visited before node26\nnode 8 should be visited before node6\nnode 8 should be visited before node19\nnode 8 should be visited before node0\nnode 8 should be visited before node17\nnode 8 should be visited before node5\nnode 8 should be visited before node23\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 10 should be visited before node33\nnode 10 should be visited before node2\nnode 10 should be visited before node12\nnode 10 should be visited before node29\nnode 10 should be visited before node1\nnode 10 should be visited before node25\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 10 should be visited before node24\nnode 11 should be visited before node18\nnode 11 should be visited before node8\nnode 11 should be visited before node27\nnode 11 should be visited before node22\nnode 11 should be visited before node10\nnode 11 should be visited before node31\nnode 11 should be visited before node33\nnode 11 should be visited before node12\nnode 11 should be visited before node32\nnode 11 should be visited before node1\nnode 11 should be visited before node14\nnode 11 should be visited before node19\nnode 11 should be visited before node17\nnode 11 should be visited before node5\nnode 11 should be visited before node4\nnode 11 should be visited before node9\nnode 12 should be visited before node29\nnode 12 should be visited before node6\nnode 12 should be visited before node4\nnode 12 should be visited before node24\nnode 12 should be visited before node9\nnode 14 should be visited before node6\nnode 14 should be visited before node19\nnode 14 should be visited before node17\nnode 14 should be visited before node5\nnode 14 should be visited before node7\nnode 14 should be visited before node20\nnode 14 should be visited before node4\nnode 14 should be visited before node13\nnode 14 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node32\nnode 15 should be visited before node29\nnode 15 should be visited before node25\nnode 15 should be visited before node26\nnode 15 should be visited before node19\nnode 15 should be visited before node30\nnode 15 should be visited before node17\nnode 15 should be visited before node5\nnode 15 should be visited before node20\nnode 15 should be visited before node23\nnode 15 should be visited before node13\nnode 15 should be visited before node9\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node27\nnode 16 should be visited before node10\nnode 16 should be visited before node33\nnode 16 should be visited before node32\nnode 16 should be visited before node1\nnode 16 should be visited before node25\nnode 16 should be visited before node26\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node5\nnode 16 should be visited before node7\nnode 16 should be visited before node20\nnode 16 should be visited before node23\nnode 16 should be visited before node9\nnode 17 should be visited before node5\nnode 17 should be visited before node7\nnode 17 should be visited before node20\nnode 17 should be visited before node13\nnode 18 should be visited before node8\nnode 18 should be visited before node27\nnode 18 should be visited before node10\nnode 18 should be visited before node31\nnode 18 should be visited before node33\nnode 18 should be visited before node15\nnode 18 should be visited before node32\nnode 18 should be visited before node1\nnode 18 should be visited before node25\nnode 18 should be visited before node14\nnode 18 should be visited before node6\nnode 18 should be visited before node19\nnode 18 should be visited before node30\nnode 18 should be visited before node0\nnode 18 should be visited before node17\nnode 18 should be visited before node5\nnode 18 should be visited before node7\nnode 18 should be visited before node20\nnode 18 should be visited before node23\nnode 19 should be visited before node30\nnode 19 should be visited before node0\nnode 19 should be visited before node5\nnode 19 should be visited before node4\nnode 19 should be visited before node24\nnode 20 should be visited before node23\nnode 20 should be visited before node24\nnode 20 should be visited before node9\nnode 21 should be visited before node8\nnode 21 should be visited before node22\nnode 21 should be visited before node31\nnode 21 should be visited before node33\nnode 21 should be visited before node2\nnode 21 should be visited before node12\nnode 21 should be visited before node32\nnode 21 should be visited before node29\nnode 21 should be visited before node14\nnode 21 should be visited before node26\nnode 21 should be visited before node19\nnode 21 should be visited before node30\nnode 21 should be visited before node0\nnode 21 should be visited before node23\nnode 21 should be visited before node4\nnode 21 should be visited before node9\nnode 22 should be visited before node33\nnode 22 should be visited before node2\nnode 22 should be visited before node15\nnode 22 should be visited before node32\nnode 22 should be visited before node29\nnode 22 should be visited before node1\nnode 22 should be visited before node25\nnode 22 should be visited before node6\nnode 22 should be visited before node17\nnode 22 should be visited before node5\nnode 22 should be visited before node24\nnode 22 should be visited before node9\nnode 23 should be visited before node4\nnode 24 should be visited before node9\nnode 25 should be visited before node14\nnode 25 should be visited before node6\nnode 25 should be visited before node19\nnode 25 should be visited before node30\nnode 25 should be visited before node0\nnode 25 should be visited before node17\nnode 25 should be visited before node5\nnode 25 should be visited before node13\nnode 25 should be visited before node24\nnode 25 should be visited before node9\nnode 26 should be visited before node6\nnode 26 should be visited before node17\nnode 26 should be visited before node5\nnode 26 should be visited before node7\nnode 26 should be visited before node20\nnode 26 should be visited before node4\nnode 26 should be visited before node24\nnode 26 should be visited before node9\nnode 27 should be visited before node28\nnode 27 should be visited before node12\nnode 27 should be visited before node32\nnode 27 should be visited before node1\nnode 27 should be visited before node14\nnode 27 should be visited before node26\nnode 27 should be visited before node30\nnode 27 should be visited before node17\nnode 27 should be visited before node20\nnode 27 should be visited before node23\nnode 27 should be visited before node4\nnode 27 should be visited before node24\nnode 28 should be visited before node12\nnode 28 should be visited before node26\nnode 28 should be visited before node17\nnode 28 should be visited before node13\nnode 28 should be visited before node24\nnode 28 should be visited before node9\nnode 29 should be visited before node25\nnode 29 should be visited before node14\nnode 29 should be visited before node26\nnode 29 should be visited before node19\nnode 29 should be visited before node5\nnode 29 should be visited before node7\nnode 30 should be visited before node5\nnode 30 should be visited before node7\nnode 30 should be visited before node23\nnode 30 should be visited before node24\nnode 31 should be visited before node33\nnode 31 should be visited before node2\nnode 31 should be visited before node12\nnode 31 should be visited before node32\nnode 31 should be visited before node6\nnode 31 should be visited before node19\nnode 31 should be visited before node30\nnode 31 should be visited before node20\nnode 31 should be visited before node4\nnode 31 should be visited before node13\nnode 31 should be visited before node9\nnode 32 should be visited before node29\nnode 32 should be visited before node25\nnode 32 should be visited before node30\nnode 32 should be visited before node0\nnode 32 should be visited before node17\nnode 32 should be visited before node5\nnode 32 should be visited before node7\nnode 32 should be visited before node20\nnode 32 should be visited before node23\nnode 32 should be visited before node9\nnode 33 should be visited before node2\nnode 33 should be visited before node15\nnode 33 should be visited before node29\nnode 33 should be visited before node1\nnode 33 should be visited before node14\nnode 33 should be visited before node26\nnode 33 should be visited before node6\nnode 33 should be visited before node19\nnode 33 should be visited before node17\nnode 33 should be visited before node4\nnode 33 should be visited before node13\nnode 33 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,21,11,3,18,8,10,27,22,31,28,33,2,15,1,12,32,29,25,26,14,6,19,17,30,0,5,20,7,23,24,4,9,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph1183",
        "image": "data/topology/graph_visual/hard/graph1183.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node14\nnode 0 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 1 should be visited before node9\nnode 1 should be visited before node34\nnode 1 should be visited before node7\nnode 1 should be visited before node20\nnode 1 should be visited before node11\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 2 should be visited before node25\nnode 2 should be visited before node13\nnode 2 should be visited before node33\nnode 2 should be visited before node34\nnode 2 should be visited before node4\nnode 2 should be visited before node26\nnode 2 should be visited before node24\nnode 2 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node32\nnode 2 should be visited before node0\nnode 2 should be visited before node31\nnode 2 should be visited before node6\nnode 3 should be visited before node23\nnode 3 should be visited before node2\nnode 3 should be visited before node13\nnode 3 should be visited before node9\nnode 3 should be visited before node34\nnode 3 should be visited before node29\nnode 3 should be visited before node26\nnode 3 should be visited before node7\nnode 3 should be visited before node24\nnode 3 should be visited before node5\nnode 3 should be visited before node32\nnode 3 should be visited before node14\nnode 3 should be visited before node31\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node27\nnode 4 should be visited before node14\nnode 4 should be visited before node31\nnode 5 should be visited before node28\nnode 5 should be visited before node27\nnode 5 should be visited before node32\nnode 5 should be visited before node0\nnode 5 should be visited before node6\nnode 7 should be visited before node24\nnode 7 should be visited before node5\nnode 7 should be visited before node28\nnode 7 should be visited before node32\nnode 7 should be visited before node0\nnode 7 should be visited before node6\nnode 8 should be visited before node18\nnode 8 should be visited before node22\nnode 8 should be visited before node3\nnode 8 should be visited before node25\nnode 8 should be visited before node17\nnode 8 should be visited before node9\nnode 8 should be visited before node34\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node28\nnode 8 should be visited before node14\nnode 8 should be visited before node31\nnode 9 should be visited before node34\nnode 9 should be visited before node26\nnode 9 should be visited before node24\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node27\nnode 9 should be visited before node0\nnode 9 should be visited before node14\nnode 9 should be visited before node31\nnode 9 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node24\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node27\nnode 10 should be visited before node14\nnode 10 should be visited before node31\nnode 11 should be visited before node32\nnode 12 should be visited before node3\nnode 12 should be visited before node23\nnode 12 should be visited before node1\nnode 12 should be visited before node33\nnode 12 should be visited before node17\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 12 should be visited before node10\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node32\nnode 12 should be visited before node14\nnode 12 should be visited before node31\nnode 13 should be visited before node17\nnode 13 should be visited before node4\nnode 13 should be visited before node29\nnode 13 should be visited before node10\nnode 13 should be visited before node20\nnode 13 should be visited before node5\nnode 13 should be visited before node11\nnode 13 should be visited before node27\nnode 13 should be visited before node0\nnode 13 should be visited before node31\nnode 15 should be visited before node18\nnode 15 should be visited before node16\nnode 15 should be visited before node12\nnode 15 should be visited before node3\nnode 15 should be visited before node23\nnode 15 should be visited before node25\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 15 should be visited before node17\nnode 15 should be visited before node9\nnode 15 should be visited before node26\nnode 15 should be visited before node24\nnode 15 should be visited before node28\nnode 15 should be visited before node11\nnode 15 should be visited before node27\nnode 15 should be visited before node32\nnode 16 should be visited before node12\nnode 16 should be visited before node23\nnode 16 should be visited before node25\nnode 16 should be visited before node13\nnode 16 should be visited before node34\nnode 16 should be visited before node4\nnode 16 should be visited before node26\nnode 16 should be visited before node20\nnode 16 should be visited before node24\nnode 16 should be visited before node5\nnode 16 should be visited before node28\nnode 16 should be visited before node32\nnode 16 should be visited before node0\nnode 16 should be visited before node14\nnode 17 should be visited before node34\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node24\nnode 17 should be visited before node11\nnode 17 should be visited before node32\nnode 17 should be visited before node0\nnode 17 should be visited before node31\nnode 17 should be visited before node6\nnode 18 should be visited before node22\nnode 18 should be visited before node23\nnode 18 should be visited before node1\nnode 18 should be visited before node13\nnode 18 should be visited before node33\nnode 18 should be visited before node17\nnode 18 should be visited before node34\nnode 18 should be visited before node29\nnode 18 should be visited before node26\nnode 18 should be visited before node7\nnode 18 should be visited before node24\nnode 18 should be visited before node5\nnode 18 should be visited before node28\nnode 18 should be visited before node11\nnode 18 should be visited before node0\nnode 18 should be visited before node14\nnode 18 should be visited before node31\nnode 19 should be visited before node8\nnode 19 should be visited before node22\nnode 19 should be visited before node16\nnode 19 should be visited before node12\nnode 19 should be visited before node3\nnode 19 should be visited before node23\nnode 19 should be visited before node1\nnode 19 should be visited before node13\nnode 19 should be visited before node33\nnode 19 should be visited before node17\nnode 19 should be visited before node9\nnode 19 should be visited before node29\nnode 19 should be visited before node26\nnode 19 should be visited before node7\nnode 19 should be visited before node20\nnode 19 should be visited before node24\nnode 19 should be visited before node28\nnode 19 should be visited before node32\nnode 19 should be visited before node14\nnode 20 should be visited before node24\nnode 20 should be visited before node5\nnode 20 should be visited before node14\nnode 20 should be visited before node31\nnode 20 should be visited before node6\nnode 21 should be visited before node19\nnode 21 should be visited before node8\nnode 21 should be visited before node18\nnode 21 should be visited before node22\nnode 21 should be visited before node16\nnode 21 should be visited before node12\nnode 21 should be visited before node3\nnode 21 should be visited before node2\nnode 21 should be visited before node1\nnode 21 should be visited before node33\nnode 21 should be visited before node17\nnode 21 should be visited before node34\nnode 21 should be visited before node4\nnode 21 should be visited before node10\nnode 21 should be visited before node20\nnode 21 should be visited before node24\nnode 21 should be visited before node5\nnode 21 should be visited before node28\nnode 21 should be visited before node11\nnode 21 should be visited before node27\nnode 21 should be visited before node31\nnode 21 should be visited before node6\nnode 22 should be visited before node12\nnode 22 should be visited before node3\nnode 22 should be visited before node2\nnode 22 should be visited before node1\nnode 22 should be visited before node17\nnode 22 should be visited before node9\nnode 22 should be visited before node34\nnode 22 should be visited before node4\nnode 22 should be visited before node29\nnode 22 should be visited before node10\nnode 22 should be visited before node7\nnode 22 should be visited before node5\nnode 22 should be visited before node27\nnode 22 should be visited before node32\nnode 22 should be visited before node0\nnode 22 should be visited before node14\nnode 23 should be visited before node25\nnode 23 should be visited before node13\nnode 23 should be visited before node33\nnode 23 should be visited before node29\nnode 23 should be visited before node26\nnode 23 should be visited before node7\nnode 23 should be visited before node24\nnode 23 should be visited before node5\nnode 23 should be visited before node11\nnode 23 should be visited before node32\nnode 23 should be visited before node14\nnode 23 should be visited before node31\nnode 24 should be visited before node28\nnode 24 should be visited before node11\nnode 24 should be visited before node32\nnode 24 should be visited before node14\nnode 24 should be visited before node31\nnode 25 should be visited before node1\nnode 25 should be visited before node29\nnode 25 should be visited before node7\nnode 25 should be visited before node11\nnode 25 should be visited before node27\nnode 25 should be visited before node0\nnode 25 should be visited before node14\nnode 25 should be visited before node31\nnode 25 should be visited before node6\nnode 26 should be visited before node5\nnode 26 should be visited before node28\nnode 26 should be visited before node11\nnode 26 should be visited before node27\nnode 26 should be visited before node32\nnode 26 should be visited before node0\nnode 26 should be visited before node14\nnode 26 should be visited before node31\nnode 27 should be visited before node6\nnode 28 should be visited before node27\nnode 28 should be visited before node0\nnode 28 should be visited before node6\nnode 29 should be visited before node24\nnode 29 should be visited before node5\nnode 29 should be visited before node11\nnode 29 should be visited before node27\nnode 29 should be visited before node32\nnode 29 should be visited before node31\nnode 30 should be visited before node21\nnode 30 should be visited before node8\nnode 30 should be visited before node18\nnode 30 should be visited before node22\nnode 30 should be visited before node16\nnode 30 should be visited before node3\nnode 30 should be visited before node23\nnode 30 should be visited before node2\nnode 30 should be visited before node25\nnode 30 should be visited before node13\nnode 30 should be visited before node17\nnode 30 should be visited before node9\nnode 30 should be visited before node34\nnode 30 should be visited before node29\nnode 30 should be visited before node7\nnode 30 should be visited before node20\nnode 30 should be visited before node28\nnode 30 should be visited before node27\nnode 30 should be visited before node14\nnode 30 should be visited before node31\nnode 31 should be visited before node6\nnode 32 should be visited before node14\nnode 33 should be visited before node17\nnode 33 should be visited before node9\nnode 33 should be visited before node34\nnode 33 should be visited before node4\nnode 33 should be visited before node10\nnode 33 should be visited before node20\nnode 33 should be visited before node28\nnode 33 should be visited before node11\nnode 33 should be visited before node32\nnode 33 should be visited before node0\nnode 33 should be visited before node31\nnode 33 should be visited before node6\nnode 34 should be visited before node4\nnode 34 should be visited before node29\nnode 34 should be visited before node26\nnode 34 should be visited before node27\nnode 34 should be visited before node0\nnode 34 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,30,21,19,8,16,18,22,12,3,23,2,25,33,1,13,9,17,10,20,34,4,29,26,7,24,5,11,31,28,32,27,0,14,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph269",
        "image": "data/topology/graph_visual/hard/graph269.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node27\nnode 1 should be visited before node6\nnode 1 should be visited before node22\nnode 1 should be visited before node18\nnode 1 should be visited before node11\nnode 1 should be visited before node13\nnode 1 should be visited before node10\nnode 2 should be visited before node11\nnode 2 should be visited before node10\nnode 3 should be visited before node27\nnode 3 should be visited before node9\nnode 3 should be visited before node18\nnode 3 should be visited before node14\nnode 3 should be visited before node13\nnode 4 should be visited before node15\nnode 4 should be visited before node6\nnode 4 should be visited before node17\nnode 4 should be visited before node0\nnode 4 should be visited before node23\nnode 5 should be visited before node11\nnode 5 should be visited before node13\nnode 5 should be visited before node23\nnode 6 should be visited before node2\nnode 6 should be visited before node18\nnode 6 should be visited before node14\nnode 7 should be visited before node27\nnode 7 should be visited before node6\nnode 7 should be visited before node18\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node10\nnode 8 should be visited before node27\nnode 8 should be visited before node21\nnode 8 should be visited before node18\nnode 8 should be visited before node14\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 8 should be visited before node10\nnode 9 should be visited before node2\nnode 9 should be visited before node26\nnode 9 should be visited before node13\nnode 10 should be visited before node23\nnode 12 should be visited before node15\nnode 12 should be visited before node24\nnode 12 should be visited before node19\nnode 12 should be visited before node2\nnode 12 should be visited before node22\nnode 12 should be visited before node26\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node23\nnode 14 should be visited before node26\nnode 14 should be visited before node25\nnode 15 should be visited before node3\nnode 15 should be visited before node6\nnode 15 should be visited before node22\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 16 should be visited before node26\nnode 16 should be visited before node10\nnode 16 should be visited before node23\nnode 17 should be visited before node11\nnode 17 should be visited before node23\nnode 18 should be visited before node5\nnode 18 should be visited before node11\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node23\nnode 19 should be visited before node21\nnode 20 should be visited before node4\nnode 20 should be visited before node19\nnode 20 should be visited before node16\nnode 20 should be visited before node6\nnode 20 should be visited before node22\nnode 20 should be visited before node5\nnode 21 should be visited before node16\nnode 21 should be visited before node6\nnode 21 should be visited before node18\nnode 21 should be visited before node5\nnode 21 should be visited before node11\nnode 21 should be visited before node0\nnode 21 should be visited before node10\nnode 22 should be visited before node5\nnode 22 should be visited before node25\nnode 22 should be visited before node0\nnode 22 should be visited before node23\nnode 24 should be visited before node2\nnode 24 should be visited before node17\nnode 24 should be visited before node5\nnode 24 should be visited before node13\nnode 25 should be visited before node11\nnode 26 should be visited before node25\nnode 26 should be visited before node11\nnode 27 should be visited before node9\nnode 27 should be visited before node16\nnode 27 should be visited before node14\nnode 27 should be visited before node26\nnode 27 should be visited before node5\nnode 27 should be visited before node10\nnode 27 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,7,8,12,20,24,4,19,15,17,21,3,22,6,27,0,18,9,16,14,5,2,26,13,10,25,23,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph380",
        "image": "data/topology/graph_visual/hard/graph380.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node26\nnode 0 should be visited before node7\nnode 0 should be visited before node22\nnode 0 should be visited before node21\nnode 0 should be visited before node16\nnode 0 should be visited before node23\nnode 1 should be visited before node25\nnode 1 should be visited before node10\nnode 1 should be visited before node15\nnode 1 should be visited before node16\nnode 1 should be visited before node18\nnode 1 should be visited before node23\nnode 2 should be visited before node12\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 2 should be visited before node28\nnode 2 should be visited before node17\nnode 3 should be visited before node22\nnode 3 should be visited before node17\nnode 3 should be visited before node18\nnode 4 should be visited before node21\nnode 4 should be visited before node18\nnode 4 should be visited before node23\nnode 5 should be visited before node8\nnode 5 should be visited before node0\nnode 5 should be visited before node22\nnode 5 should be visited before node4\nnode 5 should be visited before node18\nnode 6 should be visited before node1\nnode 6 should be visited before node19\nnode 6 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node26\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node21\nnode 6 should be visited before node16\nnode 6 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node4\nnode 7 should be visited before node16\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node21\nnode 9 should be visited before node1\nnode 9 should be visited before node20\nnode 9 should be visited before node19\nnode 9 should be visited before node11\nnode 9 should be visited before node4\nnode 9 should be visited before node21\nnode 9 should be visited before node18\nnode 10 should be visited before node3\nnode 11 should be visited before node22\nnode 11 should be visited before node28\nnode 12 should be visited before node1\nnode 12 should be visited before node25\nnode 12 should be visited before node19\nnode 12 should be visited before node13\nnode 12 should be visited before node10\nnode 12 should be visited before node0\nnode 12 should be visited before node15\nnode 12 should be visited before node26\nnode 12 should be visited before node22\nnode 13 should be visited before node0\nnode 13 should be visited before node15\nnode 13 should be visited before node26\nnode 13 should be visited before node21\nnode 13 should be visited before node17\nnode 13 should be visited before node23\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node28\nnode 14 should be visited before node4\nnode 14 should be visited before node21\nnode 14 should be visited before node16\nnode 14 should be visited before node18\nnode 14 should be visited before node23\nnode 15 should be visited before node26\nnode 15 should be visited before node4\nnode 15 should be visited before node21\nnode 15 should be visited before node17\nnode 17 should be visited before node16\nnode 19 should be visited before node8\nnode 19 should be visited before node0\nnode 19 should be visited before node22\nnode 19 should be visited before node23\nnode 20 should be visited before node19\nnode 20 should be visited before node26\nnode 20 should be visited before node7\nnode 20 should be visited before node3\nnode 20 should be visited before node28\nnode 20 should be visited before node21\nnode 20 should be visited before node17\nnode 21 should be visited before node17\nnode 21 should be visited before node18\nnode 22 should be visited before node17\nnode 24 should be visited before node5\nnode 24 should be visited before node8\nnode 24 should be visited before node0\nnode 24 should be visited before node11\nnode 24 should be visited before node26\nnode 24 should be visited before node4\nnode 24 should be visited before node18\nnode 25 should be visited before node13\nnode 25 should be visited before node0\nnode 25 should be visited before node11\nnode 25 should be visited before node26\nnode 25 should be visited before node7\nnode 25 should be visited before node18\nnode 25 should be visited before node23\nnode 26 should be visited before node21\nnode 26 should be visited before node18\nnode 27 should be visited before node24\nnode 27 should be visited before node25\nnode 27 should be visited before node13\nnode 27 should be visited before node0\nnode 27 should be visited before node3\nnode 27 should be visited before node22\nnode 27 should be visited before node21\nnode 27 should be visited before node17\nnode 28 should be visited before node4\nnode 28 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,6,9,14,27,12,20,24,1,19,5,25,10,8,13,11,0,15,28,7,26,3,4,22,21,23,17,18,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph524",
        "image": "data/topology/graph_visual/hard/graph524.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node11\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 0 should be visited before node26\nnode 0 should be visited before node5\nnode 0 should be visited before node27\nnode 0 should be visited before node15\nnode 1 should be visited before node15\nnode 1 should be visited before node24\nnode 1 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node0\nnode 2 should be visited before node11\nnode 2 should be visited before node14\nnode 2 should be visited before node25\nnode 2 should be visited before node21\nnode 2 should be visited before node28\nnode 2 should be visited before node26\nnode 2 should be visited before node12\nnode 2 should be visited before node19\nnode 2 should be visited before node23\nnode 2 should be visited before node7\nnode 2 should be visited before node1\nnode 2 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node22\nnode 3 should be visited before node8\nnode 3 should be visited before node18\nnode 3 should be visited before node24\nnode 4 should be visited before node19\nnode 4 should be visited before node23\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node18\nnode 5 should be visited before node23\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 5 should be visited before node1\nnode 7 should be visited before node8\nnode 7 should be visited before node17\nnode 7 should be visited before node6\nnode 8 should be visited before node17\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 9 should be visited before node22\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 11 should be visited before node25\nnode 11 should be visited before node4\nnode 11 should be visited before node28\nnode 11 should be visited before node16\nnode 11 should be visited before node27\nnode 11 should be visited before node18\nnode 12 should be visited before node17\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 13 should be visited before node0\nnode 13 should be visited before node3\nnode 13 should be visited before node1\nnode 13 should be visited before node6\nnode 14 should be visited before node25\nnode 14 should be visited before node9\nnode 14 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node23\nnode 14 should be visited before node22\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 15 should be visited before node24\nnode 15 should be visited before node6\nnode 16 should be visited before node1\nnode 16 should be visited before node15\nnode 16 should be visited before node24\nnode 16 should be visited before node6\nnode 17 should be visited before node1\nnode 17 should be visited before node18\nnode 17 should be visited before node6\nnode 18 should be visited before node15\nnode 18 should be visited before node10\nnode 18 should be visited before node24\nnode 18 should be visited before node6\nnode 19 should be visited before node23\nnode 19 should be visited before node7\nnode 19 should be visited before node8\nnode 19 should be visited before node1\nnode 20 should be visited before node0\nnode 20 should be visited before node25\nnode 20 should be visited before node28\nnode 20 should be visited before node26\nnode 20 should be visited before node16\nnode 20 should be visited before node19\nnode 20 should be visited before node27\nnode 20 should be visited before node24\nnode 20 should be visited before node6\nnode 21 should be visited before node4\nnode 21 should be visited before node28\nnode 21 should be visited before node9\nnode 21 should be visited before node19\nnode 21 should be visited before node27\nnode 21 should be visited before node8\nnode 21 should be visited before node1\nnode 21 should be visited before node18\nnode 22 should be visited before node17\nnode 23 should be visited before node7\nnode 23 should be visited before node8\nnode 23 should be visited before node17\nnode 23 should be visited before node1\nnode 23 should be visited before node24\nnode 23 should be visited before node6\nnode 24 should be visited before node6\nnode 25 should be visited before node21\nnode 25 should be visited before node4\nnode 25 should be visited before node16\nnode 25 should be visited before node23\nnode 25 should be visited before node7\nnode 25 should be visited before node22\nnode 25 should be visited before node1\nnode 25 should be visited before node10\nnode 26 should be visited before node12\nnode 26 should be visited before node5\nnode 26 should be visited before node27\nnode 26 should be visited before node15\nnode 26 should be visited before node24\nnode 26 should be visited before node6\nnode 27 should be visited before node7\nnode 27 should be visited before node18\nnode 27 should be visited before node15\nnode 27 should be visited before node10\nnode 28 should be visited before node9\nnode 28 should be visited before node16\nnode 28 should be visited before node12\nnode 28 should be visited before node5\nnode 28 should be visited before node27\nnode 28 should be visited before node7\nnode 28 should be visited before node18\nnode 28 should be visited before node10\nnode 28 should be visited before node6\nnode 29 should be visited before node0\nnode 29 should be visited before node11\nnode 29 should be visited before node4\nnode 29 should be visited before node16\nnode 29 should be visited before node10\nnode 29 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,13,29,20,14,0,11,26,25,21,4,28,19,9,16,12,5,27,23,3,7,22,8,17,1,18,15,10,24,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph172",
        "image": "data/topology/graph_visual/hard/graph172.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node16\nnode 0 should be visited before node23\nnode 1 should be visited before node4\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 2 should be visited before node20\nnode 2 should be visited before node14\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node16\nnode 2 should be visited before node13\nnode 2 should be visited before node15\nnode 3 should be visited before node22\nnode 3 should be visited before node25\nnode 3 should be visited before node20\nnode 3 should be visited before node14\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node24\nnode 3 should be visited before node23\nnode 3 should be visited before node17\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 4 should be visited before node18\nnode 4 should be visited before node13\nnode 4 should be visited before node24\nnode 4 should be visited before node23\nnode 4 should be visited before node15\nnode 5 should be visited before node13\nnode 5 should be visited before node17\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 6 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node23\nnode 6 should be visited before node17\nnode 7 should be visited before node15\nnode 8 should be visited before node24\nnode 8 should be visited before node23\nnode 9 should be visited before node3\nnode 9 should be visited before node14\nnode 9 should be visited before node8\nnode 9 should be visited before node17\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node15\nnode 11 should be visited before node25\nnode 11 should be visited before node20\nnode 11 should be visited before node12\nnode 11 should be visited before node4\nnode 11 should be visited before node16\nnode 11 should be visited before node23\nnode 11 should be visited before node15\nnode 12 should be visited before node8\nnode 12 should be visited before node13\nnode 12 should be visited before node23\nnode 12 should be visited before node15\nnode 14 should be visited before node12\nnode 14 should be visited before node4\nnode 14 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node24\nnode 15 should be visited before node17\nnode 16 should be visited before node24\nnode 16 should be visited before node23\nnode 18 should be visited before node0\nnode 18 should be visited before node15\nnode 19 should be visited before node3\nnode 19 should be visited before node2\nnode 19 should be visited before node20\nnode 19 should be visited before node12\nnode 19 should be visited before node4\nnode 19 should be visited before node13\nnode 19 should be visited before node15\nnode 19 should be visited before node17\nnode 20 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node16\nnode 20 should be visited before node23\nnode 21 should be visited before node6\nnode 21 should be visited before node14\nnode 21 should be visited before node4\nnode 21 should be visited before node5\nnode 21 should be visited before node23\nnode 21 should be visited before node17\nnode 22 should be visited before node4\nnode 22 should be visited before node7\nnode 22 should be visited before node5\nnode 22 should be visited before node13\nnode 22 should be visited before node23\nnode 23 should be visited before node17\nnode 24 should be visited before node17\nnode 25 should be visited before node20\nnode 25 should be visited before node4\nnode 25 should be visited before node7\nnode 25 should be visited before node5\nnode 25 should be visited before node24\nnode 26 should be visited before node25\nnode 26 should be visited before node12\nnode 26 should be visited before node1\nnode 26 should be visited before node4\nnode 26 should be visited before node24\nnode 26 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,10,11,19,21,26,3,2,6,22,25,14,20,12,1,4,7,8,5,18,13,0,15,16,24,23,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph695",
        "image": "data/topology/graph_visual/hard/graph695.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node12\nnode 0 should be visited before node28\nnode 0 should be visited before node15\nnode 0 should be visited before node25\nnode 0 should be visited before node27\nnode 1 should be visited before node27\nnode 2 should be visited before node16\nnode 2 should be visited before node0\nnode 2 should be visited before node20\nnode 2 should be visited before node5\nnode 2 should be visited before node12\nnode 2 should be visited before node24\nnode 2 should be visited before node18\nnode 2 should be visited before node15\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node27\nnode 3 should be visited before node1\nnode 4 should be visited before node22\nnode 4 should be visited before node6\nnode 4 should be visited before node21\nnode 4 should be visited before node26\nnode 4 should be visited before node8\nnode 4 should be visited before node17\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 4 should be visited before node0\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node24\nnode 4 should be visited before node18\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node25\nnode 4 should be visited before node27\nnode 5 should be visited before node12\nnode 5 should be visited before node24\nnode 5 should be visited before node18\nnode 5 should be visited before node28\nnode 5 should be visited before node15\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 5 should be visited before node1\nnode 6 should be visited before node21\nnode 6 should be visited before node13\nnode 6 should be visited before node17\nnode 6 should be visited before node9\nnode 6 should be visited before node16\nnode 6 should be visited before node0\nnode 6 should be visited before node20\nnode 6 should be visited before node5\nnode 6 should be visited before node18\nnode 6 should be visited before node28\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node25\nnode 7 should be visited before node25\nnode 7 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node23\nnode 8 should be visited before node0\nnode 8 should be visited before node18\nnode 8 should be visited before node28\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 9 should be visited before node29\nnode 9 should be visited before node2\nnode 9 should be visited before node23\nnode 9 should be visited before node16\nnode 9 should be visited before node5\nnode 9 should be visited before node12\nnode 9 should be visited before node24\nnode 9 should be visited before node18\nnode 9 should be visited before node28\nnode 9 should be visited before node15\nnode 9 should be visited before node7\nnode 10 should be visited before node27\nnode 11 should be visited before node6\nnode 11 should be visited before node21\nnode 11 should be visited before node26\nnode 11 should be visited before node8\nnode 11 should be visited before node17\nnode 11 should be visited before node14\nnode 11 should be visited before node29\nnode 11 should be visited before node2\nnode 11 should be visited before node16\nnode 11 should be visited before node20\nnode 11 should be visited before node18\nnode 11 should be visited before node28\nnode 11 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 11 should be visited before node25\nnode 11 should be visited before node27\nnode 12 should be visited before node24\nnode 12 should be visited before node25\nnode 13 should be visited before node8\nnode 13 should be visited before node17\nnode 13 should be visited before node9\nnode 13 should be visited before node23\nnode 13 should be visited before node16\nnode 13 should be visited before node20\nnode 13 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node15\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node25\nnode 13 should be visited before node1\nnode 13 should be visited before node27\nnode 14 should be visited before node9\nnode 14 should be visited before node2\nnode 14 should be visited before node16\nnode 14 should be visited before node5\nnode 14 should be visited before node24\nnode 14 should be visited before node28\nnode 14 should be visited before node7\nnode 15 should be visited before node10\nnode 15 should be visited before node25\nnode 15 should be visited before node1\nnode 15 should be visited before node27\nnode 16 should be visited before node0\nnode 16 should be visited before node5\nnode 16 should be visited before node24\nnode 16 should be visited before node18\nnode 16 should be visited before node7\nnode 16 should be visited before node25\nnode 16 should be visited before node1\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 17 should be visited before node29\nnode 17 should be visited before node16\nnode 17 should be visited before node5\nnode 17 should be visited before node12\nnode 17 should be visited before node24\nnode 17 should be visited before node28\nnode 17 should be visited before node10\nnode 17 should be visited before node1\nnode 18 should be visited before node28\nnode 18 should be visited before node10\nnode 19 should be visited before node30\nnode 19 should be visited before node11\nnode 19 should be visited before node22\nnode 19 should be visited before node21\nnode 19 should be visited before node13\nnode 19 should be visited before node17\nnode 19 should be visited before node9\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node5\nnode 19 should be visited before node12\nnode 19 should be visited before node18\nnode 19 should be visited before node28\nnode 19 should be visited before node10\nnode 19 should be visited before node3\nnode 19 should be visited before node25\nnode 19 should be visited before node1\nnode 20 should be visited before node5\nnode 20 should be visited before node24\nnode 20 should be visited before node18\nnode 20 should be visited before node28\nnode 20 should be visited before node25\nnode 20 should be visited before node1\nnode 21 should be visited before node26\nnode 21 should be visited before node8\nnode 21 should be visited before node9\nnode 21 should be visited before node29\nnode 21 should be visited before node23\nnode 21 should be visited before node5\nnode 21 should be visited before node12\nnode 21 should be visited before node24\nnode 21 should be visited before node18\nnode 21 should be visited before node15\nnode 21 should be visited before node10\nnode 21 should be visited before node25\nnode 21 should be visited before node1\nnode 22 should be visited before node6\nnode 22 should be visited before node21\nnode 22 should be visited before node13\nnode 22 should be visited before node26\nnode 22 should be visited before node8\nnode 22 should be visited before node17\nnode 22 should be visited before node29\nnode 22 should be visited before node2\nnode 22 should be visited before node16\nnode 22 should be visited before node0\nnode 22 should be visited before node5\nnode 22 should be visited before node12\nnode 22 should be visited before node24\nnode 22 should be visited before node28\nnode 22 should be visited before node15\nnode 22 should be visited before node1\nnode 22 should be visited before node27\nnode 23 should be visited before node16\nnode 23 should be visited before node0\nnode 23 should be visited before node20\nnode 23 should be visited before node5\nnode 23 should be visited before node12\nnode 23 should be visited before node10\nnode 23 should be visited before node3\nnode 23 should be visited before node27\nnode 24 should be visited before node15\nnode 24 should be visited before node3\nnode 24 should be visited before node25\nnode 24 should be visited before node1\nnode 25 should be visited before node1\nnode 26 should be visited before node14\nnode 26 should be visited before node2\nnode 26 should be visited before node16\nnode 26 should be visited before node15\nnode 26 should be visited before node10\nnode 26 should be visited before node1\nnode 28 should be visited before node15\nnode 28 should be visited before node3\nnode 28 should be visited before node25\nnode 28 should be visited before node27\nnode 29 should be visited before node16\nnode 29 should be visited before node0\nnode 29 should be visited before node20\nnode 29 should be visited before node18\nnode 29 should be visited before node28\nnode 29 should be visited before node15\nnode 29 should be visited before node10\nnode 29 should be visited before node3\nnode 29 should be visited before node7\nnode 29 should be visited before node25\nnode 30 should be visited before node11\nnode 30 should be visited before node22\nnode 30 should be visited before node6\nnode 30 should be visited before node21\nnode 30 should be visited before node26\nnode 30 should be visited before node8\nnode 30 should be visited before node14\nnode 30 should be visited before node9\nnode 30 should be visited before node29\nnode 30 should be visited before node23\nnode 30 should be visited before node16\nnode 30 should be visited before node0\nnode 30 should be visited before node12\nnode 30 should be visited before node24\nnode 30 should be visited before node18\nnode 30 should be visited before node28\nnode 30 should be visited before node15\nnode 30 should be visited before node7\nnode 30 should be visited before node25\nnode 30 should be visited before node1\nnode 30 should be visited before node27\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,19,30,11,22,6,21,13,26,8,17,14,9,29,2,23,16,20,0,5,12,18,7,24,28,15,3,10,25,1,27."
            }
        ]
    },
    {
        "id": "topology-hard-graph895",
        "image": "data/topology/graph_visual/hard/graph895.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node4\nnode 0 should be visited before node27\nnode 0 should be visited before node5\nnode 0 should be visited before node20\nnode 0 should be visited before node22\nnode 0 should be visited before node24\nnode 0 should be visited before node25\nnode 0 should be visited before node19\nnode 1 should be visited before node18\nnode 1 should be visited before node30\nnode 1 should be visited before node27\nnode 1 should be visited before node28\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 1 should be visited before node29\nnode 1 should be visited before node9\nnode 1 should be visited before node26\nnode 1 should be visited before node24\nnode 1 should be visited before node25\nnode 1 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node29\nnode 2 should be visited before node21\nnode 2 should be visited before node12\nnode 2 should be visited before node26\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 2 should be visited before node19\nnode 2 should be visited before node7\nnode 3 should be visited before node16\nnode 3 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node30\nnode 3 should be visited before node27\nnode 3 should be visited before node28\nnode 3 should be visited before node5\nnode 3 should be visited before node15\nnode 3 should be visited before node22\nnode 3 should be visited before node9\nnode 3 should be visited before node19\nnode 3 should be visited before node7\nnode 4 should be visited before node30\nnode 4 should be visited before node27\nnode 4 should be visited before node6\nnode 4 should be visited before node25\nnode 5 should be visited before node12\nnode 5 should be visited before node9\nnode 5 should be visited before node24\nnode 5 should be visited before node25\nnode 5 should be visited before node19\nnode 6 should be visited before node10\nnode 6 should be visited before node15\nnode 6 should be visited before node22\nnode 6 should be visited before node26\nnode 6 should be visited before node19\nnode 6 should be visited before node7\nnode 8 should be visited before node22\nnode 8 should be visited before node9\nnode 8 should be visited before node24\nnode 9 should be visited before node26\nnode 9 should be visited before node25\nnode 9 should be visited before node19\nnode 9 should be visited before node7\nnode 10 should be visited before node29\nnode 10 should be visited before node21\nnode 10 should be visited before node24\nnode 10 should be visited before node7\nnode 11 should be visited before node14\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node27\nnode 11 should be visited before node28\nnode 11 should be visited before node29\nnode 11 should be visited before node20\nnode 11 should be visited before node12\nnode 11 should be visited before node24\nnode 11 should be visited before node25\nnode 11 should be visited before node23\nnode 12 should be visited before node25\nnode 12 should be visited before node23\nnode 13 should be visited before node32\nnode 13 should be visited before node14\nnode 13 should be visited before node4\nnode 13 should be visited before node5\nnode 13 should be visited before node15\nnode 13 should be visited before node12\nnode 13 should be visited before node24\nnode 14 should be visited before node0\nnode 14 should be visited before node30\nnode 14 should be visited before node5\nnode 14 should be visited before node8\nnode 14 should be visited before node29\nnode 14 should be visited before node15\nnode 14 should be visited before node26\nnode 14 should be visited before node19\nnode 15 should be visited before node23\nnode 15 should be visited before node19\nnode 15 should be visited before node7\nnode 16 should be visited before node1\nnode 16 should be visited before node28\nnode 16 should be visited before node29\nnode 16 should be visited before node25\nnode 16 should be visited before node19\nnode 16 should be visited before node7\nnode 17 should be visited before node14\nnode 17 should be visited before node6\nnode 17 should be visited before node28\nnode 17 should be visited before node5\nnode 17 should be visited before node8\nnode 17 should be visited before node21\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 17 should be visited before node26\nnode 18 should be visited before node27\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 18 should be visited before node15\nnode 20 should be visited before node15\nnode 20 should be visited before node23\nnode 21 should be visited before node15\nnode 21 should be visited before node22\nnode 22 should be visited before node9\nnode 24 should be visited before node25\nnode 24 should be visited before node7\nnode 25 should be visited before node23\nnode 25 should be visited before node7\nnode 26 should be visited before node25\nnode 26 should be visited before node7\nnode 27 should be visited before node6\nnode 27 should be visited before node5\nnode 27 should be visited before node29\nnode 27 should be visited before node12\nnode 27 should be visited before node9\nnode 27 should be visited before node26\nnode 27 should be visited before node24\nnode 27 should be visited before node25\nnode 27 should be visited before node23\nnode 27 should be visited before node7\nnode 28 should be visited before node10\nnode 28 should be visited before node5\nnode 28 should be visited before node21\nnode 28 should be visited before node20\nnode 28 should be visited before node12\nnode 29 should be visited before node20\nnode 29 should be visited before node23\nnode 29 should be visited before node7\nnode 30 should be visited before node27\nnode 30 should be visited before node10\nnode 30 should be visited before node29\nnode 30 should be visited before node21\nnode 30 should be visited before node22\nnode 30 should be visited before node9\nnode 30 should be visited before node23\nnode 31 should be visited before node1\nnode 31 should be visited before node18\nnode 31 should be visited before node27\nnode 31 should be visited before node6\nnode 31 should be visited before node10\nnode 31 should be visited before node15\nnode 31 should be visited before node9\nnode 32 should be visited before node1\nnode 32 should be visited before node0\nnode 32 should be visited before node30\nnode 32 should be visited before node27\nnode 32 should be visited before node29\nnode 32 should be visited before node21\nnode 32 should be visited before node20\nnode 32 should be visited before node9\nnode 32 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,13,17,31,16,11,32,14,2,1,0,18,28,8,4,30,27,6,5,10,12,29,21,24,20,22,15,9,26,19,25,23,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph277",
        "image": "data/topology/graph_visual/hard/graph277.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node17\nnode 0 should be visited before node22\nnode 1 should be visited before node17\nnode 1 should be visited before node10\nnode 1 should be visited before node25\nnode 1 should be visited before node18\nnode 1 should be visited before node21\nnode 2 should be visited before node0\nnode 2 should be visited before node17\nnode 2 should be visited before node10\nnode 2 should be visited before node24\nnode 3 should be visited before node14\nnode 3 should be visited before node1\nnode 3 should be visited before node17\nnode 3 should be visited before node22\nnode 3 should be visited before node25\nnode 3 should be visited before node21\nnode 3 should be visited before node12\nnode 3 should be visited before node23\nnode 4 should be visited before node13\nnode 4 should be visited before node0\nnode 4 should be visited before node15\nnode 4 should be visited before node26\nnode 4 should be visited before node22\nnode 4 should be visited before node21\nnode 4 should be visited before node23\nnode 5 should be visited before node27\nnode 5 should be visited before node2\nnode 5 should be visited before node7\nnode 6 should be visited before node26\nnode 6 should be visited before node17\nnode 6 should be visited before node10\nnode 6 should be visited before node24\nnode 6 should be visited before node21\nnode 6 should be visited before node23\nnode 7 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node17\nnode 7 should be visited before node11\nnode 7 should be visited before node25\nnode 8 should be visited before node3\nnode 8 should be visited before node9\nnode 8 should be visited before node11\nnode 8 should be visited before node22\nnode 8 should be visited before node25\nnode 8 should be visited before node18\nnode 9 should be visited before node26\nnode 9 should be visited before node10\nnode 9 should be visited before node12\nnode 10 should be visited before node16\nnode 10 should be visited before node25\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 13 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node12\nnode 13 should be visited before node23\nnode 14 should be visited before node26\nnode 14 should be visited before node17\nnode 14 should be visited before node22\nnode 14 should be visited before node24\nnode 14 should be visited before node16\nnode 14 should be visited before node23\nnode 15 should be visited before node6\nnode 15 should be visited before node14\nnode 15 should be visited before node1\nnode 15 should be visited before node22\nnode 15 should be visited before node24\nnode 15 should be visited before node16\nnode 15 should be visited before node25\nnode 15 should be visited before node18\nnode 16 should be visited before node12\nnode 16 should be visited before node23\nnode 17 should be visited before node11\nnode 19 should be visited before node3\nnode 19 should be visited before node2\nnode 19 should be visited before node7\nnode 19 should be visited before node15\nnode 19 should be visited before node6\nnode 19 should be visited before node10\nnode 19 should be visited before node16\nnode 19 should be visited before node21\nnode 20 should be visited before node27\nnode 20 should be visited before node3\nnode 20 should be visited before node0\nnode 20 should be visited before node6\nnode 20 should be visited before node14\nnode 20 should be visited before node22\nnode 20 should be visited before node16\nnode 20 should be visited before node18\nnode 20 should be visited before node21\nnode 20 should be visited before node12\nnode 21 should be visited before node23\nnode 22 should be visited before node16\nnode 22 should be visited before node21\nnode 22 should be visited before node23\nnode 24 should be visited before node18\nnode 24 should be visited before node23\nnode 26 should be visited before node11\nnode 26 should be visited before node16\nnode 26 should be visited before node18\nnode 27 should be visited before node9\nnode 27 should be visited before node6\nnode 27 should be visited before node11\nnode 27 should be visited before node18\nnode 27 should be visited before node21\nnode 27 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,8,19,20,13,2,7,27,3,0,15,9,6,14,1,26,22,24,17,21,18,11,10,16,25,12,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph634",
        "image": "data/topology/graph_visual/hard/graph634.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node22\nnode 0 should be visited before node14\nnode 0 should be visited before node1\nnode 0 should be visited before node10\nnode 0 should be visited before node18\nnode 0 should be visited before node2\nnode 0 should be visited before node28\nnode 1 should be visited before node8\nnode 1 should be visited before node18\nnode 1 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node13\nnode 3 should be visited before node18\nnode 3 should be visited before node5\nnode 4 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node28\nnode 5 should be visited before node28\nnode 6 should be visited before node12\nnode 6 should be visited before node15\nnode 6 should be visited before node21\nnode 6 should be visited before node13\nnode 6 should be visited before node18\nnode 6 should be visited before node5\nnode 6 should be visited before node28\nnode 8 should be visited before node5\nnode 8 should be visited before node7\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 10 should be visited before node9\nnode 10 should be visited before node18\nnode 10 should be visited before node2\nnode 10 should be visited before node28\nnode 11 should be visited before node24\nnode 11 should be visited before node17\nnode 11 should be visited before node16\nnode 11 should be visited before node30\nnode 11 should be visited before node1\nnode 11 should be visited before node20\nnode 12 should be visited before node17\nnode 12 should be visited before node23\nnode 12 should be visited before node26\nnode 12 should be visited before node21\nnode 12 should be visited before node20\nnode 12 should be visited before node2\nnode 13 should be visited before node7\nnode 14 should be visited before node19\nnode 14 should be visited before node10\nnode 14 should be visited before node8\nnode 14 should be visited before node13\nnode 14 should be visited before node9\nnode 14 should be visited before node5\nnode 15 should be visited before node26\nnode 15 should be visited before node30\nnode 15 should be visited before node21\nnode 15 should be visited before node1\nnode 15 should be visited before node4\nnode 15 should be visited before node9\nnode 15 should be visited before node5\nnode 15 should be visited before node7\nnode 16 should be visited before node21\nnode 16 should be visited before node1\nnode 16 should be visited before node4\nnode 16 should be visited before node29\nnode 16 should be visited before node5\nnode 17 should be visited before node15\nnode 17 should be visited before node16\nnode 17 should be visited before node30\nnode 17 should be visited before node1\nnode 17 should be visited before node19\nnode 17 should be visited before node10\nnode 17 should be visited before node3\nnode 17 should be visited before node13\nnode 17 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node25\nnode 19 should be visited before node29\nnode 19 should be visited before node9\nnode 19 should be visited before node18\nnode 19 should be visited before node28\nnode 21 should be visited before node10\nnode 21 should be visited before node20\nnode 21 should be visited before node8\nnode 21 should be visited before node9\nnode 21 should be visited before node18\nnode 21 should be visited before node7\nnode 22 should be visited before node19\nnode 22 should be visited before node10\nnode 22 should be visited before node9\nnode 22 should be visited before node5\nnode 22 should be visited before node7\nnode 22 should be visited before node2\nnode 23 should be visited before node26\nnode 23 should be visited before node30\nnode 23 should be visited before node3\nnode 23 should be visited before node29\nnode 23 should be visited before node8\nnode 23 should be visited before node13\nnode 23 should be visited before node28\nnode 24 should be visited before node15\nnode 24 should be visited before node23\nnode 24 should be visited before node21\nnode 24 should be visited before node3\nnode 24 should be visited before node20\nnode 24 should be visited before node8\nnode 24 should be visited before node9\nnode 24 should be visited before node7\nnode 24 should be visited before node2\nnode 24 should be visited before node28\nnode 25 should be visited before node8\nnode 25 should be visited before node7\nnode 25 should be visited before node28\nnode 26 should be visited before node16\nnode 26 should be visited before node30\nnode 26 should be visited before node3\nnode 26 should be visited before node20\nnode 27 should be visited before node12\nnode 27 should be visited before node15\nnode 27 should be visited before node22\nnode 27 should be visited before node14\nnode 27 should be visited before node30\nnode 27 should be visited before node1\nnode 27 should be visited before node25\nnode 27 should be visited before node8\nnode 27 should be visited before node18\nnode 27 should be visited before node2\nnode 29 should be visited before node18\nnode 29 should be visited before node5\nnode 29 should be visited before node2\nnode 29 should be visited before node28\nnode 30 should be visited before node1\nnode 30 should be visited before node19\nnode 30 should be visited before node4\nnode 30 should be visited before node9\nnode 30 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,6,11,27,24,12,22,14,17,23,15,26,16,30,21,1,19,4,10,20,3,25,29,9,13,8,18,2,5,7,28."
            }
        ]
    },
    {
        "id": "topology-hard-graph908",
        "image": "data/topology/graph_visual/hard/graph908.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node25\nnode 0 should be visited before node1\nnode 0 should be visited before node10\nnode 0 should be visited before node30\nnode 0 should be visited before node20\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node17\nnode 1 should be visited before node20\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node17\nnode 2 should be visited before node22\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node30\nnode 2 should be visited before node20\nnode 2 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node2\nnode 3 should be visited before node27\nnode 3 should be visited before node22\nnode 3 should be visited before node5\nnode 3 should be visited before node18\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node30\nnode 3 should be visited before node20\nnode 3 should be visited before node6\nnode 3 should be visited before node8\nnode 4 should be visited before node6\nnode 4 should be visited before node8\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 6 should be visited before node17\nnode 7 should be visited before node26\nnode 7 should be visited before node0\nnode 7 should be visited before node19\nnode 7 should be visited before node3\nnode 7 should be visited before node31\nnode 7 should be visited before node32\nnode 7 should be visited before node2\nnode 7 should be visited before node22\nnode 7 should be visited before node1\nnode 7 should be visited before node4\nnode 9 should be visited before node25\nnode 9 should be visited before node29\nnode 9 should be visited before node2\nnode 9 should be visited before node22\nnode 9 should be visited before node1\nnode 9 should be visited before node30\nnode 9 should be visited before node20\nnode 9 should be visited before node6\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 11 should be visited before node14\nnode 11 should be visited before node24\nnode 11 should be visited before node26\nnode 11 should be visited before node0\nnode 11 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node12\nnode 11 should be visited before node9\nnode 11 should be visited before node32\nnode 11 should be visited before node2\nnode 11 should be visited before node5\nnode 11 should be visited before node18\nnode 11 should be visited before node1\nnode 11 should be visited before node10\nnode 11 should be visited before node30\nnode 11 should be visited before node6\nnode 11 should be visited before node8\nnode 11 should be visited before node17\nnode 12 should be visited before node25\nnode 12 should be visited before node32\nnode 12 should be visited before node2\nnode 12 should be visited before node22\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node20\nnode 12 should be visited before node4\nnode 13 should be visited before node31\nnode 13 should be visited before node25\nnode 13 should be visited before node32\nnode 13 should be visited before node2\nnode 13 should be visited before node27\nnode 13 should be visited before node22\nnode 13 should be visited before node5\nnode 13 should be visited before node18\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node30\nnode 13 should be visited before node4\nnode 13 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node19\nnode 14 should be visited before node3\nnode 14 should be visited before node31\nnode 14 should be visited before node28\nnode 14 should be visited before node25\nnode 14 should be visited before node32\nnode 14 should be visited before node2\nnode 14 should be visited before node27\nnode 14 should be visited before node22\nnode 14 should be visited before node5\nnode 14 should be visited before node10\nnode 14 should be visited before node30\nnode 14 should be visited before node20\nnode 14 should be visited before node4\nnode 14 should be visited before node8\nnode 14 should be visited before node17\nnode 15 should be visited before node11\nnode 15 should be visited before node21\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 15 should be visited before node26\nnode 15 should be visited before node23\nnode 15 should be visited before node31\nnode 15 should be visited before node28\nnode 15 should be visited before node9\nnode 15 should be visited before node25\nnode 15 should be visited before node29\nnode 15 should be visited before node22\nnode 15 should be visited before node1\nnode 15 should be visited before node4\nnode 15 should be visited before node6\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 16 should be visited before node24\nnode 16 should be visited before node26\nnode 16 should be visited before node0\nnode 16 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node9\nnode 16 should be visited before node32\nnode 16 should be visited before node2\nnode 16 should be visited before node27\nnode 16 should be visited before node22\nnode 16 should be visited before node5\nnode 16 should be visited before node6\nnode 18 should be visited before node1\nnode 18 should be visited before node20\nnode 18 should be visited before node6\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 19 should be visited before node31\nnode 19 should be visited before node28\nnode 19 should be visited before node25\nnode 19 should be visited before node32\nnode 19 should be visited before node22\nnode 19 should be visited before node18\nnode 19 should be visited before node1\nnode 19 should be visited before node30\nnode 19 should be visited before node20\nnode 19 should be visited before node4\nnode 19 should be visited before node6\nnode 19 should be visited before node17\nnode 20 should be visited before node6\nnode 21 should be visited before node7\nnode 21 should be visited before node24\nnode 21 should be visited before node26\nnode 21 should be visited before node23\nnode 21 should be visited before node28\nnode 21 should be visited before node12\nnode 21 should be visited before node9\nnode 21 should be visited before node29\nnode 21 should be visited before node32\nnode 21 should be visited before node22\nnode 21 should be visited before node18\nnode 21 should be visited before node1\nnode 21 should be visited before node10\nnode 21 should be visited before node30\nnode 22 should be visited before node18\nnode 22 should be visited before node1\nnode 22 should be visited before node30\nnode 22 should be visited before node20\nnode 22 should be visited before node17\nnode 23 should be visited before node31\nnode 23 should be visited before node28\nnode 23 should be visited before node9\nnode 23 should be visited before node25\nnode 23 should be visited before node32\nnode 23 should be visited before node27\nnode 23 should be visited before node22\nnode 23 should be visited before node5\nnode 23 should be visited before node18\nnode 23 should be visited before node1\nnode 23 should be visited before node20\nnode 23 should be visited before node4\nnode 23 should be visited before node6\nnode 23 should be visited before node8\nnode 24 should be visited before node26\nnode 24 should be visited before node28\nnode 24 should be visited before node12\nnode 24 should be visited before node29\nnode 24 should be visited before node27\nnode 24 should be visited before node5\nnode 24 should be visited before node1\nnode 24 should be visited before node10\nnode 24 should be visited before node30\nnode 24 should be visited before node20\nnode 24 should be visited before node4\nnode 24 should be visited before node6\nnode 24 should be visited before node8\nnode 24 should be visited before node17\nnode 25 should be visited before node2\nnode 25 should be visited before node5\nnode 25 should be visited before node10\nnode 25 should be visited before node4\nnode 25 should be visited before node6\nnode 25 should be visited before node17\nnode 26 should be visited before node31\nnode 26 should be visited before node28\nnode 26 should be visited before node29\nnode 26 should be visited before node2\nnode 26 should be visited before node27\nnode 26 should be visited before node5\nnode 26 should be visited before node18\nnode 26 should be visited before node10\nnode 26 should be visited before node30\nnode 26 should be visited before node4\nnode 26 should be visited before node6\nnode 26 should be visited before node8\nnode 27 should be visited before node22\nnode 27 should be visited before node5\nnode 27 should be visited before node18\nnode 27 should be visited before node10\nnode 27 should be visited before node20\nnode 27 should be visited before node6\nnode 27 should be visited before node8\nnode 28 should be visited before node12\nnode 28 should be visited before node25\nnode 28 should be visited before node22\nnode 28 should be visited before node5\nnode 28 should be visited before node20\nnode 28 should be visited before node8\nnode 29 should be visited before node22\nnode 29 should be visited before node5\nnode 29 should be visited before node30\nnode 29 should be visited before node20\nnode 29 should be visited before node6\nnode 29 should be visited before node17\nnode 30 should be visited before node4\nnode 30 should be visited before node6\nnode 30 should be visited before node8\nnode 30 should be visited before node17\nnode 31 should be visited before node28\nnode 31 should be visited before node9\nnode 31 should be visited before node32\nnode 31 should be visited before node2\nnode 31 should be visited before node27\nnode 31 should be visited before node10\nnode 31 should be visited before node30\nnode 31 should be visited before node20\nnode 31 should be visited before node6\nnode 31 should be visited before node17\nnode 32 should be visited before node22\nnode 32 should be visited before node10\nnode 32 should be visited before node20\nnode 32 should be visited before node6\nnode 32 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,16,11,21,14,7,24,23,13,0,19,3,26,31,28,9,27,12,29,25,32,2,5,22,10,18,30,1,20,4,6,8,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph807",
        "image": "data/topology/graph_visual/hard/graph807.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 2 should be visited before node15\nnode 2 should be visited before node28\nnode 2 should be visited before node11\nnode 2 should be visited before node25\nnode 2 should be visited before node7\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node30\nnode 2 should be visited before node21\nnode 2 should be visited before node17\nnode 2 should be visited before node18\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 3 should be visited before node23\nnode 3 should be visited before node26\nnode 3 should be visited before node12\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node28\nnode 3 should be visited before node6\nnode 3 should be visited before node8\nnode 3 should be visited before node30\nnode 3 should be visited before node19\nnode 3 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 4 should be visited before node21\nnode 4 should be visited before node9\nnode 5 should be visited before node0\nnode 6 should be visited before node8\nnode 6 should be visited before node21\nnode 6 should be visited before node17\nnode 6 should be visited before node5\nnode 6 should be visited before node9\nnode 6 should be visited before node1\nnode 7 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node19\nnode 7 should be visited before node17\nnode 7 should be visited before node18\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 8 should be visited before node21\nnode 8 should be visited before node19\nnode 8 should be visited before node17\nnode 8 should be visited before node9\nnode 8 should be visited before node0\nnode 9 should be visited before node27\nnode 10 should be visited before node3\nnode 10 should be visited before node16\nnode 10 should be visited before node14\nnode 10 should be visited before node12\nnode 10 should be visited before node15\nnode 10 should be visited before node28\nnode 10 should be visited before node11\nnode 10 should be visited before node25\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node30\nnode 10 should be visited before node19\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node6\nnode 11 should be visited before node30\nnode 11 should be visited before node17\nnode 11 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node15\nnode 12 should be visited before node28\nnode 12 should be visited before node7\nnode 12 should be visited before node6\nnode 12 should be visited before node8\nnode 12 should be visited before node30\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node27\nnode 12 should be visited before node1\nnode 13 should be visited before node17\nnode 13 should be visited before node5\nnode 13 should be visited before node27\nnode 14 should be visited before node26\nnode 14 should be visited before node4\nnode 14 should be visited before node28\nnode 14 should be visited before node11\nnode 14 should be visited before node25\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node21\nnode 14 should be visited before node19\nnode 14 should be visited before node17\nnode 14 should be visited before node18\nnode 14 should be visited before node5\nnode 14 should be visited before node27\nnode 14 should be visited before node1\nnode 15 should be visited before node4\nnode 15 should be visited before node11\nnode 15 should be visited before node25\nnode 15 should be visited before node7\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node21\nnode 15 should be visited before node19\nnode 15 should be visited before node17\nnode 15 should be visited before node5\nnode 15 should be visited before node9\nnode 15 should be visited before node27\nnode 15 should be visited before node1\nnode 15 should be visited before node0\nnode 16 should be visited before node12\nnode 16 should be visited before node2\nnode 16 should be visited before node28\nnode 16 should be visited before node25\nnode 16 should be visited before node13\nnode 16 should be visited before node8\nnode 16 should be visited before node5\nnode 16 should be visited before node9\nnode 16 should be visited before node1\nnode 16 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node5\nnode 17 should be visited before node27\nnode 18 should be visited before node9\nnode 19 should be visited before node18\nnode 19 should be visited before node1\nnode 19 should be visited before node0\nnode 20 should be visited before node10\nnode 20 should be visited before node3\nnode 20 should be visited before node16\nnode 20 should be visited before node29\nnode 20 should be visited before node14\nnode 20 should be visited before node2\nnode 20 should be visited before node7\nnode 20 should be visited before node6\nnode 20 should be visited before node8\nnode 20 should be visited before node30\nnode 20 should be visited before node18\nnode 20 should be visited before node0\nnode 21 should be visited before node17\nnode 21 should be visited before node18\nnode 21 should be visited before node5\nnode 21 should be visited before node9\nnode 21 should be visited before node0\nnode 22 should be visited before node12\nnode 22 should be visited before node28\nnode 22 should be visited before node7\nnode 22 should be visited before node13\nnode 22 should be visited before node6\nnode 22 should be visited before node21\nnode 22 should be visited before node17\nnode 22 should be visited before node18\nnode 22 should be visited before node5\nnode 22 should be visited before node9\nnode 22 should be visited before node1\nnode 23 should be visited before node2\nnode 23 should be visited before node15\nnode 23 should be visited before node4\nnode 23 should be visited before node28\nnode 23 should be visited before node11\nnode 23 should be visited before node25\nnode 23 should be visited before node6\nnode 23 should be visited before node30\nnode 23 should be visited before node19\nnode 23 should be visited before node17\nnode 23 should be visited before node9\nnode 24 should be visited before node22\nnode 24 should be visited before node16\nnode 24 should be visited before node29\nnode 24 should be visited before node14\nnode 24 should be visited before node23\nnode 24 should be visited before node15\nnode 24 should be visited before node28\nnode 24 should be visited before node25\nnode 24 should be visited before node13\nnode 24 should be visited before node30\nnode 24 should be visited before node21\nnode 24 should be visited before node18\nnode 24 should be visited before node5\nnode 24 should be visited before node9\nnode 24 should be visited before node27\nnode 24 should be visited before node1\nnode 24 should be visited before node0\nnode 25 should be visited before node8\nnode 25 should be visited before node30\nnode 25 should be visited before node5\nnode 25 should be visited before node1\nnode 25 should be visited before node0\nnode 26 should be visited before node12\nnode 26 should be visited before node8\nnode 26 should be visited before node17\nnode 26 should be visited before node18\nnode 26 should be visited before node5\nnode 27 should be visited before node1\nnode 28 should be visited before node7\nnode 28 should be visited before node6\nnode 28 should be visited before node8\nnode 28 should be visited before node30\nnode 28 should be visited before node17\nnode 28 should be visited before node5\nnode 28 should be visited before node9\nnode 29 should be visited before node23\nnode 29 should be visited before node2\nnode 29 should be visited before node4\nnode 29 should be visited before node11\nnode 29 should be visited before node7\nnode 29 should be visited before node6\nnode 29 should be visited before node8\nnode 29 should be visited before node21\nnode 29 should be visited before node19\nnode 29 should be visited before node5\nnode 29 should be visited before node27\nnode 29 should be visited before node0\nnode 30 should be visited before node19\nnode 30 should be visited before node17\nnode 30 should be visited before node18\nnode 30 should be visited before node5\nnode 30 should be visited before node27\nnode 30 should be visited before node0\nnode 31 should be visited before node20\nnode 31 should be visited before node16\nnode 31 should be visited before node29\nnode 31 should be visited before node12\nnode 31 should be visited before node2\nnode 31 should be visited before node28\nnode 31 should be visited before node11\nnode 31 should be visited before node25\nnode 31 should be visited before node7\nnode 31 should be visited before node13\nnode 31 should be visited before node6\nnode 31 should be visited before node21\nnode 31 should be visited before node17\nnode 31 should be visited before node5\nnode 31 should be visited before node27\nnode 31 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "24,31,22,20,10,29,3,16,14,23,26,12,2,15,28,4,11,25,7,30,13,6,8,21,19,17,18,5,9,0,27,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph70",
        "image": "data/topology/graph_visual/hard/graph70.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node24\nnode 0 should be visited before node19\nnode 0 should be visited before node5\nnode 0 should be visited before node2\nnode 0 should be visited before node21\nnode 0 should be visited before node6\nnode 0 should be visited before node17\nnode 0 should be visited before node20\nnode 0 should be visited before node9\nnode 0 should be visited before node4\nnode 0 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node11\nnode 1 should be visited before node8\nnode 1 should be visited before node12\nnode 1 should be visited before node13\nnode 1 should be visited before node5\nnode 1 should be visited before node25\nnode 1 should be visited before node2\nnode 1 should be visited before node18\nnode 1 should be visited before node9\nnode 1 should be visited before node4\nnode 1 should be visited before node14\nnode 1 should be visited before node3\nnode 2 should be visited before node21\nnode 2 should be visited before node6\nnode 2 should be visited before node18\nnode 2 should be visited before node23\nnode 2 should be visited before node14\nnode 2 should be visited before node3\nnode 4 should be visited before node23\nnode 5 should be visited before node25\nnode 5 should be visited before node2\nnode 5 should be visited before node21\nnode 5 should be visited before node18\nnode 5 should be visited before node20\nnode 5 should be visited before node10\nnode 5 should be visited before node4\nnode 6 should be visited before node16\nnode 6 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node14\nnode 6 should be visited before node3\nnode 7 should be visited before node11\nnode 7 should be visited before node8\nnode 7 should be visited before node13\nnode 7 should be visited before node25\nnode 7 should be visited before node16\nnode 7 should be visited before node18\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node23\nnode 7 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node16\nnode 8 should be visited before node18\nnode 8 should be visited before node17\nnode 8 should be visited before node20\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node14\nnode 9 should be visited before node3\nnode 10 should be visited before node3\nnode 11 should be visited before node24\nnode 11 should be visited before node8\nnode 11 should be visited before node13\nnode 11 should be visited before node5\nnode 11 should be visited before node25\nnode 11 should be visited before node2\nnode 11 should be visited before node21\nnode 11 should be visited before node6\nnode 11 should be visited before node16\nnode 11 should be visited before node20\nnode 11 should be visited before node10\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 12 should be visited before node13\nnode 12 should be visited before node5\nnode 12 should be visited before node2\nnode 12 should be visited before node16\nnode 12 should be visited before node18\nnode 12 should be visited before node17\nnode 12 should be visited before node20\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 13 should be visited before node5\nnode 13 should be visited before node2\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node9\nnode 13 should be visited before node14\nnode 14 should be visited before node3\nnode 15 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node22\nnode 15 should be visited before node8\nnode 15 should be visited before node12\nnode 15 should be visited before node19\nnode 15 should be visited before node21\nnode 15 should be visited before node20\nnode 15 should be visited before node10\nnode 15 should be visited before node9\nnode 15 should be visited before node4\nnode 15 should be visited before node23\nnode 15 should be visited before node3\nnode 16 should be visited before node18\nnode 16 should be visited before node20\nnode 16 should be visited before node10\nnode 16 should be visited before node4\nnode 17 should be visited before node20\nnode 17 should be visited before node10\nnode 17 should be visited before node9\nnode 17 should be visited before node4\nnode 17 should be visited before node23\nnode 17 should be visited before node14\nnode 18 should be visited before node10\nnode 18 should be visited before node14\nnode 19 should be visited before node5\nnode 19 should be visited before node25\nnode 19 should be visited before node21\nnode 19 should be visited before node6\nnode 19 should be visited before node16\nnode 19 should be visited before node18\nnode 19 should be visited before node20\nnode 19 should be visited before node9\nnode 19 should be visited before node23\nnode 19 should be visited before node14\nnode 19 should be visited before node3\nnode 20 should be visited before node9\nnode 20 should be visited before node23\nnode 20 should be visited before node14\nnode 21 should be visited before node4\nnode 21 should be visited before node23\nnode 22 should be visited before node24\nnode 22 should be visited before node8\nnode 22 should be visited before node13\nnode 22 should be visited before node19\nnode 22 should be visited before node5\nnode 22 should be visited before node25\nnode 22 should be visited before node21\nnode 22 should be visited before node18\nnode 22 should be visited before node17\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 24 should be visited before node8\nnode 24 should be visited before node12\nnode 24 should be visited before node19\nnode 24 should be visited before node5\nnode 24 should be visited before node25\nnode 24 should be visited before node6\nnode 24 should be visited before node18\nnode 24 should be visited before node17\nnode 24 should be visited before node9\nnode 24 should be visited before node23\nnode 24 should be visited before node3\nnode 25 should be visited before node2\nnode 25 should be visited before node21\nnode 25 should be visited before node6\nnode 25 should be visited before node16\nnode 25 should be visited before node20\nnode 25 should be visited before node10\nnode 25 should be visited before node23\nnode 25 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,15,1,22,7,11,24,8,19,12,13,5,17,25,2,21,6,16,18,20,4,10,9,14,23,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph377",
        "image": "data/topology/graph_visual/hard/graph377.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 1 should be visited before node17\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node24\nnode 1 should be visited before node16\nnode 1 should be visited before node22\nnode 2 should be visited before node7\nnode 2 should be visited before node8\nnode 3 should be visited before node20\nnode 3 should be visited before node12\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node22\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node21\nnode 4 should be visited before node16\nnode 4 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node10\nnode 6 should be visited before node20\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 7 should be visited before node3\nnode 7 should be visited before node0\nnode 7 should be visited before node12\nnode 7 should be visited before node22\nnode 8 should be visited before node16\nnode 9 should be visited before node26\nnode 9 should be visited before node15\nnode 9 should be visited before node4\nnode 9 should be visited before node27\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node21\nnode 10 should be visited before node25\nnode 11 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node8\nnode 11 should be visited before node16\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 13 should be visited before node21\nnode 13 should be visited before node8\nnode 13 should be visited before node24\nnode 14 should be visited before node19\nnode 14 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node20\nnode 14 should be visited before node24\nnode 14 should be visited before node5\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 15 should be visited before node20\nnode 15 should be visited before node12\nnode 15 should be visited before node8\nnode 15 should be visited before node16\nnode 15 should be visited before node5\nnode 17 should be visited before node6\nnode 17 should be visited before node27\nnode 17 should be visited before node10\nnode 17 should be visited before node0\nnode 17 should be visited before node20\nnode 17 should be visited before node22\nnode 17 should be visited before node5\nnode 18 should be visited before node1\nnode 18 should be visited before node17\nnode 18 should be visited before node7\nnode 18 should be visited before node10\nnode 18 should be visited before node0\nnode 18 should be visited before node21\nnode 18 should be visited before node25\nnode 18 should be visited before node22\nnode 19 should be visited before node23\nnode 19 should be visited before node11\nnode 19 should be visited before node17\nnode 19 should be visited before node3\nnode 19 should be visited before node0\nnode 19 should be visited before node25\nnode 19 should be visited before node22\nnode 20 should be visited before node21\nnode 20 should be visited before node25\nnode 21 should be visited before node8\nnode 21 should be visited before node24\nnode 21 should be visited before node16\nnode 21 should be visited before node22\nnode 21 should be visited before node5\nnode 23 should be visited before node15\nnode 23 should be visited before node11\nnode 23 should be visited before node2\nnode 23 should be visited before node10\nnode 23 should be visited before node21\nnode 23 should be visited before node16\nnode 24 should be visited before node16\nnode 24 should be visited before node22\nnode 25 should be visited before node16\nnode 25 should be visited before node22\nnode 26 should be visited before node1\nnode 26 should be visited before node6\nnode 26 should be visited before node7\nnode 26 should be visited before node10\nnode 26 should be visited before node3\nnode 26 should be visited before node24\nnode 27 should be visited before node0\nnode 27 should be visited before node8\nnode 27 should be visited before node16\nnode 27 should be visited before node5\nnode 28 should be visited before node14\nnode 28 should be visited before node19\nnode 28 should be visited before node23\nnode 28 should be visited before node13\nnode 28 should be visited before node2\nnode 28 should be visited before node7\nnode 28 should be visited before node16\nnode 28 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,18,28,26,14,1,19,23,17,15,27,11,13,6,4,2,10,7,3,0,20,12,21,25,8,24,5,16,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph1039",
        "image": "data/topology/graph_visual/hard/graph1039.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node15\nnode 0 should be visited before node25\nnode 0 should be visited before node4\nnode 0 should be visited before node21\nnode 0 should be visited before node26\nnode 0 should be visited before node9\nnode 0 should be visited before node5\nnode 1 should be visited before node0\nnode 1 should be visited before node15\nnode 1 should be visited before node32\nnode 1 should be visited before node25\nnode 1 should be visited before node29\nnode 1 should be visited before node30\nnode 1 should be visited before node26\nnode 1 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node13\nnode 2 should be visited before node17\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node15\nnode 2 should be visited before node32\nnode 2 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node21\nnode 2 should be visited before node5\nnode 3 should be visited before node12\nnode 3 should be visited before node19\nnode 3 should be visited before node13\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node15\nnode 3 should be visited before node32\nnode 3 should be visited before node29\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 4 should be visited before node26\nnode 4 should be visited before node9\nnode 6 should be visited before node21\nnode 6 should be visited before node9\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 7 should be visited before node15\nnode 7 should be visited before node25\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node26\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 8 should be visited before node25\nnode 8 should be visited before node29\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 9 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 10 should be visited before node32\nnode 10 should be visited before node29\nnode 10 should be visited before node30\nnode 10 should be visited before node6\nnode 10 should be visited before node21\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 11 should be visited before node30\nnode 11 should be visited before node6\nnode 11 should be visited before node9\nnode 11 should be visited before node5\nnode 12 should be visited before node20\nnode 12 should be visited before node23\nnode 12 should be visited before node27\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node0\nnode 12 should be visited before node32\nnode 12 should be visited before node25\nnode 12 should be visited before node4\nnode 12 should be visited before node30\nnode 12 should be visited before node9\nnode 12 should be visited before node5\nnode 13 should be visited before node17\nnode 13 should be visited before node18\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node30\nnode 13 should be visited before node6\nnode 13 should be visited before node21\nnode 13 should be visited before node26\nnode 14 should be visited before node20\nnode 14 should be visited before node23\nnode 14 should be visited before node24\nnode 14 should be visited before node2\nnode 14 should be visited before node17\nnode 14 should be visited before node10\nnode 14 should be visited before node0\nnode 14 should be visited before node15\nnode 14 should be visited before node32\nnode 14 should be visited before node29\nnode 14 should be visited before node4\nnode 14 should be visited before node6\nnode 14 should be visited before node21\nnode 14 should be visited before node5\nnode 15 should be visited before node25\nnode 15 should be visited before node11\nnode 15 should be visited before node21\nnode 15 should be visited before node9\nnode 16 should be visited before node31\nnode 16 should be visited before node12\nnode 16 should be visited before node14\nnode 16 should be visited before node20\nnode 16 should be visited before node23\nnode 16 should be visited before node27\nnode 16 should be visited before node13\nnode 16 should be visited before node18\nnode 16 should be visited before node10\nnode 16 should be visited before node8\nnode 16 should be visited before node1\nnode 16 should be visited before node15\nnode 16 should be visited before node29\nnode 16 should be visited before node30\nnode 16 should be visited before node6\nnode 16 should be visited before node26\nnode 16 should be visited before node9\nnode 16 should be visited before node5\nnode 17 should be visited before node10\nnode 17 should be visited before node8\nnode 17 should be visited before node15\nnode 17 should be visited before node25\nnode 17 should be visited before node29\nnode 17 should be visited before node30\nnode 17 should be visited before node6\nnode 17 should be visited before node5\nnode 18 should be visited before node10\nnode 18 should be visited before node1\nnode 18 should be visited before node15\nnode 18 should be visited before node11\nnode 18 should be visited before node30\nnode 18 should be visited before node6\nnode 18 should be visited before node26\nnode 18 should be visited before node9\nnode 18 should be visited before node5\nnode 19 should be visited before node20\nnode 19 should be visited before node23\nnode 19 should be visited before node24\nnode 19 should be visited before node27\nnode 19 should be visited before node7\nnode 19 should be visited before node8\nnode 19 should be visited before node32\nnode 19 should be visited before node29\nnode 19 should be visited before node4\nnode 19 should be visited before node11\nnode 19 should be visited before node6\nnode 19 should be visited before node9\nnode 20 should be visited before node24\nnode 20 should be visited before node7\nnode 20 should be visited before node1\nnode 20 should be visited before node15\nnode 20 should be visited before node25\nnode 20 should be visited before node29\nnode 20 should be visited before node11\nnode 20 should be visited before node30\nnode 20 should be visited before node6\nnode 20 should be visited before node5\nnode 21 should be visited before node9\nnode 21 should be visited before node5\nnode 22 should be visited before node23\nnode 22 should be visited before node2\nnode 22 should be visited before node27\nnode 22 should be visited before node13\nnode 22 should be visited before node17\nnode 22 should be visited before node18\nnode 22 should be visited before node10\nnode 22 should be visited before node7\nnode 22 should be visited before node1\nnode 22 should be visited before node0\nnode 22 should be visited before node29\nnode 22 should be visited before node11\nnode 22 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node27\nnode 23 should be visited before node17\nnode 23 should be visited before node18\nnode 23 should be visited before node10\nnode 23 should be visited before node7\nnode 23 should be visited before node0\nnode 23 should be visited before node32\nnode 23 should be visited before node29\nnode 23 should be visited before node30\nnode 23 should be visited before node6\nnode 23 should be visited before node21\nnode 23 should be visited before node9\nnode 24 should be visited before node2\nnode 24 should be visited before node27\nnode 24 should be visited before node13\nnode 24 should be visited before node10\nnode 24 should be visited before node8\nnode 24 should be visited before node32\nnode 24 should be visited before node4\nnode 24 should be visited before node26\nnode 24 should be visited before node9\nnode 25 should be visited before node29\nnode 25 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node26\nnode 25 should be visited before node5\nnode 26 should be visited before node9\nnode 27 should be visited before node17\nnode 27 should be visited before node8\nnode 27 should be visited before node32\nnode 27 should be visited before node25\nnode 27 should be visited before node11\nnode 27 should be visited before node21\nnode 27 should be visited before node26\nnode 27 should be visited before node5\nnode 28 should be visited before node14\nnode 28 should be visited before node22\nnode 28 should be visited before node24\nnode 28 should be visited before node2\nnode 28 should be visited before node13\nnode 28 should be visited before node8\nnode 28 should be visited before node0\nnode 28 should be visited before node15\nnode 28 should be visited before node29\nnode 28 should be visited before node30\nnode 28 should be visited before node5\nnode 29 should be visited before node11\nnode 29 should be visited before node6\nnode 29 should be visited before node5\nnode 30 should be visited before node5\nnode 31 should be visited before node28\nnode 31 should be visited before node12\nnode 31 should be visited before node14\nnode 31 should be visited before node19\nnode 31 should be visited before node22\nnode 31 should be visited before node20\nnode 31 should be visited before node23\nnode 31 should be visited before node2\nnode 31 should be visited before node27\nnode 31 should be visited before node13\nnode 31 should be visited before node18\nnode 31 should be visited before node10\nnode 31 should be visited before node8\nnode 31 should be visited before node1\nnode 31 should be visited before node0\nnode 31 should be visited before node32\nnode 31 should be visited before node25\nnode 31 should be visited before node4\nnode 31 should be visited before node30\nnode 31 should be visited before node9\nnode 31 should be visited before node5\nnode 32 should be visited before node25\nnode 32 should be visited before node4\nnode 32 should be visited before node30\nnode 32 should be visited before node6\nnode 32 should be visited before node21\nnode 32 should be visited before node26\nnode 32 should be visited before node5\nnode 33 should be visited before node31\nnode 33 should be visited before node12\nnode 33 should be visited before node14\nnode 33 should be visited before node22\nnode 33 should be visited before node24\nnode 33 should be visited before node2\nnode 33 should be visited before node27\nnode 33 should be visited before node13\nnode 33 should be visited before node10\nnode 33 should be visited before node7\nnode 33 should be visited before node8\nnode 33 should be visited before node25\nnode 33 should be visited before node29\nnode 33 should be visited before node11\nnode 33 should be visited before node6\nnode 33 should be visited before node21\nnode 33 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,16,33,31,28,12,19,14,22,20,23,24,2,27,13,17,18,10,7,8,1,0,32,15,25,29,4,11,26,30,6,21,9,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph1110",
        "image": "data/topology/graph_visual/hard/graph1110.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node33\nnode 0 should be visited before node32\nnode 0 should be visited before node11\nnode 1 should be visited before node5\nnode 1 should be visited before node19\nnode 1 should be visited before node20\nnode 1 should be visited before node31\nnode 1 should be visited before node28\nnode 1 should be visited before node24\nnode 1 should be visited before node6\nnode 2 should be visited before node8\nnode 2 should be visited before node27\nnode 2 should be visited before node14\nnode 2 should be visited before node33\nnode 2 should be visited before node12\nnode 2 should be visited before node30\nnode 2 should be visited before node31\nnode 2 should be visited before node28\nnode 3 should be visited before node23\nnode 3 should be visited before node30\nnode 3 should be visited before node6\nnode 3 should be visited before node4\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node12\nnode 5 should be visited before node21\nnode 5 should be visited before node31\nnode 5 should be visited before node28\nnode 6 should be visited before node4\nnode 7 should be visited before node25\nnode 7 should be visited before node33\nnode 7 should be visited before node5\nnode 7 should be visited before node15\nnode 7 should be visited before node11\nnode 7 should be visited before node21\nnode 7 should be visited before node6\nnode 8 should be visited before node29\nnode 8 should be visited before node34\nnode 8 should be visited before node17\nnode 8 should be visited before node26\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node25\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 8 should be visited before node30\nnode 9 should be visited before node3\nnode 9 should be visited before node21\nnode 9 should be visited before node20\nnode 9 should be visited before node31\nnode 10 should be visited before node14\nnode 10 should be visited before node25\nnode 10 should be visited before node1\nnode 10 should be visited before node11\nnode 10 should be visited before node28\nnode 10 should be visited before node18\nnode 11 should be visited before node6\nnode 12 should be visited before node21\nnode 12 should be visited before node6\nnode 13 should be visited before node27\nnode 13 should be visited before node29\nnode 13 should be visited before node17\nnode 13 should be visited before node14\nnode 13 should be visited before node0\nnode 13 should be visited before node32\nnode 13 should be visited before node19\nnode 13 should be visited before node11\nnode 13 should be visited before node21\nnode 13 should be visited before node20\nnode 13 should be visited before node24\nnode 13 should be visited before node4\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node19\nnode 14 should be visited before node20\nnode 14 should be visited before node30\nnode 14 should be visited before node24\nnode 15 should be visited before node3\nnode 15 should be visited before node21\nnode 15 should be visited before node24\nnode 15 should be visited before node4\nnode 16 should be visited before node34\nnode 16 should be visited before node17\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node20\nnode 16 should be visited before node18\nnode 17 should be visited before node26\nnode 17 should be visited before node1\nnode 17 should be visited before node9\nnode 17 should be visited before node32\nnode 17 should be visited before node3\nnode 17 should be visited before node20\nnode 17 should be visited before node18\nnode 19 should be visited before node12\nnode 19 should be visited before node23\nnode 19 should be visited before node28\nnode 21 should be visited before node20\nnode 21 should be visited before node31\nnode 22 should be visited before node10\nnode 22 should be visited before node7\nnode 22 should be visited before node9\nnode 22 should be visited before node32\nnode 22 should be visited before node11\nnode 22 should be visited before node12\nnode 22 should be visited before node31\nnode 22 should be visited before node4\nnode 22 should be visited before node18\nnode 23 should be visited before node30\nnode 23 should be visited before node28\nnode 23 should be visited before node18\nnode 24 should be visited before node18\nnode 25 should be visited before node33\nnode 25 should be visited before node12\nnode 25 should be visited before node31\nnode 25 should be visited before node28\nnode 25 should be visited before node18\nnode 26 should be visited before node14\nnode 26 should be visited before node0\nnode 26 should be visited before node9\nnode 26 should be visited before node32\nnode 26 should be visited before node15\nnode 26 should be visited before node11\nnode 26 should be visited before node12\nnode 26 should be visited before node21\nnode 26 should be visited before node30\nnode 26 should be visited before node24\nnode 26 should be visited before node4\nnode 27 should be visited before node22\nnode 27 should be visited before node14\nnode 27 should be visited before node7\nnode 27 should be visited before node9\nnode 27 should be visited before node15\nnode 27 should be visited before node12\nnode 27 should be visited before node23\nnode 27 should be visited before node20\nnode 27 should be visited before node24\nnode 27 should be visited before node4\nnode 27 should be visited before node18\nnode 28 should be visited before node24\nnode 29 should be visited before node26\nnode 29 should be visited before node14\nnode 29 should be visited before node25\nnode 29 should be visited before node1\nnode 29 should be visited before node4\nnode 30 should be visited before node31\nnode 30 should be visited before node6\nnode 30 should be visited before node18\nnode 31 should be visited before node24\nnode 31 should be visited before node6\nnode 32 should be visited before node15\nnode 32 should be visited before node11\nnode 32 should be visited before node20\nnode 32 should be visited before node24\nnode 32 should be visited before node6\nnode 32 should be visited before node18\nnode 33 should be visited before node32\nnode 33 should be visited before node6\nnode 33 should be visited before node4\nnode 34 should be visited before node17\nnode 34 should be visited before node14\nnode 34 should be visited before node7\nnode 34 should be visited before node0\nnode 34 should be visited before node32\nnode 34 should be visited before node11\nnode 34 should be visited before node3\nnode 34 should be visited before node31\nnode 34 should be visited before node28\nnode 34 should be visited before node6\nnode 34 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,13,16,8,27,29,34,22,17,10,26,1,14,9,7,0,19,25,5,33,12,32,15,11,3,21,23,20,30,28,31,24,6,18,4."
            }
        ]
    },
    {
        "id": "topology-hard-graph1048",
        "image": "data/topology/graph_visual/hard/graph1048.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node27\nnode 0 should be visited before node18\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 0 should be visited before node26\nnode 0 should be visited before node25\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node20\nnode 0 should be visited before node19\nnode 0 should be visited before node16\nnode 0 should be visited before node21\nnode 0 should be visited before node10\nnode 1 should be visited before node32\nnode 1 should be visited before node24\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node20\nnode 1 should be visited before node15\nnode 1 should be visited before node22\nnode 1 should be visited before node19\nnode 1 should be visited before node16\nnode 1 should be visited before node21\nnode 1 should be visited before node12\nnode 2 should be visited before node28\nnode 2 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 3 should be visited before node26\nnode 3 should be visited before node1\nnode 3 should be visited before node23\nnode 3 should be visited before node2\nnode 3 should be visited before node14\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 3 should be visited before node20\nnode 3 should be visited before node29\nnode 3 should be visited before node22\nnode 3 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node21\nnode 3 should be visited before node8\nnode 4 should be visited before node32\nnode 4 should be visited before node24\nnode 4 should be visited before node7\nnode 4 should be visited before node22\nnode 4 should be visited before node19\nnode 4 should be visited before node16\nnode 4 should be visited before node9\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 5 should be visited before node17\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node4\nnode 5 should be visited before node28\nnode 5 should be visited before node24\nnode 5 should be visited before node6\nnode 5 should be visited before node16\nnode 5 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 6 should be visited before node15\nnode 6 should be visited before node29\nnode 6 should be visited before node22\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 6 should be visited before node21\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 7 should be visited before node29\nnode 7 should be visited before node22\nnode 7 should be visited before node19\nnode 7 should be visited before node16\nnode 7 should be visited before node9\nnode 7 should be visited before node21\nnode 7 should be visited before node10\nnode 9 should be visited before node10\nnode 9 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 11 should be visited before node26\nnode 11 should be visited before node14\nnode 11 should be visited before node4\nnode 11 should be visited before node28\nnode 11 should be visited before node7\nnode 11 should be visited before node6\nnode 11 should be visited before node20\nnode 11 should be visited before node15\nnode 11 should be visited before node22\nnode 11 should be visited before node19\nnode 11 should be visited before node16\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 12 should be visited before node8\nnode 13 should be visited before node33\nnode 13 should be visited before node17\nnode 13 should be visited before node1\nnode 13 should be visited before node25\nnode 13 should be visited before node4\nnode 13 should be visited before node28\nnode 13 should be visited before node24\nnode 13 should be visited before node7\nnode 13 should be visited before node6\nnode 13 should be visited before node22\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node21\nnode 13 should be visited before node10\nnode 14 should be visited before node28\nnode 14 should be visited before node32\nnode 14 should be visited before node6\nnode 14 should be visited before node20\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node9\nnode 14 should be visited before node21\nnode 15 should be visited before node22\nnode 15 should be visited before node19\nnode 15 should be visited before node16\nnode 15 should be visited before node21\nnode 15 should be visited before node12\nnode 15 should be visited before node8\nnode 16 should be visited before node9\nnode 16 should be visited before node12\nnode 17 should be visited before node1\nnode 17 should be visited before node23\nnode 17 should be visited before node25\nnode 17 should be visited before node4\nnode 17 should be visited before node32\nnode 17 should be visited before node6\nnode 17 should be visited before node20\nnode 17 should be visited before node15\nnode 17 should be visited before node22\nnode 17 should be visited before node19\nnode 17 should be visited before node10\nnode 17 should be visited before node8\nnode 18 should be visited before node11\nnode 18 should be visited before node17\nnode 18 should be visited before node3\nnode 18 should be visited before node1\nnode 18 should be visited before node25\nnode 18 should be visited before node2\nnode 18 should be visited before node14\nnode 18 should be visited before node4\nnode 18 should be visited before node32\nnode 18 should be visited before node6\nnode 18 should be visited before node15\nnode 18 should be visited before node22\nnode 18 should be visited before node8\nnode 19 should be visited before node9\nnode 20 should be visited before node29\nnode 20 should be visited before node10\nnode 20 should be visited before node8\nnode 21 should be visited before node10\nnode 21 should be visited before node12\nnode 22 should be visited before node19\nnode 22 should be visited before node21\nnode 22 should be visited before node10\nnode 22 should be visited before node8\nnode 23 should be visited before node25\nnode 23 should be visited before node14\nnode 23 should be visited before node4\nnode 23 should be visited before node32\nnode 23 should be visited before node7\nnode 23 should be visited before node20\nnode 23 should be visited before node15\nnode 23 should be visited before node19\nnode 23 should be visited before node9\nnode 24 should be visited before node6\nnode 24 should be visited before node15\nnode 24 should be visited before node29\nnode 24 should be visited before node22\nnode 24 should be visited before node19\nnode 24 should be visited before node10\nnode 25 should be visited before node14\nnode 25 should be visited before node4\nnode 25 should be visited before node24\nnode 25 should be visited before node6\nnode 25 should be visited before node29\nnode 25 should be visited before node19\nnode 25 should be visited before node9\nnode 25 should be visited before node12\nnode 25 should be visited before node8\nnode 26 should be visited before node23\nnode 26 should be visited before node14\nnode 26 should be visited before node28\nnode 26 should be visited before node24\nnode 26 should be visited before node6\nnode 26 should be visited before node20\nnode 26 should be visited before node29\nnode 26 should be visited before node19\nnode 26 should be visited before node16\nnode 26 should be visited before node9\nnode 26 should be visited before node21\nnode 26 should be visited before node10\nnode 26 should be visited before node12\nnode 26 should be visited before node8\nnode 27 should be visited before node31\nnode 27 should be visited before node33\nnode 27 should be visited before node17\nnode 27 should be visited before node26\nnode 27 should be visited before node23\nnode 27 should be visited before node2\nnode 27 should be visited before node4\nnode 27 should be visited before node24\nnode 27 should be visited before node6\nnode 27 should be visited before node15\nnode 27 should be visited before node29\nnode 27 should be visited before node16\nnode 27 should be visited before node9\nnode 27 should be visited before node21\nnode 27 should be visited before node12\nnode 28 should be visited before node7\nnode 28 should be visited before node6\nnode 28 should be visited before node29\nnode 28 should be visited before node16\nnode 28 should be visited before node9\nnode 28 should be visited before node21\nnode 28 should be visited before node10\nnode 28 should be visited before node8\nnode 29 should be visited before node22\nnode 29 should be visited before node16\nnode 29 should be visited before node9\nnode 30 should be visited before node27\nnode 30 should be visited before node13\nnode 30 should be visited before node33\nnode 30 should be visited before node5\nnode 30 should be visited before node2\nnode 30 should be visited before node14\nnode 30 should be visited before node32\nnode 30 should be visited before node24\nnode 30 should be visited before node6\nnode 30 should be visited before node15\nnode 30 should be visited before node29\nnode 30 should be visited before node22\nnode 30 should be visited before node19\nnode 30 should be visited before node16\nnode 30 should be visited before node9\nnode 30 should be visited before node12\nnode 31 should be visited before node33\nnode 31 should be visited before node18\nnode 31 should be visited before node11\nnode 31 should be visited before node5\nnode 31 should be visited before node3\nnode 31 should be visited before node26\nnode 31 should be visited before node1\nnode 31 should be visited before node14\nnode 31 should be visited before node4\nnode 31 should be visited before node28\nnode 31 should be visited before node24\nnode 31 should be visited before node7\nnode 31 should be visited before node6\nnode 31 should be visited before node20\nnode 31 should be visited before node16\nnode 32 should be visited before node24\nnode 32 should be visited before node20\nnode 32 should be visited before node29\nnode 32 should be visited before node22\nnode 33 should be visited before node18\nnode 33 should be visited before node3\nnode 33 should be visited before node26\nnode 33 should be visited before node1\nnode 33 should be visited before node4\nnode 33 should be visited before node6\nnode 33 should be visited before node20\nnode 33 should be visited before node15\nnode 33 should be visited before node19\nnode 33 should be visited before node16\nnode 33 should be visited before node9\nnode 33 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,30,27,13,31,33,18,11,5,3,17,26,2,1,23,25,14,4,28,32,7,24,20,6,15,29,22,16,19,21,9,12,10,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph981",
        "image": "data/topology/graph_visual/hard/graph981.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node3\nnode 0 should be visited before node11\nnode 0 should be visited before node33\nnode 0 should be visited before node12\nnode 0 should be visited before node13\nnode 0 should be visited before node26\nnode 0 should be visited before node30\nnode 0 should be visited before node17\nnode 1 should be visited before node31\nnode 1 should be visited before node16\nnode 1 should be visited before node29\nnode 1 should be visited before node17\nnode 2 should be visited before node20\nnode 2 should be visited before node5\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node23\nnode 2 should be visited before node31\nnode 2 should be visited before node28\nnode 2 should be visited before node33\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node26\nnode 2 should be visited before node29\nnode 2 should be visited before node17\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node33\nnode 3 should be visited before node12\nnode 4 should be visited before node11\nnode 4 should be visited before node28\nnode 4 should be visited before node18\nnode 4 should be visited before node13\nnode 4 should be visited before node29\nnode 4 should be visited before node17\nnode 5 should be visited before node19\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 5 should be visited before node24\nnode 5 should be visited before node23\nnode 5 should be visited before node31\nnode 5 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node27\nnode 7 should be visited before node31\nnode 7 should be visited before node28\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node16\nnode 7 should be visited before node30\nnode 7 should be visited before node29\nnode 9 should be visited before node32\nnode 9 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 10 should be visited before node28\nnode 10 should be visited before node33\nnode 10 should be visited before node18\nnode 10 should be visited before node13\nnode 10 should be visited before node26\nnode 10 should be visited before node29\nnode 10 should be visited before node17\nnode 11 should be visited before node25\nnode 11 should be visited before node31\nnode 11 should be visited before node28\nnode 11 should be visited before node6\nnode 11 should be visited before node27\nnode 11 should be visited before node17\nnode 12 should be visited before node8\nnode 12 should be visited before node27\nnode 12 should be visited before node16\nnode 12 should be visited before node26\nnode 12 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node26\nnode 13 should be visited before node30\nnode 13 should be visited before node29\nnode 14 should be visited before node21\nnode 14 should be visited before node25\nnode 14 should be visited before node7\nnode 14 should be visited before node23\nnode 14 should be visited before node10\nnode 14 should be visited before node28\nnode 14 should be visited before node12\nnode 14 should be visited before node18\nnode 14 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node26\nnode 15 should be visited before node28\nnode 15 should be visited before node12\nnode 18 should be visited before node13\nnode 19 should be visited before node3\nnode 19 should be visited before node32\nnode 19 should be visited before node25\nnode 19 should be visited before node7\nnode 19 should be visited before node23\nnode 19 should be visited before node8\nnode 19 should be visited before node27\nnode 19 should be visited before node29\nnode 19 should be visited before node17\nnode 20 should be visited before node0\nnode 20 should be visited before node22\nnode 20 should be visited before node25\nnode 20 should be visited before node27\nnode 20 should be visited before node17\nnode 21 should be visited before node5\nnode 21 should be visited before node4\nnode 21 should be visited before node3\nnode 21 should be visited before node25\nnode 21 should be visited before node31\nnode 21 should be visited before node28\nnode 21 should be visited before node33\nnode 21 should be visited before node12\nnode 21 should be visited before node27\nnode 21 should be visited before node30\nnode 21 should be visited before node29\nnode 21 should be visited before node17\nnode 22 should be visited before node11\nnode 22 should be visited before node32\nnode 22 should be visited before node15\nnode 22 should be visited before node33\nnode 22 should be visited before node8\nnode 22 should be visited before node6\nnode 22 should be visited before node17\nnode 23 should be visited before node33\nnode 23 should be visited before node12\nnode 23 should be visited before node18\nnode 23 should be visited before node29\nnode 24 should be visited before node31\nnode 24 should be visited before node28\nnode 24 should be visited before node18\nnode 24 should be visited before node13\nnode 25 should be visited before node24\nnode 25 should be visited before node23\nnode 25 should be visited before node28\nnode 25 should be visited before node12\nnode 25 should be visited before node26\nnode 25 should be visited before node30\nnode 26 should be visited before node29\nnode 26 should be visited before node17\nnode 27 should be visited before node29\nnode 27 should be visited before node17\nnode 28 should be visited before node33\nnode 28 should be visited before node6\nnode 28 should be visited before node30\nnode 28 should be visited before node17\nnode 31 should be visited before node12\nnode 31 should be visited before node6\nnode 31 should be visited before node16\nnode 31 should be visited before node30\nnode 31 should be visited before node29\nnode 32 should be visited before node10\nnode 32 should be visited before node33\nnode 32 should be visited before node12\nnode 32 should be visited before node6\nnode 33 should be visited before node18\nnode 33 should be visited before node8\nnode 33 should be visited before node27\nnode 33 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,14,20,21,0,22,5,4,15,19,11,3,25,9,24,23,32,7,1,10,31,28,12,33,6,18,8,27,13,16,26,30,29,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph924",
        "image": "data/topology/graph_visual/hard/graph924.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node3\nnode 0 should be visited before node19\nnode 0 should be visited before node22\nnode 0 should be visited before node10\nnode 0 should be visited before node29\nnode 1 should be visited before node18\nnode 1 should be visited before node13\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node15\nnode 1 should be visited before node28\nnode 1 should be visited before node25\nnode 1 should be visited before node24\nnode 1 should be visited before node8\nnode 1 should be visited before node16\nnode 1 should be visited before node7\nnode 1 should be visited before node3\nnode 1 should be visited before node19\nnode 1 should be visited before node22\nnode 1 should be visited before node31\nnode 1 should be visited before node29\nnode 1 should be visited before node23\nnode 1 should be visited before node5\nnode 2 should be visited before node21\nnode 2 should be visited before node11\nnode 2 should be visited before node17\nnode 2 should be visited before node1\nnode 2 should be visited before node18\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node28\nnode 2 should be visited before node25\nnode 2 should be visited before node12\nnode 2 should be visited before node8\nnode 2 should be visited before node27\nnode 2 should be visited before node0\nnode 2 should be visited before node29\nnode 2 should be visited before node5\nnode 3 should be visited before node22\nnode 3 should be visited before node10\nnode 3 should be visited before node23\nnode 3 should be visited before node5\nnode 4 should be visited before node6\nnode 4 should be visited before node15\nnode 4 should be visited before node28\nnode 4 should be visited before node30\nnode 4 should be visited before node12\nnode 4 should be visited before node16\nnode 4 should be visited before node27\nnode 4 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node3\nnode 4 should be visited before node19\nnode 4 should be visited before node20\nnode 4 should be visited before node29\nnode 4 should be visited before node23\nnode 4 should be visited before node5\nnode 6 should be visited before node25\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 6 should be visited before node20\nnode 6 should be visited before node23\nnode 7 should be visited before node19\nnode 7 should be visited before node22\nnode 7 should be visited before node31\nnode 7 should be visited before node5\nnode 8 should be visited before node27\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node19\nnode 8 should be visited before node22\nnode 8 should be visited before node31\nnode 8 should be visited before node29\nnode 8 should be visited before node23\nnode 9 should be visited before node1\nnode 9 should be visited before node26\nnode 9 should be visited before node13\nnode 9 should be visited before node28\nnode 9 should be visited before node24\nnode 9 should be visited before node8\nnode 9 should be visited before node16\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node20\nnode 9 should be visited before node10\nnode 9 should be visited before node23\nnode 10 should be visited before node29\nnode 10 should be visited before node23\nnode 10 should be visited before node5\nnode 11 should be visited before node17\nnode 11 should be visited before node1\nnode 11 should be visited before node18\nnode 11 should be visited before node26\nnode 11 should be visited before node13\nnode 11 should be visited before node28\nnode 11 should be visited before node16\nnode 11 should be visited before node27\nnode 11 should be visited before node14\nnode 11 should be visited before node7\nnode 11 should be visited before node3\nnode 11 should be visited before node19\nnode 11 should be visited before node31\nnode 11 should be visited before node10\nnode 11 should be visited before node23\nnode 12 should be visited before node24\nnode 12 should be visited before node8\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 12 should be visited before node19\nnode 12 should be visited before node20\nnode 12 should be visited before node10\nnode 12 should be visited before node29\nnode 12 should be visited before node23\nnode 12 should be visited before node5\nnode 13 should be visited before node12\nnode 13 should be visited before node24\nnode 13 should be visited before node27\nnode 13 should be visited before node14\nnode 13 should be visited before node3\nnode 13 should be visited before node20\nnode 13 should be visited before node29\nnode 13 should be visited before node5\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 14 should be visited before node19\nnode 14 should be visited before node20\nnode 14 should be visited before node29\nnode 14 should be visited before node23\nnode 14 should be visited before node5\nnode 15 should be visited before node30\nnode 15 should be visited before node12\nnode 15 should be visited before node24\nnode 15 should be visited before node8\nnode 15 should be visited before node27\nnode 15 should be visited before node0\nnode 15 should be visited before node3\nnode 15 should be visited before node19\nnode 15 should be visited before node20\nnode 15 should be visited before node10\nnode 15 should be visited before node29\nnode 15 should be visited before node23\nnode 16 should be visited before node3\nnode 16 should be visited before node19\nnode 16 should be visited before node23\nnode 17 should be visited before node1\nnode 17 should be visited before node13\nnode 17 should be visited before node30\nnode 17 should be visited before node12\nnode 17 should be visited before node24\nnode 17 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node27\nnode 17 should be visited before node3\nnode 17 should be visited before node19\nnode 17 should be visited before node22\nnode 17 should be visited before node29\nnode 17 should be visited before node23\nnode 18 should be visited before node26\nnode 18 should be visited before node13\nnode 18 should be visited before node4\nnode 18 should be visited before node15\nnode 18 should be visited before node28\nnode 18 should be visited before node25\nnode 18 should be visited before node30\nnode 18 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node27\nnode 18 should be visited before node14\nnode 18 should be visited before node3\nnode 18 should be visited before node19\nnode 18 should be visited before node22\nnode 18 should be visited before node20\nnode 19 should be visited before node22\nnode 19 should be visited before node20\nnode 19 should be visited before node31\nnode 19 should be visited before node29\nnode 20 should be visited before node31\nnode 20 should be visited before node10\nnode 20 should be visited before node29\nnode 20 should be visited before node23\nnode 21 should be visited before node32\nnode 21 should be visited before node17\nnode 21 should be visited before node26\nnode 21 should be visited before node13\nnode 21 should be visited before node4\nnode 21 should be visited before node6\nnode 21 should be visited before node28\nnode 21 should be visited before node25\nnode 21 should be visited before node30\nnode 21 should be visited before node12\nnode 21 should be visited before node16\nnode 21 should be visited before node14\nnode 21 should be visited before node7\nnode 21 should be visited before node19\nnode 21 should be visited before node31\nnode 21 should be visited before node29\nnode 21 should be visited before node23\nnode 22 should be visited before node20\nnode 22 should be visited before node31\nnode 22 should be visited before node10\nnode 22 should be visited before node29\nnode 24 should be visited before node8\nnode 24 should be visited before node27\nnode 24 should be visited before node22\nnode 24 should be visited before node31\nnode 24 should be visited before node10\nnode 24 should be visited before node23\nnode 24 should be visited before node5\nnode 25 should be visited before node30\nnode 25 should be visited before node8\nnode 25 should be visited before node16\nnode 25 should be visited before node27\nnode 25 should be visited before node14\nnode 25 should be visited before node0\nnode 25 should be visited before node7\nnode 25 should be visited before node3\nnode 25 should be visited before node19\nnode 25 should be visited before node10\nnode 26 should be visited before node13\nnode 26 should be visited before node4\nnode 26 should be visited before node28\nnode 26 should be visited before node25\nnode 26 should be visited before node24\nnode 26 should be visited before node0\nnode 26 should be visited before node7\nnode 26 should be visited before node22\nnode 26 should be visited before node20\nnode 26 should be visited before node10\nnode 26 should be visited before node5\nnode 27 should be visited before node7\nnode 27 should be visited before node3\nnode 27 should be visited before node22\nnode 27 should be visited before node20\nnode 27 should be visited before node31\nnode 27 should be visited before node10\nnode 27 should be visited before node29\nnode 27 should be visited before node23\nnode 27 should be visited before node5\nnode 28 should be visited before node30\nnode 28 should be visited before node24\nnode 28 should be visited before node8\nnode 28 should be visited before node16\nnode 28 should be visited before node7\nnode 28 should be visited before node3\nnode 28 should be visited before node22\nnode 28 should be visited before node20\nnode 28 should be visited before node31\nnode 28 should be visited before node10\nnode 28 should be visited before node5\nnode 29 should be visited before node23\nnode 29 should be visited before node5\nnode 30 should be visited before node12\nnode 30 should be visited before node27\nnode 30 should be visited before node14\nnode 30 should be visited before node0\nnode 30 should be visited before node7\nnode 30 should be visited before node22\nnode 30 should be visited before node31\nnode 30 should be visited before node10\nnode 30 should be visited before node29\nnode 30 should be visited before node5\nnode 31 should be visited before node10\nnode 31 should be visited before node5\nnode 32 should be visited before node13\nnode 32 should be visited before node4\nnode 32 should be visited before node6\nnode 32 should be visited before node30\nnode 32 should be visited before node12\nnode 32 should be visited before node24\nnode 32 should be visited before node16\nnode 32 should be visited before node14\nnode 32 should be visited before node0\nnode 32 should be visited before node31\nnode 32 should be visited before node10\nnode 32 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,9,21,11,32,17,1,18,26,13,4,6,15,28,25,30,12,24,16,8,27,14,7,0,3,19,22,20,31,10,29,23,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph711",
        "image": "data/topology/graph_visual/hard/graph711.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node21\nnode 0 should be visited before node11\nnode 0 should be visited before node23\nnode 0 should be visited before node12\nnode 0 should be visited before node18\nnode 1 should be visited before node24\nnode 1 should be visited before node2\nnode 1 should be visited before node15\nnode 1 should be visited before node9\nnode 1 should be visited before node16\nnode 1 should be visited before node19\nnode 1 should be visited before node0\nnode 1 should be visited before node25\nnode 1 should be visited before node23\nnode 1 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node15\nnode 2 should be visited before node22\nnode 2 should be visited before node9\nnode 2 should be visited before node16\nnode 2 should be visited before node14\nnode 2 should be visited before node0\nnode 2 should be visited before node21\nnode 2 should be visited before node20\nnode 2 should be visited before node11\nnode 2 should be visited before node23\nnode 2 should be visited before node18\nnode 3 should be visited before node15\nnode 3 should be visited before node19\nnode 3 should be visited before node17\nnode 3 should be visited before node21\nnode 3 should be visited before node20\nnode 3 should be visited before node23\nnode 3 should be visited before node12\nnode 4 should be visited before node6\nnode 4 should be visited before node7\nnode 4 should be visited before node24\nnode 4 should be visited before node15\nnode 4 should be visited before node9\nnode 4 should be visited before node16\nnode 4 should be visited before node0\nnode 4 should be visited before node25\nnode 4 should be visited before node23\nnode 4 should be visited before node12\nnode 4 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node15\nnode 5 should be visited before node22\nnode 5 should be visited before node9\nnode 5 should be visited before node16\nnode 5 should be visited before node19\nnode 5 should be visited before node14\nnode 5 should be visited before node21\nnode 5 should be visited before node11\nnode 5 should be visited before node23\nnode 5 should be visited before node18\nnode 6 should be visited before node13\nnode 6 should be visited before node30\nnode 6 should be visited before node27\nnode 6 should be visited before node5\nnode 6 should be visited before node24\nnode 6 should be visited before node2\nnode 6 should be visited before node22\nnode 6 should be visited before node9\nnode 6 should be visited before node16\nnode 6 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node25\nnode 6 should be visited before node11\nnode 6 should be visited before node23\nnode 6 should be visited before node12\nnode 7 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 7 should be visited before node16\nnode 7 should be visited before node19\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node25\nnode 7 should be visited before node12\nnode 7 should be visited before node18\nnode 8 should be visited before node11\nnode 8 should be visited before node12\nnode 8 should be visited before node18\nnode 9 should be visited before node16\nnode 9 should be visited before node17\nnode 9 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node23\nnode 9 should be visited before node12\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node20\nnode 10 should be visited before node11\nnode 10 should be visited before node23\nnode 10 should be visited before node12\nnode 11 should be visited before node23\nnode 13 should be visited before node26\nnode 13 should be visited before node24\nnode 13 should be visited before node15\nnode 13 should be visited before node22\nnode 13 should be visited before node10\nnode 13 should be visited before node16\nnode 13 should be visited before node19\nnode 13 should be visited before node17\nnode 13 should be visited before node14\nnode 13 should be visited before node20\nnode 13 should be visited before node25\nnode 13 should be visited before node23\nnode 13 should be visited before node12\nnode 14 should be visited before node0\nnode 14 should be visited before node23\nnode 14 should be visited before node12\nnode 14 should be visited before node18\nnode 15 should be visited before node22\nnode 15 should be visited before node10\nnode 15 should be visited before node0\nnode 15 should be visited before node21\nnode 15 should be visited before node8\nnode 15 should be visited before node11\nnode 15 should be visited before node12\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 16 should be visited before node8\nnode 16 should be visited before node20\nnode 16 should be visited before node11\nnode 16 should be visited before node23\nnode 17 should be visited before node0\nnode 17 should be visited before node21\nnode 17 should be visited before node8\nnode 17 should be visited before node11\nnode 17 should be visited before node18\nnode 19 should be visited before node17\nnode 19 should be visited before node8\nnode 19 should be visited before node25\nnode 19 should be visited before node11\nnode 19 should be visited before node12\nnode 19 should be visited before node18\nnode 20 should be visited before node25\nnode 20 should be visited before node23\nnode 20 should be visited before node18\nnode 21 should be visited before node20\nnode 21 should be visited before node25\nnode 21 should be visited before node11\nnode 21 should be visited before node23\nnode 21 should be visited before node18\nnode 22 should be visited before node10\nnode 22 should be visited before node19\nnode 22 should be visited before node14\nnode 22 should be visited before node21\nnode 22 should be visited before node20\nnode 22 should be visited before node25\nnode 24 should be visited before node3\nnode 24 should be visited before node22\nnode 24 should be visited before node9\nnode 24 should be visited before node19\nnode 24 should be visited before node8\nnode 24 should be visited before node23\nnode 26 should be visited before node27\nnode 26 should be visited before node5\nnode 26 should be visited before node1\nnode 26 should be visited before node24\nnode 26 should be visited before node3\nnode 26 should be visited before node15\nnode 26 should be visited before node10\nnode 26 should be visited before node16\nnode 26 should be visited before node19\nnode 26 should be visited before node14\nnode 26 should be visited before node0\nnode 26 should be visited before node12\nnode 27 should be visited before node24\nnode 27 should be visited before node3\nnode 27 should be visited before node15\nnode 27 should be visited before node22\nnode 27 should be visited before node10\nnode 27 should be visited before node19\nnode 27 should be visited before node17\nnode 27 should be visited before node0\nnode 27 should be visited before node20\nnode 27 should be visited before node11\nnode 27 should be visited before node12\nnode 27 should be visited before node18\nnode 28 should be visited before node29\nnode 28 should be visited before node4\nnode 28 should be visited before node6\nnode 28 should be visited before node13\nnode 28 should be visited before node26\nnode 28 should be visited before node27\nnode 28 should be visited before node5\nnode 28 should be visited before node1\nnode 28 should be visited before node7\nnode 28 should be visited before node22\nnode 28 should be visited before node10\nnode 28 should be visited before node9\nnode 28 should be visited before node14\nnode 28 should be visited before node8\nnode 28 should be visited before node20\nnode 28 should be visited before node11\nnode 28 should be visited before node12\nnode 28 should be visited before node18\nnode 29 should be visited before node4\nnode 29 should be visited before node26\nnode 29 should be visited before node5\nnode 29 should be visited before node2\nnode 29 should be visited before node3\nnode 29 should be visited before node22\nnode 29 should be visited before node10\nnode 29 should be visited before node9\nnode 29 should be visited before node19\nnode 29 should be visited before node14\nnode 29 should be visited before node0\nnode 29 should be visited before node21\nnode 29 should be visited before node20\nnode 29 should be visited before node11\nnode 30 should be visited before node27\nnode 30 should be visited before node5\nnode 30 should be visited before node1\nnode 30 should be visited before node3\nnode 30 should be visited before node22\nnode 30 should be visited before node10\nnode 30 should be visited before node16\nnode 30 should be visited before node19\nnode 30 should be visited before node14\nnode 30 should be visited before node25\nnode 30 should be visited before node11\nnode 30 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "28,29,4,6,13,30,26,27,5,1,7,24,2,3,15,22,10,9,19,14,16,17,0,8,21,12,20,11,25,18,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph749",
        "image": "data/topology/graph_visual/hard/graph749.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node8\nnode 0 should be visited before node26\nnode 0 should be visited before node21\nnode 0 should be visited before node27\nnode 0 should be visited before node2\nnode 0 should be visited before node3\nnode 0 should be visited before node15\nnode 1 should be visited before node19\nnode 2 should be visited before node23\nnode 2 should be visited before node1\nnode 2 should be visited before node22\nnode 2 should be visited before node19\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node22\nnode 5 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node27\nnode 5 should be visited before node31\nnode 5 should be visited before node1\nnode 5 should be visited before node22\nnode 5 should be visited before node19\nnode 6 should be visited before node31\nnode 6 should be visited before node1\nnode 6 should be visited before node22\nnode 6 should be visited before node17\nnode 6 should be visited before node13\nnode 7 should be visited before node9\nnode 7 should be visited before node26\nnode 7 should be visited before node12\nnode 7 should be visited before node27\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 7 should be visited before node17\nnode 7 should be visited before node13\nnode 8 should be visited before node27\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node22\nnode 8 should be visited before node15\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 10 should be visited before node12\nnode 10 should be visited before node27\nnode 10 should be visited before node4\nnode 10 should be visited before node3\nnode 11 should be visited before node26\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 11 should be visited before node4\nnode 11 should be visited before node3\nnode 11 should be visited before node23\nnode 11 should be visited before node19\nnode 14 should be visited before node25\nnode 14 should be visited before node21\nnode 14 should be visited before node12\nnode 14 should be visited before node31\nnode 14 should be visited before node22\nnode 15 should be visited before node13\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 16 should be visited before node0\nnode 16 should be visited before node25\nnode 16 should be visited before node26\nnode 16 should be visited before node23\nnode 16 should be visited before node1\nnode 18 should be visited before node7\nnode 18 should be visited before node9\nnode 18 should be visited before node26\nnode 18 should be visited before node12\nnode 18 should be visited before node4\nnode 18 should be visited before node23\nnode 18 should be visited before node6\nnode 19 should be visited before node13\nnode 20 should be visited before node18\nnode 20 should be visited before node16\nnode 20 should be visited before node14\nnode 20 should be visited before node28\nnode 20 should be visited before node5\nnode 20 should be visited before node25\nnode 20 should be visited before node23\nnode 20 should be visited before node6\nnode 20 should be visited before node22\nnode 20 should be visited before node17\nnode 20 should be visited before node19\nnode 20 should be visited before node15\nnode 20 should be visited before node13\nnode 21 should be visited before node2\nnode 21 should be visited before node23\nnode 21 should be visited before node6\nnode 21 should be visited before node13\nnode 23 should be visited before node6\nnode 23 should be visited before node31\nnode 23 should be visited before node1\nnode 23 should be visited before node15\nnode 23 should be visited before node13\nnode 24 should be visited before node30\nnode 24 should be visited before node11\nnode 24 should be visited before node8\nnode 24 should be visited before node2\nnode 24 should be visited before node23\nnode 24 should be visited before node6\nnode 24 should be visited before node31\nnode 24 should be visited before node22\nnode 25 should be visited before node3\nnode 25 should be visited before node31\nnode 25 should be visited before node22\nnode 26 should be visited before node21\nnode 26 should be visited before node19\nnode 27 should be visited before node31\nnode 27 should be visited before node17\nnode 27 should be visited before node19\nnode 27 should be visited before node15\nnode 27 should be visited before node13\nnode 28 should be visited before node21\nnode 28 should be visited before node10\nnode 28 should be visited before node31\nnode 28 should be visited before node1\nnode 28 should be visited before node19\nnode 29 should be visited before node20\nnode 29 should be visited before node7\nnode 29 should be visited before node11\nnode 29 should be visited before node10\nnode 29 should be visited before node3\nnode 29 should be visited before node6\nnode 29 should be visited before node31\nnode 29 should be visited before node1\nnode 29 should be visited before node22\nnode 29 should be visited before node13\nnode 30 should be visited before node25\nnode 30 should be visited before node4\nnode 31 should be visited before node22\nnode 31 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "24,29,30,20,11,18,16,28,7,14,5,0,9,25,8,26,10,21,12,27,4,2,3,23,6,15,31,1,22,17,19,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph1168",
        "image": "data/topology/graph_visual/hard/graph1168.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node17\nnode 0 should be visited before node30\nnode 0 should be visited before node28\nnode 0 should be visited before node12\nnode 0 should be visited before node25\nnode 0 should be visited before node24\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node29\nnode 0 should be visited before node20\nnode 1 should be visited before node17\nnode 1 should be visited before node30\nnode 1 should be visited before node12\nnode 1 should be visited before node21\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 1 should be visited before node24\nnode 1 should be visited before node31\nnode 1 should be visited before node11\nnode 1 should be visited before node32\nnode 1 should be visited before node13\nnode 1 should be visited before node29\nnode 1 should be visited before node20\nnode 2 should be visited before node18\nnode 2 should be visited before node11\nnode 2 should be visited before node32\nnode 2 should be visited before node3\nnode 3 should be visited before node13\nnode 3 should be visited before node29\nnode 4 should be visited before node34\nnode 4 should be visited before node16\nnode 4 should be visited before node8\nnode 4 should be visited before node30\nnode 4 should be visited before node9\nnode 4 should be visited before node21\nnode 4 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node2\nnode 4 should be visited before node23\nnode 4 should be visited before node18\nnode 4 should be visited before node24\nnode 4 should be visited before node27\nnode 4 should be visited before node6\nnode 4 should be visited before node32\nnode 4 should be visited before node3\nnode 5 should be visited before node2\nnode 5 should be visited before node24\nnode 5 should be visited before node27\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node29\nnode 6 should be visited before node32\nnode 6 should be visited before node3\nnode 6 should be visited before node20\nnode 6 should be visited before node22\nnode 7 should be visited before node10\nnode 7 should be visited before node23\nnode 7 should be visited before node18\nnode 7 should be visited before node24\nnode 7 should be visited before node31\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node13\nnode 8 should be visited before node12\nnode 8 should be visited before node7\nnode 8 should be visited before node5\nnode 8 should be visited before node18\nnode 8 should be visited before node24\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node32\nnode 8 should be visited before node13\nnode 8 should be visited before node29\nnode 8 should be visited before node20\nnode 8 should be visited before node22\nnode 9 should be visited before node21\nnode 9 should be visited before node15\nnode 9 should be visited before node7\nnode 9 should be visited before node25\nnode 9 should be visited before node10\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node22\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node23\nnode 10 should be visited before node27\nnode 10 should be visited before node19\nnode 10 should be visited before node6\nnode 10 should be visited before node32\nnode 10 should be visited before node13\nnode 10 should be visited before node20\nnode 10 should be visited before node22\nnode 11 should be visited before node6\nnode 11 should be visited before node13\nnode 11 should be visited before node29\nnode 12 should be visited before node21\nnode 12 should be visited before node7\nnode 12 should be visited before node25\nnode 12 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node24\nnode 12 should be visited before node19\nnode 12 should be visited before node31\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 12 should be visited before node13\nnode 12 should be visited before node29\nnode 12 should be visited before node20\nnode 13 should be visited before node29\nnode 14 should be visited before node4\nnode 14 should be visited before node34\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node28\nnode 14 should be visited before node12\nnode 14 should be visited before node9\nnode 14 should be visited before node21\nnode 14 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node25\nnode 14 should be visited before node10\nnode 14 should be visited before node18\nnode 14 should be visited before node24\nnode 14 should be visited before node27\nnode 14 should be visited before node19\nnode 14 should be visited before node31\nnode 14 should be visited before node11\nnode 14 should be visited before node6\nnode 14 should be visited before node32\nnode 14 should be visited before node13\nnode 14 should be visited before node29\nnode 14 should be visited before node20\nnode 14 should be visited before node22\nnode 15 should be visited before node7\nnode 15 should be visited before node25\nnode 15 should be visited before node10\nnode 15 should be visited before node5\nnode 15 should be visited before node27\nnode 15 should be visited before node19\nnode 15 should be visited before node31\nnode 15 should be visited before node6\nnode 15 should be visited before node29\nnode 15 should be visited before node22\nnode 16 should be visited before node26\nnode 16 should be visited before node1\nnode 16 should be visited before node30\nnode 16 should be visited before node9\nnode 16 should be visited before node21\nnode 16 should be visited before node7\nnode 16 should be visited before node25\nnode 16 should be visited before node23\nnode 16 should be visited before node18\nnode 16 should be visited before node24\nnode 16 should be visited before node27\nnode 16 should be visited before node31\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node13\nnode 16 should be visited before node20\nnode 16 should be visited before node22\nnode 17 should be visited before node8\nnode 17 should be visited before node28\nnode 17 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node2\nnode 17 should be visited before node27\nnode 17 should be visited before node19\nnode 17 should be visited before node31\nnode 17 should be visited before node11\nnode 17 should be visited before node32\nnode 17 should be visited before node3\nnode 17 should be visited before node29\nnode 18 should be visited before node27\nnode 18 should be visited before node19\nnode 18 should be visited before node6\nnode 18 should be visited before node3\nnode 18 should be visited before node22\nnode 19 should be visited before node31\nnode 19 should be visited before node11\nnode 19 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node29\nnode 21 should be visited before node7\nnode 21 should be visited before node10\nnode 21 should be visited before node18\nnode 21 should be visited before node19\nnode 21 should be visited before node31\nnode 21 should be visited before node11\nnode 21 should be visited before node6\nnode 21 should be visited before node32\nnode 21 should be visited before node3\nnode 21 should be visited before node13\nnode 21 should be visited before node22\nnode 23 should be visited before node18\nnode 23 should be visited before node27\nnode 23 should be visited before node19\nnode 23 should be visited before node31\nnode 23 should be visited before node11\nnode 23 should be visited before node6\nnode 23 should be visited before node32\nnode 23 should be visited before node20\nnode 24 should be visited before node19\nnode 24 should be visited before node11\nnode 24 should be visited before node32\nnode 24 should be visited before node3\nnode 24 should be visited before node13\nnode 25 should be visited before node10\nnode 25 should be visited before node24\nnode 25 should be visited before node11\nnode 25 should be visited before node6\nnode 25 should be visited before node32\nnode 25 should be visited before node13\nnode 26 should be visited before node17\nnode 26 should be visited before node30\nnode 26 should be visited before node12\nnode 26 should be visited before node2\nnode 26 should be visited before node18\nnode 26 should be visited before node19\nnode 26 should be visited before node31\nnode 26 should be visited before node3\nnode 27 should be visited before node31\nnode 27 should be visited before node11\nnode 27 should be visited before node6\nnode 27 should be visited before node32\nnode 27 should be visited before node13\nnode 27 should be visited before node29\nnode 27 should be visited before node22\nnode 28 should be visited before node12\nnode 28 should be visited before node9\nnode 28 should be visited before node21\nnode 28 should be visited before node15\nnode 28 should be visited before node7\nnode 28 should be visited before node25\nnode 28 should be visited before node5\nnode 28 should be visited before node23\nnode 28 should be visited before node18\nnode 28 should be visited before node24\nnode 28 should be visited before node27\nnode 28 should be visited before node31\nnode 28 should be visited before node32\nnode 28 should be visited before node3\nnode 28 should be visited before node29\nnode 28 should be visited before node20\nnode 30 should be visited before node28\nnode 30 should be visited before node12\nnode 30 should be visited before node7\nnode 30 should be visited before node25\nnode 30 should be visited before node10\nnode 30 should be visited before node5\nnode 30 should be visited before node23\nnode 30 should be visited before node27\nnode 30 should be visited before node6\nnode 30 should be visited before node32\nnode 30 should be visited before node13\nnode 31 should be visited before node11\nnode 31 should be visited before node32\nnode 31 should be visited before node3\nnode 31 should be visited before node29\nnode 31 should be visited before node20\nnode 32 should be visited before node3\nnode 33 should be visited before node14\nnode 33 should be visited before node4\nnode 33 should be visited before node1\nnode 33 should be visited before node30\nnode 33 should be visited before node28\nnode 33 should be visited before node12\nnode 33 should be visited before node21\nnode 33 should be visited before node15\nnode 33 should be visited before node2\nnode 33 should be visited before node19\nnode 33 should be visited before node11\nnode 33 should be visited before node6\nnode 33 should be visited before node32\nnode 33 should be visited before node3\nnode 33 should be visited before node13\nnode 33 should be visited before node29\nnode 33 should be visited before node20\nnode 33 should be visited before node22\nnode 34 should be visited before node0\nnode 34 should be visited before node17\nnode 34 should be visited before node8\nnode 34 should be visited before node28\nnode 34 should be visited before node12\nnode 34 should be visited before node7\nnode 34 should be visited before node5\nnode 34 should be visited before node2\nnode 34 should be visited before node11\nnode 34 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "33,14,4,34,16,0,26,1,17,30,8,28,12,9,21,15,7,25,10,5,23,2,24,18,27,19,31,11,6,32,20,22,3,13,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph834",
        "image": "data/topology/graph_visual/hard/graph834.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node14\nnode 1 should be visited before node20\nnode 1 should be visited before node23\nnode 1 should be visited before node22\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node27\nnode 1 should be visited before node15\nnode 1 should be visited before node21\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node14\nnode 2 should be visited before node17\nnode 2 should be visited before node26\nnode 2 should be visited before node18\nnode 2 should be visited before node20\nnode 2 should be visited before node12\nnode 2 should be visited before node22\nnode 2 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node27\nnode 2 should be visited before node15\nnode 2 should be visited before node4\nnode 3 should be visited before node10\nnode 3 should be visited before node27\nnode 3 should be visited before node7\nnode 3 should be visited before node4\nnode 3 should be visited before node13\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 4 should be visited before node13\nnode 4 should be visited before node28\nnode 4 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node16\nnode 5 should be visited before node10\nnode 5 should be visited before node27\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node28\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node14\nnode 9 should be visited before node3\nnode 9 should be visited before node16\nnode 9 should be visited before node27\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 9 should be visited before node0\nnode 9 should be visited before node14\nnode 10 should be visited before node8\nnode 10 should be visited before node27\nnode 10 should be visited before node15\nnode 10 should be visited before node21\nnode 10 should be visited before node6\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node28\nnode 11 should be visited before node20\nnode 11 should be visited before node12\nnode 11 should be visited before node22\nnode 11 should be visited before node10\nnode 11 should be visited before node8\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node14\nnode 12 should be visited before node25\nnode 12 should be visited before node22\nnode 12 should be visited before node9\nnode 12 should be visited before node16\nnode 12 should be visited before node10\nnode 12 should be visited before node21\nnode 12 should be visited before node13\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 15 should be visited before node4\nnode 15 should be visited before node28\nnode 16 should be visited before node21\nnode 16 should be visited before node6\nnode 16 should be visited before node4\nnode 16 should be visited before node13\nnode 16 should be visited before node28\nnode 17 should be visited before node24\nnode 17 should be visited before node29\nnode 17 should be visited before node31\nnode 17 should be visited before node11\nnode 17 should be visited before node23\nnode 17 should be visited before node12\nnode 17 should be visited before node25\nnode 17 should be visited before node22\nnode 17 should be visited before node5\nnode 17 should be visited before node10\nnode 17 should be visited before node8\nnode 17 should be visited before node15\nnode 17 should be visited before node19\nnode 17 should be visited before node21\nnode 17 should be visited before node7\nnode 17 should be visited before node6\nnode 17 should be visited before node4\nnode 17 should be visited before node28\nnode 18 should be visited before node1\nnode 18 should be visited before node23\nnode 18 should be visited before node12\nnode 18 should be visited before node22\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node10\nnode 18 should be visited before node27\nnode 18 should be visited before node19\nnode 18 should be visited before node21\nnode 18 should be visited before node7\nnode 18 should be visited before node6\nnode 18 should be visited before node4\nnode 18 should be visited before node13\nnode 18 should be visited before node0\nnode 18 should be visited before node28\nnode 19 should be visited before node6\nnode 19 should be visited before node4\nnode 19 should be visited before node13\nnode 19 should be visited before node0\nnode 19 should be visited before node28\nnode 20 should be visited before node25\nnode 20 should be visited before node5\nnode 20 should be visited before node10\nnode 20 should be visited before node27\nnode 20 should be visited before node15\nnode 20 should be visited before node0\nnode 21 should be visited before node4\nnode 21 should be visited before node13\nnode 21 should be visited before node0\nnode 22 should be visited before node9\nnode 22 should be visited before node16\nnode 22 should be visited before node10\nnode 22 should be visited before node8\nnode 22 should be visited before node27\nnode 22 should be visited before node15\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node13\nnode 23 should be visited before node3\nnode 23 should be visited before node16\nnode 23 should be visited before node8\nnode 23 should be visited before node15\nnode 23 should be visited before node21\nnode 23 should be visited before node0\nnode 24 should be visited before node26\nnode 24 should be visited before node18\nnode 24 should be visited before node1\nnode 24 should be visited before node20\nnode 24 should be visited before node12\nnode 24 should be visited before node25\nnode 24 should be visited before node22\nnode 24 should be visited before node5\nnode 24 should be visited before node9\nnode 24 should be visited before node3\nnode 24 should be visited before node16\nnode 24 should be visited before node10\nnode 24 should be visited before node15\nnode 24 should be visited before node6\nnode 24 should be visited before node4\nnode 24 should be visited before node13\nnode 24 should be visited before node0\nnode 24 should be visited before node28\nnode 25 should be visited before node22\nnode 25 should be visited before node5\nnode 25 should be visited before node16\nnode 25 should be visited before node27\nnode 25 should be visited before node21\nnode 25 should be visited before node13\nnode 26 should be visited before node30\nnode 26 should be visited before node31\nnode 26 should be visited before node18\nnode 26 should be visited before node1\nnode 26 should be visited before node20\nnode 26 should be visited before node12\nnode 26 should be visited before node25\nnode 26 should be visited before node9\nnode 26 should be visited before node3\nnode 26 should be visited before node10\nnode 26 should be visited before node8\nnode 26 should be visited before node15\nnode 26 should be visited before node19\nnode 26 should be visited before node21\nnode 26 should be visited before node7\nnode 26 should be visited before node6\nnode 26 should be visited before node13\nnode 26 should be visited before node0\nnode 27 should be visited before node15\nnode 27 should be visited before node21\nnode 27 should be visited before node4\nnode 27 should be visited before node13\nnode 29 should be visited before node30\nnode 29 should be visited before node31\nnode 29 should be visited before node20\nnode 29 should be visited before node23\nnode 29 should be visited before node12\nnode 29 should be visited before node22\nnode 29 should be visited before node9\nnode 29 should be visited before node3\nnode 29 should be visited before node16\nnode 29 should be visited before node8\nnode 29 should be visited before node27\nnode 29 should be visited before node15\nnode 29 should be visited before node19\nnode 29 should be visited before node7\nnode 29 should be visited before node4\nnode 29 should be visited before node13\nnode 29 should be visited before node14\nnode 30 should be visited before node31\nnode 30 should be visited before node11\nnode 30 should be visited before node20\nnode 30 should be visited before node23\nnode 30 should be visited before node3\nnode 30 should be visited before node16\nnode 30 should be visited before node10\nnode 30 should be visited before node27\nnode 30 should be visited before node15\nnode 30 should be visited before node6\nnode 30 should be visited before node14\nnode 31 should be visited before node12\nnode 31 should be visited before node22\nnode 31 should be visited before node9\nnode 31 should be visited before node16\nnode 31 should be visited before node27\nnode 31 should be visited before node15\nnode 31 should be visited before node19\nnode 31 should be visited before node28\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,17,24,29,26,30,18,31,11,1,12,20,23,25,22,5,19,9,3,16,10,7,8,27,6,15,21,4,0,13,28,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph67",
        "image": "data/topology/graph_visual/hard/graph67.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node9\nnode 0 should be visited before node22\nnode 0 should be visited before node25\nnode 0 should be visited before node18\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 0 should be visited before node24\nnode 0 should be visited before node1\nnode 0 should be visited before node12\nnode 1 should be visited before node6\nnode 1 should be visited before node19\nnode 1 should be visited before node15\nnode 2 should be visited before node0\nnode 2 should be visited before node22\nnode 2 should be visited before node23\nnode 2 should be visited before node18\nnode 2 should be visited before node5\nnode 2 should be visited before node12\nnode 3 should be visited before node10\nnode 3 should be visited before node16\nnode 3 should be visited before node8\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node22\nnode 3 should be visited before node17\nnode 3 should be visited before node23\nnode 3 should be visited before node18\nnode 3 should be visited before node21\nnode 3 should be visited before node1\nnode 3 should be visited before node12\nnode 3 should be visited before node20\nnode 3 should be visited before node6\nnode 3 should be visited before node19\nnode 4 should be visited before node9\nnode 4 should be visited before node17\nnode 4 should be visited before node23\nnode 4 should be visited before node5\nnode 4 should be visited before node21\nnode 4 should be visited before node24\nnode 4 should be visited before node6\nnode 5 should be visited before node7\nnode 5 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node6\nnode 5 should be visited before node19\nnode 5 should be visited before node15\nnode 7 should be visited before node24\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 7 should be visited before node19\nnode 8 should be visited before node14\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node18\nnode 8 should be visited before node5\nnode 8 should be visited before node21\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node25\nnode 9 should be visited before node23\nnode 9 should be visited before node21\nnode 9 should be visited before node24\nnode 9 should be visited before node1\nnode 9 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node22\nnode 10 should be visited before node23\nnode 10 should be visited before node7\nnode 10 should be visited before node12\nnode 10 should be visited before node20\nnode 10 should be visited before node6\nnode 10 should be visited before node19\nnode 10 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node16\nnode 11 should be visited before node8\nnode 11 should be visited before node14\nnode 11 should be visited before node2\nnode 11 should be visited before node0\nnode 11 should be visited before node9\nnode 11 should be visited before node17\nnode 11 should be visited before node23\nnode 11 should be visited before node18\nnode 11 should be visited before node21\nnode 11 should be visited before node24\nnode 11 should be visited before node20\nnode 11 should be visited before node6\nnode 11 should be visited before node19\nnode 11 should be visited before node15\nnode 12 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node22\nnode 13 should be visited before node17\nnode 13 should be visited before node5\nnode 13 should be visited before node21\nnode 13 should be visited before node12\nnode 13 should be visited before node20\nnode 13 should be visited before node6\nnode 13 should be visited before node19\nnode 13 should be visited before node15\nnode 14 should be visited before node2\nnode 14 should be visited before node4\nnode 14 should be visited before node22\nnode 14 should be visited before node17\nnode 14 should be visited before node25\nnode 14 should be visited before node23\nnode 14 should be visited before node18\nnode 14 should be visited before node5\nnode 14 should be visited before node21\nnode 14 should be visited before node24\nnode 14 should be visited before node19\nnode 14 should be visited before node15\nnode 16 should be visited before node14\nnode 16 should be visited before node2\nnode 16 should be visited before node9\nnode 16 should be visited before node17\nnode 16 should be visited before node18\nnode 16 should be visited before node5\nnode 16 should be visited before node24\nnode 16 should be visited before node12\nnode 16 should be visited before node19\nnode 17 should be visited before node23\nnode 17 should be visited before node7\nnode 17 should be visited before node24\nnode 17 should be visited before node12\nnode 17 should be visited before node20\nnode 17 should be visited before node19\nnode 18 should be visited before node5\nnode 18 should be visited before node7\nnode 18 should be visited before node21\nnode 18 should be visited before node24\nnode 18 should be visited before node20\nnode 20 should be visited before node6\nnode 20 should be visited before node19\nnode 20 should be visited before node15\nnode 21 should be visited before node1\nnode 21 should be visited before node12\nnode 21 should be visited before node20\nnode 21 should be visited before node19\nnode 22 should be visited before node17\nnode 22 should be visited before node25\nnode 22 should be visited before node23\nnode 22 should be visited before node1\nnode 22 should be visited before node20\nnode 22 should be visited before node6\nnode 22 should be visited before node19\nnode 23 should be visited before node7\nnode 23 should be visited before node21\nnode 23 should be visited before node1\nnode 23 should be visited before node19\nnode 24 should be visited before node12\nnode 25 should be visited before node23\nnode 25 should be visited before node5\nnode 25 should be visited before node7\nnode 25 should be visited before node24\nnode 25 should be visited before node20\nnode 25 should be visited before node6\nnode 25 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,11,13,10,8,16,14,2,4,0,9,22,18,17,25,23,5,7,21,24,1,20,12,19,15,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph1123",
        "image": "data/topology/graph_visual/hard/graph1123.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node24\nnode 0 should be visited before node34\nnode 0 should be visited before node10\nnode 0 should be visited before node26\nnode 0 should be visited before node7\nnode 0 should be visited before node18\nnode 0 should be visited before node25\nnode 0 should be visited before node17\nnode 0 should be visited before node1\nnode 0 should be visited before node27\nnode 0 should be visited before node15\nnode 0 should be visited before node3\nnode 0 should be visited before node21\nnode 0 should be visited before node22\nnode 1 should be visited before node3\nnode 2 should be visited before node17\nnode 2 should be visited before node11\nnode 2 should be visited before node30\nnode 2 should be visited before node23\nnode 2 should be visited before node27\nnode 2 should be visited before node22\nnode 4 should be visited before node30\nnode 4 should be visited before node27\nnode 4 should be visited before node15\nnode 5 should be visited before node11\nnode 5 should be visited before node19\nnode 5 should be visited before node23\nnode 5 should be visited before node1\nnode 5 should be visited before node15\nnode 5 should be visited before node21\nnode 6 should be visited before node4\nnode 6 should be visited before node30\nnode 6 should be visited before node19\nnode 6 should be visited before node31\nnode 6 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node11\nnode 7 should be visited before node31\nnode 8 should be visited before node5\nnode 8 should be visited before node20\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node30\nnode 8 should be visited before node19\nnode 8 should be visited before node13\nnode 8 should be visited before node1\nnode 8 should be visited before node27\nnode 9 should be visited before node23\nnode 9 should be visited before node15\nnode 10 should be visited before node26\nnode 10 should be visited before node8\nnode 10 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node11\nnode 10 should be visited before node30\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node23\nnode 10 should be visited before node27\nnode 10 should be visited before node21\nnode 10 should be visited before node22\nnode 11 should be visited before node9\nnode 11 should be visited before node19\nnode 11 should be visited before node1\nnode 11 should be visited before node15\nnode 11 should be visited before node21\nnode 11 should be visited before node22\nnode 12 should be visited before node32\nnode 12 should be visited before node18\nnode 12 should be visited before node6\nnode 12 should be visited before node25\nnode 12 should be visited before node4\nnode 12 should be visited before node11\nnode 12 should be visited before node13\nnode 12 should be visited before node15\nnode 12 should be visited before node3\nnode 13 should be visited before node23\nnode 13 should be visited before node1\nnode 13 should be visited before node31\nnode 13 should be visited before node3\nnode 13 should be visited before node21\nnode 14 should be visited before node4\nnode 14 should be visited before node30\nnode 14 should be visited before node1\nnode 14 should be visited before node31\nnode 14 should be visited before node22\nnode 15 should be visited before node22\nnode 16 should be visited before node32\nnode 16 should be visited before node8\nnode 16 should be visited before node18\nnode 16 should be visited before node2\nnode 16 should be visited before node4\nnode 16 should be visited before node23\nnode 16 should be visited before node21\nnode 17 should be visited before node19\nnode 17 should be visited before node13\nnode 17 should be visited before node23\nnode 17 should be visited before node31\nnode 17 should be visited before node15\nnode 17 should be visited before node21\nnode 18 should be visited before node4\nnode 18 should be visited before node19\nnode 19 should be visited before node31\nnode 19 should be visited before node3\nnode 20 should be visited before node11\nnode 20 should be visited before node9\nnode 20 should be visited before node19\nnode 20 should be visited before node23\nnode 20 should be visited before node31\nnode 20 should be visited before node3\nnode 23 should be visited before node21\nnode 23 should be visited before node22\nnode 24 should be visited before node29\nnode 24 should be visited before node34\nnode 24 should be visited before node28\nnode 24 should be visited before node32\nnode 24 should be visited before node10\nnode 24 should be visited before node18\nnode 24 should be visited before node6\nnode 24 should be visited before node25\nnode 24 should be visited before node20\nnode 24 should be visited before node17\nnode 24 should be visited before node4\nnode 24 should be visited before node11\nnode 24 should be visited before node23\nnode 24 should be visited before node1\nnode 24 should be visited before node27\nnode 25 should be visited before node5\nnode 25 should be visited before node2\nnode 25 should be visited before node9\nnode 25 should be visited before node31\nnode 26 should be visited before node7\nnode 26 should be visited before node8\nnode 26 should be visited before node14\nnode 26 should be visited before node23\nnode 26 should be visited before node31\nnode 26 should be visited before node15\nnode 28 should be visited before node16\nnode 28 should be visited before node32\nnode 28 should be visited before node8\nnode 28 should be visited before node18\nnode 28 should be visited before node6\nnode 28 should be visited before node5\nnode 28 should be visited before node17\nnode 28 should be visited before node4\nnode 28 should be visited before node13\nnode 28 should be visited before node23\nnode 29 should be visited before node16\nnode 29 should be visited before node20\nnode 29 should be visited before node14\nnode 29 should be visited before node2\nnode 29 should be visited before node4\nnode 29 should be visited before node15\nnode 30 should be visited before node13\nnode 30 should be visited before node27\nnode 31 should be visited before node15\nnode 31 should be visited before node22\nnode 32 should be visited before node10\nnode 32 should be visited before node18\nnode 32 should be visited before node25\nnode 32 should be visited before node17\nnode 32 should be visited before node9\nnode 32 should be visited before node13\nnode 32 should be visited before node27\nnode 32 should be visited before node21\nnode 33 should be visited before node12\nnode 33 should be visited before node10\nnode 33 should be visited before node26\nnode 33 should be visited before node8\nnode 33 should be visited before node20\nnode 33 should be visited before node4\nnode 33 should be visited before node11\nnode 33 should be visited before node9\nnode 33 should be visited before node23\nnode 33 should be visited before node1\nnode 33 should be visited before node31\nnode 33 should be visited before node15\nnode 34 should be visited before node16\nnode 34 should be visited before node5\nnode 34 should be visited before node17\nnode 34 should be visited before node9\nnode 34 should be visited before node13\nnode 34 should be visited before node1\nnode 34 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,33,24,12,29,34,28,16,6,32,10,25,26,7,8,14,18,5,20,2,4,17,11,30,9,19,13,27,23,1,31,21,3,15,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph92",
        "image": "data/topology/graph_visual/hard/graph92.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node1\nnode 0 should be visited before node19\nnode 0 should be visited before node21\nnode 0 should be visited before node13\nnode 0 should be visited before node20\nnode 0 should be visited before node17\nnode 0 should be visited before node2\nnode 0 should be visited before node22\nnode 0 should be visited before node24\nnode 0 should be visited before node16\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 1 should be visited before node21\nnode 1 should be visited before node12\nnode 1 should be visited before node17\nnode 1 should be visited before node22\nnode 1 should be visited before node24\nnode 1 should be visited before node7\nnode 2 should be visited before node10\nnode 2 should be visited before node16\nnode 3 should be visited before node21\nnode 3 should be visited before node13\nnode 3 should be visited before node2\nnode 3 should be visited before node10\nnode 3 should be visited before node22\nnode 3 should be visited before node24\nnode 3 should be visited before node16\nnode 4 should be visited before node3\nnode 4 should be visited before node19\nnode 4 should be visited before node13\nnode 4 should be visited before node10\nnode 4 should be visited before node22\nnode 4 should be visited before node7\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node19\nnode 5 should be visited before node21\nnode 5 should be visited before node13\nnode 5 should be visited before node20\nnode 5 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node22\nnode 5 should be visited before node16\nnode 5 should be visited before node7\nnode 5 should be visited before node9\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node19\nnode 6 should be visited before node21\nnode 6 should be visited before node13\nnode 6 should be visited before node14\nnode 6 should be visited before node20\nnode 6 should be visited before node17\nnode 6 should be visited before node10\nnode 6 should be visited before node24\nnode 6 should be visited before node7\nnode 8 should be visited before node25\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node19\nnode 8 should be visited before node21\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node20\nnode 8 should be visited before node17\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 10 should be visited before node22\nnode 10 should be visited before node9\nnode 11 should be visited before node8\nnode 11 should be visited before node0\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node14\nnode 11 should be visited before node2\nnode 11 should be visited before node10\nnode 11 should be visited before node22\nnode 11 should be visited before node16\nnode 11 should be visited before node7\nnode 11 should be visited before node9\nnode 12 should be visited before node2\nnode 12 should be visited before node9\nnode 13 should be visited before node20\nnode 13 should be visited before node22\nnode 13 should be visited before node24\nnode 13 should be visited before node9\nnode 14 should be visited before node20\nnode 14 should be visited before node17\nnode 14 should be visited before node7\nnode 15 should be visited before node11\nnode 15 should be visited before node23\nnode 15 should be visited before node8\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node21\nnode 15 should be visited before node13\nnode 15 should be visited before node14\nnode 15 should be visited before node12\nnode 15 should be visited before node20\nnode 15 should be visited before node17\nnode 15 should be visited before node2\nnode 15 should be visited before node10\nnode 15 should be visited before node24\nnode 15 should be visited before node16\nnode 15 should be visited before node9\nnode 16 should be visited before node7\nnode 17 should be visited before node10\nnode 17 should be visited before node24\nnode 17 should be visited before node16\nnode 17 should be visited before node7\nnode 17 should be visited before node9\nnode 18 should be visited before node23\nnode 18 should be visited before node8\nnode 18 should be visited before node0\nnode 18 should be visited before node5\nnode 18 should be visited before node4\nnode 18 should be visited before node19\nnode 18 should be visited before node21\nnode 18 should be visited before node13\nnode 18 should be visited before node14\nnode 18 should be visited before node12\nnode 18 should be visited before node20\nnode 18 should be visited before node17\nnode 18 should be visited before node22\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 19 should be visited before node21\nnode 19 should be visited before node14\nnode 19 should be visited before node12\nnode 19 should be visited before node17\nnode 19 should be visited before node2\nnode 19 should be visited before node22\nnode 20 should be visited before node2\nnode 20 should be visited before node10\nnode 20 should be visited before node22\nnode 20 should be visited before node16\nnode 20 should be visited before node7\nnode 20 should be visited before node9\nnode 21 should be visited before node13\nnode 21 should be visited before node20\nnode 21 should be visited before node10\nnode 21 should be visited before node22\nnode 21 should be visited before node16\nnode 22 should be visited before node24\nnode 22 should be visited before node7\nnode 23 should be visited before node25\nnode 23 should be visited before node6\nnode 23 should be visited before node1\nnode 23 should be visited before node5\nnode 23 should be visited before node20\nnode 23 should be visited before node2\nnode 23 should be visited before node24\nnode 23 should be visited before node7\nnode 23 should be visited before node9\nnode 24 should be visited before node9\nnode 25 should be visited before node6\nnode 25 should be visited before node21\nnode 25 should be visited before node13\nnode 25 should be visited before node20\nnode 25 should be visited before node17\nnode 25 should be visited before node10\nnode 25 should be visited before node24\nnode 25 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,18,11,23,8,25,6,0,5,1,4,3,19,21,14,12,13,17,20,2,10,16,22,24,7,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph161",
        "image": "data/topology/graph_visual/hard/graph161.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node5\nnode 2 should be visited before node11\nnode 2 should be visited before node14\nnode 2 should be visited before node1\nnode 2 should be visited before node15\nnode 2 should be visited before node5\nnode 3 should be visited before node13\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node20\nnode 4 should be visited before node18\nnode 4 should be visited before node7\nnode 4 should be visited before node2\nnode 4 should be visited before node22\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node10\nnode 6 should be visited before node12\nnode 7 should be visited before node26\nnode 7 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node17\nnode 8 should be visited before node21\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node13\nnode 9 should be visited before node1\nnode 10 should be visited before node20\nnode 11 should be visited before node9\nnode 11 should be visited before node14\nnode 11 should be visited before node20\nnode 13 should be visited before node14\nnode 15 should be visited before node10\nnode 16 should be visited before node23\nnode 16 should be visited before node25\nnode 16 should be visited before node2\nnode 16 should be visited before node21\nnode 16 should be visited before node26\nnode 16 should be visited before node24\nnode 16 should be visited before node13\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 17 should be visited before node25\nnode 17 should be visited before node2\nnode 17 should be visited before node21\nnode 17 should be visited before node26\nnode 17 should be visited before node24\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 18 should be visited before node25\nnode 18 should be visited before node2\nnode 18 should be visited before node24\nnode 18 should be visited before node11\nnode 18 should be visited before node22\nnode 18 should be visited before node0\nnode 18 should be visited before node13\nnode 19 should be visited before node2\nnode 19 should be visited before node6\nnode 19 should be visited before node13\nnode 19 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node20\nnode 21 should be visited before node26\nnode 21 should be visited before node1\nnode 21 should be visited before node20\nnode 22 should be visited before node6\nnode 22 should be visited before node1\nnode 22 should be visited before node10\nnode 22 should be visited before node12\nnode 23 should be visited before node7\nnode 23 should be visited before node26\nnode 23 should be visited before node24\nnode 23 should be visited before node5\nnode 23 should be visited before node20\nnode 24 should be visited before node11\nnode 24 should be visited before node22\nnode 24 should be visited before node9\nnode 24 should be visited before node0\nnode 24 should be visited before node13\nnode 24 should be visited before node1\nnode 24 should be visited before node10\nnode 25 should be visited before node26\nnode 25 should be visited before node24\nnode 25 should be visited before node11\nnode 25 should be visited before node13\nnode 25 should be visited before node1\nnode 25 should be visited before node5\nnode 26 should be visited before node13\nnode 26 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,16,18,23,8,7,19,17,25,2,21,24,26,11,22,9,6,0,3,1,15,5,13,12,10,14,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph117",
        "image": "data/topology/graph_visual/hard/graph117.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 1 should be visited before node19\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node21\nnode 1 should be visited before node16\nnode 2 should be visited before node8\nnode 2 should be visited before node17\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node10\nnode 2 should be visited before node20\nnode 2 should be visited before node5\nnode 2 should be visited before node14\nnode 2 should be visited before node7\nnode 2 should be visited before node13\nnode 2 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node1\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 3 should be visited before node14\nnode 3 should be visited before node21\nnode 3 should be visited before node12\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 4 should be visited before node19\nnode 4 should be visited before node10\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 4 should be visited before node14\nnode 4 should be visited before node21\nnode 4 should be visited before node12\nnode 4 should be visited before node7\nnode 5 should be visited before node14\nnode 5 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node16\nnode 6 should be visited before node11\nnode 6 should be visited before node23\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node25\nnode 6 should be visited before node9\nnode 6 should be visited before node10\nnode 6 should be visited before node0\nnode 6 should be visited before node5\nnode 6 should be visited before node21\nnode 6 should be visited before node7\nnode 6 should be visited before node13\nnode 8 should be visited before node15\nnode 8 should be visited before node3\nnode 8 should be visited before node17\nnode 8 should be visited before node9\nnode 8 should be visited before node19\nnode 8 should be visited before node20\nnode 8 should be visited before node24\nnode 8 should be visited before node5\nnode 8 should be visited before node14\nnode 8 should be visited before node21\nnode 8 should be visited before node12\nnode 8 should be visited before node7\nnode 9 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node24\nnode 9 should be visited before node21\nnode 9 should be visited before node7\nnode 10 should be visited before node20\nnode 10 should be visited before node24\nnode 10 should be visited before node14\nnode 10 should be visited before node21\nnode 10 should be visited before node12\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 11 should be visited before node18\nnode 11 should be visited before node23\nnode 11 should be visited before node2\nnode 11 should be visited before node15\nnode 11 should be visited before node25\nnode 11 should be visited before node4\nnode 11 should be visited before node9\nnode 11 should be visited before node1\nnode 11 should be visited before node19\nnode 11 should be visited before node0\nnode 11 should be visited before node14\nnode 11 should be visited before node21\nnode 11 should be visited before node7\nnode 11 should be visited before node16\nnode 13 should be visited before node16\nnode 14 should be visited before node21\nnode 14 should be visited before node7\nnode 14 should be visited before node13\nnode 14 should be visited before node16\nnode 15 should be visited before node25\nnode 15 should be visited before node3\nnode 15 should be visited before node17\nnode 15 should be visited before node1\nnode 15 should be visited before node20\nnode 15 should be visited before node5\nnode 15 should be visited before node16\nnode 17 should be visited before node4\nnode 17 should be visited before node9\nnode 17 should be visited before node20\nnode 17 should be visited before node5\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node16\nnode 18 should be visited before node22\nnode 18 should be visited before node23\nnode 18 should be visited before node2\nnode 18 should be visited before node8\nnode 18 should be visited before node15\nnode 18 should be visited before node25\nnode 18 should be visited before node1\nnode 18 should be visited before node0\nnode 18 should be visited before node24\nnode 18 should be visited before node5\nnode 18 should be visited before node21\nnode 18 should be visited before node12\nnode 19 should be visited before node0\nnode 19 should be visited before node20\nnode 19 should be visited before node5\nnode 19 should be visited before node14\nnode 19 should be visited before node12\nnode 19 should be visited before node7\nnode 20 should be visited before node24\nnode 21 should be visited before node12\nnode 21 should be visited before node7\nnode 22 should be visited before node23\nnode 22 should be visited before node8\nnode 22 should be visited before node15\nnode 22 should be visited before node3\nnode 22 should be visited before node4\nnode 22 should be visited before node9\nnode 22 should be visited before node1\nnode 22 should be visited before node19\nnode 22 should be visited before node5\nnode 22 should be visited before node7\nnode 22 should be visited before node13\nnode 23 should be visited before node8\nnode 23 should be visited before node15\nnode 23 should be visited before node3\nnode 23 should be visited before node17\nnode 23 should be visited before node4\nnode 23 should be visited before node1\nnode 23 should be visited before node19\nnode 23 should be visited before node20\nnode 23 should be visited before node24\nnode 23 should be visited before node5\nnode 23 should be visited before node7\nnode 23 should be visited before node16\nnode 24 should be visited before node12\nnode 24 should be visited before node7\nnode 24 should be visited before node13\nnode 24 should be visited before node16\nnode 25 should be visited before node3\nnode 25 should be visited before node17\nnode 25 should be visited before node4\nnode 25 should be visited before node10\nnode 25 should be visited before node20\nnode 25 should be visited before node5\nnode 25 should be visited before node21\nnode 25 should be visited before node7\nnode 25 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,11,18,22,2,23,8,15,25,3,17,4,9,10,1,19,0,20,5,24,14,21,13,12,7,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph169",
        "image": "data/topology/graph_visual/hard/graph169.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node24\nnode 0 should be visited before node2\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node15\nnode 0 should be visited before node8\nnode 1 should be visited before node20\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node23\nnode 3 should be visited before node10\nnode 4 should be visited before node23\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node10\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 5 should be visited before node15\nnode 6 should be visited before node24\nnode 6 should be visited before node10\nnode 7 should be visited before node13\nnode 7 should be visited before node2\nnode 7 should be visited before node8\nnode 9 should be visited before node7\nnode 9 should be visited before node21\nnode 9 should be visited before node15\nnode 9 should be visited before node8\nnode 11 should be visited before node23\nnode 11 should be visited before node21\nnode 11 should be visited before node13\nnode 11 should be visited before node24\nnode 11 should be visited before node20\nnode 11 should be visited before node5\nnode 11 should be visited before node8\nnode 12 should be visited before node1\nnode 12 should be visited before node24\nnode 12 should be visited before node10\nnode 12 should be visited before node8\nnode 13 should be visited before node24\nnode 13 should be visited before node15\nnode 14 should be visited before node24\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 16 should be visited before node17\nnode 16 should be visited before node11\nnode 16 should be visited before node23\nnode 16 should be visited before node2\nnode 16 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node22\nnode 17 should be visited before node6\nnode 17 should be visited before node9\nnode 17 should be visited before node7\nnode 17 should be visited before node2\nnode 17 should be visited before node15\nnode 18 should be visited before node16\nnode 18 should be visited before node26\nnode 18 should be visited before node11\nnode 18 should be visited before node12\nnode 18 should be visited before node25\nnode 18 should be visited before node4\nnode 18 should be visited before node9\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 19 should be visited before node18\nnode 19 should be visited before node14\nnode 19 should be visited before node4\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node2\nnode 19 should be visited before node10\nnode 19 should be visited before node15\nnode 20 should be visited before node2\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 21 should be visited before node20\nnode 21 should be visited before node15\nnode 21 should be visited before node8\nnode 22 should be visited before node9\nnode 22 should be visited before node21\nnode 22 should be visited before node13\nnode 22 should be visited before node2\nnode 22 should be visited before node10\nnode 23 should be visited before node13\nnode 23 should be visited before node15\nnode 23 should be visited before node8\nnode 24 should be visited before node2\nnode 24 should be visited before node8\nnode 25 should be visited before node3\nnode 25 should be visited before node22\nnode 25 should be visited before node6\nnode 25 should be visited before node21\nnode 25 should be visited before node10\nnode 25 should be visited before node15\nnode 26 should be visited before node11\nnode 26 should be visited before node25\nnode 26 should be visited before node0\nnode 26 should be visited before node3\nnode 26 should be visited before node22\nnode 26 should be visited before node1\nnode 26 should be visited before node7\nnode 26 should be visited before node20\nnode 26 should be visited before node2\nnode 26 should be visited before node5\nnode 26 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,18,16,26,12,17,11,25,0,14,22,6,3,4,9,1,23,7,21,10,13,20,24,5,2,8,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph89",
        "image": "data/topology/graph_visual/hard/graph89.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node21\nnode 0 should be visited before node1\nnode 0 should be visited before node18\nnode 0 should be visited before node16\nnode 0 should be visited before node15\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 0 should be visited before node24\nnode 0 should be visited before node19\nnode 0 should be visited before node23\nnode 0 should be visited before node4\nnode 0 should be visited before node17\nnode 1 should be visited before node18\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node24\nnode 1 should be visited before node9\nnode 1 should be visited before node23\nnode 1 should be visited before node20\nnode 1 should be visited before node4\nnode 1 should be visited before node22\nnode 1 should be visited before node17\nnode 1 should be visited before node13\nnode 2 should be visited before node18\nnode 2 should be visited before node16\nnode 2 should be visited before node15\nnode 2 should be visited before node5\nnode 2 should be visited before node10\nnode 2 should be visited before node7\nnode 2 should be visited before node3\nnode 2 should be visited before node24\nnode 2 should be visited before node19\nnode 2 should be visited before node23\nnode 2 should be visited before node20\nnode 2 should be visited before node4\nnode 2 should be visited before node25\nnode 2 should be visited before node22\nnode 3 should be visited before node19\nnode 3 should be visited before node20\nnode 3 should be visited before node22\nnode 3 should be visited before node17\nnode 4 should be visited before node25\nnode 4 should be visited before node17\nnode 4 should be visited before node13\nnode 5 should be visited before node7\nnode 5 should be visited before node3\nnode 5 should be visited before node9\nnode 5 should be visited before node20\nnode 5 should be visited before node17\nnode 5 should be visited before node13\nnode 6 should be visited before node0\nnode 6 should be visited before node8\nnode 6 should be visited before node15\nnode 6 should be visited before node5\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 6 should be visited before node24\nnode 6 should be visited before node20\nnode 6 should be visited before node13\nnode 7 should be visited before node3\nnode 7 should be visited before node24\nnode 7 should be visited before node9\nnode 7 should be visited before node22\nnode 7 should be visited before node17\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node24\nnode 8 should be visited before node4\nnode 8 should be visited before node25\nnode 9 should be visited before node20\nnode 9 should be visited before node4\nnode 9 should be visited before node17\nnode 10 should be visited before node9\nnode 10 should be visited before node23\nnode 10 should be visited before node22\nnode 10 should be visited before node17\nnode 11 should be visited before node21\nnode 11 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node15\nnode 11 should be visited before node5\nnode 11 should be visited before node7\nnode 11 should be visited before node3\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 11 should be visited before node25\nnode 11 should be visited before node22\nnode 11 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node8\nnode 12 should be visited before node16\nnode 12 should be visited before node10\nnode 12 should be visited before node3\nnode 12 should be visited before node23\nnode 12 should be visited before node20\nnode 12 should be visited before node4\nnode 12 should be visited before node17\nnode 14 should be visited before node2\nnode 14 should be visited before node18\nnode 14 should be visited before node16\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node24\nnode 14 should be visited before node19\nnode 14 should be visited before node25\nnode 14 should be visited before node22\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 15 should be visited before node10\nnode 15 should be visited before node7\nnode 15 should be visited before node20\nnode 15 should be visited before node4\nnode 15 should be visited before node22\nnode 15 should be visited before node17\nnode 15 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node5\nnode 16 should be visited before node10\nnode 16 should be visited before node19\nnode 16 should be visited before node23\nnode 16 should be visited before node20\nnode 16 should be visited before node22\nnode 17 should be visited before node13\nnode 18 should be visited before node7\nnode 18 should be visited before node24\nnode 18 should be visited before node25\nnode 18 should be visited before node22\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node4\nnode 19 should be visited before node25\nnode 19 should be visited before node22\nnode 20 should be visited before node4\nnode 21 should be visited before node2\nnode 21 should be visited before node8\nnode 21 should be visited before node1\nnode 21 should be visited before node15\nnode 21 should be visited before node19\nnode 21 should be visited before node23\nnode 21 should be visited before node4\nnode 21 should be visited before node25\nnode 21 should be visited before node22\nnode 21 should be visited before node13\nnode 22 should be visited before node17\nnode 23 should be visited before node4\nnode 23 should be visited before node22\nnode 23 should be visited before node17\nnode 23 should be visited before node13\nnode 24 should be visited before node19\nnode 24 should be visited before node23\nnode 24 should be visited before node20\nnode 24 should be visited before node4\nnode 24 should be visited before node17\nnode 25 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,12,14,11,0,21,2,8,1,16,18,15,5,10,7,3,24,9,19,23,20,22,4,25,17,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph271",
        "image": "data/topology/graph_visual/hard/graph271.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node19\nnode 0 should be visited before node10\nnode 0 should be visited before node15\nnode 0 should be visited before node21\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node17\nnode 2 should be visited before node16\nnode 3 should be visited before node22\nnode 3 should be visited before node18\nnode 3 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node16\nnode 3 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 4 should be visited before node18\nnode 4 should be visited before node12\nnode 4 should be visited before node17\nnode 4 should be visited before node1\nnode 5 should be visited before node24\nnode 6 should be visited before node4\nnode 6 should be visited before node25\nnode 6 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node21\nnode 6 should be visited before node26\nnode 6 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node20\nnode 7 should be visited before node15\nnode 8 should be visited before node12\nnode 8 should be visited before node17\nnode 8 should be visited before node11\nnode 8 should be visited before node21\nnode 9 should be visited before node17\nnode 9 should be visited before node5\nnode 9 should be visited before node15\nnode 9 should be visited before node26\nnode 10 should be visited before node21\nnode 10 should be visited before node14\nnode 11 should be visited before node24\nnode 11 should be visited before node21\nnode 12 should be visited before node9\nnode 12 should be visited before node5\nnode 12 should be visited before node24\nnode 12 should be visited before node21\nnode 14 should be visited before node13\nnode 16 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node15\nnode 17 should be visited before node20\nnode 17 should be visited before node26\nnode 18 should be visited before node12\nnode 18 should be visited before node27\nnode 18 should be visited before node19\nnode 18 should be visited before node5\nnode 18 should be visited before node24\nnode 18 should be visited before node15\nnode 18 should be visited before node26\nnode 19 should be visited before node17\nnode 19 should be visited before node16\nnode 19 should be visited before node11\nnode 19 should be visited before node21\nnode 20 should be visited before node1\nnode 20 should be visited before node11\nnode 20 should be visited before node26\nnode 22 should be visited before node6\nnode 22 should be visited before node4\nnode 22 should be visited before node7\nnode 22 should be visited before node18\nnode 22 should be visited before node8\nnode 22 should be visited before node27\nnode 22 should be visited before node9\nnode 22 should be visited before node1\nnode 22 should be visited before node11\nnode 22 should be visited before node5\nnode 22 should be visited before node21\nnode 22 should be visited before node26\nnode 22 should be visited before node13\nnode 23 should be visited before node7\nnode 23 should be visited before node12\nnode 23 should be visited before node11\nnode 23 should be visited before node14\nnode 24 should be visited before node15\nnode 24 should be visited before node21\nnode 24 should be visited before node13\nnode 25 should be visited before node8\nnode 25 should be visited before node17\nnode 25 should be visited before node16\nnode 25 should be visited before node20\nnode 25 should be visited before node1\nnode 25 should be visited before node11\nnode 25 should be visited before node5\nnode 25 should be visited before node21\nnode 25 should be visited before node13\nnode 26 should be visited before node13\nnode 27 should be visited before node19\nnode 27 should be visited before node20\nnode 27 should be visited before node24\nnode 27 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,3,23,22,6,7,4,25,18,8,27,12,19,9,16,17,20,1,11,26,5,10,24,14,15,21,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph78",
        "image": "data/topology/graph_visual/hard/graph78.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node14\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node4\nnode 0 should be visited before node8\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node10\nnode 0 should be visited before node17\nnode 1 should be visited before node21\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 1 should be visited before node20\nnode 1 should be visited before node18\nnode 1 should be visited before node13\nnode 1 should be visited before node23\nnode 1 should be visited before node22\nnode 1 should be visited before node10\nnode 2 should be visited before node20\nnode 2 should be visited before node3\nnode 2 should be visited before node23\nnode 2 should be visited before node5\nnode 2 should be visited before node22\nnode 2 should be visited before node17\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 3 should be visited before node5\nnode 3 should be visited before node22\nnode 3 should be visited before node10\nnode 3 should be visited before node17\nnode 4 should be visited before node8\nnode 4 should be visited before node20\nnode 4 should be visited before node3\nnode 4 should be visited before node11\nnode 4 should be visited before node5\nnode 4 should be visited before node22\nnode 4 should be visited before node9\nnode 5 should be visited before node22\nnode 5 should be visited before node10\nnode 5 should be visited before node17\nnode 6 should be visited before node19\nnode 6 should be visited before node12\nnode 6 should be visited before node25\nnode 6 should be visited before node14\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node8\nnode 6 should be visited before node20\nnode 6 should be visited before node23\nnode 6 should be visited before node5\nnode 6 should be visited before node9\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node23\nnode 7 should be visited before node5\nnode 7 should be visited before node22\nnode 7 should be visited before node9\nnode 7 should be visited before node10\nnode 7 should be visited before node17\nnode 8 should be visited before node18\nnode 8 should be visited before node13\nnode 8 should be visited before node23\nnode 8 should be visited before node9\nnode 8 should be visited before node10\nnode 8 should be visited before node17\nnode 9 should be visited before node10\nnode 9 should be visited before node17\nnode 10 should be visited before node17\nnode 11 should be visited before node16\nnode 11 should be visited before node22\nnode 11 should be visited before node10\nnode 11 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node18\nnode 12 should be visited before node16\nnode 12 should be visited before node10\nnode 13 should be visited before node16\nnode 13 should be visited before node22\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node17\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node21\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node20\nnode 14 should be visited before node3\nnode 14 should be visited before node18\nnode 14 should be visited before node11\nnode 14 should be visited before node16\nnode 14 should be visited before node23\nnode 14 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node21\nnode 15 should be visited before node7\nnode 15 should be visited before node4\nnode 15 should be visited before node8\nnode 15 should be visited before node11\nnode 15 should be visited before node16\nnode 15 should be visited before node23\nnode 15 should be visited before node22\nnode 15 should be visited before node9\nnode 15 should be visited before node17\nnode 16 should be visited before node9\nnode 16 should be visited before node10\nnode 16 should be visited before node17\nnode 18 should be visited before node11\nnode 18 should be visited before node16\nnode 18 should be visited before node23\nnode 18 should be visited before node5\nnode 18 should be visited before node9\nnode 18 should be visited before node10\nnode 19 should be visited before node12\nnode 19 should be visited before node15\nnode 19 should be visited before node2\nnode 19 should be visited before node21\nnode 19 should be visited before node18\nnode 19 should be visited before node13\nnode 19 should be visited before node11\nnode 19 should be visited before node23\nnode 19 should be visited before node5\nnode 19 should be visited before node22\nnode 19 should be visited before node10\nnode 19 should be visited before node17\nnode 20 should be visited before node13\nnode 20 should be visited before node11\nnode 20 should be visited before node23\nnode 20 should be visited before node5\nnode 20 should be visited before node9\nnode 20 should be visited before node17\nnode 21 should be visited before node4\nnode 21 should be visited before node8\nnode 21 should be visited before node20\nnode 21 should be visited before node13\nnode 21 should be visited before node16\nnode 21 should be visited before node5\nnode 21 should be visited before node9\nnode 21 should be visited before node10\nnode 21 should be visited before node17\nnode 22 should be visited before node17\nnode 23 should be visited before node5\nnode 23 should be visited before node22\nnode 23 should be visited before node9\nnode 24 should be visited before node19\nnode 24 should be visited before node25\nnode 24 should be visited before node14\nnode 24 should be visited before node1\nnode 24 should be visited before node21\nnode 24 should be visited before node8\nnode 24 should be visited before node20\nnode 24 should be visited before node3\nnode 24 should be visited before node11\nnode 24 should be visited before node5\nnode 24 should be visited before node17\nnode 25 should be visited before node0\nnode 25 should be visited before node2\nnode 25 should be visited before node21\nnode 25 should be visited before node4\nnode 25 should be visited before node18\nnode 25 should be visited before node11\nnode 25 should be visited before node23\nnode 25 should be visited before node10\nnode 25 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,24,19,25,12,15,0,14,1,2,21,7,4,8,20,3,18,13,11,23,16,5,9,22,10,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph31",
        "image": "data/topology/graph_visual/hard/graph31.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 2 should be visited before node22\nnode 2 should be visited before node5\nnode 2 should be visited before node19\nnode 2 should be visited before node4\nnode 2 should be visited before node25\nnode 2 should be visited before node17\nnode 3 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node25\nnode 3 should be visited before node17\nnode 4 should be visited before node24\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node24\nnode 6 should be visited before node17\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node25\nnode 8 should be visited before node11\nnode 8 should be visited before node21\nnode 8 should be visited before node25\nnode 8 should be visited before node17\nnode 9 should be visited before node20\nnode 9 should be visited before node22\nnode 9 should be visited before node13\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node20\nnode 10 should be visited before node2\nnode 10 should be visited before node16\nnode 10 should be visited before node19\nnode 10 should be visited before node8\nnode 10 should be visited before node24\nnode 11 should be visited before node3\nnode 11 should be visited before node17\nnode 12 should be visited before node20\nnode 12 should be visited before node2\nnode 12 should be visited before node23\nnode 12 should be visited before node21\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node4\nnode 13 should be visited before node6\nnode 13 should be visited before node25\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node3\nnode 15 should be visited before node1\nnode 15 should be visited before node4\nnode 15 should be visited before node17\nnode 16 should be visited before node11\nnode 16 should be visited before node21\nnode 16 should be visited before node4\nnode 16 should be visited before node17\nnode 18 should be visited before node2\nnode 18 should be visited before node22\nnode 18 should be visited before node0\nnode 18 should be visited before node5\nnode 18 should be visited before node1\nnode 18 should be visited before node4\nnode 19 should be visited before node11\nnode 20 should be visited before node23\nnode 20 should be visited before node13\nnode 20 should be visited before node11\nnode 20 should be visited before node21\nnode 21 should be visited before node4\nnode 21 should be visited before node17\nnode 22 should be visited before node0\nnode 22 should be visited before node13\nnode 22 should be visited before node19\nnode 22 should be visited before node7\nnode 22 should be visited before node3\nnode 22 should be visited before node4\nnode 22 should be visited before node6\nnode 23 should be visited before node19\nnode 23 should be visited before node8\nnode 23 should be visited before node3\nnode 23 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,10,12,15,18,14,16,20,2,23,22,5,0,19,7,13,8,11,21,3,4,1,6,25,24,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph581",
        "image": "data/topology/graph_visual/hard/graph581.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node22\nnode 1 should be visited before node3\nnode 1 should be visited before node29\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node5\nnode 1 should be visited before node28\nnode 2 should be visited before node24\nnode 2 should be visited before node26\nnode 2 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node28\nnode 3 should be visited before node29\nnode 3 should be visited before node19\nnode 3 should be visited before node13\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node22\nnode 3 should be visited before node28\nnode 4 should be visited before node0\nnode 5 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node0\nnode 5 should be visited before node22\nnode 5 should be visited before node28\nnode 6 should be visited before node1\nnode 6 should be visited before node19\nnode 6 should be visited before node12\nnode 6 should be visited before node5\nnode 6 should be visited before node9\nnode 6 should be visited before node4\nnode 6 should be visited before node22\nnode 6 should be visited before node7\nnode 6 should be visited before node28\nnode 7 should be visited before node28\nnode 8 should be visited before node24\nnode 8 should be visited before node26\nnode 8 should be visited before node17\nnode 8 should be visited before node21\nnode 8 should be visited before node27\nnode 8 should be visited before node1\nnode 8 should be visited before node19\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node28\nnode 9 should be visited before node22\nnode 9 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node4\nnode 10 should be visited before node22\nnode 11 should be visited before node18\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node20\nnode 11 should be visited before node14\nnode 11 should be visited before node27\nnode 11 should be visited before node3\nnode 11 should be visited before node29\nnode 11 should be visited before node19\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 11 should be visited before node7\nnode 12 should be visited before node5\nnode 12 should be visited before node9\nnode 12 should be visited before node22\nnode 13 should be visited before node12\nnode 13 should be visited before node5\nnode 13 should be visited before node4\nnode 13 should be visited before node0\nnode 13 should be visited before node22\nnode 13 should be visited before node28\nnode 14 should be visited before node27\nnode 14 should be visited before node1\nnode 14 should be visited before node29\nnode 14 should be visited before node19\nnode 14 should be visited before node10\nnode 14 should be visited before node12\nnode 14 should be visited before node9\nnode 14 should be visited before node7\nnode 14 should be visited before node28\nnode 15 should be visited before node17\nnode 15 should be visited before node21\nnode 15 should be visited before node20\nnode 15 should be visited before node1\nnode 15 should be visited before node3\nnode 15 should be visited before node29\nnode 15 should be visited before node5\nnode 15 should be visited before node9\nnode 15 should be visited before node7\nnode 15 should be visited before node28\nnode 16 should be visited before node2\nnode 16 should be visited before node15\nnode 16 should be visited before node26\nnode 16 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node0\nnode 16 should be visited before node7\nnode 16 should be visited before node28\nnode 17 should be visited before node1\nnode 17 should be visited before node13\nnode 17 should be visited before node5\nnode 17 should be visited before node9\nnode 17 should be visited before node7\nnode 18 should be visited before node8\nnode 18 should be visited before node26\nnode 18 should be visited before node17\nnode 18 should be visited before node21\nnode 18 should be visited before node6\nnode 18 should be visited before node20\nnode 18 should be visited before node14\nnode 18 should be visited before node29\nnode 18 should be visited before node19\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 18 should be visited before node9\nnode 18 should be visited before node0\nnode 18 should be visited before node22\nnode 18 should be visited before node7\nnode 18 should be visited before node28\nnode 19 should be visited before node13\nnode 19 should be visited before node4\nnode 19 should be visited before node22\nnode 19 should be visited before node28\nnode 20 should be visited before node14\nnode 20 should be visited before node1\nnode 20 should be visited before node3\nnode 20 should be visited before node29\nnode 20 should be visited before node10\nnode 20 should be visited before node12\nnode 20 should be visited before node4\nnode 20 should be visited before node0\nnode 20 should be visited before node22\nnode 20 should be visited before node7\nnode 21 should be visited before node6\nnode 21 should be visited before node27\nnode 21 should be visited before node1\nnode 21 should be visited before node29\nnode 21 should be visited before node19\nnode 21 should be visited before node13\nnode 21 should be visited before node10\nnode 21 should be visited before node12\nnode 21 should be visited before node9\nnode 23 should be visited before node18\nnode 23 should be visited before node16\nnode 23 should be visited before node8\nnode 23 should be visited before node24\nnode 23 should be visited before node26\nnode 23 should be visited before node17\nnode 23 should be visited before node6\nnode 23 should be visited before node27\nnode 23 should be visited before node1\nnode 23 should be visited before node29\nnode 23 should be visited before node19\nnode 23 should be visited before node9\nnode 23 should be visited before node4\nnode 23 should be visited before node7\nnode 24 should be visited before node17\nnode 24 should be visited before node21\nnode 24 should be visited before node20\nnode 24 should be visited before node27\nnode 24 should be visited before node1\nnode 24 should be visited before node19\nnode 24 should be visited before node12\nnode 24 should be visited before node0\nnode 24 should be visited before node28\nnode 25 should be visited before node16\nnode 25 should be visited before node2\nnode 25 should be visited before node15\nnode 25 should be visited before node17\nnode 25 should be visited before node14\nnode 25 should be visited before node13\nnode 25 should be visited before node10\nnode 25 should be visited before node9\nnode 25 should be visited before node4\nnode 25 should be visited before node7\nnode 26 should be visited before node17\nnode 26 should be visited before node6\nnode 26 should be visited before node20\nnode 26 should be visited before node27\nnode 26 should be visited before node29\nnode 26 should be visited before node10\nnode 26 should be visited before node0\nnode 26 should be visited before node28\nnode 27 should be visited before node3\nnode 27 should be visited before node29\nnode 27 should be visited before node19\nnode 27 should be visited before node13\nnode 27 should be visited before node12\nnode 27 should be visited before node5\nnode 27 should be visited before node9\nnode 27 should be visited before node4\nnode 27 should be visited before node0\nnode 29 should be visited before node19\nnode 29 should be visited before node9\nnode 29 should be visited before node4\nnode 29 should be visited before node28\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,23,25,18,16,8,2,15,24,26,21,17,20,6,14,27,1,3,29,10,19,13,12,5,9,4,7,0,28,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph1011",
        "image": "data/topology/graph_visual/hard/graph1011.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 0 should be visited before node20\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 1 should be visited before node22\nnode 1 should be visited before node29\nnode 2 should be visited before node11\nnode 2 should be visited before node21\nnode 2 should be visited before node3\nnode 2 should be visited before node31\nnode 3 should be visited before node22\nnode 3 should be visited before node6\nnode 3 should be visited before node31\nnode 4 should be visited before node29\nnode 6 should be visited before node5\nnode 7 should be visited before node25\nnode 7 should be visited before node1\nnode 7 should be visited before node20\nnode 8 should be visited before node23\nnode 8 should be visited before node27\nnode 8 should be visited before node14\nnode 8 should be visited before node28\nnode 8 should be visited before node3\nnode 8 should be visited before node22\nnode 8 should be visited before node5\nnode 9 should be visited before node1\nnode 10 should be visited before node16\nnode 10 should be visited before node28\nnode 10 should be visited before node3\nnode 10 should be visited before node22\nnode 11 should be visited before node21\nnode 12 should be visited before node8\nnode 12 should be visited before node32\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 12 should be visited before node20\nnode 12 should be visited before node31\nnode 12 should be visited before node5\nnode 13 should be visited before node25\nnode 13 should be visited before node11\nnode 13 should be visited before node9\nnode 13 should be visited before node1\nnode 13 should be visited before node4\nnode 14 should be visited before node2\nnode 14 should be visited before node25\nnode 14 should be visited before node9\nnode 14 should be visited before node3\nnode 14 should be visited before node20\nnode 14 should be visited before node4\nnode 15 should be visited before node27\nnode 15 should be visited before node32\nnode 15 should be visited before node25\nnode 15 should be visited before node11\nnode 15 should be visited before node9\nnode 15 should be visited before node5\nnode 16 should be visited before node23\nnode 16 should be visited before node27\nnode 16 should be visited before node26\nnode 16 should be visited before node17\nnode 16 should be visited before node32\nnode 16 should be visited before node2\nnode 16 should be visited before node1\nnode 16 should be visited before node29\nnode 17 should be visited before node18\nnode 17 should be visited before node11\nnode 17 should be visited before node3\nnode 17 should be visited before node5\nnode 18 should be visited before node2\nnode 18 should be visited before node9\nnode 18 should be visited before node1\nnode 18 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node29\nnode 19 should be visited before node24\nnode 19 should be visited before node15\nnode 19 should be visited before node23\nnode 19 should be visited before node27\nnode 19 should be visited before node32\nnode 19 should be visited before node0\nnode 19 should be visited before node13\nnode 19 should be visited before node2\nnode 19 should be visited before node22\nnode 19 should be visited before node20\nnode 19 should be visited before node29\nnode 20 should be visited before node6\nnode 20 should be visited before node5\nnode 21 should be visited before node9\nnode 21 should be visited before node3\nnode 21 should be visited before node29\nnode 22 should be visited before node20\nnode 22 should be visited before node4\nnode 23 should be visited before node32\nnode 23 should be visited before node0\nnode 23 should be visited before node7\nnode 23 should be visited before node3\nnode 23 should be visited before node20\nnode 23 should be visited before node4\nnode 23 should be visited before node6\nnode 23 should be visited before node31\nnode 24 should be visited before node26\nnode 24 should be visited before node28\nnode 24 should be visited before node25\nnode 24 should be visited before node9\nnode 24 should be visited before node1\nnode 24 should be visited before node22\nnode 25 should be visited before node22\nnode 25 should be visited before node20\nnode 25 should be visited before node6\nnode 25 should be visited before node31\nnode 26 should be visited before node17\nnode 26 should be visited before node32\nnode 26 should be visited before node2\nnode 26 should be visited before node3\nnode 26 should be visited before node4\nnode 27 should be visited before node26\nnode 27 should be visited before node32\nnode 27 should be visited before node13\nnode 27 should be visited before node33\nnode 27 should be visited before node7\nnode 27 should be visited before node25\nnode 27 should be visited before node21\nnode 27 should be visited before node4\nnode 28 should be visited before node18\nnode 28 should be visited before node2\nnode 28 should be visited before node4\nnode 28 should be visited before node6\nnode 30 should be visited before node19\nnode 30 should be visited before node8\nnode 30 should be visited before node0\nnode 30 should be visited before node33\nnode 30 should be visited before node25\nnode 30 should be visited before node1\nnode 30 should be visited before node4\nnode 30 should be visited before node31\nnode 31 should be visited before node29\nnode 32 should be visited before node13\nnode 32 should be visited before node18\nnode 32 should be visited before node11\nnode 32 should be visited before node9\nnode 32 should be visited before node3\nnode 32 should be visited before node4\nnode 32 should be visited before node6\nnode 33 should be visited before node2\nnode 33 should be visited before node20\nnode 33 should be visited before node4\nnode 33 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,12,30,16,19,8,24,15,23,14,28,27,0,26,33,7,17,32,13,18,25,2,11,21,9,3,1,31,22,20,4,6,29,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph103",
        "image": "data/topology/graph_visual/hard/graph103.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 0 should be visited before node13\nnode 0 should be visited before node10\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node5\nnode 0 should be visited before node19\nnode 0 should be visited before node3\nnode 2 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node19\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 4 should be visited before node3\nnode 5 should be visited before node19\nnode 5 should be visited before node14\nnode 5 should be visited before node3\nnode 5 should be visited before node1\nnode 6 should be visited before node0\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 7 should be visited before node12\nnode 7 should be visited before node9\nnode 7 should be visited before node18\nnode 7 should be visited before node19\nnode 7 should be visited before node14\nnode 7 should be visited before node2\nnode 8 should be visited before node6\nnode 8 should be visited before node22\nnode 8 should be visited before node24\nnode 8 should be visited before node21\nnode 8 should be visited before node0\nnode 8 should be visited before node15\nnode 8 should be visited before node11\nnode 8 should be visited before node13\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node14\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node18\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 10 should be visited before node4\nnode 10 should be visited before node19\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 11 should be visited before node13\nnode 11 should be visited before node12\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 11 should be visited before node14\nnode 11 should be visited before node3\nnode 11 should be visited before node2\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 12 should be visited before node5\nnode 12 should be visited before node14\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 13 should be visited before node7\nnode 13 should be visited before node12\nnode 13 should be visited before node14\nnode 13 should be visited before node16\nnode 13 should be visited before node2\nnode 14 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node18\nnode 15 should be visited before node5\nnode 15 should be visited before node19\nnode 15 should be visited before node3\nnode 15 should be visited before node1\nnode 16 should be visited before node3\nnode 16 should be visited before node2\nnode 17 should be visited before node10\nnode 17 should be visited before node7\nnode 17 should be visited before node12\nnode 17 should be visited before node9\nnode 17 should be visited before node16\nnode 18 should be visited before node14\nnode 18 should be visited before node3\nnode 18 should be visited before node2\nnode 18 should be visited before node1\nnode 19 should be visited before node14\nnode 19 should be visited before node2\nnode 20 should be visited before node24\nnode 20 should be visited before node21\nnode 20 should be visited before node0\nnode 20 should be visited before node15\nnode 20 should be visited before node13\nnode 20 should be visited before node10\nnode 20 should be visited before node9\nnode 20 should be visited before node4\nnode 20 should be visited before node18\nnode 20 should be visited before node14\nnode 20 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node11\nnode 21 should be visited before node13\nnode 21 should be visited before node10\nnode 21 should be visited before node7\nnode 21 should be visited before node4\nnode 21 should be visited before node18\nnode 21 should be visited before node5\nnode 21 should be visited before node16\nnode 21 should be visited before node3\nnode 21 should be visited before node2\nnode 21 should be visited before node1\nnode 22 should be visited before node0\nnode 22 should be visited before node15\nnode 22 should be visited before node11\nnode 22 should be visited before node12\nnode 22 should be visited before node9\nnode 22 should be visited before node4\nnode 22 should be visited before node18\nnode 22 should be visited before node5\nnode 22 should be visited before node2\nnode 22 should be visited before node1\nnode 23 should be visited before node25\nnode 23 should be visited before node20\nnode 23 should be visited before node22\nnode 23 should be visited before node24\nnode 23 should be visited before node21\nnode 23 should be visited before node0\nnode 23 should be visited before node10\nnode 23 should be visited before node12\nnode 23 should be visited before node9\nnode 23 should be visited before node4\nnode 23 should be visited before node5\nnode 23 should be visited before node3\nnode 23 should be visited before node2\nnode 23 should be visited before node1\nnode 24 should be visited before node21\nnode 24 should be visited before node17\nnode 24 should be visited before node11\nnode 24 should be visited before node13\nnode 24 should be visited before node7\nnode 24 should be visited before node12\nnode 24 should be visited before node19\nnode 24 should be visited before node14\nnode 24 should be visited before node3\nnode 24 should be visited before node2\nnode 25 should be visited before node20\nnode 25 should be visited before node22\nnode 25 should be visited before node21\nnode 25 should be visited before node0\nnode 25 should be visited before node15\nnode 25 should be visited before node11\nnode 25 should be visited before node10\nnode 25 should be visited before node7\nnode 25 should be visited before node12\nnode 25 should be visited before node9\nnode 25 should be visited before node4\nnode 25 should be visited before node18\nnode 25 should be visited before node5\nnode 25 should be visited before node19\nnode 25 should be visited before node14\nnode 25 should be visited before node2\nnode 25 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,23,6,25,20,22,24,0,15,21,17,11,10,13,7,12,9,4,18,5,16,19,3,14,2,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph1113",
        "image": "data/topology/graph_visual/hard/graph1113.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node25\nnode 0 should be visited before node12\nnode 0 should be visited before node31\nnode 0 should be visited before node4\nnode 0 should be visited before node10\nnode 0 should be visited before node11\nnode 1 should be visited before node14\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 2 should be visited before node33\nnode 2 should be visited before node6\nnode 2 should be visited before node26\nnode 2 should be visited before node5\nnode 2 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node25\nnode 3 should be visited before node27\nnode 3 should be visited before node19\nnode 3 should be visited before node31\nnode 3 should be visited before node4\nnode 3 should be visited before node28\nnode 3 should be visited before node24\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 4 should be visited before node10\nnode 4 should be visited before node26\nnode 4 should be visited before node5\nnode 5 should be visited before node15\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 7 should be visited before node30\nnode 7 should be visited before node25\nnode 7 should be visited before node9\nnode 7 should be visited before node27\nnode 7 should be visited before node29\nnode 7 should be visited before node33\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 7 should be visited before node34\nnode 7 should be visited before node26\nnode 8 should be visited before node34\nnode 8 should be visited before node11\nnode 8 should be visited before node15\nnode 9 should be visited before node29\nnode 9 should be visited before node2\nnode 9 should be visited before node31\nnode 9 should be visited before node4\nnode 9 should be visited before node28\nnode 9 should be visited before node10\nnode 9 should be visited before node34\nnode 9 should be visited before node18\nnode 9 should be visited before node6\nnode 9 should be visited before node21\nnode 9 should be visited before node15\nnode 9 should be visited before node13\nnode 10 should be visited before node1\nnode 10 should be visited before node5\nnode 10 should be visited before node15\nnode 11 should be visited before node1\nnode 11 should be visited before node14\nnode 11 should be visited before node15\nnode 12 should be visited before node28\nnode 12 should be visited before node24\nnode 12 should be visited before node34\nnode 12 should be visited before node18\nnode 12 should be visited before node11\nnode 12 should be visited before node1\nnode 12 should be visited before node26\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node13\nnode 14 should be visited before node21\nnode 15 should be visited before node13\nnode 16 should be visited before node17\nnode 16 should be visited before node19\nnode 16 should be visited before node28\nnode 16 should be visited before node20\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node21\nnode 16 should be visited before node5\nnode 17 should be visited before node12\nnode 17 should be visited before node28\nnode 17 should be visited before node10\nnode 17 should be visited before node34\nnode 17 should be visited before node18\nnode 17 should be visited before node1\nnode 17 should be visited before node21\nnode 17 should be visited before node15\nnode 17 should be visited before node13\nnode 18 should be visited before node6\nnode 19 should be visited before node33\nnode 19 should be visited before node12\nnode 19 should be visited before node28\nnode 19 should be visited before node34\nnode 19 should be visited before node11\nnode 20 should be visited before node10\nnode 20 should be visited before node18\nnode 20 should be visited before node1\nnode 20 should be visited before node26\nnode 20 should be visited before node21\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 21 should be visited before node15\nnode 22 should be visited before node27\nnode 22 should be visited before node29\nnode 22 should be visited before node23\nnode 22 should be visited before node2\nnode 22 should be visited before node17\nnode 22 should be visited before node33\nnode 22 should be visited before node24\nnode 22 should be visited before node10\nnode 22 should be visited before node18\nnode 22 should be visited before node15\nnode 23 should be visited before node12\nnode 23 should be visited before node31\nnode 23 should be visited before node8\nnode 23 should be visited before node5\nnode 23 should be visited before node15\nnode 24 should be visited before node20\nnode 24 should be visited before node34\nnode 24 should be visited before node18\nnode 25 should be visited before node9\nnode 25 should be visited before node33\nnode 25 should be visited before node4\nnode 25 should be visited before node26\nnode 25 should be visited before node14\nnode 26 should be visited before node5\nnode 26 should be visited before node13\nnode 27 should be visited before node29\nnode 27 should be visited before node19\nnode 27 should be visited before node31\nnode 27 should be visited before node34\nnode 27 should be visited before node26\nnode 28 should be visited before node10\nnode 28 should be visited before node1\nnode 28 should be visited before node13\nnode 29 should be visited before node23\nnode 29 should be visited before node2\nnode 29 should be visited before node17\nnode 29 should be visited before node19\nnode 29 should be visited before node33\nnode 29 should be visited before node31\nnode 29 should be visited before node20\nnode 29 should be visited before node34\nnode 29 should be visited before node11\nnode 29 should be visited before node26\nnode 29 should be visited before node13\nnode 30 should be visited before node9\nnode 30 should be visited before node22\nnode 30 should be visited before node27\nnode 30 should be visited before node29\nnode 30 should be visited before node33\nnode 30 should be visited before node31\nnode 30 should be visited before node4\nnode 30 should be visited before node20\nnode 30 should be visited before node18\nnode 30 should be visited before node6\nnode 30 should be visited before node1\nnode 30 should be visited before node21\nnode 30 should be visited before node15\nnode 31 should be visited before node4\nnode 31 should be visited before node8\nnode 31 should be visited before node24\nnode 31 should be visited before node10\nnode 31 should be visited before node6\nnode 31 should be visited before node1\nnode 31 should be visited before node26\nnode 31 should be visited before node14\nnode 31 should be visited before node21\nnode 32 should be visited before node7\nnode 32 should be visited before node25\nnode 32 should be visited before node22\nnode 32 should be visited before node29\nnode 32 should be visited before node28\nnode 32 should be visited before node24\nnode 32 should be visited before node34\nnode 32 should be visited before node11\nnode 32 should be visited before node14\nnode 33 should be visited before node31\nnode 33 should be visited before node4\nnode 33 should be visited before node28\nnode 33 should be visited before node24\nnode 33 should be visited before node20\nnode 33 should be visited before node34\nnode 33 should be visited before node6\nnode 33 should be visited before node14\nnode 33 should be visited before node15\nnode 34 should be visited before node18\nnode 34 should be visited before node11\nnode 34 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,16,32,7,30,25,22,9,27,29,23,2,17,19,33,12,31,28,4,8,24,20,34,10,26,18,11,6,1,14,5,21,15,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph428",
        "image": "data/topology/graph_visual/hard/graph428.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node1\nnode 1 should be visited before node11\nnode 1 should be visited before node15\nnode 2 should be visited before node19\nnode 2 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node18\nnode 2 should be visited before node11\nnode 3 should be visited before node19\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 4 should be visited before node11\nnode 5 should be visited before node20\nnode 5 should be visited before node26\nnode 5 should be visited before node24\nnode 5 should be visited before node10\nnode 5 should be visited before node25\nnode 5 should be visited before node8\nnode 5 should be visited before node0\nnode 5 should be visited before node27\nnode 5 should be visited before node12\nnode 5 should be visited before node2\nnode 5 should be visited before node19\nnode 5 should be visited before node4\nnode 5 should be visited before node18\nnode 5 should be visited before node15\nnode 7 should be visited before node6\nnode 7 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node27\nnode 8 should be visited before node2\nnode 8 should be visited before node19\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node15\nnode 9 should be visited before node17\nnode 9 should be visited before node24\nnode 9 should be visited before node10\nnode 9 should be visited before node28\nnode 9 should be visited before node25\nnode 9 should be visited before node13\nnode 9 should be visited before node8\nnode 9 should be visited before node27\nnode 9 should be visited before node12\nnode 9 should be visited before node19\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 10 should be visited before node28\nnode 10 should be visited before node25\nnode 10 should be visited before node22\nnode 10 should be visited before node8\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node12\nnode 10 should be visited before node3\nnode 10 should be visited before node19\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node18\nnode 12 should be visited before node6\nnode 12 should be visited before node15\nnode 13 should be visited before node14\nnode 13 should be visited before node0\nnode 13 should be visited before node12\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node1\nnode 13 should be visited before node11\nnode 13 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node19\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node15\nnode 16 should be visited before node17\nnode 16 should be visited before node26\nnode 16 should be visited before node24\nnode 16 should be visited before node28\nnode 16 should be visited before node22\nnode 16 should be visited before node13\nnode 16 should be visited before node12\nnode 16 should be visited before node19\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node1\nnode 16 should be visited before node11\nnode 16 should be visited before node15\nnode 17 should be visited before node25\nnode 17 should be visited before node22\nnode 17 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node2\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 18 should be visited before node6\nnode 18 should be visited before node1\nnode 18 should be visited before node15\nnode 19 should be visited before node15\nnode 20 should be visited before node16\nnode 20 should be visited before node9\nnode 20 should be visited before node10\nnode 20 should be visited before node28\nnode 20 should be visited before node25\nnode 20 should be visited before node22\nnode 20 should be visited before node13\nnode 20 should be visited before node14\nnode 20 should be visited before node27\nnode 20 should be visited before node3\nnode 20 should be visited before node4\nnode 20 should be visited before node1\nnode 21 should be visited before node28\nnode 21 should be visited before node12\nnode 21 should be visited before node2\nnode 21 should be visited before node3\nnode 21 should be visited before node19\nnode 21 should be visited before node6\nnode 21 should be visited before node1\nnode 21 should be visited before node11\nnode 21 should be visited before node15\nnode 22 should be visited before node13\nnode 22 should be visited before node0\nnode 22 should be visited before node27\nnode 22 should be visited before node12\nnode 22 should be visited before node3\nnode 22 should be visited before node19\nnode 22 should be visited before node11\nnode 22 should be visited before node15\nnode 23 should be visited before node16\nnode 23 should be visited before node17\nnode 23 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node10\nnode 23 should be visited before node28\nnode 23 should be visited before node0\nnode 23 should be visited before node27\nnode 23 should be visited before node12\nnode 23 should be visited before node19\nnode 23 should be visited before node7\nnode 23 should be visited before node6\nnode 24 should be visited before node28\nnode 24 should be visited before node22\nnode 24 should be visited before node13\nnode 24 should be visited before node8\nnode 24 should be visited before node14\nnode 24 should be visited before node0\nnode 24 should be visited before node27\nnode 24 should be visited before node12\nnode 24 should be visited before node19\nnode 24 should be visited before node4\nnode 24 should be visited before node18\nnode 24 should be visited before node6\nnode 24 should be visited before node1\nnode 24 should be visited before node11\nnode 24 should be visited before node15\nnode 25 should be visited before node13\nnode 25 should be visited before node12\nnode 25 should be visited before node2\nnode 25 should be visited before node19\nnode 25 should be visited before node18\nnode 26 should be visited before node21\nnode 26 should be visited before node24\nnode 26 should be visited before node25\nnode 26 should be visited before node22\nnode 26 should be visited before node8\nnode 26 should be visited before node14\nnode 26 should be visited before node27\nnode 26 should be visited before node4\nnode 26 should be visited before node7\nnode 26 should be visited before node1\nnode 26 should be visited before node11\nnode 27 should be visited before node12\nnode 27 should be visited before node3\nnode 27 should be visited before node19\nnode 27 should be visited before node4\nnode 27 should be visited before node11\nnode 28 should be visited before node22\nnode 28 should be visited before node0\nnode 28 should be visited before node4\nnode 28 should be visited before node7\nnode 28 should be visited before node1\nnode 28 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,23,20,16,9,26,17,10,21,24,25,28,8,22,13,27,14,12,3,0,2,19,4,18,7,6,1,11,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph750",
        "image": "data/topology/graph_visual/hard/graph750.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node21\nnode 0 should be visited before node27\nnode 0 should be visited before node8\nnode 0 should be visited before node16\nnode 0 should be visited before node26\nnode 0 should be visited before node10\nnode 0 should be visited before node17\nnode 0 should be visited before node18\nnode 1 should be visited before node14\nnode 1 should be visited before node5\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node27\nnode 1 should be visited before node8\nnode 1 should be visited before node10\nnode 2 should be visited before node28\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node21\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node17\nnode 3 should be visited before node18\nnode 5 should be visited before node15\nnode 5 should be visited before node25\nnode 5 should be visited before node29\nnode 5 should be visited before node3\nnode 5 should be visited before node8\nnode 5 should be visited before node26\nnode 6 should be visited before node21\nnode 6 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node20\nnode 7 should be visited before node28\nnode 7 should be visited before node9\nnode 7 should be visited before node0\nnode 7 should be visited before node27\nnode 7 should be visited before node29\nnode 7 should be visited before node18\nnode 9 should be visited before node12\nnode 9 should be visited before node14\nnode 9 should be visited before node6\nnode 9 should be visited before node29\nnode 9 should be visited before node31\nnode 10 should be visited before node17\nnode 11 should be visited before node17\nnode 11 should be visited before node18\nnode 12 should be visited before node24\nnode 12 should be visited before node23\nnode 12 should be visited before node6\nnode 12 should be visited before node21\nnode 12 should be visited before node27\nnode 12 should be visited before node3\nnode 12 should be visited before node26\nnode 12 should be visited before node11\nnode 12 should be visited before node31\nnode 12 should be visited before node18\nnode 13 should be visited before node15\nnode 13 should be visited before node0\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 14 should be visited before node19\nnode 14 should be visited before node23\nnode 14 should be visited before node21\nnode 14 should be visited before node29\nnode 14 should be visited before node3\nnode 14 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node17\nnode 14 should be visited before node18\nnode 15 should be visited before node0\nnode 15 should be visited before node29\nnode 15 should be visited before node3\nnode 15 should be visited before node26\nnode 15 should be visited before node31\nnode 15 should be visited before node10\nnode 15 should be visited before node17\nnode 16 should be visited before node31\nnode 16 should be visited before node4\nnode 16 should be visited before node17\nnode 19 should be visited before node23\nnode 19 should be visited before node5\nnode 19 should be visited before node0\nnode 19 should be visited before node21\nnode 19 should be visited before node31\nnode 19 should be visited before node18\nnode 20 should be visited before node28\nnode 20 should be visited before node12\nnode 20 should be visited before node13\nnode 20 should be visited before node21\nnode 20 should be visited before node8\nnode 20 should be visited before node10\nnode 21 should be visited before node29\nnode 21 should be visited before node8\nnode 21 should be visited before node4\nnode 22 should be visited before node9\nnode 22 should be visited before node13\nnode 22 should be visited before node23\nnode 22 should be visited before node15\nnode 22 should be visited before node25\nnode 22 should be visited before node21\nnode 22 should be visited before node3\nnode 22 should be visited before node26\nnode 22 should be visited before node31\nnode 22 should be visited before node10\nnode 22 should be visited before node17\nnode 22 should be visited before node18\nnode 23 should be visited before node5\nnode 23 should be visited before node15\nnode 23 should be visited before node0\nnode 23 should be visited before node25\nnode 23 should be visited before node27\nnode 23 should be visited before node26\nnode 23 should be visited before node10\nnode 23 should be visited before node18\nnode 24 should be visited before node14\nnode 24 should be visited before node19\nnode 24 should be visited before node15\nnode 24 should be visited before node21\nnode 24 should be visited before node3\nnode 24 should be visited before node4\nnode 24 should be visited before node17\nnode 25 should be visited before node31\nnode 25 should be visited before node17\nnode 26 should be visited before node31\nnode 27 should be visited before node29\nnode 27 should be visited before node31\nnode 27 should be visited before node10\nnode 28 should be visited before node1\nnode 28 should be visited before node12\nnode 28 should be visited before node24\nnode 28 should be visited before node21\nnode 28 should be visited before node29\nnode 28 should be visited before node16\nnode 28 should be visited before node26\nnode 28 should be visited before node11\nnode 28 should be visited before node4\nnode 29 should be visited before node26\nnode 29 should be visited before node17\nnode 30 should be visited before node19\nnode 30 should be visited before node5\nnode 30 should be visited before node10\nnode 30 should be visited before node18\nnode 31 should be visited before node4\nnode 31 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,22,30,2,20,9,28,13,1,12,24,6,14,19,11,23,5,15,25,0,3,21,27,16,8,29,10,26,17,31,4,18."
            }
        ]
    },
    {
        "id": "topology-hard-graph118",
        "image": "data/topology/graph_visual/hard/graph118.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node14\nnode 1 should be visited before node6\nnode 1 should be visited before node11\nnode 1 should be visited before node0\nnode 2 should be visited before node8\nnode 2 should be visited before node20\nnode 2 should be visited before node9\nnode 2 should be visited before node23\nnode 2 should be visited before node15\nnode 2 should be visited before node25\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 3 should be visited before node8\nnode 3 should be visited before node23\nnode 3 should be visited before node13\nnode 3 should be visited before node11\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 4 should be visited before node18\nnode 4 should be visited before node0\nnode 5 should be visited before node2\nnode 5 should be visited before node7\nnode 5 should be visited before node8\nnode 5 should be visited before node20\nnode 5 should be visited before node23\nnode 5 should be visited before node15\nnode 5 should be visited before node1\nnode 5 should be visited before node13\nnode 5 should be visited before node11\nnode 5 should be visited before node4\nnode 5 should be visited before node18\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node9\nnode 7 should be visited before node15\nnode 7 should be visited before node25\nnode 7 should be visited before node1\nnode 7 should be visited before node18\nnode 8 should be visited before node20\nnode 8 should be visited before node9\nnode 8 should be visited before node23\nnode 8 should be visited before node15\nnode 8 should be visited before node25\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node18\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node0\nnode 10 should be visited before node22\nnode 10 should be visited before node7\nnode 10 should be visited before node3\nnode 10 should be visited before node20\nnode 10 should be visited before node1\nnode 10 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node24\nnode 12 should be visited before node2\nnode 12 should be visited before node7\nnode 12 should be visited before node3\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node25\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 12 should be visited before node18\nnode 12 should be visited before node0\nnode 13 should be visited before node11\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 13 should be visited before node14\nnode 15 should be visited before node25\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 15 should be visited before node4\nnode 15 should be visited before node18\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 16 should be visited before node20\nnode 16 should be visited before node9\nnode 16 should be visited before node23\nnode 16 should be visited before node15\nnode 16 should be visited before node25\nnode 16 should be visited before node6\nnode 16 should be visited before node11\nnode 16 should be visited before node4\nnode 17 should be visited before node12\nnode 17 should be visited before node24\nnode 17 should be visited before node19\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node15\nnode 17 should be visited before node25\nnode 17 should be visited before node6\nnode 17 should be visited before node13\nnode 17 should be visited before node0\nnode 19 should be visited before node22\nnode 19 should be visited before node5\nnode 19 should be visited before node3\nnode 19 should be visited before node8\nnode 19 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node13\nnode 19 should be visited before node0\nnode 20 should be visited before node23\nnode 20 should be visited before node15\nnode 20 should be visited before node25\nnode 20 should be visited before node1\nnode 20 should be visited before node13\nnode 21 should be visited before node19\nnode 21 should be visited before node10\nnode 21 should be visited before node22\nnode 21 should be visited before node5\nnode 21 should be visited before node2\nnode 21 should be visited before node7\nnode 21 should be visited before node16\nnode 21 should be visited before node8\nnode 21 should be visited before node20\nnode 21 should be visited before node9\nnode 21 should be visited before node23\nnode 21 should be visited before node25\nnode 21 should be visited before node1\nnode 21 should be visited before node13\nnode 21 should be visited before node11\nnode 22 should be visited before node8\nnode 22 should be visited before node15\nnode 22 should be visited before node25\nnode 22 should be visited before node6\nnode 22 should be visited before node4\nnode 23 should be visited before node25\nnode 23 should be visited before node6\nnode 23 should be visited before node13\nnode 23 should be visited before node11\nnode 23 should be visited before node0\nnode 23 should be visited before node14\nnode 24 should be visited before node19\nnode 24 should be visited before node10\nnode 24 should be visited before node3\nnode 24 should be visited before node16\nnode 24 should be visited before node8\nnode 24 should be visited before node23\nnode 24 should be visited before node15\nnode 24 should be visited before node25\nnode 24 should be visited before node6\nnode 24 should be visited before node0\nnode 25 should be visited before node13\nnode 25 should be visited before node11\nnode 25 should be visited before node4\nnode 25 should be visited before node18\nnode 25 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,12,21,24,19,10,5,22,2,7,3,16,8,20,9,23,15,25,1,13,6,11,4,18,0,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph973",
        "image": "data/topology/graph_visual/hard/graph973.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node11\nnode 0 should be visited before node18\nnode 0 should be visited before node7\nnode 0 should be visited before node20\nnode 1 should be visited before node6\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node24\nnode 2 should be visited before node3\nnode 2 should be visited before node18\nnode 2 should be visited before node28\nnode 2 should be visited before node17\nnode 2 should be visited before node20\nnode 4 should be visited before node28\nnode 4 should be visited before node7\nnode 6 should be visited before node20\nnode 8 should be visited before node3\nnode 8 should be visited before node20\nnode 10 should be visited before node30\nnode 10 should be visited before node14\nnode 10 should be visited before node26\nnode 10 should be visited before node31\nnode 10 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 11 should be visited before node14\nnode 11 should be visited before node26\nnode 11 should be visited before node29\nnode 11 should be visited before node1\nnode 11 should be visited before node23\nnode 11 should be visited before node4\nnode 11 should be visited before node6\nnode 11 should be visited before node17\nnode 11 should be visited before node20\nnode 12 should be visited before node30\nnode 12 should be visited before node15\nnode 12 should be visited before node19\nnode 12 should be visited before node23\nnode 12 should be visited before node8\nnode 12 should be visited before node4\nnode 12 should be visited before node20\nnode 13 should be visited before node10\nnode 13 should be visited before node22\nnode 13 should be visited before node0\nnode 13 should be visited before node30\nnode 13 should be visited before node33\nnode 13 should be visited before node19\nnode 13 should be visited before node26\nnode 13 should be visited before node27\nnode 13 should be visited before node23\nnode 13 should be visited before node16\nnode 13 should be visited before node4\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 14 should be visited before node26\nnode 14 should be visited before node27\nnode 14 should be visited before node29\nnode 14 should be visited before node24\nnode 14 should be visited before node3\nnode 14 should be visited before node17\nnode 14 should be visited before node20\nnode 15 should be visited before node19\nnode 15 should be visited before node11\nnode 15 should be visited before node27\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node9\nnode 16 should be visited before node4\nnode 16 should be visited before node6\nnode 16 should be visited before node20\nnode 18 should be visited before node20\nnode 18 should be visited before node5\nnode 19 should be visited before node14\nnode 19 should be visited before node26\nnode 19 should be visited before node1\nnode 19 should be visited before node23\nnode 19 should be visited before node16\nnode 19 should be visited before node2\nnode 19 should be visited before node4\nnode 19 should be visited before node24\nnode 19 should be visited before node18\nnode 19 should be visited before node28\nnode 19 should be visited before node6\nnode 19 should be visited before node9\nnode 20 should be visited before node5\nnode 21 should be visited before node26\nnode 21 should be visited before node27\nnode 21 should be visited before node23\nnode 21 should be visited before node8\nnode 21 should be visited before node7\nnode 22 should be visited before node0\nnode 22 should be visited before node12\nnode 22 should be visited before node15\nnode 22 should be visited before node11\nnode 22 should be visited before node27\nnode 22 should be visited before node16\nnode 22 should be visited before node31\nnode 22 should be visited before node8\nnode 22 should be visited before node4\nnode 22 should be visited before node18\nnode 22 should be visited before node28\nnode 22 should be visited before node6\nnode 22 should be visited before node20\nnode 23 should be visited before node8\nnode 23 should be visited before node28\nnode 23 should be visited before node7\nnode 24 should be visited before node18\nnode 24 should be visited before node28\nnode 25 should be visited before node13\nnode 25 should be visited before node10\nnode 25 should be visited before node12\nnode 25 should be visited before node30\nnode 25 should be visited before node29\nnode 25 should be visited before node23\nnode 25 should be visited before node24\nnode 25 should be visited before node18\nnode 25 should be visited before node6\nnode 25 should be visited before node17\nnode 25 should be visited before node9\nnode 26 should be visited before node1\nnode 26 should be visited before node31\nnode 26 should be visited before node24\nnode 26 should be visited before node6\nnode 26 should be visited before node7\nnode 26 should be visited before node5\nnode 27 should be visited before node1\nnode 27 should be visited before node16\nnode 27 should be visited before node2\nnode 27 should be visited before node24\nnode 27 should be visited before node28\nnode 27 should be visited before node9\nnode 28 should be visited before node20\nnode 29 should be visited before node1\nnode 29 should be visited before node20\nnode 29 should be visited before node5\nnode 30 should be visited before node19\nnode 30 should be visited before node27\nnode 30 should be visited before node29\nnode 30 should be visited before node31\nnode 30 should be visited before node2\nnode 30 should be visited before node24\nnode 30 should be visited before node3\nnode 30 should be visited before node18\nnode 30 should be visited before node28\nnode 30 should be visited before node7\nnode 30 should be visited before node20\nnode 31 should be visited before node4\nnode 31 should be visited before node24\nnode 31 should be visited before node18\nnode 31 should be visited before node6\nnode 32 should be visited before node10\nnode 32 should be visited before node22\nnode 32 should be visited before node12\nnode 32 should be visited before node11\nnode 32 should be visited before node27\nnode 32 should be visited before node3\nnode 32 should be visited before node18\nnode 32 should be visited before node6\nnode 32 should be visited before node7\nnode 32 should be visited before node5\nnode 33 should be visited before node14\nnode 33 should be visited before node26\nnode 33 should be visited before node27\nnode 33 should be visited before node23\nnode 33 should be visited before node31\nnode 33 should be visited before node3\nnode 33 should be visited before node28\nnode 33 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,25,32,13,10,22,33,0,12,30,15,19,11,14,23,26,27,29,8,31,16,2,9,1,4,24,3,17,6,7,18,28,20,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph769",
        "image": "data/topology/graph_visual/hard/graph769.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node18\nnode 0 should be visited before node25\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 1 should be visited before node15\nnode 2 should be visited before node18\nnode 2 should be visited before node23\nnode 2 should be visited before node15\nnode 2 should be visited before node27\nnode 2 should be visited before node13\nnode 3 should be visited before node20\nnode 3 should be visited before node9\nnode 3 should be visited before node17\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 4 should be visited before node18\nnode 4 should be visited before node25\nnode 4 should be visited before node17\nnode 5 should be visited before node7\nnode 5 should be visited before node14\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node0\nnode 5 should be visited before node1\nnode 6 should be visited before node4\nnode 6 should be visited before node12\nnode 6 should be visited before node2\nnode 6 should be visited before node23\nnode 6 should be visited before node27\nnode 7 should be visited before node14\nnode 7 should be visited before node6\nnode 7 should be visited before node12\nnode 7 should be visited before node2\nnode 7 should be visited before node18\nnode 7 should be visited before node25\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node23\nnode 8 should be visited before node13\nnode 10 should be visited before node21\nnode 10 should be visited before node30\nnode 10 should be visited before node26\nnode 10 should be visited before node14\nnode 10 should be visited before node28\nnode 10 should be visited before node18\nnode 10 should be visited before node3\nnode 10 should be visited before node9\nnode 10 should be visited before node25\nnode 10 should be visited before node17\nnode 11 should be visited before node12\nnode 11 should be visited before node23\nnode 11 should be visited before node15\nnode 11 should be visited before node3\nnode 11 should be visited before node27\nnode 11 should be visited before node20\nnode 11 should be visited before node9\nnode 11 should be visited before node17\nnode 12 should be visited before node1\nnode 14 should be visited before node22\nnode 14 should be visited before node6\nnode 14 should be visited before node27\nnode 15 should be visited before node27\nnode 15 should be visited before node9\nnode 16 should be visited before node11\nnode 16 should be visited before node0\nnode 16 should be visited before node23\nnode 16 should be visited before node9\nnode 16 should be visited before node25\nnode 16 should be visited before node17\nnode 18 should be visited before node15\nnode 18 should be visited before node3\nnode 18 should be visited before node20\nnode 18 should be visited before node9\nnode 18 should be visited before node13\nnode 19 should be visited before node11\nnode 19 should be visited before node4\nnode 19 should be visited before node0\nnode 19 should be visited before node1\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node25\nnode 20 should be visited before node13\nnode 20 should be visited before node17\nnode 21 should be visited before node16\nnode 21 should be visited before node8\nnode 21 should be visited before node22\nnode 21 should be visited before node11\nnode 21 should be visited before node2\nnode 21 should be visited before node1\nnode 21 should be visited before node3\nnode 21 should be visited before node27\nnode 21 should be visited before node13\nnode 21 should be visited before node17\nnode 22 should be visited before node28\nnode 22 should be visited before node4\nnode 22 should be visited before node0\nnode 22 should be visited before node15\nnode 22 should be visited before node3\nnode 22 should be visited before node25\nnode 22 should be visited before node17\nnode 23 should be visited before node3\nnode 23 should be visited before node25\nnode 23 should be visited before node13\nnode 23 should be visited before node17\nnode 24 should be visited before node0\nnode 24 should be visited before node18\nnode 24 should be visited before node23\nnode 24 should be visited before node20\nnode 24 should be visited before node9\nnode 24 should be visited before node17\nnode 25 should be visited before node17\nnode 26 should be visited before node5\nnode 26 should be visited before node24\nnode 26 should be visited before node14\nnode 26 should be visited before node4\nnode 26 should be visited before node12\nnode 26 should be visited before node18\nnode 26 should be visited before node23\nnode 26 should be visited before node17\nnode 27 should be visited before node25\nnode 27 should be visited before node17\nnode 28 should be visited before node18\nnode 28 should be visited before node23\nnode 28 should be visited before node15\nnode 28 should be visited before node3\nnode 28 should be visited before node20\nnode 28 should be visited before node13\nnode 29 should be visited before node16\nnode 29 should be visited before node26\nnode 29 should be visited before node7\nnode 29 should be visited before node14\nnode 29 should be visited before node22\nnode 29 should be visited before node3\nnode 30 should be visited before node26\nnode 30 should be visited before node7\nnode 30 should be visited before node28\nnode 30 should be visited before node11\nnode 30 should be visited before node0\nnode 30 should be visited before node1\nnode 30 should be visited before node18\nnode 30 should be visited before node3\nnode 30 should be visited before node9\nnode 30 should be visited before node17\nnode 31 should be visited before node10\nnode 31 should be visited before node30\nnode 31 should be visited before node16\nnode 31 should be visited before node24\nnode 31 should be visited before node14\nnode 31 should be visited before node23\nnode 31 should be visited before node3\nnode 31 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,29,31,10,21,30,16,8,26,11,5,24,7,14,22,6,28,4,12,2,0,1,23,18,15,3,27,20,9,25,13,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph1169",
        "image": "data/topology/graph_visual/hard/graph1169.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node27\nnode 0 should be visited before node17\nnode 0 should be visited before node28\nnode 0 should be visited before node4\nnode 0 should be visited before node13\nnode 0 should be visited before node22\nnode 0 should be visited before node6\nnode 0 should be visited before node29\nnode 0 should be visited before node1\nnode 0 should be visited before node3\nnode 0 should be visited before node8\nnode 0 should be visited before node9\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 1 should be visited before node8\nnode 1 should be visited before node9\nnode 1 should be visited before node31\nnode 1 should be visited before node5\nnode 1 should be visited before node11\nnode 2 should be visited before node17\nnode 2 should be visited before node28\nnode 2 should be visited before node10\nnode 2 should be visited before node19\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node31\nnode 3 should be visited before node8\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 4 should be visited before node21\nnode 4 should be visited before node20\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node22\nnode 4 should be visited before node12\nnode 4 should be visited before node6\nnode 4 should be visited before node29\nnode 4 should be visited before node3\nnode 4 should be visited before node8\nnode 4 should be visited before node31\nnode 5 should be visited before node24\nnode 5 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node14\nnode 6 should be visited before node31\nnode 6 should be visited before node5\nnode 6 should be visited before node24\nnode 6 should be visited before node11\nnode 7 should be visited before node13\nnode 7 should be visited before node22\nnode 7 should be visited before node9\nnode 7 should be visited before node14\nnode 7 should be visited before node31\nnode 7 should be visited before node5\nnode 7 should be visited before node11\nnode 8 should be visited before node9\nnode 9 should be visited before node14\nnode 9 should be visited before node31\nnode 9 should be visited before node24\nnode 9 should be visited before node11\nnode 10 should be visited before node33\nnode 10 should be visited before node20\nnode 10 should be visited before node7\nnode 10 should be visited before node19\nnode 10 should be visited before node22\nnode 10 should be visited before node12\nnode 10 should be visited before node1\nnode 10 should be visited before node25\nnode 10 should be visited before node14\nnode 10 should be visited before node31\nnode 10 should be visited before node5\nnode 10 should be visited before node24\nnode 12 should be visited before node6\nnode 12 should be visited before node25\nnode 12 should be visited before node9\nnode 12 should be visited before node5\nnode 12 should be visited before node24\nnode 13 should be visited before node19\nnode 13 should be visited before node6\nnode 13 should be visited before node29\nnode 13 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node14\nnode 13 should be visited before node5\nnode 13 should be visited before node11\nnode 14 should be visited before node31\nnode 14 should be visited before node5\nnode 15 should be visited before node2\nnode 15 should be visited before node17\nnode 15 should be visited before node32\nnode 15 should be visited before node4\nnode 15 should be visited before node33\nnode 15 should be visited before node26\nnode 15 should be visited before node20\nnode 15 should be visited before node7\nnode 15 should be visited before node19\nnode 15 should be visited before node1\nnode 15 should be visited before node25\nnode 15 should be visited before node5\nnode 15 should be visited before node11\nnode 16 should be visited before node30\nnode 16 should be visited before node18\nnode 16 should be visited before node27\nnode 16 should be visited before node15\nnode 16 should be visited before node2\nnode 16 should be visited before node32\nnode 16 should be visited before node4\nnode 16 should be visited before node21\nnode 16 should be visited before node10\nnode 16 should be visited before node33\nnode 16 should be visited before node7\nnode 16 should be visited before node13\nnode 16 should be visited before node12\nnode 16 should be visited before node29\nnode 16 should be visited before node1\nnode 16 should be visited before node3\nnode 16 should be visited before node8\nnode 16 should be visited before node31\nnode 16 should be visited before node5\nnode 16 should be visited before node11\nnode 17 should be visited before node21\nnode 17 should be visited before node10\nnode 17 should be visited before node26\nnode 17 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node6\nnode 17 should be visited before node29\nnode 17 should be visited before node25\nnode 17 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node31\nnode 17 should be visited before node5\nnode 17 should be visited before node24\nnode 18 should be visited before node4\nnode 18 should be visited before node21\nnode 18 should be visited before node10\nnode 18 should be visited before node26\nnode 18 should be visited before node20\nnode 18 should be visited before node7\nnode 18 should be visited before node22\nnode 18 should be visited before node6\nnode 18 should be visited before node3\nnode 18 should be visited before node25\nnode 18 should be visited before node9\nnode 18 should be visited before node31\nnode 18 should be visited before node5\nnode 19 should be visited before node22\nnode 19 should be visited before node24\nnode 20 should be visited before node13\nnode 20 should be visited before node12\nnode 20 should be visited before node14\nnode 20 should be visited before node31\nnode 20 should be visited before node5\nnode 20 should be visited before node24\nnode 20 should be visited before node11\nnode 21 should be visited before node10\nnode 21 should be visited before node33\nnode 21 should be visited before node26\nnode 21 should be visited before node13\nnode 21 should be visited before node19\nnode 21 should be visited before node22\nnode 21 should be visited before node6\nnode 21 should be visited before node29\nnode 21 should be visited before node1\nnode 21 should be visited before node25\nnode 21 should be visited before node9\nnode 21 should be visited before node14\nnode 21 should be visited before node5\nnode 21 should be visited before node11\nnode 22 should be visited before node6\nnode 22 should be visited before node29\nnode 22 should be visited before node25\nnode 22 should be visited before node8\nnode 22 should be visited before node14\nnode 22 should be visited before node31\nnode 23 should be visited before node30\nnode 23 should be visited before node34\nnode 23 should be visited before node27\nnode 23 should be visited before node15\nnode 23 should be visited before node2\nnode 23 should be visited before node32\nnode 23 should be visited before node28\nnode 23 should be visited before node10\nnode 23 should be visited before node33\nnode 23 should be visited before node20\nnode 23 should be visited before node7\nnode 23 should be visited before node19\nnode 23 should be visited before node12\nnode 23 should be visited before node29\nnode 23 should be visited before node1\nnode 23 should be visited before node3\nnode 23 should be visited before node8\nnode 23 should be visited before node14\nnode 23 should be visited before node5\nnode 23 should be visited before node24\nnode 23 should be visited before node11\nnode 24 should be visited before node11\nnode 25 should be visited before node8\nnode 25 should be visited before node14\nnode 25 should be visited before node31\nnode 26 should be visited before node20\nnode 26 should be visited before node22\nnode 26 should be visited before node12\nnode 26 should be visited before node3\nnode 26 should be visited before node8\nnode 26 should be visited before node14\nnode 26 should be visited before node31\nnode 26 should be visited before node5\nnode 26 should be visited before node24\nnode 26 should be visited before node11\nnode 27 should be visited before node2\nnode 27 should be visited before node21\nnode 27 should be visited before node10\nnode 27 should be visited before node33\nnode 27 should be visited before node26\nnode 27 should be visited before node20\nnode 27 should be visited before node7\nnode 27 should be visited before node12\nnode 27 should be visited before node6\nnode 27 should be visited before node3\nnode 27 should be visited before node9\nnode 27 should be visited before node11\nnode 28 should be visited before node21\nnode 28 should be visited before node10\nnode 28 should be visited before node33\nnode 28 should be visited before node20\nnode 28 should be visited before node7\nnode 28 should be visited before node19\nnode 28 should be visited before node22\nnode 28 should be visited before node12\nnode 28 should be visited before node6\nnode 28 should be visited before node29\nnode 28 should be visited before node25\nnode 28 should be visited before node5\nnode 29 should be visited before node3\nnode 29 should be visited before node25\nnode 29 should be visited before node8\nnode 29 should be visited before node9\nnode 29 should be visited before node14\nnode 29 should be visited before node31\nnode 30 should be visited before node34\nnode 30 should be visited before node18\nnode 30 should be visited before node15\nnode 30 should be visited before node2\nnode 30 should be visited before node32\nnode 30 should be visited before node28\nnode 30 should be visited before node4\nnode 30 should be visited before node10\nnode 30 should be visited before node13\nnode 30 should be visited before node19\nnode 30 should be visited before node22\nnode 30 should be visited before node12\nnode 30 should be visited before node1\nnode 30 should be visited before node3\nnode 30 should be visited before node8\nnode 30 should be visited before node9\nnode 30 should be visited before node14\nnode 30 should be visited before node5\nnode 30 should be visited before node11\nnode 31 should be visited before node5\nnode 31 should be visited before node24\nnode 31 should be visited before node11\nnode 32 should be visited before node28\nnode 32 should be visited before node4\nnode 32 should be visited before node21\nnode 32 should be visited before node10\nnode 32 should be visited before node33\nnode 32 should be visited before node20\nnode 32 should be visited before node13\nnode 32 should be visited before node22\nnode 32 should be visited before node12\nnode 32 should be visited before node6\nnode 32 should be visited before node29\nnode 32 should be visited before node14\nnode 32 should be visited before node31\nnode 32 should be visited before node24\nnode 33 should be visited before node26\nnode 33 should be visited before node22\nnode 33 should be visited before node6\nnode 33 should be visited before node31\nnode 34 should be visited before node18\nnode 34 should be visited before node15\nnode 34 should be visited before node2\nnode 34 should be visited before node17\nnode 34 should be visited before node32\nnode 34 should be visited before node4\nnode 34 should be visited before node21\nnode 34 should be visited before node33\nnode 34 should be visited before node26\nnode 34 should be visited before node20\nnode 34 should be visited before node13\nnode 34 should be visited before node19\nnode 34 should be visited before node22\nnode 34 should be visited before node12\nnode 34 should be visited before node6\nnode 34 should be visited before node29\nnode 34 should be visited before node1\nnode 34 should be visited before node25\nnode 34 should be visited before node8\nnode 34 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,16,23,30,27,34,18,15,2,32,17,28,4,21,10,33,7,26,20,13,12,19,22,6,29,1,3,25,8,9,14,31,5,24,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph65",
        "image": "data/topology/graph_visual/hard/graph65.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node22\nnode 0 should be visited before node7\nnode 0 should be visited before node24\nnode 1 should be visited before node9\nnode 1 should be visited before node15\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node23\nnode 1 should be visited before node13\nnode 1 should be visited before node21\nnode 1 should be visited before node4\nnode 1 should be visited before node10\nnode 1 should be visited before node25\nnode 1 should be visited before node22\nnode 1 should be visited before node7\nnode 1 should be visited before node24\nnode 2 should be visited before node0\nnode 2 should be visited before node20\nnode 2 should be visited before node17\nnode 3 should be visited before node5\nnode 3 should be visited before node19\nnode 3 should be visited before node23\nnode 3 should be visited before node13\nnode 3 should be visited before node25\nnode 3 should be visited before node14\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node22\nnode 3 should be visited before node20\nnode 3 should be visited before node24\nnode 3 should be visited before node17\nnode 4 should be visited before node25\nnode 4 should be visited before node14\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node24\nnode 4 should be visited before node17\nnode 5 should be visited before node19\nnode 5 should be visited before node23\nnode 5 should be visited before node21\nnode 5 should be visited before node10\nnode 5 should be visited before node25\nnode 5 should be visited before node14\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 5 should be visited before node20\nnode 5 should be visited before node24\nnode 6 should be visited before node9\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node18\nnode 6 should be visited before node8\nnode 6 should be visited before node19\nnode 6 should be visited before node11\nnode 6 should be visited before node14\nnode 6 should be visited before node0\nnode 6 should be visited before node20\nnode 6 should be visited before node17\nnode 7 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node23\nnode 8 should be visited before node21\nnode 8 should be visited before node4\nnode 8 should be visited before node25\nnode 8 should be visited before node14\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 8 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node18\nnode 9 should be visited before node8\nnode 9 should be visited before node19\nnode 9 should be visited before node13\nnode 9 should be visited before node21\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node22\nnode 9 should be visited before node20\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node7\nnode 10 should be visited before node20\nnode 11 should be visited before node13\nnode 11 should be visited before node21\nnode 11 should be visited before node10\nnode 11 should be visited before node22\nnode 11 should be visited before node24\nnode 11 should be visited before node17\nnode 12 should be visited before node6\nnode 12 should be visited before node9\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node19\nnode 12 should be visited before node23\nnode 12 should be visited before node25\nnode 12 should be visited before node14\nnode 12 should be visited before node2\nnode 12 should be visited before node22\nnode 12 should be visited before node20\nnode 13 should be visited before node21\nnode 13 should be visited before node10\nnode 13 should be visited before node14\nnode 13 should be visited before node22\nnode 13 should be visited before node20\nnode 13 should be visited before node24\nnode 14 should be visited before node0\nnode 14 should be visited before node22\nnode 14 should be visited before node7\nnode 14 should be visited before node24\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 15 should be visited before node4\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node22\nnode 15 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node6\nnode 16 should be visited before node3\nnode 16 should be visited before node18\nnode 16 should be visited before node11\nnode 16 should be visited before node13\nnode 16 should be visited before node21\nnode 16 should be visited before node25\nnode 16 should be visited before node14\nnode 16 should be visited before node0\nnode 16 should be visited before node7\nnode 16 should be visited before node20\nnode 18 should be visited before node8\nnode 18 should be visited before node19\nnode 18 should be visited before node23\nnode 18 should be visited before node11\nnode 18 should be visited before node21\nnode 18 should be visited before node4\nnode 18 should be visited before node2\nnode 18 should be visited before node22\nnode 18 should be visited before node24\nnode 18 should be visited before node17\nnode 19 should be visited before node23\nnode 19 should be visited before node11\nnode 19 should be visited before node21\nnode 19 should be visited before node4\nnode 19 should be visited before node10\nnode 19 should be visited before node25\nnode 19 should be visited before node14\nnode 19 should be visited before node2\nnode 19 should be visited before node22\nnode 19 should be visited before node7\nnode 19 should be visited before node20\nnode 20 should be visited before node17\nnode 21 should be visited before node4\nnode 21 should be visited before node25\nnode 21 should be visited before node0\nnode 21 should be visited before node22\nnode 21 should be visited before node7\nnode 21 should be visited before node24\nnode 22 should be visited before node20\nnode 23 should be visited before node21\nnode 23 should be visited before node4\nnode 23 should be visited before node10\nnode 23 should be visited before node14\nnode 23 should be visited before node0\nnode 23 should be visited before node7\nnode 23 should be visited before node20\nnode 23 should be visited before node17\nnode 24 should be visited before node17\nnode 25 should be visited before node14\nnode 25 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,16,1,6,9,15,18,3,8,5,19,23,11,13,21,10,4,25,2,14,0,22,7,24,20,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph494",
        "image": "data/topology/graph_visual/hard/graph494.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node28\nnode 0 should be visited before node3\nnode 0 should be visited before node9\nnode 0 should be visited before node14\nnode 0 should be visited before node4\nnode 0 should be visited before node23\nnode 0 should be visited before node11\nnode 0 should be visited before node19\nnode 1 should be visited before node21\nnode 1 should be visited before node0\nnode 1 should be visited before node26\nnode 1 should be visited before node7\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node19\nnode 2 should be visited before node12\nnode 2 should be visited before node22\nnode 2 should be visited before node29\nnode 2 should be visited before node9\nnode 2 should be visited before node17\nnode 2 should be visited before node4\nnode 2 should be visited before node23\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node19\nnode 3 should be visited before node26\nnode 3 should be visited before node17\nnode 3 should be visited before node24\nnode 3 should be visited before node4\nnode 3 should be visited before node23\nnode 3 should be visited before node11\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node8\nnode 6 should be visited before node8\nnode 6 should be visited before node19\nnode 7 should be visited before node8\nnode 9 should be visited before node15\nnode 9 should be visited before node24\nnode 10 should be visited before node6\nnode 11 should be visited before node10\nnode 12 should be visited before node25\nnode 12 should be visited before node21\nnode 12 should be visited before node16\nnode 12 should be visited before node27\nnode 12 should be visited before node0\nnode 12 should be visited before node28\nnode 12 should be visited before node9\nnode 12 should be visited before node17\nnode 12 should be visited before node19\nnode 13 should be visited before node1\nnode 13 should be visited before node18\nnode 13 should be visited before node21\nnode 13 should be visited before node16\nnode 13 should be visited before node24\nnode 13 should be visited before node14\nnode 13 should be visited before node23\nnode 13 should be visited before node10\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 14 should be visited before node19\nnode 15 should be visited before node26\nnode 15 should be visited before node17\nnode 15 should be visited before node11\nnode 15 should be visited before node10\nnode 16 should be visited before node3\nnode 16 should be visited before node22\nnode 16 should be visited before node29\nnode 16 should be visited before node26\nnode 16 should be visited before node24\nnode 16 should be visited before node10\nnode 16 should be visited before node19\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 18 should be visited before node4\nnode 18 should be visited before node23\nnode 18 should be visited before node5\nnode 18 should be visited before node8\nnode 20 should be visited before node21\nnode 20 should be visited before node27\nnode 20 should be visited before node0\nnode 20 should be visited before node28\nnode 20 should be visited before node22\nnode 20 should be visited before node26\nnode 20 should be visited before node11\nnode 20 should be visited before node6\nnode 20 should be visited before node8\nnode 21 should be visited before node22\nnode 21 should be visited before node15\nnode 21 should be visited before node26\nnode 21 should be visited before node24\nnode 21 should be visited before node4\nnode 21 should be visited before node7\nnode 21 should be visited before node23\nnode 21 should be visited before node5\nnode 21 should be visited before node8\nnode 22 should be visited before node4\nnode 22 should be visited before node23\nnode 22 should be visited before node5\nnode 23 should be visited before node11\nnode 23 should be visited before node10\nnode 23 should be visited before node19\nnode 24 should be visited before node14\nnode 24 should be visited before node4\nnode 24 should be visited before node11\nnode 24 should be visited before node5\nnode 25 should be visited before node28\nnode 25 should be visited before node3\nnode 25 should be visited before node22\nnode 25 should be visited before node17\nnode 25 should be visited before node4\nnode 25 should be visited before node8\nnode 26 should be visited before node24\nnode 26 should be visited before node7\nnode 26 should be visited before node23\nnode 26 should be visited before node5\nnode 27 should be visited before node28\nnode 27 should be visited before node22\nnode 27 should be visited before node11\nnode 27 should be visited before node6\nnode 27 should be visited before node5\nnode 28 should be visited before node29\nnode 28 should be visited before node9\nnode 28 should be visited before node19\nnode 29 should be visited before node9\nnode 29 should be visited before node15\nnode 29 should be visited before node14\nnode 29 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,13,20,12,1,18,25,16,27,21,0,22,28,3,29,9,15,26,17,24,23,14,4,5,11,7,10,6,8,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph356",
        "image": "data/topology/graph_visual/hard/graph356.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node19\nnode 1 should be visited before node18\nnode 1 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node12\nnode 1 should be visited before node23\nnode 1 should be visited before node3\nnode 1 should be visited before node21\nnode 1 should be visited before node0\nnode 1 should be visited before node15\nnode 1 should be visited before node25\nnode 1 should be visited before node17\nnode 1 should be visited before node20\nnode 1 should be visited before node19\nnode 1 should be visited before node16\nnode 2 should be visited before node9\nnode 2 should be visited before node27\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node26\nnode 2 should be visited before node0\nnode 2 should be visited before node15\nnode 2 should be visited before node20\nnode 2 should be visited before node19\nnode 2 should be visited before node16\nnode 2 should be visited before node24\nnode 3 should be visited before node26\nnode 3 should be visited before node21\nnode 3 should be visited before node15\nnode 3 should be visited before node24\nnode 4 should be visited before node9\nnode 4 should be visited before node27\nnode 4 should be visited before node14\nnode 4 should be visited before node23\nnode 4 should be visited before node5\nnode 4 should be visited before node21\nnode 4 should be visited before node0\nnode 4 should be visited before node15\nnode 4 should be visited before node20\nnode 4 should be visited before node19\nnode 4 should be visited before node16\nnode 5 should be visited before node26\nnode 5 should be visited before node0\nnode 5 should be visited before node25\nnode 5 should be visited before node20\nnode 6 should be visited before node11\nnode 6 should be visited before node18\nnode 6 should be visited before node12\nnode 6 should be visited before node27\nnode 6 should be visited before node10\nnode 6 should be visited before node3\nnode 6 should be visited before node8\nnode 6 should be visited before node5\nnode 6 should be visited before node21\nnode 6 should be visited before node0\nnode 6 should be visited before node15\nnode 6 should be visited before node17\nnode 6 should be visited before node20\nnode 6 should be visited before node19\nnode 6 should be visited before node16\nnode 6 should be visited before node24\nnode 7 should be visited before node22\nnode 7 should be visited before node11\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node23\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node17\nnode 7 should be visited before node20\nnode 7 should be visited before node19\nnode 7 should be visited before node24\nnode 8 should be visited before node5\nnode 8 should be visited before node26\nnode 8 should be visited before node21\nnode 8 should be visited before node17\nnode 8 should be visited before node19\nnode 8 should be visited before node16\nnode 9 should be visited before node10\nnode 9 should be visited before node23\nnode 9 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node15\nnode 9 should be visited before node25\nnode 9 should be visited before node17\nnode 9 should be visited before node16\nnode 10 should be visited before node14\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node26\nnode 10 should be visited before node21\nnode 10 should be visited before node0\nnode 10 should be visited before node25\nnode 10 should be visited before node17\nnode 10 should be visited before node20\nnode 10 should be visited before node19\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 11 should be visited before node18\nnode 11 should be visited before node9\nnode 11 should be visited before node12\nnode 11 should be visited before node27\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node26\nnode 11 should be visited before node21\nnode 11 should be visited before node0\nnode 11 should be visited before node17\nnode 11 should be visited before node16\nnode 12 should be visited before node23\nnode 12 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node26\nnode 12 should be visited before node17\nnode 12 should be visited before node20\nnode 12 should be visited before node19\nnode 12 should be visited before node24\nnode 13 should be visited before node18\nnode 13 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node14\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node26\nnode 13 should be visited before node21\nnode 13 should be visited before node0\nnode 13 should be visited before node15\nnode 13 should be visited before node20\nnode 13 should be visited before node24\nnode 14 should be visited before node3\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 14 should be visited before node16\nnode 15 should be visited before node20\nnode 15 should be visited before node16\nnode 15 should be visited before node24\nnode 16 should be visited before node24\nnode 17 should be visited before node19\nnode 17 should be visited before node24\nnode 18 should be visited before node4\nnode 18 should be visited before node12\nnode 18 should be visited before node10\nnode 18 should be visited before node14\nnode 18 should be visited before node3\nnode 18 should be visited before node8\nnode 18 should be visited before node21\nnode 18 should be visited before node17\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 18 should be visited before node24\nnode 19 should be visited before node16\nnode 19 should be visited before node24\nnode 20 should be visited before node19\nnode 20 should be visited before node16\nnode 20 should be visited before node24\nnode 21 should be visited before node0\nnode 21 should be visited before node15\nnode 21 should be visited before node20\nnode 21 should be visited before node19\nnode 22 should be visited before node6\nnode 22 should be visited before node2\nnode 22 should be visited before node10\nnode 22 should be visited before node8\nnode 22 should be visited before node21\nnode 22 should be visited before node15\nnode 22 should be visited before node20\nnode 22 should be visited before node19\nnode 22 should be visited before node24\nnode 23 should be visited before node8\nnode 23 should be visited before node5\nnode 23 should be visited before node15\nnode 23 should be visited before node25\nnode 23 should be visited before node16\nnode 25 should be visited before node17\nnode 25 should be visited before node20\nnode 26 should be visited before node0\nnode 26 should be visited before node15\nnode 26 should be visited before node25\nnode 26 should be visited before node24\nnode 27 should be visited before node14\nnode 27 should be visited before node23\nnode 27 should be visited before node8\nnode 27 should be visited before node0\nnode 27 should be visited before node15\nnode 27 should be visited before node19\nnode 27 should be visited before node16\nnode 27 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,7,22,6,11,2,13,18,4,12,9,27,10,23,14,8,3,5,21,26,0,15,25,17,20,19,16,24."
            }
        ]
    },
    {
        "id": "topology-hard-graph64",
        "image": "data/topology/graph_visual/hard/graph64.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 2 should be visited before node24\nnode 2 should be visited before node21\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node11\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node22\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 3 should be visited before node16\nnode 3 should be visited before node23\nnode 3 should be visited before node12\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 5 should be visited before node11\nnode 5 should be visited before node12\nnode 5 should be visited before node4\nnode 5 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node9\nnode 7 should be visited before node16\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 8 should be visited before node24\nnode 8 should be visited before node22\nnode 8 should be visited before node21\nnode 8 should be visited before node14\nnode 8 should be visited before node7\nnode 8 should be visited before node9\nnode 8 should be visited before node5\nnode 8 should be visited before node23\nnode 8 should be visited before node11\nnode 8 should be visited before node12\nnode 9 should be visited before node10\nnode 9 should be visited before node13\nnode 9 should be visited before node12\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 10 should be visited before node13\nnode 10 should be visited before node5\nnode 10 should be visited before node23\nnode 10 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 11 should be visited before node12\nnode 11 should be visited before node1\nnode 11 should be visited before node6\nnode 12 should be visited before node1\nnode 13 should be visited before node5\nnode 13 should be visited before node23\nnode 13 should be visited before node6\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node23\nnode 14 should be visited before node1\nnode 15 should be visited before node3\nnode 15 should be visited before node17\nnode 15 should be visited before node21\nnode 15 should be visited before node7\nnode 15 should be visited before node13\nnode 15 should be visited before node4\nnode 15 should be visited before node6\nnode 16 should be visited before node5\nnode 16 should be visited before node23\nnode 16 should be visited before node11\nnode 16 should be visited before node4\nnode 16 should be visited before node6\nnode 17 should be visited before node21\nnode 17 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 17 should be visited before node6\nnode 18 should be visited before node20\nnode 18 should be visited before node3\nnode 18 should be visited before node2\nnode 18 should be visited before node8\nnode 18 should be visited before node22\nnode 18 should be visited before node7\nnode 18 should be visited before node10\nnode 18 should be visited before node13\nnode 18 should be visited before node16\nnode 18 should be visited before node23\nnode 19 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node2\nnode 19 should be visited before node17\nnode 19 should be visited before node24\nnode 19 should be visited before node14\nnode 19 should be visited before node7\nnode 19 should be visited before node13\nnode 19 should be visited before node16\nnode 19 should be visited before node5\nnode 19 should be visited before node23\nnode 20 should be visited before node2\nnode 20 should be visited before node8\nnode 20 should be visited before node24\nnode 20 should be visited before node22\nnode 20 should be visited before node0\nnode 20 should be visited before node16\nnode 20 should be visited before node11\nnode 20 should be visited before node4\nnode 20 should be visited before node6\nnode 21 should be visited before node14\nnode 21 should be visited before node0\nnode 21 should be visited before node9\nnode 21 should be visited before node13\nnode 21 should be visited before node5\nnode 21 should be visited before node23\nnode 21 should be visited before node11\nnode 21 should be visited before node12\nnode 21 should be visited before node4\nnode 21 should be visited before node1\nnode 21 should be visited before node6\nnode 22 should be visited before node0\nnode 22 should be visited before node9\nnode 22 should be visited before node10\nnode 22 should be visited before node23\nnode 22 should be visited before node11\nnode 22 should be visited before node12\nnode 22 should be visited before node1\nnode 23 should be visited before node1\nnode 23 should be visited before node6\nnode 24 should be visited before node9\nnode 24 should be visited before node10\nnode 24 should be visited before node11\nnode 24 should be visited before node4\nnode 24 should be visited before node1\nnode 25 should be visited before node2\nnode 25 should be visited before node8\nnode 25 should be visited before node24\nnode 25 should be visited before node21\nnode 25 should be visited before node9\nnode 25 should be visited before node10\nnode 25 should be visited before node13\nnode 25 should be visited before node16\nnode 25 should be visited before node23\nnode 25 should be visited before node11\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 25 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,19,25,18,17,20,3,2,8,24,22,21,14,7,0,9,16,10,13,5,23,11,4,12,6,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph1140",
        "image": "data/topology/graph_visual/hard/graph1140.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node11\nnode 0 should be visited before node21\nnode 0 should be visited before node31\nnode 0 should be visited before node27\nnode 0 should be visited before node14\nnode 0 should be visited before node5\nnode 0 should be visited before node33\nnode 0 should be visited before node3\nnode 1 should be visited before node32\nnode 1 should be visited before node13\nnode 1 should be visited before node2\nnode 1 should be visited before node0\nnode 1 should be visited before node31\nnode 1 should be visited before node27\nnode 1 should be visited before node26\nnode 1 should be visited before node14\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node34\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 2 should be visited before node0\nnode 2 should be visited before node31\nnode 2 should be visited before node26\nnode 2 should be visited before node14\nnode 2 should be visited before node33\nnode 2 should be visited before node8\nnode 2 should be visited before node34\nnode 2 should be visited before node23\nnode 2 should be visited before node3\nnode 4 should be visited before node3\nnode 5 should be visited before node33\nnode 5 should be visited before node19\nnode 5 should be visited before node8\nnode 5 should be visited before node34\nnode 5 should be visited before node7\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 6 should be visited before node27\nnode 6 should be visited before node26\nnode 6 should be visited before node33\nnode 6 should be visited before node19\nnode 6 should be visited before node7\nnode 6 should be visited before node15\nnode 6 should be visited before node3\nnode 7 should be visited before node23\nnode 7 should be visited before node4\nnode 7 should be visited before node15\nnode 8 should be visited before node34\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 8 should be visited before node15\nnode 9 should be visited before node30\nnode 9 should be visited before node1\nnode 9 should be visited before node32\nnode 9 should be visited before node13\nnode 9 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node21\nnode 9 should be visited before node27\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node19\nnode 9 should be visited before node34\nnode 9 should be visited before node23\nnode 9 should be visited before node4\nnode 9 should be visited before node15\nnode 9 should be visited before node3\nnode 10 should be visited before node20\nnode 10 should be visited before node25\nnode 10 should be visited before node12\nnode 10 should be visited before node30\nnode 10 should be visited before node29\nnode 10 should be visited before node21\nnode 10 should be visited before node31\nnode 10 should be visited before node14\nnode 10 should be visited before node5\nnode 10 should be visited before node33\nnode 10 should be visited before node8\nnode 10 should be visited before node34\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node15\nnode 10 should be visited before node3\nnode 11 should be visited before node21\nnode 11 should be visited before node31\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node33\nnode 11 should be visited before node19\nnode 11 should be visited before node34\nnode 11 should be visited before node7\nnode 11 should be visited before node23\nnode 11 should be visited before node3\nnode 12 should be visited before node30\nnode 12 should be visited before node29\nnode 12 should be visited before node1\nnode 12 should be visited before node32\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node27\nnode 12 should be visited before node5\nnode 12 should be visited before node19\nnode 12 should be visited before node7\nnode 12 should be visited before node23\nnode 12 should be visited before node3\nnode 13 should be visited before node2\nnode 13 should be visited before node0\nnode 13 should be visited before node11\nnode 13 should be visited before node31\nnode 13 should be visited before node26\nnode 13 should be visited before node5\nnode 13 should be visited before node8\nnode 13 should be visited before node34\nnode 13 should be visited before node7\nnode 13 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node33\nnode 14 should be visited before node8\nnode 14 should be visited before node4\nnode 16 should be visited before node20\nnode 16 should be visited before node25\nnode 16 should be visited before node12\nnode 16 should be visited before node18\nnode 16 should be visited before node9\nnode 16 should be visited before node29\nnode 16 should be visited before node17\nnode 16 should be visited before node13\nnode 16 should be visited before node2\nnode 16 should be visited before node21\nnode 16 should be visited before node6\nnode 16 should be visited before node27\nnode 16 should be visited before node26\nnode 16 should be visited before node5\nnode 16 should be visited before node8\nnode 16 should be visited before node34\nnode 16 should be visited before node7\nnode 16 should be visited before node23\nnode 16 should be visited before node4\nnode 16 should be visited before node15\nnode 16 should be visited before node3\nnode 17 should be visited before node1\nnode 17 should be visited before node32\nnode 17 should be visited before node13\nnode 17 should be visited before node31\nnode 17 should be visited before node14\nnode 17 should be visited before node5\nnode 17 should be visited before node33\nnode 17 should be visited before node34\nnode 17 should be visited before node7\nnode 18 should be visited before node9\nnode 18 should be visited before node29\nnode 18 should be visited before node0\nnode 18 should be visited before node27\nnode 18 should be visited before node26\nnode 18 should be visited before node5\nnode 18 should be visited before node33\nnode 18 should be visited before node34\nnode 18 should be visited before node23\nnode 18 should be visited before node15\nnode 19 should be visited before node8\nnode 19 should be visited before node23\nnode 19 should be visited before node4\nnode 19 should be visited before node15\nnode 19 should be visited before node3\nnode 20 should be visited before node25\nnode 20 should be visited before node24\nnode 20 should be visited before node12\nnode 20 should be visited before node22\nnode 20 should be visited before node18\nnode 20 should be visited before node30\nnode 20 should be visited before node29\nnode 20 should be visited before node17\nnode 20 should be visited before node13\nnode 20 should be visited before node0\nnode 20 should be visited before node11\nnode 20 should be visited before node21\nnode 20 should be visited before node14\nnode 20 should be visited before node5\nnode 20 should be visited before node33\nnode 20 should be visited before node8\nnode 20 should be visited before node34\nnode 20 should be visited before node23\nnode 20 should be visited before node15\nnode 20 should be visited before node3\nnode 21 should be visited before node31\nnode 21 should be visited before node6\nnode 21 should be visited before node33\nnode 21 should be visited before node19\nnode 21 should be visited before node8\nnode 21 should be visited before node34\nnode 21 should be visited before node7\nnode 21 should be visited before node23\nnode 21 should be visited before node4\nnode 22 should be visited before node9\nnode 22 should be visited before node30\nnode 22 should be visited before node0\nnode 22 should be visited before node11\nnode 22 should be visited before node21\nnode 22 should be visited before node31\nnode 22 should be visited before node6\nnode 22 should be visited before node27\nnode 22 should be visited before node26\nnode 22 should be visited before node33\nnode 22 should be visited before node19\nnode 22 should be visited before node34\nnode 22 should be visited before node7\nnode 23 should be visited before node4\nnode 23 should be visited before node3\nnode 24 should be visited before node28\nnode 24 should be visited before node12\nnode 24 should be visited before node30\nnode 24 should be visited before node29\nnode 24 should be visited before node17\nnode 24 should be visited before node1\nnode 24 should be visited before node32\nnode 24 should be visited before node0\nnode 24 should be visited before node11\nnode 24 should be visited before node6\nnode 24 should be visited before node27\nnode 24 should be visited before node26\nnode 24 should be visited before node5\nnode 24 should be visited before node19\nnode 24 should be visited before node8\nnode 24 should be visited before node34\nnode 24 should be visited before node23\nnode 24 should be visited before node4\nnode 24 should be visited before node15\nnode 25 should be visited before node24\nnode 25 should be visited before node22\nnode 25 should be visited before node9\nnode 25 should be visited before node29\nnode 25 should be visited before node17\nnode 25 should be visited before node13\nnode 25 should be visited before node2\nnode 25 should be visited before node0\nnode 25 should be visited before node11\nnode 25 should be visited before node27\nnode 25 should be visited before node5\nnode 25 should be visited before node19\nnode 25 should be visited before node34\nnode 25 should be visited before node4\nnode 25 should be visited before node15\nnode 26 should be visited before node5\nnode 26 should be visited before node33\nnode 26 should be visited before node8\nnode 26 should be visited before node23\nnode 26 should be visited before node15\nnode 26 should be visited before node3\nnode 27 should be visited before node26\nnode 27 should be visited before node19\nnode 27 should be visited before node34\nnode 27 should be visited before node7\nnode 27 should be visited before node23\nnode 27 should be visited before node4\nnode 27 should be visited before node15\nnode 27 should be visited before node3\nnode 28 should be visited before node12\nnode 28 should be visited before node9\nnode 28 should be visited before node29\nnode 28 should be visited before node1\nnode 28 should be visited before node32\nnode 28 should be visited before node11\nnode 28 should be visited before node6\nnode 28 should be visited before node26\nnode 28 should be visited before node19\nnode 28 should be visited before node8\nnode 28 should be visited before node34\nnode 28 should be visited before node4\nnode 28 should be visited before node15\nnode 29 should be visited before node17\nnode 29 should be visited before node2\nnode 29 should be visited before node31\nnode 29 should be visited before node26\nnode 29 should be visited before node8\nnode 29 should be visited before node15\nnode 29 should be visited before node3\nnode 30 should be visited before node1\nnode 30 should be visited before node13\nnode 30 should be visited before node0\nnode 30 should be visited before node31\nnode 30 should be visited before node6\nnode 30 should be visited before node26\nnode 30 should be visited before node5\nnode 30 should be visited before node33\nnode 30 should be visited before node19\nnode 30 should be visited before node7\nnode 30 should be visited before node4\nnode 30 should be visited before node15\nnode 31 should be visited before node27\nnode 31 should be visited before node14\nnode 31 should be visited before node5\nnode 31 should be visited before node8\nnode 31 should be visited before node34\nnode 31 should be visited before node3\nnode 32 should be visited before node13\nnode 32 should be visited before node2\nnode 32 should be visited before node11\nnode 32 should be visited before node21\nnode 32 should be visited before node31\nnode 32 should be visited before node6\nnode 32 should be visited before node27\nnode 32 should be visited before node26\nnode 32 should be visited before node14\nnode 32 should be visited before node5\nnode 32 should be visited before node19\nnode 32 should be visited before node8\nnode 32 should be visited before node4\nnode 32 should be visited before node15\nnode 32 should be visited before node3\nnode 33 should be visited before node19\nnode 33 should be visited before node8\nnode 33 should be visited before node7\nnode 33 should be visited before node15\nnode 33 should be visited before node3\nnode 34 should be visited before node23\nnode 34 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,16,20,25,18,24,22,28,12,9,29,30,17,1,32,13,2,0,11,21,31,6,14,27,26,5,33,19,8,34,7,23,15,4,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph386",
        "image": "data/topology/graph_visual/hard/graph386.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node15\nnode 1 should be visited before node2\nnode 1 should be visited before node22\nnode 1 should be visited before node17\nnode 1 should be visited before node20\nnode 1 should be visited before node24\nnode 1 should be visited before node15\nnode 2 should be visited before node22\nnode 2 should be visited before node17\nnode 2 should be visited before node20\nnode 2 should be visited before node24\nnode 2 should be visited before node5\nnode 3 should be visited before node19\nnode 3 should be visited before node28\nnode 3 should be visited before node15\nnode 3 should be visited before node16\nnode 4 should be visited before node7\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 6 should be visited before node4\nnode 6 should be visited before node3\nnode 6 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node28\nnode 7 should be visited before node24\nnode 7 should be visited before node15\nnode 7 should be visited before node16\nnode 8 should be visited before node12\nnode 8 should be visited before node19\nnode 8 should be visited before node18\nnode 8 should be visited before node1\nnode 8 should be visited before node14\nnode 9 should be visited before node10\nnode 9 should be visited before node2\nnode 9 should be visited before node24\nnode 9 should be visited before node16\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 11 should be visited before node19\nnode 11 should be visited before node18\nnode 11 should be visited before node17\nnode 11 should be visited before node20\nnode 11 should be visited before node24\nnode 11 should be visited before node14\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node21\nnode 12 should be visited before node9\nnode 12 should be visited before node10\nnode 12 should be visited before node24\nnode 13 should be visited before node3\nnode 13 should be visited before node24\nnode 13 should be visited before node15\nnode 13 should be visited before node16\nnode 13 should be visited before node21\nnode 16 should be visited before node5\nnode 17 should be visited before node0\nnode 17 should be visited before node14\nnode 17 should be visited before node21\nnode 18 should be visited before node1\nnode 18 should be visited before node2\nnode 18 should be visited before node17\nnode 18 should be visited before node24\nnode 18 should be visited before node14\nnode 19 should be visited before node26\nnode 19 should be visited before node17\nnode 19 should be visited before node7\nnode 19 should be visited before node5\nnode 20 should be visited before node7\nnode 20 should be visited before node15\nnode 20 should be visited before node21\nnode 22 should be visited before node24\nnode 22 should be visited before node15\nnode 22 should be visited before node21\nnode 23 should be visited before node11\nnode 23 should be visited before node26\nnode 23 should be visited before node10\nnode 23 should be visited before node1\nnode 23 should be visited before node20\nnode 23 should be visited before node7\nnode 23 should be visited before node24\nnode 24 should be visited before node16\nnode 24 should be visited before node21\nnode 25 should be visited before node27\nnode 25 should be visited before node3\nnode 25 should be visited before node8\nnode 25 should be visited before node26\nnode 25 should be visited before node1\nnode 25 should be visited before node2\nnode 25 should be visited before node28\nnode 26 should be visited before node18\nnode 26 should be visited before node1\nnode 26 should be visited before node17\nnode 26 should be visited before node20\nnode 26 should be visited before node14\nnode 26 should be visited before node5\nnode 27 should be visited before node3\nnode 27 should be visited before node11\nnode 27 should be visited before node12\nnode 27 should be visited before node26\nnode 27 should be visited before node2\nnode 27 should be visited before node22\nnode 27 should be visited before node17\nnode 27 should be visited before node20\nnode 27 should be visited before node7\nnode 27 should be visited before node16\nnode 27 should be visited before node5\nnode 28 should be visited before node20\nnode 28 should be visited before node0\nnode 28 should be visited before node24\nnode 28 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,13,23,25,4,27,8,3,11,12,28,19,9,26,10,18,1,2,22,17,20,0,14,7,24,15,16,21,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph824",
        "image": "data/topology/graph_visual/hard/graph824.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 1 should be visited before node4\nnode 1 should be visited before node28\nnode 1 should be visited before node19\nnode 1 should be visited before node17\nnode 1 should be visited before node12\nnode 1 should be visited before node26\nnode 1 should be visited before node24\nnode 1 should be visited before node31\nnode 1 should be visited before node25\nnode 1 should be visited before node20\nnode 1 should be visited before node5\nnode 1 should be visited before node16\nnode 1 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node23\nnode 1 should be visited before node11\nnode 1 should be visited before node27\nnode 2 should be visited before node29\nnode 2 should be visited before node22\nnode 2 should be visited before node13\nnode 2 should be visited before node23\nnode 2 should be visited before node0\nnode 2 should be visited before node11\nnode 3 should be visited before node28\nnode 3 should be visited before node19\nnode 3 should be visited before node26\nnode 3 should be visited before node24\nnode 3 should be visited before node25\nnode 3 should be visited before node20\nnode 3 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node6\nnode 3 should be visited before node29\nnode 3 should be visited before node15\nnode 3 should be visited before node22\nnode 3 should be visited before node13\nnode 3 should be visited before node23\nnode 3 should be visited before node0\nnode 4 should be visited before node8\nnode 4 should be visited before node21\nnode 4 should be visited before node3\nnode 4 should be visited before node28\nnode 4 should be visited before node19\nnode 4 should be visited before node12\nnode 4 should be visited before node7\nnode 4 should be visited before node31\nnode 4 should be visited before node25\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node29\nnode 4 should be visited before node22\nnode 4 should be visited before node10\nnode 4 should be visited before node13\nnode 4 should be visited before node30\nnode 5 should be visited before node2\nnode 5 should be visited before node15\nnode 5 should be visited before node10\nnode 5 should be visited before node23\nnode 5 should be visited before node0\nnode 5 should be visited before node11\nnode 5 should be visited before node30\nnode 6 should be visited before node15\nnode 6 should be visited before node10\nnode 6 should be visited before node23\nnode 6 should be visited before node0\nnode 6 should be visited before node11\nnode 6 should be visited before node27\nnode 6 should be visited before node30\nnode 7 should be visited before node25\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node29\nnode 7 should be visited before node15\nnode 7 should be visited before node22\nnode 7 should be visited before node13\nnode 7 should be visited before node23\nnode 7 should be visited before node0\nnode 7 should be visited before node11\nnode 7 should be visited before node27\nnode 8 should be visited before node12\nnode 8 should be visited before node26\nnode 8 should be visited before node24\nnode 8 should be visited before node9\nnode 8 should be visited before node14\nnode 8 should be visited before node31\nnode 8 should be visited before node25\nnode 8 should be visited before node20\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node27\nnode 8 should be visited before node30\nnode 9 should be visited before node25\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node10\nnode 9 should be visited before node13\nnode 9 should be visited before node23\nnode 9 should be visited before node0\nnode 10 should be visited before node0\nnode 11 should be visited before node27\nnode 11 should be visited before node30\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node2\nnode 12 should be visited before node29\nnode 12 should be visited before node10\nnode 12 should be visited before node30\nnode 13 should be visited before node30\nnode 14 should be visited before node7\nnode 14 should be visited before node6\nnode 14 should be visited before node29\nnode 14 should be visited before node15\nnode 14 should be visited before node13\nnode 14 should be visited before node23\nnode 14 should be visited before node27\nnode 14 should be visited before node30\nnode 15 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node6\nnode 16 should be visited before node29\nnode 16 should be visited before node15\nnode 16 should be visited before node10\nnode 16 should be visited before node23\nnode 17 should be visited before node7\nnode 17 should be visited before node31\nnode 17 should be visited before node25\nnode 17 should be visited before node20\nnode 17 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node29\nnode 17 should be visited before node15\nnode 17 should be visited before node22\nnode 17 should be visited before node10\nnode 17 should be visited before node23\nnode 17 should be visited before node0\nnode 17 should be visited before node11\nnode 17 should be visited before node27\nnode 17 should be visited before node30\nnode 18 should be visited before node19\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node26\nnode 18 should be visited before node24\nnode 18 should be visited before node25\nnode 18 should be visited before node20\nnode 18 should be visited before node16\nnode 18 should be visited before node2\nnode 18 should be visited before node6\nnode 18 should be visited before node29\nnode 18 should be visited before node15\nnode 18 should be visited before node22\nnode 18 should be visited before node10\nnode 18 should be visited before node13\nnode 18 should be visited before node23\nnode 18 should be visited before node11\nnode 18 should be visited before node27\nnode 19 should be visited before node12\nnode 19 should be visited before node24\nnode 19 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node31\nnode 19 should be visited before node29\nnode 19 should be visited before node22\nnode 19 should be visited before node23\nnode 19 should be visited before node27\nnode 20 should be visited before node5\nnode 20 should be visited before node6\nnode 20 should be visited before node15\nnode 20 should be visited before node10\nnode 20 should be visited before node13\nnode 20 should be visited before node23\nnode 20 should be visited before node30\nnode 21 should be visited before node28\nnode 21 should be visited before node19\nnode 21 should be visited before node17\nnode 21 should be visited before node12\nnode 21 should be visited before node26\nnode 21 should be visited before node7\nnode 21 should be visited before node25\nnode 21 should be visited before node20\nnode 21 should be visited before node23\nnode 21 should be visited before node11\nnode 22 should be visited before node23\nnode 22 should be visited before node0\nnode 22 should be visited before node11\nnode 22 should be visited before node30\nnode 23 should be visited before node0\nnode 23 should be visited before node11\nnode 23 should be visited before node27\nnode 24 should be visited before node7\nnode 24 should be visited before node31\nnode 24 should be visited before node16\nnode 24 should be visited before node15\nnode 24 should be visited before node13\nnode 24 should be visited before node27\nnode 24 should be visited before node30\nnode 25 should be visited before node20\nnode 25 should be visited before node16\nnode 25 should be visited before node2\nnode 25 should be visited before node29\nnode 25 should be visited before node0\nnode 25 should be visited before node11\nnode 25 should be visited before node27\nnode 25 should be visited before node30\nnode 26 should be visited before node24\nnode 26 should be visited before node14\nnode 26 should be visited before node25\nnode 26 should be visited before node5\nnode 26 should be visited before node16\nnode 26 should be visited before node29\nnode 26 should be visited before node15\nnode 26 should be visited before node22\nnode 26 should be visited before node10\nnode 26 should be visited before node23\nnode 26 should be visited before node30\nnode 28 should be visited before node19\nnode 28 should be visited before node17\nnode 28 should be visited before node26\nnode 28 should be visited before node31\nnode 28 should be visited before node20\nnode 28 should be visited before node5\nnode 28 should be visited before node29\nnode 28 should be visited before node15\nnode 28 should be visited before node13\nnode 28 should be visited before node23\nnode 28 should be visited before node0\nnode 28 should be visited before node27\nnode 28 should be visited before node30\nnode 29 should be visited before node22\nnode 29 should be visited before node23\nnode 29 should be visited before node11\nnode 29 should be visited before node30\nnode 31 should be visited before node25\nnode 31 should be visited before node16\nnode 31 should be visited before node6\nnode 31 should be visited before node29\nnode 31 should be visited before node15\nnode 31 should be visited before node10\nnode 31 should be visited before node13\nnode 31 should be visited before node23\nnode 31 should be visited before node0\nnode 31 should be visited before node27\nnode 31 should be visited before node30\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,18,4,8,21,3,28,19,17,26,12,9,24,14,31,7,25,20,16,5,6,2,15,10,29,13,22,23,0,11,27,30."
            }
        ]
    },
    {
        "id": "topology-hard-graph737",
        "image": "data/topology/graph_visual/hard/graph737.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node3\nnode 0 should be visited before node15\nnode 0 should be visited before node13\nnode 0 should be visited before node10\nnode 1 should be visited before node14\nnode 2 should be visited before node24\nnode 2 should be visited before node26\nnode 2 should be visited before node11\nnode 2 should be visited before node30\nnode 2 should be visited before node0\nnode 2 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node20\nnode 2 should be visited before node4\nnode 2 should be visited before node13\nnode 2 should be visited before node14\nnode 2 should be visited before node10\nnode 3 should be visited before node20\nnode 3 should be visited before node1\nnode 3 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node10\nnode 5 should be visited before node16\nnode 5 should be visited before node2\nnode 5 should be visited before node27\nnode 5 should be visited before node28\nnode 5 should be visited before node18\nnode 5 should be visited before node17\nnode 5 should be visited before node12\nnode 5 should be visited before node15\nnode 6 should be visited before node19\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 6 should be visited before node29\nnode 6 should be visited before node9\nnode 6 should be visited before node31\nnode 6 should be visited before node30\nnode 6 should be visited before node18\nnode 6 should be visited before node12\nnode 6 should be visited before node20\nnode 6 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node21\nnode 7 should be visited before node26\nnode 7 should be visited before node22\nnode 7 should be visited before node12\nnode 7 should be visited before node4\nnode 7 should be visited before node15\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node10\nnode 8 should be visited before node26\nnode 8 should be visited before node17\nnode 8 should be visited before node3\nnode 8 should be visited before node20\nnode 8 should be visited before node4\nnode 8 should be visited before node23\nnode 8 should be visited before node15\nnode 8 should be visited before node13\nnode 8 should be visited before node14\nnode 9 should be visited before node25\nnode 9 should be visited before node21\nnode 9 should be visited before node31\nnode 9 should be visited before node27\nnode 9 should be visited before node28\nnode 9 should be visited before node18\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node10\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node23\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node10\nnode 12 should be visited before node14\nnode 13 should be visited before node10\nnode 16 should be visited before node8\nnode 16 should be visited before node11\nnode 16 should be visited before node30\nnode 16 should be visited before node18\nnode 16 should be visited before node0\nnode 16 should be visited before node12\nnode 16 should be visited before node20\nnode 16 should be visited before node14\nnode 17 should be visited before node23\nnode 18 should be visited before node22\nnode 18 should be visited before node3\nnode 18 should be visited before node12\nnode 18 should be visited before node20\nnode 18 should be visited before node1\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 19 should be visited before node7\nnode 19 should be visited before node9\nnode 19 should be visited before node31\nnode 19 should be visited before node11\nnode 19 should be visited before node17\nnode 19 should be visited before node12\nnode 19 should be visited before node4\nnode 19 should be visited before node23\nnode 19 should be visited before node15\nnode 20 should be visited before node1\nnode 20 should be visited before node13\nnode 21 should be visited before node24\nnode 21 should be visited before node8\nnode 21 should be visited before node11\nnode 21 should be visited before node0\nnode 21 should be visited before node3\nnode 21 should be visited before node10\nnode 22 should be visited before node3\nnode 22 should be visited before node1\nnode 22 should be visited before node15\nnode 22 should be visited before node14\nnode 24 should be visited before node8\nnode 24 should be visited before node27\nnode 24 should be visited before node13\nnode 24 should be visited before node14\nnode 25 should be visited before node21\nnode 25 should be visited before node30\nnode 25 should be visited before node18\nnode 25 should be visited before node0\nnode 25 should be visited before node3\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 25 should be visited before node23\nnode 26 should be visited before node28\nnode 26 should be visited before node0\nnode 26 should be visited before node17\nnode 26 should be visited before node20\nnode 26 should be visited before node4\nnode 26 should be visited before node1\nnode 26 should be visited before node15\nnode 26 should be visited before node10\nnode 27 should be visited before node11\nnode 27 should be visited before node15\nnode 28 should be visited before node22\nnode 28 should be visited before node0\nnode 28 should be visited before node3\nnode 28 should be visited before node23\nnode 28 should be visited before node15\nnode 29 should be visited before node21\nnode 29 should be visited before node8\nnode 29 should be visited before node26\nnode 29 should be visited before node11\nnode 29 should be visited before node18\nnode 29 should be visited before node17\nnode 29 should be visited before node20\nnode 29 should be visited before node13\nnode 30 should be visited before node18\nnode 30 should be visited before node3\nnode 30 should be visited before node12\nnode 30 should be visited before node20\nnode 31 should be visited before node30\nnode 31 should be visited before node22\nnode 31 should be visited before node1\nnode 31 should be visited before node13\nnode 31 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,19,5,29,7,9,2,16,25,31,21,30,24,18,8,27,26,11,28,17,4,12,22,0,23,3,20,15,1,13,14,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph34",
        "image": "data/topology/graph_visual/hard/graph34.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node7\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node16\nnode 2 should be visited before node0\nnode 2 should be visited before node15\nnode 2 should be visited before node24\nnode 2 should be visited before node22\nnode 3 should be visited before node8\nnode 3 should be visited before node18\nnode 3 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node2\nnode 3 should be visited before node19\nnode 3 should be visited before node25\nnode 3 should be visited before node7\nnode 3 should be visited before node13\nnode 3 should be visited before node15\nnode 3 should be visited before node21\nnode 3 should be visited before node16\nnode 4 should be visited before node19\nnode 4 should be visited before node7\nnode 4 should be visited before node21\nnode 5 should be visited before node9\nnode 5 should be visited before node25\nnode 5 should be visited before node23\nnode 5 should be visited before node13\nnode 5 should be visited before node21\nnode 5 should be visited before node20\nnode 5 should be visited before node16\nnode 5 should be visited before node22\nnode 6 should be visited before node19\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node20\nnode 7 should be visited before node1\nnode 7 should be visited before node20\nnode 8 should be visited before node25\nnode 8 should be visited before node23\nnode 8 should be visited before node13\nnode 8 should be visited before node24\nnode 8 should be visited before node22\nnode 9 should be visited before node2\nnode 9 should be visited before node6\nnode 9 should be visited before node19\nnode 9 should be visited before node23\nnode 9 should be visited before node13\nnode 9 should be visited before node15\nnode 9 should be visited before node24\nnode 9 should be visited before node1\nnode 9 should be visited before node16\nnode 9 should be visited before node22\nnode 10 should be visited before node14\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node24\nnode 10 should be visited before node1\nnode 10 should be visited before node21\nnode 10 should be visited before node20\nnode 10 should be visited before node22\nnode 11 should be visited before node5\nnode 11 should be visited before node6\nnode 11 should be visited before node19\nnode 11 should be visited before node25\nnode 11 should be visited before node23\nnode 11 should be visited before node13\nnode 11 should be visited before node16\nnode 12 should be visited before node6\nnode 12 should be visited before node23\nnode 12 should be visited before node15\nnode 12 should be visited before node24\nnode 12 should be visited before node16\nnode 13 should be visited before node1\nnode 13 should be visited before node20\nnode 13 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node8\nnode 14 should be visited before node18\nnode 14 should be visited before node9\nnode 14 should be visited before node19\nnode 14 should be visited before node23\nnode 14 should be visited before node15\nnode 14 should be visited before node20\nnode 14 should be visited before node22\nnode 17 should be visited before node9\nnode 17 should be visited before node25\nnode 17 should be visited before node23\nnode 17 should be visited before node0\nnode 17 should be visited before node15\nnode 17 should be visited before node24\nnode 17 should be visited before node20\nnode 17 should be visited before node16\nnode 18 should be visited before node2\nnode 18 should be visited before node23\nnode 18 should be visited before node13\nnode 19 should be visited before node25\nnode 19 should be visited before node0\nnode 21 should be visited before node20\nnode 21 should be visited before node16\nnode 23 should be visited before node7\nnode 23 should be visited before node13\nnode 23 should be visited before node1\nnode 23 should be visited before node16\nnode 24 should be visited before node16\nnode 25 should be visited before node21\nnode 25 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,10,12,17,14,11,8,18,5,9,2,6,23,15,24,22,19,25,0,7,13,21,1,20,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph88",
        "image": "data/topology/graph_visual/hard/graph88.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node4\nnode 0 should be visited before node22\nnode 0 should be visited before node12\nnode 0 should be visited before node20\nnode 0 should be visited before node6\nnode 0 should be visited before node24\nnode 0 should be visited before node5\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 0 should be visited before node21\nnode 1 should be visited before node14\nnode 1 should be visited before node11\nnode 1 should be visited before node0\nnode 1 should be visited before node22\nnode 1 should be visited before node20\nnode 1 should be visited before node25\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node7\nnode 2 should be visited before node7\nnode 2 should be visited before node3\nnode 2 should be visited before node21\nnode 3 should be visited before node21\nnode 4 should be visited before node22\nnode 4 should be visited before node12\nnode 4 should be visited before node25\nnode 4 should be visited before node6\nnode 4 should be visited before node24\nnode 4 should be visited before node23\nnode 4 should be visited before node5\nnode 4 should be visited before node10\nnode 4 should be visited before node21\nnode 5 should be visited before node3\nnode 6 should be visited before node15\nnode 6 should be visited before node2\nnode 6 should be visited before node23\nnode 6 should be visited before node5\nnode 6 should be visited before node10\nnode 6 should be visited before node3\nnode 7 should be visited before node3\nnode 7 should be visited before node21\nnode 8 should be visited before node1\nnode 8 should be visited before node16\nnode 8 should be visited before node12\nnode 8 should be visited before node25\nnode 8 should be visited before node6\nnode 8 should be visited before node24\nnode 8 should be visited before node5\nnode 8 should be visited before node10\nnode 8 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node2\nnode 9 should be visited before node23\nnode 9 should be visited before node5\nnode 9 should be visited before node10\nnode 9 should be visited before node7\nnode 9 should be visited before node21\nnode 10 should be visited before node7\nnode 10 should be visited before node3\nnode 11 should be visited before node17\nnode 11 should be visited before node4\nnode 11 should be visited before node22\nnode 11 should be visited before node9\nnode 11 should be visited before node25\nnode 11 should be visited before node15\nnode 11 should be visited before node2\nnode 11 should be visited before node23\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 11 should be visited before node21\nnode 12 should be visited before node18\nnode 12 should be visited before node6\nnode 12 should be visited before node24\nnode 12 should be visited before node10\nnode 12 should be visited before node7\nnode 12 should be visited before node21\nnode 13 should be visited before node1\nnode 13 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node22\nnode 13 should be visited before node12\nnode 13 should be visited before node9\nnode 13 should be visited before node6\nnode 13 should be visited before node15\nnode 13 should be visited before node2\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 14 should be visited before node16\nnode 14 should be visited before node17\nnode 14 should be visited before node0\nnode 14 should be visited before node4\nnode 14 should be visited before node22\nnode 14 should be visited before node18\nnode 14 should be visited before node20\nnode 14 should be visited before node25\nnode 14 should be visited before node2\nnode 14 should be visited before node7\nnode 15 should be visited before node24\nnode 15 should be visited before node23\nnode 15 should be visited before node7\nnode 16 should be visited before node11\nnode 16 should be visited before node0\nnode 16 should be visited before node4\nnode 16 should be visited before node22\nnode 16 should be visited before node18\nnode 16 should be visited before node20\nnode 16 should be visited before node15\nnode 16 should be visited before node24\nnode 16 should be visited before node2\nnode 16 should be visited before node5\nnode 16 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node22\nnode 17 should be visited before node24\nnode 17 should be visited before node2\nnode 17 should be visited before node10\nnode 18 should be visited before node20\nnode 18 should be visited before node9\nnode 18 should be visited before node15\nnode 18 should be visited before node24\nnode 18 should be visited before node2\nnode 18 should be visited before node10\nnode 18 should be visited before node7\nnode 18 should be visited before node21\nnode 19 should be visited before node1\nnode 19 should be visited before node16\nnode 19 should be visited before node11\nnode 19 should be visited before node22\nnode 19 should be visited before node18\nnode 19 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node24\nnode 19 should be visited before node2\nnode 19 should be visited before node23\nnode 19 should be visited before node5\nnode 19 should be visited before node7\nnode 19 should be visited before node3\nnode 20 should be visited before node25\nnode 20 should be visited before node6\nnode 20 should be visited before node15\nnode 20 should be visited before node24\nnode 20 should be visited before node23\nnode 20 should be visited before node5\nnode 20 should be visited before node10\nnode 20 should be visited before node3\nnode 20 should be visited before node21\nnode 22 should be visited before node18\nnode 22 should be visited before node20\nnode 22 should be visited before node9\nnode 22 should be visited before node6\nnode 22 should be visited before node15\nnode 22 should be visited before node24\nnode 22 should be visited before node23\nnode 22 should be visited before node10\nnode 22 should be visited before node21\nnode 23 should be visited before node7\nnode 23 should be visited before node21\nnode 24 should be visited before node21\nnode 25 should be visited before node6\nnode 25 should be visited before node15\nnode 25 should be visited before node2\nnode 25 should be visited before node5\nnode 25 should be visited before node10\nnode 25 should be visited before node7\nnode 25 should be visited before node3\nnode 25 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,13,19,1,14,16,11,17,0,4,22,12,18,20,9,25,6,15,2,5,10,24,23,7,3,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph583",
        "image": "data/topology/graph_visual/hard/graph583.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node14\nnode 0 should be visited before node9\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node22\nnode 0 should be visited before node26\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 2 should be visited before node24\nnode 2 should be visited before node14\nnode 2 should be visited before node27\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 2 should be visited before node13\nnode 2 should be visited before node18\nnode 2 should be visited before node7\nnode 2 should be visited before node22\nnode 2 should be visited before node21\nnode 2 should be visited before node25\nnode 2 should be visited before node17\nnode 2 should be visited before node26\nnode 2 should be visited before node1\nnode 3 should be visited before node14\nnode 3 should be visited before node27\nnode 3 should be visited before node12\nnode 3 should be visited before node6\nnode 3 should be visited before node20\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 3 should be visited before node23\nnode 3 should be visited before node22\nnode 3 should be visited before node26\nnode 3 should be visited before node1\nnode 4 should be visited before node29\nnode 4 should be visited before node16\nnode 4 should be visited before node7\nnode 4 should be visited before node21\nnode 4 should be visited before node11\nnode 4 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node29\nnode 5 should be visited before node13\nnode 5 should be visited before node18\nnode 5 should be visited before node23\nnode 5 should be visited before node7\nnode 5 should be visited before node25\nnode 5 should be visited before node17\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 6 should be visited before node16\nnode 6 should be visited before node22\nnode 6 should be visited before node17\nnode 6 should be visited before node26\nnode 7 should be visited before node22\nnode 7 should be visited before node21\nnode 7 should be visited before node26\nnode 7 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 8 should be visited before node27\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node23\nnode 8 should be visited before node25\nnode 8 should be visited before node17\nnode 8 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 9 should be visited before node20\nnode 9 should be visited before node4\nnode 9 should be visited before node29\nnode 9 should be visited before node18\nnode 9 should be visited before node7\nnode 9 should be visited before node21\nnode 10 should be visited before node19\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node9\nnode 10 should be visited before node27\nnode 10 should be visited before node12\nnode 10 should be visited before node6\nnode 10 should be visited before node20\nnode 10 should be visited before node4\nnode 10 should be visited before node29\nnode 10 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node22\nnode 10 should be visited before node21\nnode 10 should be visited before node25\nnode 11 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node20\nnode 12 should be visited before node4\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 12 should be visited before node22\nnode 12 should be visited before node17\nnode 13 should be visited before node18\nnode 13 should be visited before node23\nnode 13 should be visited before node25\nnode 13 should be visited before node17\nnode 13 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node27\nnode 14 should be visited before node20\nnode 14 should be visited before node4\nnode 14 should be visited before node29\nnode 14 should be visited before node17\nnode 14 should be visited before node26\nnode 14 should be visited before node11\nnode 14 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node8\nnode 15 should be visited before node0\nnode 15 should be visited before node24\nnode 15 should be visited before node12\nnode 15 should be visited before node5\nnode 15 should be visited before node20\nnode 15 should be visited before node29\nnode 15 should be visited before node13\nnode 15 should be visited before node18\nnode 15 should be visited before node23\nnode 15 should be visited before node7\nnode 15 should be visited before node22\nnode 15 should be visited before node21\nnode 15 should be visited before node17\nnode 15 should be visited before node26\nnode 15 should be visited before node11\nnode 16 should be visited before node23\nnode 16 should be visited before node25\nnode 16 should be visited before node17\nnode 16 should be visited before node11\nnode 16 should be visited before node1\nnode 17 should be visited before node26\nnode 17 should be visited before node1\nnode 18 should be visited before node23\nnode 18 should be visited before node22\nnode 18 should be visited before node21\nnode 18 should be visited before node17\nnode 18 should be visited before node26\nnode 18 should be visited before node11\nnode 18 should be visited before node1\nnode 19 should be visited before node0\nnode 19 should be visited before node24\nnode 19 should be visited before node14\nnode 19 should be visited before node9\nnode 19 should be visited before node27\nnode 19 should be visited before node6\nnode 19 should be visited before node4\nnode 19 should be visited before node29\nnode 19 should be visited before node16\nnode 19 should be visited before node23\nnode 19 should be visited before node7\nnode 19 should be visited before node26\nnode 20 should be visited before node16\nnode 20 should be visited before node13\nnode 20 should be visited before node21\nnode 20 should be visited before node25\nnode 20 should be visited before node26\nnode 21 should be visited before node11\nnode 21 should be visited before node1\nnode 22 should be visited before node25\nnode 22 should be visited before node17\nnode 22 should be visited before node26\nnode 23 should be visited before node21\nnode 23 should be visited before node25\nnode 23 should be visited before node26\nnode 23 should be visited before node1\nnode 24 should be visited before node14\nnode 24 should be visited before node9\nnode 24 should be visited before node20\nnode 24 should be visited before node4\nnode 24 should be visited before node16\nnode 24 should be visited before node18\nnode 24 should be visited before node25\nnode 24 should be visited before node17\nnode 25 should be visited before node17\nnode 25 should be visited before node26\nnode 25 should be visited before node11\nnode 25 should be visited before node1\nnode 27 should be visited before node5\nnode 27 should be visited before node6\nnode 27 should be visited before node20\nnode 27 should be visited before node16\nnode 27 should be visited before node13\nnode 27 should be visited before node18\nnode 27 should be visited before node23\nnode 27 should be visited before node7\nnode 27 should be visited before node22\nnode 27 should be visited before node26\nnode 28 should be visited before node15\nnode 28 should be visited before node10\nnode 28 should be visited before node19\nnode 28 should be visited before node8\nnode 28 should be visited before node0\nnode 28 should be visited before node24\nnode 28 should be visited before node14\nnode 28 should be visited before node27\nnode 28 should be visited before node6\nnode 28 should be visited before node20\nnode 28 should be visited before node4\nnode 28 should be visited before node16\nnode 28 should be visited before node13\nnode 28 should be visited before node23\nnode 28 should be visited before node22\nnode 28 should be visited before node25\nnode 28 should be visited before node17\nnode 28 should be visited before node11\nnode 29 should be visited before node13\nnode 29 should be visited before node21\nnode 29 should be visited before node25\nnode 29 should be visited before node17\nnode 29 should be visited before node26\nnode 29 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "28,15,10,8,19,3,2,0,24,12,14,9,27,5,6,20,4,29,16,7,13,18,23,22,21,25,17,11,26,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph1135",
        "image": "data/topology/graph_visual/hard/graph1135.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node10\nnode 1 should be visited before node11\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node19\nnode 1 should be visited before node27\nnode 1 should be visited before node26\nnode 1 should be visited before node6\nnode 1 should be visited before node34\nnode 1 should be visited before node14\nnode 2 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node9\nnode 2 should be visited before node21\nnode 2 should be visited before node26\nnode 2 should be visited before node6\nnode 2 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node21\nnode 3 should be visited before node30\nnode 3 should be visited before node0\nnode 3 should be visited before node26\nnode 3 should be visited before node34\nnode 4 should be visited before node20\nnode 4 should be visited before node21\nnode 4 should be visited before node26\nnode 4 should be visited before node6\nnode 4 should be visited before node16\nnode 4 should be visited before node33\nnode 5 should be visited before node19\nnode 5 should be visited before node10\nnode 6 should be visited before node16\nnode 6 should be visited before node34\nnode 7 should be visited before node8\nnode 7 should be visited before node3\nnode 7 should be visited before node13\nnode 7 should be visited before node21\nnode 7 should be visited before node30\nnode 7 should be visited before node0\nnode 7 should be visited before node26\nnode 7 should be visited before node34\nnode 7 should be visited before node33\nnode 7 should be visited before node14\nnode 8 should be visited before node19\nnode 8 should be visited before node3\nnode 8 should be visited before node30\nnode 8 should be visited before node26\nnode 8 should be visited before node34\nnode 9 should be visited before node30\nnode 9 should be visited before node0\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 10 should be visited before node14\nnode 11 should be visited before node20\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 11 should be visited before node13\nnode 11 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node19\nnode 12 should be visited before node21\nnode 12 should be visited before node33\nnode 13 should be visited before node21\nnode 13 should be visited before node0\nnode 13 should be visited before node26\nnode 13 should be visited before node16\nnode 15 should be visited before node23\nnode 15 should be visited before node25\nnode 15 should be visited before node4\nnode 15 should be visited before node11\nnode 15 should be visited before node28\nnode 15 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node27\nnode 15 should be visited before node30\nnode 15 should be visited before node16\nnode 15 should be visited before node10\nnode 16 should be visited before node10\nnode 16 should be visited before node34\nnode 17 should be visited before node1\nnode 17 should be visited before node4\nnode 17 should be visited before node24\nnode 18 should be visited before node22\nnode 18 should be visited before node23\nnode 18 should be visited before node25\nnode 18 should be visited before node32\nnode 18 should be visited before node12\nnode 18 should be visited before node1\nnode 18 should be visited before node28\nnode 18 should be visited before node9\nnode 18 should be visited before node13\nnode 18 should be visited before node0\nnode 18 should be visited before node6\nnode 18 should be visited before node16\nnode 18 should be visited before node10\nnode 18 should be visited before node34\nnode 19 should be visited before node9\nnode 19 should be visited before node0\nnode 19 should be visited before node6\nnode 19 should be visited before node34\nnode 20 should be visited before node24\nnode 20 should be visited before node30\nnode 20 should be visited before node6\nnode 20 should be visited before node34\nnode 20 should be visited before node33\nnode 21 should be visited before node30\nnode 21 should be visited before node0\nnode 22 should be visited before node29\nnode 22 should be visited before node25\nnode 22 should be visited before node17\nnode 22 should be visited before node2\nnode 22 should be visited before node1\nnode 22 should be visited before node11\nnode 22 should be visited before node28\nnode 22 should be visited before node20\nnode 22 should be visited before node19\nnode 22 should be visited before node27\nnode 22 should be visited before node10\nnode 23 should be visited before node13\nnode 23 should be visited before node21\nnode 23 should be visited before node6\nnode 23 should be visited before node34\nnode 23 should be visited before node14\nnode 24 should be visited before node3\nnode 24 should be visited before node26\nnode 24 should be visited before node16\nnode 25 should be visited before node28\nnode 25 should be visited before node19\nnode 25 should be visited before node27\nnode 25 should be visited before node9\nnode 25 should be visited before node30\nnode 25 should be visited before node0\nnode 25 should be visited before node6\nnode 25 should be visited before node34\nnode 26 should be visited before node16\nnode 26 should be visited before node34\nnode 27 should be visited before node13\nnode 27 should be visited before node26\nnode 27 should be visited before node6\nnode 27 should be visited before node10\nnode 27 should be visited before node14\nnode 28 should be visited before node24\nnode 28 should be visited before node27\nnode 28 should be visited before node26\nnode 28 should be visited before node10\nnode 28 should be visited before node34\nnode 29 should be visited before node25\nnode 29 should be visited before node12\nnode 29 should be visited before node20\nnode 29 should be visited before node19\nnode 29 should be visited before node0\nnode 29 should be visited before node6\nnode 30 should be visited before node0\nnode 30 should be visited before node26\nnode 30 should be visited before node33\nnode 31 should be visited before node25\nnode 31 should be visited before node12\nnode 31 should be visited before node2\nnode 31 should be visited before node11\nnode 31 should be visited before node20\nnode 31 should be visited before node16\nnode 32 should be visited before node12\nnode 32 should be visited before node7\nnode 32 should be visited before node5\nnode 32 should be visited before node24\nnode 32 should be visited before node19\nnode 32 should be visited before node21\nnode 32 should be visited before node0\nnode 32 should be visited before node26\nnode 32 should be visited before node10\nnode 32 should be visited before node34\nnode 34 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,18,31,22,23,32,29,17,25,12,1,4,28,2,11,7,27,20,5,8,13,24,19,3,9,21,6,30,0,26,33,16,10,34,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph262",
        "image": "data/topology/graph_visual/hard/graph262.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node26\nnode 0 should be visited before node9\nnode 0 should be visited before node25\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node11\nnode 0 should be visited before node16\nnode 1 should be visited before node19\nnode 1 should be visited before node4\nnode 1 should be visited before node13\nnode 1 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node2\nnode 4 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node24\nnode 5 should be visited before node0\nnode 5 should be visited before node26\nnode 5 should be visited before node7\nnode 5 should be visited before node17\nnode 5 should be visited before node14\nnode 5 should be visited before node19\nnode 5 should be visited before node20\nnode 5 should be visited before node21\nnode 5 should be visited before node22\nnode 5 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node27\nnode 6 should be visited before node8\nnode 6 should be visited before node21\nnode 6 should be visited before node22\nnode 6 should be visited before node3\nnode 6 should be visited before node24\nnode 7 should be visited before node23\nnode 7 should be visited before node17\nnode 7 should be visited before node1\nnode 7 should be visited before node13\nnode 7 should be visited before node21\nnode 7 should be visited before node10\nnode 7 should be visited before node18\nnode 8 should be visited before node19\nnode 8 should be visited before node20\nnode 8 should be visited before node18\nnode 9 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node20\nnode 9 should be visited before node21\nnode 10 should be visited before node2\nnode 11 should be visited before node2\nnode 11 should be visited before node24\nnode 12 should be visited before node8\nnode 12 should be visited before node1\nnode 12 should be visited before node19\nnode 12 should be visited before node10\nnode 12 should be visited before node11\nnode 12 should be visited before node18\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 13 should be visited before node11\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 14 should be visited before node4\nnode 14 should be visited before node18\nnode 14 should be visited before node24\nnode 15 should be visited before node9\nnode 15 should be visited before node23\nnode 15 should be visited before node17\nnode 15 should be visited before node25\nnode 15 should be visited before node19\nnode 15 should be visited before node21\nnode 15 should be visited before node22\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node2\nnode 17 should be visited before node8\nnode 17 should be visited before node22\nnode 17 should be visited before node10\nnode 17 should be visited before node18\nnode 17 should be visited before node16\nnode 17 should be visited before node24\nnode 18 should be visited before node3\nnode 18 should be visited before node24\nnode 19 should be visited before node22\nnode 19 should be visited before node18\nnode 20 should be visited before node21\nnode 20 should be visited before node10\nnode 20 should be visited before node3\nnode 20 should be visited before node24\nnode 21 should be visited before node10\nnode 21 should be visited before node2\nnode 22 should be visited before node18\nnode 22 should be visited before node3\nnode 22 should be visited before node2\nnode 23 should be visited before node25\nnode 23 should be visited before node8\nnode 23 should be visited before node19\nnode 23 should be visited before node18\nnode 25 should be visited before node13\nnode 25 should be visited before node21\nnode 25 should be visited before node16\nnode 26 should be visited before node9\nnode 26 should be visited before node23\nnode 26 should be visited before node4\nnode 26 should be visited before node22\nnode 26 should be visited before node16\nnode 27 should be visited before node19\nnode 27 should be visited before node4\nnode 27 should be visited before node20\nnode 27 should be visited before node21\nnode 27 should be visited before node2\nnode 27 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,12,15,0,14,7,27,26,17,9,23,1,25,8,4,13,16,19,20,11,22,21,18,10,3,24,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph58",
        "image": "data/topology/graph_visual/hard/graph58.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node8\nnode 0 should be visited before node15\nnode 1 should be visited before node11\nnode 1 should be visited before node19\nnode 1 should be visited before node0\nnode 1 should be visited before node25\nnode 3 should be visited before node12\nnode 3 should be visited before node19\nnode 3 should be visited before node16\nnode 3 should be visited before node17\nnode 3 should be visited before node25\nnode 3 should be visited before node10\nnode 3 should be visited before node6\nnode 3 should be visited before node13\nnode 4 should be visited before node21\nnode 4 should be visited before node20\nnode 4 should be visited before node12\nnode 4 should be visited before node2\nnode 4 should be visited before node15\nnode 5 should be visited before node8\nnode 5 should be visited before node25\nnode 6 should be visited before node13\nnode 6 should be visited before node2\nnode 6 should be visited before node15\nnode 7 should be visited before node1\nnode 7 should be visited before node21\nnode 7 should be visited before node11\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node18\nnode 7 should be visited before node19\nnode 7 should be visited before node22\nnode 7 should be visited before node10\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 9 should be visited before node18\nnode 9 should be visited before node19\nnode 9 should be visited before node0\nnode 9 should be visited before node22\nnode 9 should be visited before node17\nnode 10 should be visited before node13\nnode 10 should be visited before node15\nnode 11 should be visited before node3\nnode 11 should be visited before node22\nnode 11 should be visited before node13\nnode 12 should be visited before node22\nnode 12 should be visited before node13\nnode 13 should be visited before node15\nnode 14 should be visited before node21\nnode 14 should be visited before node20\nnode 14 should be visited before node18\nnode 14 should be visited before node22\nnode 14 should be visited before node17\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 16 should be visited before node15\nnode 18 should be visited before node16\nnode 18 should be visited before node6\nnode 18 should be visited before node2\nnode 18 should be visited before node15\nnode 19 should be visited before node0\nnode 19 should be visited before node8\nnode 19 should be visited before node10\nnode 19 should be visited before node6\nnode 20 should be visited before node8\nnode 20 should be visited before node10\nnode 21 should be visited before node17\nnode 22 should be visited before node17\nnode 22 should be visited before node6\nnode 22 should be visited before node2\nnode 22 should be visited before node15\nnode 23 should be visited before node21\nnode 23 should be visited before node20\nnode 23 should be visited before node18\nnode 23 should be visited before node22\nnode 23 should be visited before node8\nnode 23 should be visited before node17\nnode 23 should be visited before node13\nnode 24 should be visited before node20\nnode 24 should be visited before node9\nnode 24 should be visited before node18\nnode 24 should be visited before node5\nnode 24 should be visited before node25\nnode 24 should be visited before node2\nnode 25 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,7,14,23,24,1,21,20,9,5,11,18,3,12,19,16,25,22,0,17,6,8,10,2,13,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph273",
        "image": "data/topology/graph_visual/hard/graph273.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node17\nnode 0 should be visited before node2\nnode 0 should be visited before node19\nnode 1 should be visited before node17\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node9\nnode 2 should be visited before node15\nnode 3 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node24\nnode 3 should be visited before node6\nnode 3 should be visited before node15\nnode 3 should be visited before node9\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 6 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node20\nnode 7 should be visited before node22\nnode 7 should be visited before node3\nnode 7 should be visited before node11\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 7 should be visited before node21\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node24\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 8 should be visited before node15\nnode 10 should be visited before node17\nnode 10 should be visited before node19\nnode 10 should be visited before node9\nnode 11 should be visited before node15\nnode 12 should be visited before node26\nnode 12 should be visited before node3\nnode 12 should be visited before node17\nnode 12 should be visited before node27\nnode 12 should be visited before node24\nnode 12 should be visited before node19\nnode 13 should be visited before node0\nnode 13 should be visited before node10\nnode 13 should be visited before node2\nnode 13 should be visited before node24\nnode 13 should be visited before node19\nnode 14 should be visited before node6\nnode 15 should be visited before node9\nnode 16 should be visited before node26\nnode 16 should be visited before node17\nnode 16 should be visited before node14\nnode 16 should be visited before node8\nnode 17 should be visited before node27\nnode 17 should be visited before node24\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 18 should be visited before node3\nnode 18 should be visited before node21\nnode 18 should be visited before node27\nnode 18 should be visited before node24\nnode 18 should be visited before node19\nnode 18 should be visited before node14\nnode 18 should be visited before node8\nnode 19 should be visited before node14\nnode 19 should be visited before node8\nnode 19 should be visited before node9\nnode 20 should be visited before node1\nnode 20 should be visited before node5\nnode 20 should be visited before node21\nnode 20 should be visited before node24\nnode 20 should be visited before node19\nnode 20 should be visited before node15\nnode 21 should be visited before node27\nnode 21 should be visited before node2\nnode 22 should be visited before node0\nnode 22 should be visited before node3\nnode 22 should be visited before node5\nnode 22 should be visited before node4\nnode 22 should be visited before node14\nnode 22 should be visited before node6\nnode 22 should be visited before node8\nnode 22 should be visited before node15\nnode 23 should be visited before node26\nnode 23 should be visited before node0\nnode 23 should be visited before node10\nnode 23 should be visited before node5\nnode 23 should be visited before node14\nnode 24 should be visited before node19\nnode 25 should be visited before node16\nnode 25 should be visited before node26\nnode 25 should be visited before node13\nnode 25 should be visited before node3\nnode 25 should be visited before node11\nnode 25 should be visited before node21\nnode 25 should be visited before node27\nnode 25 should be visited before node4\nnode 25 should be visited before node2\nnode 25 should be visited before node15\nnode 25 should be visited before node9\nnode 26 should be visited before node18\nnode 26 should be visited before node22\nnode 26 should be visited before node3\nnode 26 should be visited before node10\nnode 26 should be visited before node21\nnode 26 should be visited before node4\nnode 26 should be visited before node14\nnode 26 should be visited before node8\nnode 26 should be visited before node15\nnode 27 should be visited before node4\nnode 27 should be visited before node24\nnode 27 should be visited before node19\nnode 27 should be visited before node14\nnode 27 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,23,25,12,20,16,13,11,1,26,18,22,10,21,0,3,17,5,27,2,4,24,19,14,6,8,15,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph817",
        "image": "data/topology/graph_visual/hard/graph817.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node30\nnode 0 should be visited before node31\nnode 0 should be visited before node16\nnode 0 should be visited before node6\nnode 0 should be visited before node10\nnode 0 should be visited before node15\nnode 1 should be visited before node31\nnode 1 should be visited before node28\nnode 1 should be visited before node23\nnode 1 should be visited before node19\nnode 1 should be visited before node18\nnode 1 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node12\nnode 1 should be visited before node15\nnode 2 should be visited before node15\nnode 4 should be visited before node6\nnode 4 should be visited before node9\nnode 4 should be visited before node10\nnode 4 should be visited before node15\nnode 5 should be visited before node27\nnode 5 should be visited before node21\nnode 5 should be visited before node30\nnode 5 should be visited before node16\nnode 5 should be visited before node25\nnode 5 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node2\nnode 6 should be visited before node15\nnode 7 should be visited before node29\nnode 7 should be visited before node5\nnode 7 should be visited before node27\nnode 7 should be visited before node0\nnode 7 should be visited before node30\nnode 7 should be visited before node31\nnode 7 should be visited before node28\nnode 7 should be visited before node16\nnode 7 should be visited before node19\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node15\nnode 8 should be visited before node28\nnode 8 should be visited before node25\nnode 8 should be visited before node18\nnode 8 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 8 should be visited before node3\nnode 8 should be visited before node12\nnode 9 should be visited before node12\nnode 9 should be visited before node15\nnode 10 should be visited before node3\nnode 10 should be visited before node12\nnode 10 should be visited before node15\nnode 11 should be visited before node22\nnode 11 should be visited before node20\nnode 11 should be visited before node7\nnode 11 should be visited before node14\nnode 11 should be visited before node5\nnode 11 should be visited before node24\nnode 11 should be visited before node27\nnode 11 should be visited before node13\nnode 11 should be visited before node30\nnode 11 should be visited before node23\nnode 11 should be visited before node19\nnode 11 should be visited before node4\nnode 11 should be visited before node9\nnode 11 should be visited before node2\nnode 11 should be visited before node10\nnode 11 should be visited before node3\nnode 11 should be visited before node12\nnode 12 should be visited before node15\nnode 13 should be visited before node30\nnode 13 should be visited before node31\nnode 13 should be visited before node23\nnode 13 should be visited before node19\nnode 13 should be visited before node25\nnode 13 should be visited before node18\nnode 13 should be visited before node6\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node12\nnode 14 should be visited before node24\nnode 14 should be visited before node0\nnode 14 should be visited before node21\nnode 14 should be visited before node13\nnode 14 should be visited before node8\nnode 14 should be visited before node31\nnode 14 should be visited before node28\nnode 14 should be visited before node16\nnode 14 should be visited before node4\nnode 14 should be visited before node6\nnode 14 should be visited before node9\nnode 14 should be visited before node2\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node12\nnode 16 should be visited before node19\nnode 16 should be visited before node6\nnode 16 should be visited before node9\nnode 16 should be visited before node3\nnode 16 should be visited before node12\nnode 17 should be visited before node26\nnode 17 should be visited before node20\nnode 17 should be visited before node7\nnode 17 should be visited before node13\nnode 17 should be visited before node28\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node9\nnode 17 should be visited before node2\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node15\nnode 18 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node9\nnode 18 should be visited before node2\nnode 18 should be visited before node15\nnode 19 should be visited before node18\nnode 19 should be visited before node4\nnode 19 should be visited before node6\nnode 19 should be visited before node10\nnode 19 should be visited before node3\nnode 19 should be visited before node12\nnode 19 should be visited before node15\nnode 20 should be visited before node7\nnode 20 should be visited before node29\nnode 20 should be visited before node14\nnode 20 should be visited before node5\nnode 20 should be visited before node24\nnode 20 should be visited before node0\nnode 20 should be visited before node13\nnode 20 should be visited before node30\nnode 20 should be visited before node1\nnode 20 should be visited before node28\nnode 20 should be visited before node25\nnode 20 should be visited before node18\nnode 20 should be visited before node9\nnode 20 should be visited before node2\nnode 20 should be visited before node3\nnode 21 should be visited before node30\nnode 21 should be visited before node8\nnode 21 should be visited before node1\nnode 21 should be visited before node28\nnode 21 should be visited before node16\nnode 21 should be visited before node19\nnode 21 should be visited before node6\nnode 21 should be visited before node2\nnode 21 should be visited before node12\nnode 21 should be visited before node15\nnode 22 should be visited before node7\nnode 22 should be visited before node29\nnode 22 should be visited before node5\nnode 22 should be visited before node0\nnode 22 should be visited before node21\nnode 22 should be visited before node8\nnode 22 should be visited before node31\nnode 22 should be visited before node28\nnode 22 should be visited before node16\nnode 22 should be visited before node19\nnode 22 should be visited before node18\nnode 22 should be visited before node2\nnode 22 should be visited before node15\nnode 23 should be visited before node19\nnode 23 should be visited before node25\nnode 23 should be visited before node4\nnode 23 should be visited before node2\nnode 23 should be visited before node10\nnode 23 should be visited before node3\nnode 23 should be visited before node15\nnode 24 should be visited before node27\nnode 24 should be visited before node13\nnode 24 should be visited before node8\nnode 24 should be visited before node28\nnode 24 should be visited before node16\nnode 24 should be visited before node19\nnode 24 should be visited before node6\nnode 24 should be visited before node9\nnode 24 should be visited before node2\nnode 24 should be visited before node3\nnode 25 should be visited before node18\nnode 25 should be visited before node4\nnode 25 should be visited before node10\nnode 25 should be visited before node15\nnode 26 should be visited before node24\nnode 26 should be visited before node13\nnode 26 should be visited before node30\nnode 26 should be visited before node1\nnode 26 should be visited before node31\nnode 26 should be visited before node28\nnode 26 should be visited before node23\nnode 26 should be visited before node19\nnode 26 should be visited before node4\nnode 26 should be visited before node2\nnode 26 should be visited before node10\nnode 26 should be visited before node12\nnode 27 should be visited before node0\nnode 27 should be visited before node21\nnode 27 should be visited before node13\nnode 27 should be visited before node30\nnode 27 should be visited before node31\nnode 27 should be visited before node18\nnode 27 should be visited before node4\nnode 27 should be visited before node6\nnode 27 should be visited before node2\nnode 27 should be visited before node3\nnode 27 should be visited before node12\nnode 27 should be visited before node15\nnode 28 should be visited before node16\nnode 28 should be visited before node19\nnode 28 should be visited before node4\nnode 28 should be visited before node6\nnode 28 should be visited before node10\nnode 28 should be visited before node12\nnode 28 should be visited before node15\nnode 29 should be visited before node5\nnode 29 should be visited before node27\nnode 29 should be visited before node30\nnode 29 should be visited before node8\nnode 29 should be visited before node1\nnode 29 should be visited before node31\nnode 29 should be visited before node28\nnode 29 should be visited before node16\nnode 29 should be visited before node23\nnode 29 should be visited before node9\nnode 29 should be visited before node3\nnode 29 should be visited before node15\nnode 30 should be visited before node31\nnode 30 should be visited before node25\nnode 30 should be visited before node6\nnode 30 should be visited before node9\nnode 30 should be visited before node2\nnode 30 should be visited before node12\nnode 31 should be visited before node28\nnode 31 should be visited before node19\nnode 31 should be visited before node25\nnode 31 should be visited before node4\nnode 31 should be visited before node9\nnode 31 should be visited before node10\nnode 31 should be visited before node3\nnode 31 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,17,22,26,20,7,14,29,24,5,27,0,21,13,8,1,30,23,31,28,25,16,19,18,4,6,10,9,2,3,12,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph998",
        "image": "data/topology/graph_visual/hard/graph998.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 0 should be visited before node7\nnode 0 should be visited before node20\nnode 0 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node10\nnode 2 should be visited before node1\nnode 2 should be visited before node32\nnode 3 should be visited before node1\nnode 4 should be visited before node21\nnode 4 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node2\nnode 5 should be visited before node27\nnode 5 should be visited before node13\nnode 5 should be visited before node24\nnode 5 should be visited before node32\nnode 6 should be visited before node16\nnode 6 should be visited before node15\nnode 6 should be visited before node9\nnode 6 should be visited before node20\nnode 6 should be visited before node11\nnode 7 should be visited before node3\nnode 7 should be visited before node11\nnode 7 should be visited before node1\nnode 8 should be visited before node16\nnode 8 should be visited before node29\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 8 should be visited before node27\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 9 should be visited before node27\nnode 9 should be visited before node14\nnode 9 should be visited before node13\nnode 9 should be visited before node11\nnode 9 should be visited before node1\nnode 9 should be visited before node32\nnode 10 should be visited before node11\nnode 12 should be visited before node33\nnode 12 should be visited before node6\nnode 12 should be visited before node8\nnode 12 should be visited before node17\nnode 12 should be visited before node29\nnode 12 should be visited before node21\nnode 12 should be visited before node2\nnode 13 should be visited before node20\nnode 13 should be visited before node10\nnode 13 should be visited before node32\nnode 14 should be visited before node7\nnode 15 should be visited before node27\nnode 15 should be visited before node13\nnode 15 should be visited before node3\nnode 16 should be visited before node18\nnode 16 should be visited before node15\nnode 16 should be visited before node4\nnode 16 should be visited before node21\nnode 16 should be visited before node27\nnode 16 should be visited before node14\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node32\nnode 17 should be visited before node0\nnode 17 should be visited before node9\nnode 17 should be visited before node27\nnode 17 should be visited before node24\nnode 17 should be visited before node3\nnode 17 should be visited before node11\nnode 17 should be visited before node1\nnode 17 should be visited before node32\nnode 18 should be visited before node15\nnode 18 should be visited before node29\nnode 18 should be visited before node27\nnode 18 should be visited before node14\nnode 18 should be visited before node7\nnode 18 should be visited before node3\nnode 18 should be visited before node11\nnode 18 should be visited before node1\nnode 19 should be visited before node30\nnode 19 should be visited before node26\nnode 19 should be visited before node18\nnode 19 should be visited before node4\nnode 19 should be visited before node24\nnode 19 should be visited before node3\nnode 19 should be visited before node10\nnode 19 should be visited before node1\nnode 20 should be visited before node11\nnode 21 should be visited before node2\nnode 21 should be visited before node7\nnode 21 should be visited before node10\nnode 21 should be visited before node11\nnode 21 should be visited before node1\nnode 22 should be visited before node6\nnode 22 should be visited before node18\nnode 22 should be visited before node2\nnode 22 should be visited before node20\nnode 23 should be visited before node19\nnode 23 should be visited before node26\nnode 23 should be visited before node17\nnode 23 should be visited before node18\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node21\nnode 23 should be visited before node2\nnode 23 should be visited before node27\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 24 should be visited before node7\nnode 24 should be visited before node3\nnode 24 should be visited before node10\nnode 24 should be visited before node11\nnode 24 should be visited before node32\nnode 25 should be visited before node23\nnode 25 should be visited before node19\nnode 25 should be visited before node8\nnode 25 should be visited before node16\nnode 25 should be visited before node17\nnode 25 should be visited before node4\nnode 25 should be visited before node24\nnode 25 should be visited before node20\nnode 25 should be visited before node3\nnode 25 should be visited before node10\nnode 25 should be visited before node1\nnode 26 should be visited before node16\nnode 26 should be visited before node17\nnode 26 should be visited before node18\nnode 26 should be visited before node15\nnode 26 should be visited before node0\nnode 26 should be visited before node2\nnode 26 should be visited before node7\nnode 26 should be visited before node11\nnode 26 should be visited before node1\nnode 27 should be visited before node14\nnode 27 should be visited before node1\nnode 27 should be visited before node32\nnode 28 should be visited before node25\nnode 28 should be visited before node6\nnode 28 should be visited before node5\nnode 28 should be visited before node18\nnode 28 should be visited before node4\nnode 28 should be visited before node2\nnode 28 should be visited before node27\nnode 28 should be visited before node14\nnode 29 should be visited before node21\nnode 29 should be visited before node7\nnode 29 should be visited before node10\nnode 30 should be visited before node26\nnode 30 should be visited before node18\nnode 30 should be visited before node27\nnode 30 should be visited before node13\nnode 30 should be visited before node24\nnode 30 should be visited before node11\nnode 30 should be visited before node1\nnode 30 should be visited before node32\nnode 31 should be visited before node25\nnode 31 should be visited before node16\nnode 31 should be visited before node4\nnode 31 should be visited before node0\nnode 31 should be visited before node9\nnode 31 should be visited before node21\nnode 31 should be visited before node13\nnode 31 should be visited before node7\nnode 31 should be visited before node3\nnode 31 should be visited before node11\nnode 33 should be visited before node19\nnode 33 should be visited before node6\nnode 33 should be visited before node26\nnode 33 should be visited before node15\nnode 33 should be visited before node2\nnode 33 should be visited before node3\nnode 33 should be visited before node10\nnode 33 should be visited before node32\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,22,28,31,33,5,25,6,23,8,19,30,26,16,17,18,4,0,15,29,9,21,27,2,14,13,24,20,7,10,32,3,11,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph959",
        "image": "data/topology/graph_visual/hard/graph959.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node3\nnode 0 should be visited before node13\nnode 0 should be visited before node26\nnode 0 should be visited before node4\nnode 0 should be visited before node12\nnode 0 should be visited before node21\nnode 0 should be visited before node29\nnode 0 should be visited before node22\nnode 0 should be visited before node9\nnode 0 should be visited before node28\nnode 0 should be visited before node23\nnode 0 should be visited before node27\nnode 0 should be visited before node25\nnode 0 should be visited before node24\nnode 0 should be visited before node20\nnode 0 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node9\nnode 1 should be visited before node18\nnode 1 should be visited before node32\nnode 1 should be visited before node25\nnode 1 should be visited before node15\nnode 1 should be visited before node24\nnode 1 should be visited before node10\nnode 1 should be visited before node20\nnode 1 should be visited before node6\nnode 1 should be visited before node31\nnode 2 should be visited before node14\nnode 2 should be visited before node0\nnode 2 should be visited before node19\nnode 2 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node26\nnode 2 should be visited before node5\nnode 2 should be visited before node18\nnode 2 should be visited before node28\nnode 2 should be visited before node11\nnode 2 should be visited before node17\nnode 2 should be visited before node27\nnode 2 should be visited before node32\nnode 2 should be visited before node25\nnode 2 should be visited before node15\nnode 2 should be visited before node20\nnode 2 should be visited before node31\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node4\nnode 3 should be visited before node7\nnode 3 should be visited before node22\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node23\nnode 3 should be visited before node32\nnode 3 should be visited before node15\nnode 3 should be visited before node24\nnode 3 should be visited before node10\nnode 3 should be visited before node6\nnode 4 should be visited before node7\nnode 4 should be visited before node30\nnode 4 should be visited before node29\nnode 4 should be visited before node22\nnode 4 should be visited before node18\nnode 4 should be visited before node23\nnode 4 should be visited before node27\nnode 4 should be visited before node15\nnode 4 should be visited before node24\nnode 4 should be visited before node10\nnode 4 should be visited before node31\nnode 5 should be visited before node30\nnode 5 should be visited before node9\nnode 5 should be visited before node18\nnode 5 should be visited before node28\nnode 5 should be visited before node23\nnode 5 should be visited before node27\nnode 5 should be visited before node24\nnode 5 should be visited before node10\nnode 5 should be visited before node6\nnode 5 should be visited before node31\nnode 6 should be visited before node31\nnode 7 should be visited before node30\nnode 7 should be visited before node29\nnode 7 should be visited before node18\nnode 7 should be visited before node28\nnode 7 should be visited before node11\nnode 7 should be visited before node17\nnode 7 should be visited before node23\nnode 7 should be visited before node27\nnode 7 should be visited before node32\nnode 7 should be visited before node10\nnode 7 should be visited before node31\nnode 8 should be visited before node3\nnode 8 should be visited before node16\nnode 8 should be visited before node13\nnode 8 should be visited before node26\nnode 8 should be visited before node7\nnode 8 should be visited before node5\nnode 8 should be visited before node21\nnode 8 should be visited before node9\nnode 8 should be visited before node18\nnode 8 should be visited before node28\nnode 8 should be visited before node11\nnode 8 should be visited before node17\nnode 8 should be visited before node27\nnode 8 should be visited before node31\nnode 9 should be visited before node18\nnode 9 should be visited before node11\nnode 9 should be visited before node32\nnode 9 should be visited before node24\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node31\nnode 10 should be visited before node6\nnode 11 should be visited before node23\nnode 11 should be visited before node25\nnode 11 should be visited before node15\nnode 11 should be visited before node24\nnode 11 should be visited before node10\nnode 11 should be visited before node20\nnode 11 should be visited before node31\nnode 12 should be visited before node30\nnode 12 should be visited before node29\nnode 12 should be visited before node18\nnode 12 should be visited before node11\nnode 12 should be visited before node23\nnode 12 should be visited before node27\nnode 12 should be visited before node32\nnode 12 should be visited before node15\nnode 12 should be visited before node6\nnode 12 should be visited before node31\nnode 13 should be visited before node26\nnode 13 should be visited before node21\nnode 13 should be visited before node9\nnode 13 should be visited before node18\nnode 13 should be visited before node11\nnode 13 should be visited before node23\nnode 13 should be visited before node27\nnode 13 should be visited before node15\nnode 13 should be visited before node20\nnode 14 should be visited before node8\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node5\nnode 14 should be visited before node21\nnode 14 should be visited before node30\nnode 14 should be visited before node18\nnode 14 should be visited before node15\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 15 should be visited before node24\nnode 15 should be visited before node31\nnode 16 should be visited before node1\nnode 16 should be visited before node13\nnode 16 should be visited before node4\nnode 16 should be visited before node5\nnode 16 should be visited before node12\nnode 16 should be visited before node29\nnode 16 should be visited before node22\nnode 16 should be visited before node18\nnode 16 should be visited before node11\nnode 16 should be visited before node23\nnode 16 should be visited before node27\nnode 16 should be visited before node32\nnode 16 should be visited before node15\nnode 16 should be visited before node10\nnode 16 should be visited before node6\nnode 16 should be visited before node31\nnode 17 should be visited before node23\nnode 17 should be visited before node32\nnode 17 should be visited before node25\nnode 18 should be visited before node11\nnode 18 should be visited before node17\nnode 18 should be visited before node27\nnode 18 should be visited before node32\nnode 18 should be visited before node15\nnode 18 should be visited before node24\nnode 18 should be visited before node10\nnode 18 should be visited before node6\nnode 18 should be visited before node31\nnode 19 should be visited before node13\nnode 19 should be visited before node26\nnode 19 should be visited before node7\nnode 19 should be visited before node9\nnode 19 should be visited before node25\nnode 19 should be visited before node15\nnode 19 should be visited before node6\nnode 20 should be visited before node6\nnode 21 should be visited before node30\nnode 21 should be visited before node29\nnode 21 should be visited before node28\nnode 21 should be visited before node17\nnode 21 should be visited before node23\nnode 21 should be visited before node27\nnode 21 should be visited before node32\nnode 21 should be visited before node6\nnode 21 should be visited before node31\nnode 22 should be visited before node9\nnode 22 should be visited before node11\nnode 22 should be visited before node17\nnode 22 should be visited before node25\nnode 22 should be visited before node10\nnode 22 should be visited before node6\nnode 22 should be visited before node31\nnode 23 should be visited before node27\nnode 23 should be visited before node15\nnode 23 should be visited before node24\nnode 24 should be visited before node10\nnode 25 should be visited before node15\nnode 25 should be visited before node10\nnode 25 should be visited before node6\nnode 26 should be visited before node5\nnode 26 should be visited before node30\nnode 26 should be visited before node22\nnode 26 should be visited before node11\nnode 26 should be visited before node17\nnode 26 should be visited before node27\nnode 26 should be visited before node25\nnode 26 should be visited before node15\nnode 26 should be visited before node24\nnode 26 should be visited before node20\nnode 26 should be visited before node31\nnode 27 should be visited before node25\nnode 27 should be visited before node20\nnode 27 should be visited before node6\nnode 28 should be visited before node17\nnode 28 should be visited before node23\nnode 28 should be visited before node25\nnode 28 should be visited before node15\nnode 28 should be visited before node24\nnode 28 should be visited before node6\nnode 28 should be visited before node31\nnode 29 should be visited before node18\nnode 29 should be visited before node28\nnode 29 should be visited before node23\nnode 29 should be visited before node32\nnode 29 should be visited before node15\nnode 29 should be visited before node24\nnode 29 should be visited before node10\nnode 29 should be visited before node6\nnode 30 should be visited before node25\nnode 30 should be visited before node15\nnode 30 should be visited before node10\nnode 30 should be visited before node6\nnode 32 should be visited before node25\nnode 32 should be visited before node15\nnode 32 should be visited before node24\nnode 32 should be visited before node6\nnode 32 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,14,0,8,19,3,16,1,4,12,13,7,26,21,5,22,29,30,9,28,18,11,17,23,32,27,25,20,15,24,10,6,31."
            }
        ]
    },
    {
        "id": "topology-hard-graph1058",
        "image": "data/topology/graph_visual/hard/graph1058.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node1\nnode 0 should be visited before node28\nnode 2 should be visited before node13\nnode 2 should be visited before node17\nnode 2 should be visited before node31\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node25\nnode 3 should be visited before node10\nnode 3 should be visited before node2\nnode 3 should be visited before node24\nnode 3 should be visited before node0\nnode 3 should be visited before node1\nnode 4 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 4 should be visited before node12\nnode 4 should be visited before node0\nnode 4 should be visited before node1\nnode 5 should be visited before node33\nnode 5 should be visited before node8\nnode 5 should be visited before node21\nnode 5 should be visited before node19\nnode 5 should be visited before node3\nnode 5 should be visited before node25\nnode 5 should be visited before node15\nnode 5 should be visited before node9\nnode 5 should be visited before node10\nnode 5 should be visited before node2\nnode 5 should be visited before node31\nnode 5 should be visited before node12\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 6 should be visited before node25\nnode 6 should be visited before node29\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 6 should be visited before node17\nnode 6 should be visited before node24\nnode 6 should be visited before node12\nnode 6 should be visited before node18\nnode 7 should be visited before node8\nnode 7 should be visited before node26\nnode 7 should be visited before node27\nnode 7 should be visited before node21\nnode 7 should be visited before node19\nnode 7 should be visited before node6\nnode 7 should be visited before node25\nnode 7 should be visited before node15\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node29\nnode 7 should be visited before node10\nnode 7 should be visited before node20\nnode 7 should be visited before node2\nnode 7 should be visited before node31\nnode 8 should be visited before node27\nnode 8 should be visited before node21\nnode 8 should be visited before node19\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node29\nnode 8 should be visited before node2\nnode 8 should be visited before node31\nnode 8 should be visited before node12\nnode 8 should be visited before node18\nnode 8 should be visited before node0\nnode 9 should be visited before node29\nnode 9 should be visited before node20\nnode 9 should be visited before node2\nnode 9 should be visited before node31\nnode 9 should be visited before node24\nnode 9 should be visited before node12\nnode 9 should be visited before node1\nnode 9 should be visited before node28\nnode 10 should be visited before node20\nnode 10 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 10 should be visited before node28\nnode 11 should be visited before node5\nnode 11 should be visited before node16\nnode 11 should be visited before node22\nnode 11 should be visited before node33\nnode 11 should be visited before node32\nnode 11 should be visited before node8\nnode 11 should be visited before node21\nnode 11 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 11 should be visited before node9\nnode 11 should be visited before node29\nnode 11 should be visited before node20\nnode 11 should be visited before node13\nnode 11 should be visited before node17\nnode 11 should be visited before node31\nnode 11 should be visited before node24\nnode 11 should be visited before node12\nnode 11 should be visited before node18\nnode 11 should be visited before node0\nnode 11 should be visited before node28\nnode 12 should be visited before node18\nnode 12 should be visited before node0\nnode 12 should be visited before node28\nnode 13 should be visited before node24\nnode 13 should be visited before node1\nnode 13 should be visited before node28\nnode 14 should be visited before node20\nnode 14 should be visited before node17\nnode 14 should be visited before node31\nnode 14 should be visited before node24\nnode 14 should be visited before node18\nnode 14 should be visited before node1\nnode 15 should be visited before node9\nnode 15 should be visited before node29\nnode 15 should be visited before node10\nnode 15 should be visited before node17\nnode 15 should be visited before node31\nnode 15 should be visited before node24\nnode 15 should be visited before node18\nnode 15 should be visited before node28\nnode 16 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node6\nnode 16 should be visited before node15\nnode 16 should be visited before node14\nnode 16 should be visited before node9\nnode 16 should be visited before node29\nnode 16 should be visited before node10\nnode 16 should be visited before node13\nnode 16 should be visited before node31\nnode 16 should be visited before node12\nnode 16 should be visited before node18\nnode 16 should be visited before node28\nnode 17 should be visited before node12\nnode 17 should be visited before node0\nnode 18 should be visited before node0\nnode 18 should be visited before node1\nnode 19 should be visited before node3\nnode 19 should be visited before node6\nnode 19 should be visited before node14\nnode 19 should be visited before node29\nnode 19 should be visited before node10\nnode 19 should be visited before node20\nnode 19 should be visited before node17\nnode 19 should be visited before node31\nnode 19 should be visited before node24\nnode 19 should be visited before node18\nnode 20 should be visited before node13\nnode 20 should be visited before node17\nnode 20 should be visited before node31\nnode 20 should be visited before node24\nnode 20 should be visited before node12\nnode 20 should be visited before node18\nnode 21 should be visited before node3\nnode 21 should be visited before node6\nnode 21 should be visited before node25\nnode 21 should be visited before node15\nnode 21 should be visited before node14\nnode 21 should be visited before node9\nnode 21 should be visited before node2\nnode 21 should be visited before node18\nnode 21 should be visited before node1\nnode 22 should be visited before node32\nnode 22 should be visited before node8\nnode 22 should be visited before node21\nnode 22 should be visited before node6\nnode 22 should be visited before node4\nnode 22 should be visited before node14\nnode 22 should be visited before node9\nnode 22 should be visited before node10\nnode 22 should be visited before node2\nnode 22 should be visited before node13\nnode 22 should be visited before node17\nnode 22 should be visited before node0\nnode 22 should be visited before node1\nnode 23 should be visited before node16\nnode 23 should be visited before node7\nnode 23 should be visited before node8\nnode 23 should be visited before node26\nnode 23 should be visited before node19\nnode 23 should be visited before node3\nnode 23 should be visited before node6\nnode 23 should be visited before node4\nnode 23 should be visited before node15\nnode 23 should be visited before node9\nnode 23 should be visited before node20\nnode 23 should be visited before node24\nnode 23 should be visited before node18\nnode 23 should be visited before node0\nnode 23 should be visited before node1\nnode 24 should be visited before node12\nnode 24 should be visited before node0\nnode 24 should be visited before node1\nnode 24 should be visited before node28\nnode 25 should be visited before node14\nnode 25 should be visited before node20\nnode 25 should be visited before node2\nnode 25 should be visited before node24\nnode 25 should be visited before node12\nnode 25 should be visited before node18\nnode 25 should be visited before node0\nnode 25 should be visited before node1\nnode 25 should be visited before node28\nnode 26 should be visited before node21\nnode 26 should be visited before node19\nnode 26 should be visited before node3\nnode 26 should be visited before node6\nnode 26 should be visited before node4\nnode 26 should be visited before node25\nnode 26 should be visited before node9\nnode 26 should be visited before node29\nnode 26 should be visited before node10\nnode 26 should be visited before node17\nnode 26 should be visited before node24\nnode 26 should be visited before node12\nnode 26 should be visited before node18\nnode 26 should be visited before node0\nnode 26 should be visited before node28\nnode 27 should be visited before node21\nnode 27 should be visited before node19\nnode 27 should be visited before node3\nnode 27 should be visited before node6\nnode 27 should be visited before node4\nnode 27 should be visited before node25\nnode 27 should be visited before node14\nnode 27 should be visited before node9\nnode 27 should be visited before node29\nnode 27 should be visited before node10\nnode 27 should be visited before node2\nnode 27 should be visited before node24\nnode 27 should be visited before node18\nnode 27 should be visited before node0\nnode 27 should be visited before node1\nnode 27 should be visited before node28\nnode 29 should be visited before node10\nnode 29 should be visited before node20\nnode 29 should be visited before node31\nnode 29 should be visited before node24\nnode 29 should be visited before node1\nnode 30 should be visited before node16\nnode 30 should be visited before node32\nnode 30 should be visited before node7\nnode 30 should be visited before node21\nnode 30 should be visited before node19\nnode 30 should be visited before node6\nnode 30 should be visited before node4\nnode 30 should be visited before node25\nnode 30 should be visited before node15\nnode 30 should be visited before node2\nnode 30 should be visited before node17\nnode 30 should be visited before node24\nnode 30 should be visited before node0\nnode 30 should be visited before node1\nnode 31 should be visited before node18\nnode 31 should be visited before node0\nnode 32 should be visited before node26\nnode 32 should be visited before node27\nnode 32 should be visited before node3\nnode 32 should be visited before node4\nnode 32 should be visited before node25\nnode 32 should be visited before node15\nnode 32 should be visited before node14\nnode 32 should be visited before node9\nnode 32 should be visited before node10\nnode 32 should be visited before node13\nnode 32 should be visited before node31\nnode 32 should be visited before node28\nnode 33 should be visited before node7\nnode 33 should be visited before node8\nnode 33 should be visited before node19\nnode 33 should be visited before node4\nnode 33 should be visited before node15\nnode 33 should be visited before node14\nnode 33 should be visited before node29\nnode 33 should be visited before node20\nnode 33 should be visited before node2\nnode 33 should be visited before node13\nnode 33 should be visited before node12\nnode 33 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,23,30,5,22,16,33,32,7,8,26,27,21,19,4,15,3,9,6,25,29,14,10,20,2,13,17,31,24,12,18,0,1,28."
            }
        ]
    },
    {
        "id": "topology-hard-graph346",
        "image": "data/topology/graph_visual/hard/graph346.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node8\nnode 0 should be visited before node14\nnode 0 should be visited before node9\nnode 0 should be visited before node26\nnode 0 should be visited before node20\nnode 0 should be visited before node12\nnode 0 should be visited before node5\nnode 0 should be visited before node24\nnode 0 should be visited before node13\nnode 0 should be visited before node23\nnode 0 should be visited before node16\nnode 0 should be visited before node22\nnode 0 should be visited before node25\nnode 0 should be visited before node3\nnode 1 should be visited before node17\nnode 1 should be visited before node4\nnode 1 should be visited before node22\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 2 should be visited before node3\nnode 4 should be visited before node22\nnode 4 should be visited before node6\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 5 should be visited before node1\nnode 5 should be visited before node23\nnode 5 should be visited before node17\nnode 5 should be visited before node4\nnode 5 should be visited before node22\nnode 5 should be visited before node25\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 7 should be visited before node21\nnode 7 should be visited before node11\nnode 7 should be visited before node8\nnode 7 should be visited before node14\nnode 7 should be visited before node1\nnode 7 should be visited before node24\nnode 7 should be visited before node17\nnode 7 should be visited before node16\nnode 7 should be visited before node6\nnode 8 should be visited before node14\nnode 8 should be visited before node9\nnode 8 should be visited before node26\nnode 8 should be visited before node5\nnode 8 should be visited before node16\nnode 8 should be visited before node4\nnode 8 should be visited before node22\nnode 8 should be visited before node25\nnode 8 should be visited before node15\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 9 should be visited before node26\nnode 9 should be visited before node18\nnode 9 should be visited before node20\nnode 9 should be visited before node23\nnode 9 should be visited before node16\nnode 9 should be visited before node25\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node11\nnode 10 should be visited before node26\nnode 10 should be visited before node20\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node23\nnode 10 should be visited before node17\nnode 10 should be visited before node16\nnode 10 should be visited before node4\nnode 10 should be visited before node22\nnode 10 should be visited before node6\nnode 10 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node12\nnode 11 should be visited before node5\nnode 11 should be visited before node24\nnode 11 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node17\nnode 11 should be visited before node16\nnode 11 should be visited before node22\nnode 11 should be visited before node6\nnode 11 should be visited before node15\nnode 12 should be visited before node13\nnode 12 should be visited before node23\nnode 12 should be visited before node4\nnode 12 should be visited before node25\nnode 12 should be visited before node15\nnode 12 should be visited before node2\nnode 12 should be visited before node3\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node4\nnode 13 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node26\nnode 14 should be visited before node18\nnode 14 should be visited before node1\nnode 14 should be visited before node13\nnode 14 should be visited before node16\nnode 14 should be visited before node22\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node3\nnode 16 should be visited before node4\nnode 16 should be visited before node22\nnode 16 should be visited before node6\nnode 16 should be visited before node15\nnode 16 should be visited before node3\nnode 17 should be visited before node16\nnode 17 should be visited before node4\nnode 17 should be visited before node22\nnode 17 should be visited before node25\nnode 18 should be visited before node20\nnode 18 should be visited before node12\nnode 18 should be visited before node17\nnode 18 should be visited before node4\nnode 18 should be visited before node25\nnode 18 should be visited before node3\nnode 19 should be visited before node27\nnode 19 should be visited before node8\nnode 19 should be visited before node9\nnode 19 should be visited before node13\nnode 19 should be visited before node16\nnode 19 should be visited before node22\nnode 19 should be visited before node25\nnode 19 should be visited before node3\nnode 20 should be visited before node12\nnode 20 should be visited before node24\nnode 20 should be visited before node23\nnode 20 should be visited before node4\nnode 20 should be visited before node6\nnode 20 should be visited before node15\nnode 20 should be visited before node2\nnode 20 should be visited before node3\nnode 21 should be visited before node11\nnode 21 should be visited before node9\nnode 21 should be visited before node18\nnode 21 should be visited before node12\nnode 21 should be visited before node5\nnode 21 should be visited before node1\nnode 21 should be visited before node24\nnode 21 should be visited before node13\nnode 21 should be visited before node16\nnode 21 should be visited before node22\nnode 21 should be visited before node25\nnode 21 should be visited before node3\nnode 22 should be visited before node6\nnode 22 should be visited before node2\nnode 22 should be visited before node3\nnode 23 should be visited before node17\nnode 23 should be visited before node22\nnode 23 should be visited before node2\nnode 24 should be visited before node23\nnode 24 should be visited before node17\nnode 24 should be visited before node16\nnode 24 should be visited before node22\nnode 24 should be visited before node6\nnode 24 should be visited before node15\nnode 24 should be visited before node3\nnode 25 should be visited before node6\nnode 25 should be visited before node15\nnode 25 should be visited before node3\nnode 26 should be visited before node18\nnode 26 should be visited before node5\nnode 26 should be visited before node23\nnode 26 should be visited before node17\nnode 26 should be visited before node4\nnode 26 should be visited before node6\nnode 26 should be visited before node15\nnode 26 should be visited before node3\nnode 27 should be visited before node8\nnode 27 should be visited before node9\nnode 27 should be visited before node18\nnode 27 should be visited before node12\nnode 27 should be visited before node23\nnode 27 should be visited before node17\nnode 27 should be visited before node16\nnode 27 should be visited before node4\nnode 27 should be visited before node22\nnode 27 should be visited before node15\nnode 27 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,19,7,0,27,21,8,11,14,9,26,18,5,20,1,12,24,13,23,17,16,25,4,15,22,6,2,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph63",
        "image": "data/topology/graph_visual/hard/graph63.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node19\nnode 0 should be visited before node22\nnode 0 should be visited before node13\nnode 1 should be visited before node19\nnode 1 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node13\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node6\nnode 4 should be visited before node16\nnode 4 should be visited before node1\nnode 4 should be visited before node19\nnode 4 should be visited before node17\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node19\nnode 5 should be visited before node17\nnode 5 should be visited before node22\nnode 5 should be visited before node13\nnode 5 should be visited before node2\nnode 6 should be visited before node16\nnode 6 should be visited before node24\nnode 6 should be visited before node1\nnode 6 should be visited before node19\nnode 7 should be visited before node10\nnode 7 should be visited before node21\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node17\nnode 7 should be visited before node2\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 8 should be visited before node16\nnode 8 should be visited before node21\nnode 8 should be visited before node24\nnode 8 should be visited before node1\nnode 8 should be visited before node22\nnode 8 should be visited before node13\nnode 8 should be visited before node2\nnode 9 should be visited before node25\nnode 9 should be visited before node4\nnode 9 should be visited before node8\nnode 9 should be visited before node15\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node21\nnode 9 should be visited before node1\nnode 9 should be visited before node0\nnode 9 should be visited before node17\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 10 should be visited before node6\nnode 10 should be visited before node17\nnode 10 should be visited before node22\nnode 10 should be visited before node2\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 11 should be visited before node5\nnode 11 should be visited before node10\nnode 11 should be visited before node21\nnode 11 should be visited before node24\nnode 11 should be visited before node0\nnode 11 should be visited before node19\nnode 11 should be visited before node17\nnode 11 should be visited before node22\nnode 11 should be visited before node2\nnode 12 should be visited before node23\nnode 12 should be visited before node20\nnode 12 should be visited before node11\nnode 12 should be visited before node9\nnode 12 should be visited before node25\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node0\nnode 12 should be visited before node19\nnode 12 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node20\nnode 14 should be visited before node9\nnode 14 should be visited before node4\nnode 14 should be visited before node8\nnode 14 should be visited before node15\nnode 14 should be visited before node6\nnode 14 should be visited before node21\nnode 14 should be visited before node24\nnode 14 should be visited before node3\nnode 14 should be visited before node19\nnode 14 should be visited before node17\nnode 14 should be visited before node22\nnode 14 should be visited before node2\nnode 15 should be visited before node6\nnode 15 should be visited before node21\nnode 15 should be visited before node19\nnode 15 should be visited before node17\nnode 15 should be visited before node13\nnode 16 should be visited before node21\nnode 16 should be visited before node24\nnode 16 should be visited before node1\nnode 16 should be visited before node3\nnode 16 should be visited before node0\nnode 16 should be visited before node19\nnode 17 should be visited before node22\nnode 17 should be visited before node2\nnode 18 should be visited before node4\nnode 18 should be visited before node8\nnode 18 should be visited before node5\nnode 18 should be visited before node7\nnode 18 should be visited before node10\nnode 18 should be visited before node6\nnode 18 should be visited before node16\nnode 18 should be visited before node3\nnode 18 should be visited before node0\nnode 18 should be visited before node19\nnode 18 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node25\nnode 20 should be visited before node8\nnode 20 should be visited before node5\nnode 20 should be visited before node7\nnode 20 should be visited before node10\nnode 20 should be visited before node6\nnode 20 should be visited before node16\nnode 20 should be visited before node21\nnode 20 should be visited before node1\nnode 20 should be visited before node19\nnode 20 should be visited before node17\nnode 21 should be visited before node1\nnode 21 should be visited before node19\nnode 21 should be visited before node17\nnode 21 should be visited before node22\nnode 22 should be visited before node2\nnode 23 should be visited before node20\nnode 23 should be visited before node9\nnode 23 should be visited before node25\nnode 23 should be visited before node8\nnode 23 should be visited before node5\nnode 23 should be visited before node15\nnode 23 should be visited before node10\nnode 23 should be visited before node19\nnode 24 should be visited before node22\nnode 24 should be visited before node13\nnode 24 should be visited before node2\nnode 25 should be visited before node4\nnode 25 should be visited before node8\nnode 25 should be visited before node7\nnode 25 should be visited before node6\nnode 25 should be visited before node16\nnode 25 should be visited before node24\nnode 25 should be visited before node0\nnode 25 should be visited before node17\nnode 25 should be visited before node22\nnode 25 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,18,12,23,11,20,9,25,4,8,5,7,15,10,6,16,21,24,3,1,17,0,19,22,13,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph410",
        "image": "data/topology/graph_visual/hard/graph410.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node2\nnode 1 should be visited before node22\nnode 1 should be visited before node15\nnode 1 should be visited before node2\nnode 3 should be visited before node12\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node21\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 3 should be visited before node26\nnode 4 should be visited before node15\nnode 4 should be visited before node2\nnode 6 should be visited before node26\nnode 7 should be visited before node20\nnode 7 should be visited before node6\nnode 7 should be visited before node9\nnode 7 should be visited before node15\nnode 7 should be visited before node26\nnode 7 should be visited before node5\nnode 8 should be visited before node21\nnode 8 should be visited before node22\nnode 8 should be visited before node17\nnode 8 should be visited before node0\nnode 8 should be visited before node15\nnode 9 should be visited before node26\nnode 9 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 10 should be visited before node15\nnode 10 should be visited before node26\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 11 should be visited before node24\nnode 11 should be visited before node21\nnode 11 should be visited before node22\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 12 should be visited before node23\nnode 12 should be visited before node19\nnode 12 should be visited before node11\nnode 12 should be visited before node6\nnode 12 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node15\nnode 13 should be visited before node23\nnode 13 should be visited before node19\nnode 13 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node26\nnode 13 should be visited before node2\nnode 14 should be visited before node21\nnode 14 should be visited before node25\nnode 14 should be visited before node1\nnode 15 should be visited before node26\nnode 16 should be visited before node23\nnode 16 should be visited before node21\nnode 16 should be visited before node25\nnode 16 should be visited before node6\nnode 16 should be visited before node4\nnode 16 should be visited before node15\nnode 16 should be visited before node26\nnode 16 should be visited before node5\nnode 17 should be visited before node0\nnode 17 should be visited before node26\nnode 18 should be visited before node12\nnode 18 should be visited before node23\nnode 18 should be visited before node28\nnode 18 should be visited before node11\nnode 18 should be visited before node6\nnode 19 should be visited before node22\nnode 19 should be visited before node6\nnode 19 should be visited before node15\nnode 20 should be visited before node15\nnode 21 should be visited before node1\nnode 21 should be visited before node20\nnode 21 should be visited before node6\nnode 21 should be visited before node26\nnode 22 should be visited before node6\nnode 22 should be visited before node4\nnode 22 should be visited before node17\nnode 22 should be visited before node15\nnode 22 should be visited before node5\nnode 23 should be visited before node7\nnode 23 should be visited before node24\nnode 23 should be visited before node8\nnode 23 should be visited before node25\nnode 23 should be visited before node22\nnode 23 should be visited before node15\nnode 23 should be visited before node26\nnode 24 should be visited before node14\nnode 24 should be visited before node0\nnode 24 should be visited before node15\nnode 24 should be visited before node26\nnode 25 should be visited before node1\nnode 25 should be visited before node20\nnode 25 should be visited before node6\nnode 25 should be visited before node9\nnode 25 should be visited before node17\nnode 26 should be visited before node5\nnode 27 should be visited before node18\nnode 27 should be visited before node10\nnode 27 should be visited before node7\nnode 27 should be visited before node11\nnode 27 should be visited before node1\nnode 27 should be visited before node20\nnode 27 should be visited before node4\nnode 27 should be visited before node0\nnode 27 should be visited before node15\nnode 27 should be visited before node26\nnode 28 should be visited before node19\nnode 28 should be visited before node8\nnode 28 should be visited before node6\nnode 28 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,13,16,27,18,10,12,28,23,11,19,7,8,24,14,21,25,1,20,9,22,6,4,17,15,0,26,2,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph331",
        "image": "data/topology/graph_visual/hard/graph331.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node8\nnode 0 should be visited before node2\nnode 0 should be visited before node26\nnode 0 should be visited before node18\nnode 0 should be visited before node24\nnode 0 should be visited before node9\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node22\nnode 0 should be visited before node27\nnode 1 should be visited before node20\nnode 2 should be visited before node26\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node7\nnode 2 should be visited before node15\nnode 2 should be visited before node6\nnode 2 should be visited before node22\nnode 2 should be visited before node1\nnode 2 should be visited before node20\nnode 3 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node16\nnode 3 should be visited before node24\nnode 3 should be visited before node9\nnode 3 should be visited before node14\nnode 3 should be visited before node21\nnode 3 should be visited before node10\nnode 3 should be visited before node7\nnode 3 should be visited before node23\nnode 3 should be visited before node6\nnode 3 should be visited before node22\nnode 3 should be visited before node13\nnode 3 should be visited before node4\nnode 5 should be visited before node16\nnode 5 should be visited before node26\nnode 5 should be visited before node25\nnode 5 should be visited before node14\nnode 5 should be visited before node21\nnode 5 should be visited before node7\nnode 5 should be visited before node6\nnode 5 should be visited before node12\nnode 5 should be visited before node22\nnode 5 should be visited before node13\nnode 5 should be visited before node19\nnode 5 should be visited before node20\nnode 6 should be visited before node12\nnode 6 should be visited before node19\nnode 7 should be visited before node15\nnode 7 should be visited before node12\nnode 7 should be visited before node22\nnode 7 should be visited before node13\nnode 7 should be visited before node27\nnode 7 should be visited before node1\nnode 7 should be visited before node20\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node16\nnode 8 should be visited before node25\nnode 8 should be visited before node24\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node6\nnode 8 should be visited before node22\nnode 8 should be visited before node13\nnode 8 should be visited before node19\nnode 9 should be visited before node21\nnode 9 should be visited before node6\nnode 9 should be visited before node22\nnode 9 should be visited before node13\nnode 9 should be visited before node27\nnode 9 should be visited before node20\nnode 9 should be visited before node4\nnode 10 should be visited before node23\nnode 10 should be visited before node6\nnode 10 should be visited before node13\nnode 10 should be visited before node27\nnode 10 should be visited before node20\nnode 11 should be visited before node7\nnode 11 should be visited before node12\nnode 11 should be visited before node22\nnode 11 should be visited before node19\nnode 11 should be visited before node20\nnode 12 should be visited before node27\nnode 12 should be visited before node19\nnode 13 should be visited before node1\nnode 13 should be visited before node4\nnode 14 should be visited before node15\nnode 14 should be visited before node27\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 15 should be visited before node23\nnode 15 should be visited before node13\nnode 15 should be visited before node27\nnode 15 should be visited before node19\nnode 15 should be visited before node20\nnode 16 should be visited before node18\nnode 16 should be visited before node25\nnode 16 should be visited before node7\nnode 16 should be visited before node23\nnode 16 should be visited before node13\nnode 16 should be visited before node27\nnode 16 should be visited before node19\nnode 16 should be visited before node1\nnode 17 should be visited before node0\nnode 17 should be visited before node3\nnode 17 should be visited before node2\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node25\nnode 17 should be visited before node24\nnode 17 should be visited before node9\nnode 17 should be visited before node14\nnode 17 should be visited before node10\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 17 should be visited before node6\nnode 17 should be visited before node27\nnode 17 should be visited before node19\nnode 17 should be visited before node1\nnode 17 should be visited before node4\nnode 18 should be visited before node25\nnode 18 should be visited before node9\nnode 18 should be visited before node21\nnode 18 should be visited before node11\nnode 18 should be visited before node15\nnode 18 should be visited before node23\nnode 18 should be visited before node22\nnode 18 should be visited before node13\nnode 18 should be visited before node27\nnode 18 should be visited before node20\nnode 18 should be visited before node4\nnode 19 should be visited before node4\nnode 21 should be visited before node11\nnode 21 should be visited before node13\nnode 21 should be visited before node27\nnode 21 should be visited before node19\nnode 21 should be visited before node1\nnode 21 should be visited before node20\nnode 21 should be visited before node4\nnode 22 should be visited before node27\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 23 should be visited before node13\nnode 23 should be visited before node27\nnode 23 should be visited before node19\nnode 23 should be visited before node1\nnode 23 should be visited before node20\nnode 24 should be visited before node9\nnode 24 should be visited before node21\nnode 24 should be visited before node10\nnode 24 should be visited before node7\nnode 24 should be visited before node15\nnode 24 should be visited before node23\nnode 24 should be visited before node6\nnode 24 should be visited before node22\nnode 24 should be visited before node13\nnode 24 should be visited before node27\nnode 24 should be visited before node19\nnode 24 should be visited before node1\nnode 24 should be visited before node20\nnode 24 should be visited before node4\nnode 25 should be visited before node24\nnode 25 should be visited before node9\nnode 25 should be visited before node10\nnode 25 should be visited before node7\nnode 25 should be visited before node23\nnode 25 should be visited before node22\nnode 25 should be visited before node13\nnode 25 should be visited before node19\nnode 25 should be visited before node4\nnode 26 should be visited before node14\nnode 26 should be visited before node11\nnode 26 should be visited before node10\nnode 26 should be visited before node6\nnode 26 should be visited before node12\nnode 26 should be visited before node22\nnode 26 should be visited before node27\nnode 26 should be visited before node1\nnode 26 should be visited before node20\nnode 27 should be visited before node1\nnode 27 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,0,8,3,5,2,16,26,18,14,25,24,9,10,21,6,11,7,15,12,22,23,13,27,19,1,4,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph775",
        "image": "data/topology/graph_visual/hard/graph775.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 0 should be visited before node14\nnode 0 should be visited before node26\nnode 1 should be visited before node20\nnode 2 should be visited before node21\nnode 2 should be visited before node28\nnode 2 should be visited before node31\nnode 2 should be visited before node6\nnode 2 should be visited before node19\nnode 2 should be visited before node22\nnode 2 should be visited before node11\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node4\nnode 3 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node12\nnode 3 should be visited before node20\nnode 3 should be visited before node26\nnode 3 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node5\nnode 6 should be visited before node1\nnode 6 should be visited before node14\nnode 6 should be visited before node20\nnode 6 should be visited before node5\nnode 7 should be visited before node11\nnode 7 should be visited before node14\nnode 7 should be visited before node15\nnode 7 should be visited before node9\nnode 8 should be visited before node25\nnode 8 should be visited before node14\nnode 8 should be visited before node9\nnode 9 should be visited before node26\nnode 10 should be visited before node16\nnode 10 should be visited before node27\nnode 10 should be visited before node11\nnode 10 should be visited before node1\nnode 10 should be visited before node25\nnode 10 should be visited before node9\nnode 10 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node25\nnode 11 should be visited before node14\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 12 should be visited before node5\nnode 13 should be visited before node18\nnode 13 should be visited before node29\nnode 13 should be visited before node1\nnode 13 should be visited before node14\nnode 13 should be visited before node9\nnode 13 should be visited before node4\nnode 13 should be visited before node26\nnode 14 should be visited before node5\nnode 15 should be visited before node12\nnode 16 should be visited before node27\nnode 16 should be visited before node31\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node22\nnode 16 should be visited before node25\nnode 16 should be visited before node9\nnode 16 should be visited before node4\nnode 17 should be visited before node2\nnode 17 should be visited before node3\nnode 17 should be visited before node0\nnode 17 should be visited before node31\nnode 17 should be visited before node19\nnode 17 should be visited before node8\nnode 17 should be visited before node1\nnode 17 should be visited before node12\nnode 17 should be visited before node20\nnode 18 should be visited before node24\nnode 18 should be visited before node30\nnode 18 should be visited before node3\nnode 18 should be visited before node6\nnode 18 should be visited before node7\nnode 18 should be visited before node26\nnode 19 should be visited before node4\nnode 19 should be visited before node12\nnode 21 should be visited before node11\nnode 21 should be visited before node8\nnode 21 should be visited before node12\nnode 22 should be visited before node11\nnode 22 should be visited before node25\nnode 22 should be visited before node9\nnode 22 should be visited before node4\nnode 22 should be visited before node26\nnode 23 should be visited before node0\nnode 23 should be visited before node19\nnode 23 should be visited before node22\nnode 23 should be visited before node8\nnode 23 should be visited before node26\nnode 23 should be visited before node5\nnode 24 should be visited before node23\nnode 24 should be visited before node3\nnode 24 should be visited before node10\nnode 24 should be visited before node31\nnode 24 should be visited before node14\nnode 25 should be visited before node9\nnode 25 should be visited before node4\nnode 25 should be visited before node5\nnode 27 should be visited before node1\nnode 27 should be visited before node20\nnode 28 should be visited before node16\nnode 28 should be visited before node31\nnode 28 should be visited before node19\nnode 28 should be visited before node1\nnode 28 should be visited before node25\nnode 28 should be visited before node4\nnode 28 should be visited before node5\nnode 29 should be visited before node24\nnode 29 should be visited before node2\nnode 29 should be visited before node23\nnode 29 should be visited before node30\nnode 29 should be visited before node3\nnode 29 should be visited before node16\nnode 29 should be visited before node31\nnode 29 should be visited before node19\nnode 29 should be visited before node22\nnode 29 should be visited before node14\nnode 29 should be visited before node4\nnode 29 should be visited before node12\nnode 29 should be visited before node20\nnode 30 should be visited before node28\nnode 30 should be visited before node0\nnode 30 should be visited before node10\nnode 30 should be visited before node16\nnode 30 should be visited before node27\nnode 30 should be visited before node31\nnode 30 should be visited before node6\nnode 30 should be visited before node9\nnode 30 should be visited before node4\nnode 30 should be visited before node20\nnode 30 should be visited before node26\nnode 31 should be visited before node6\nnode 31 should be visited before node7\nnode 31 should be visited before node8\nnode 31 should be visited before node15\nnode 31 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,17,18,29,24,2,30,23,3,21,28,10,0,16,27,31,19,22,6,7,8,11,15,1,25,14,20,9,4,26,12,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph315",
        "image": "data/topology/graph_visual/hard/graph315.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node22\nnode 0 should be visited before node5\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node19\nnode 1 should be visited before node20\nnode 1 should be visited before node5\nnode 1 should be visited before node25\nnode 1 should be visited before node21\nnode 1 should be visited before node27\nnode 2 should be visited before node1\nnode 2 should be visited before node13\nnode 2 should be visited before node17\nnode 2 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node16\nnode 2 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node5\nnode 2 should be visited before node21\nnode 2 should be visited before node27\nnode 2 should be visited before node24\nnode 3 should be visited before node16\nnode 3 should be visited before node6\nnode 3 should be visited before node25\nnode 3 should be visited before node21\nnode 3 should be visited before node27\nnode 3 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node17\nnode 4 should be visited before node3\nnode 4 should be visited before node16\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node22\nnode 4 should be visited before node19\nnode 4 should be visited before node5\nnode 4 should be visited before node24\nnode 4 should be visited before node14\nnode 5 should be visited before node25\nnode 5 should be visited before node27\nnode 6 should be visited before node22\nnode 6 should be visited before node19\nnode 6 should be visited before node20\nnode 6 should be visited before node5\nnode 6 should be visited before node27\nnode 6 should be visited before node24\nnode 6 should be visited before node14\nnode 7 should be visited before node17\nnode 7 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node19\nnode 7 should be visited before node25\nnode 7 should be visited before node27\nnode 8 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node18\nnode 8 should be visited before node15\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node22\nnode 8 should be visited before node20\nnode 8 should be visited before node5\nnode 8 should be visited before node21\nnode 8 should be visited before node27\nnode 8 should be visited before node24\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node18\nnode 9 should be visited before node3\nnode 9 should be visited before node16\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node22\nnode 9 should be visited before node19\nnode 9 should be visited before node20\nnode 9 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 10 should be visited before node17\nnode 10 should be visited before node15\nnode 10 should be visited before node0\nnode 10 should be visited before node20\nnode 10 should be visited before node25\nnode 10 should be visited before node21\nnode 10 should be visited before node27\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node1\nnode 11 should be visited before node7\nnode 11 should be visited before node18\nnode 11 should be visited before node15\nnode 11 should be visited before node0\nnode 11 should be visited before node20\nnode 11 should be visited before node27\nnode 11 should be visited before node14\nnode 12 should be visited before node13\nnode 12 should be visited before node17\nnode 12 should be visited before node18\nnode 12 should be visited before node15\nnode 12 should be visited before node16\nnode 12 should be visited before node6\nnode 12 should be visited before node0\nnode 12 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node24\nnode 13 should be visited before node3\nnode 13 should be visited before node22\nnode 13 should be visited before node19\nnode 13 should be visited before node20\nnode 13 should be visited before node5\nnode 13 should be visited before node25\nnode 13 should be visited before node21\nnode 13 should be visited before node27\nnode 13 should be visited before node14\nnode 15 should be visited before node16\nnode 15 should be visited before node6\nnode 15 should be visited before node22\nnode 15 should be visited before node19\nnode 15 should be visited before node20\nnode 15 should be visited before node25\nnode 16 should be visited before node6\nnode 16 should be visited before node22\nnode 16 should be visited before node5\nnode 16 should be visited before node25\nnode 16 should be visited before node21\nnode 16 should be visited before node27\nnode 16 should be visited before node14\nnode 17 should be visited before node18\nnode 17 should be visited before node16\nnode 17 should be visited before node22\nnode 17 should be visited before node5\nnode 17 should be visited before node27\nnode 17 should be visited before node24\nnode 17 should be visited before node14\nnode 18 should be visited before node3\nnode 18 should be visited before node16\nnode 18 should be visited before node6\nnode 18 should be visited before node0\nnode 18 should be visited before node22\nnode 18 should be visited before node19\nnode 18 should be visited before node20\nnode 18 should be visited before node27\nnode 18 should be visited before node24\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node14\nnode 20 should be visited before node25\nnode 20 should be visited before node21\nnode 20 should be visited before node24\nnode 20 should be visited before node14\nnode 21 should be visited before node24\nnode 21 should be visited before node14\nnode 22 should be visited before node19\nnode 22 should be visited before node20\nnode 22 should be visited before node5\nnode 22 should be visited before node21\nnode 22 should be visited before node27\nnode 22 should be visited before node24\nnode 22 should be visited before node14\nnode 23 should be visited before node8\nnode 23 should be visited before node2\nnode 23 should be visited before node4\nnode 23 should be visited before node12\nnode 23 should be visited before node7\nnode 23 should be visited before node18\nnode 23 should be visited before node16\nnode 23 should be visited before node6\nnode 23 should be visited before node22\nnode 23 should be visited before node27\nnode 23 should be visited before node14\nnode 24 should be visited before node14\nnode 25 should be visited before node14\nnode 26 should be visited before node8\nnode 26 should be visited before node4\nnode 26 should be visited before node10\nnode 26 should be visited before node12\nnode 26 should be visited before node1\nnode 26 should be visited before node7\nnode 26 should be visited before node3\nnode 26 should be visited before node0\nnode 26 should be visited before node19\nnode 26 should be visited before node5\nnode 26 should be visited before node27\nnode 26 should be visited before node24\nnode 26 should be visited before node14\nnode 27 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,23,26,8,12,11,2,4,10,1,7,15,13,17,18,3,0,16,6,22,19,20,5,21,25,27,24,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph123",
        "image": "data/topology/graph_visual/hard/graph123.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node18\nnode 1 should be visited before node23\nnode 1 should be visited before node17\nnode 1 should be visited before node0\nnode 1 should be visited before node18\nnode 1 should be visited before node2\nnode 3 should be visited before node13\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 3 should be visited before node24\nnode 3 should be visited before node0\nnode 4 should be visited before node23\nnode 4 should be visited before node19\nnode 4 should be visited before node17\nnode 4 should be visited before node16\nnode 5 should be visited before node4\nnode 5 should be visited before node15\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node16\nnode 6 should be visited before node16\nnode 7 should be visited before node15\nnode 7 should be visited before node24\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node14\nnode 8 should be visited before node5\nnode 8 should be visited before node10\nnode 8 should be visited before node22\nnode 8 should be visited before node25\nnode 8 should be visited before node24\nnode 8 should be visited before node0\nnode 8 should be visited before node16\nnode 9 should be visited before node26\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 9 should be visited before node23\nnode 9 should be visited before node17\nnode 9 should be visited before node18\nnode 9 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node14\nnode 10 should be visited before node2\nnode 11 should be visited before node15\nnode 11 should be visited before node23\nnode 11 should be visited before node19\nnode 11 should be visited before node24\nnode 11 should be visited before node17\nnode 11 should be visited before node18\nnode 11 should be visited before node6\nnode 11 should be visited before node2\nnode 12 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node8\nnode 12 should be visited before node15\nnode 12 should be visited before node22\nnode 12 should be visited before node19\nnode 12 should be visited before node24\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node10\nnode 13 should be visited before node19\nnode 13 should be visited before node24\nnode 13 should be visited before node18\nnode 13 should be visited before node2\nnode 15 should be visited before node19\nnode 15 should be visited before node16\nnode 15 should be visited before node2\nnode 17 should be visited before node2\nnode 18 should be visited before node6\nnode 18 should be visited before node16\nnode 18 should be visited before node2\nnode 19 should be visited before node17\nnode 19 should be visited before node18\nnode 19 should be visited before node2\nnode 20 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node4\nnode 20 should be visited before node7\nnode 20 should be visited before node24\nnode 20 should be visited before node0\nnode 20 should be visited before node16\nnode 21 should be visited before node3\nnode 21 should be visited before node9\nnode 21 should be visited before node7\nnode 21 should be visited before node24\nnode 21 should be visited before node17\nnode 21 should be visited before node16\nnode 21 should be visited before node2\nnode 22 should be visited before node25\nnode 22 should be visited before node6\nnode 22 should be visited before node2\nnode 23 should be visited before node19\nnode 23 should be visited before node18\nnode 23 should be visited before node6\nnode 23 should be visited before node16\nnode 23 should be visited before node2\nnode 25 should be visited before node24\nnode 25 should be visited before node0\nnode 25 should be visited before node6\nnode 25 should be visited before node16\nnode 25 should be visited before node2\nnode 26 should be visited before node8\nnode 26 should be visited before node4\nnode 26 should be visited before node23\nnode 26 should be visited before node17\nnode 26 should be visited before node0\nnode 26 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,20,21,12,1,3,9,13,26,7,8,5,10,22,4,15,14,25,23,24,0,19,17,18,6,2,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph426",
        "image": "data/topology/graph_visual/hard/graph426.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node7\nnode 0 should be visited before node16\nnode 0 should be visited before node26\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 0 should be visited before node10\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 0 should be visited before node5\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node18\nnode 1 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 3 should be visited before node2\nnode 4 should be visited before node19\nnode 4 should be visited before node22\nnode 4 should be visited before node2\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 5 should be visited before node3\nnode 6 should be visited before node3\nnode 6 should be visited before node22\nnode 6 should be visited before node2\nnode 7 should be visited before node16\nnode 7 should be visited before node8\nnode 7 should be visited before node26\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 7 should be visited before node18\nnode 7 should be visited before node20\nnode 7 should be visited before node4\nnode 7 should be visited before node19\nnode 7 should be visited before node11\nnode 7 should be visited before node6\nnode 8 should be visited before node25\nnode 8 should be visited before node26\nnode 8 should be visited before node13\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node17\nnode 8 should be visited before node23\nnode 8 should be visited before node5\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node22\nnode 9 should be visited before node17\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node3\nnode 9 should be visited before node22\nnode 9 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node15\nnode 10 should be visited before node19\nnode 10 should be visited before node11\nnode 10 should be visited before node2\nnode 11 should be visited before node22\nnode 11 should be visited before node2\nnode 12 should be visited before node14\nnode 12 should be visited before node24\nnode 12 should be visited before node27\nnode 12 should be visited before node0\nnode 12 should be visited before node28\nnode 12 should be visited before node16\nnode 12 should be visited before node25\nnode 12 should be visited before node26\nnode 12 should be visited before node13\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node23\nnode 12 should be visited before node4\nnode 12 should be visited before node15\nnode 12 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node6\nnode 13 should be visited before node9\nnode 13 should be visited before node18\nnode 13 should be visited before node20\nnode 13 should be visited before node23\nnode 13 should be visited before node4\nnode 13 should be visited before node19\nnode 13 should be visited before node6\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 14 should be visited before node24\nnode 14 should be visited before node16\nnode 14 should be visited before node8\nnode 14 should be visited before node26\nnode 14 should be visited before node13\nnode 14 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node18\nnode 14 should be visited before node17\nnode 14 should be visited before node23\nnode 14 should be visited before node15\nnode 14 should be visited before node5\nnode 14 should be visited before node11\nnode 14 should be visited before node6\nnode 14 should be visited before node22\nnode 14 should be visited before node2\nnode 15 should be visited before node19\nnode 15 should be visited before node5\nnode 15 should be visited before node11\nnode 15 should be visited before node6\nnode 15 should be visited before node3\nnode 15 should be visited before node22\nnode 16 should be visited before node25\nnode 16 should be visited before node26\nnode 16 should be visited before node10\nnode 16 should be visited before node20\nnode 16 should be visited before node23\nnode 16 should be visited before node4\nnode 16 should be visited before node5\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node2\nnode 17 should be visited before node23\nnode 17 should be visited before node4\nnode 17 should be visited before node15\nnode 17 should be visited before node19\nnode 17 should be visited before node5\nnode 17 should be visited before node11\nnode 17 should be visited before node22\nnode 17 should be visited before node2\nnode 18 should be visited before node20\nnode 18 should be visited before node17\nnode 18 should be visited before node4\nnode 18 should be visited before node15\nnode 18 should be visited before node3\nnode 18 should be visited before node22\nnode 18 should be visited before node2\nnode 19 should be visited before node5\nnode 19 should be visited before node11\nnode 19 should be visited before node3\nnode 20 should be visited before node19\nnode 20 should be visited before node6\nnode 20 should be visited before node3\nnode 20 should be visited before node22\nnode 20 should be visited before node2\nnode 21 should be visited before node14\nnode 21 should be visited before node28\nnode 21 should be visited before node7\nnode 21 should be visited before node26\nnode 21 should be visited before node13\nnode 21 should be visited before node10\nnode 21 should be visited before node17\nnode 21 should be visited before node23\nnode 21 should be visited before node4\nnode 21 should be visited before node15\nnode 21 should be visited before node5\nnode 21 should be visited before node11\nnode 21 should be visited before node3\nnode 21 should be visited before node22\nnode 21 should be visited before node2\nnode 23 should be visited before node6\nnode 24 should be visited before node0\nnode 24 should be visited before node28\nnode 24 should be visited before node16\nnode 24 should be visited before node8\nnode 24 should be visited before node26\nnode 24 should be visited before node13\nnode 24 should be visited before node1\nnode 24 should be visited before node10\nnode 24 should be visited before node17\nnode 24 should be visited before node15\nnode 24 should be visited before node19\nnode 24 should be visited before node5\nnode 24 should be visited before node11\nnode 24 should be visited before node22\nnode 24 should be visited before node2\nnode 25 should be visited before node26\nnode 25 should be visited before node13\nnode 25 should be visited before node1\nnode 25 should be visited before node10\nnode 25 should be visited before node9\nnode 25 should be visited before node18\nnode 25 should be visited before node20\nnode 25 should be visited before node17\nnode 25 should be visited before node23\nnode 25 should be visited before node15\nnode 25 should be visited before node19\nnode 25 should be visited before node11\nnode 26 should be visited before node1\nnode 26 should be visited before node10\nnode 26 should be visited before node18\nnode 26 should be visited before node20\nnode 26 should be visited before node17\nnode 26 should be visited before node23\nnode 26 should be visited before node19\nnode 26 should be visited before node5\nnode 26 should be visited before node6\nnode 26 should be visited before node3\nnode 26 should be visited before node22\nnode 27 should be visited before node0\nnode 27 should be visited before node28\nnode 27 should be visited before node26\nnode 27 should be visited before node13\nnode 27 should be visited before node10\nnode 27 should be visited before node18\nnode 27 should be visited before node23\nnode 27 should be visited before node4\nnode 27 should be visited before node5\nnode 27 should be visited before node3\nnode 28 should be visited before node16\nnode 28 should be visited before node25\nnode 28 should be visited before node13\nnode 28 should be visited before node10\nnode 28 should be visited before node20\nnode 28 should be visited before node17\nnode 28 should be visited before node15\nnode 28 should be visited before node3\nnode 28 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,21,27,14,24,0,28,7,16,8,25,26,13,1,10,9,18,20,17,23,4,15,19,5,11,6,3,22,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph878",
        "image": "data/topology/graph_visual/hard/graph878.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node29\nnode 1 should be visited before node21\nnode 1 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node27\nnode 1 should be visited before node22\nnode 1 should be visited before node29\nnode 1 should be visited before node5\nnode 1 should be visited before node7\nnode 2 should be visited before node23\nnode 2 should be visited before node18\nnode 2 should be visited before node5\nnode 2 should be visited before node7\nnode 3 should be visited before node32\nnode 3 should be visited before node20\nnode 3 should be visited before node9\nnode 3 should be visited before node16\nnode 3 should be visited before node27\nnode 3 should be visited before node8\nnode 3 should be visited before node22\nnode 3 should be visited before node31\nnode 3 should be visited before node12\nnode 3 should be visited before node5\nnode 4 should be visited before node27\nnode 4 should be visited before node2\nnode 4 should be visited before node30\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node24\nnode 6 should be visited before node20\nnode 6 should be visited before node16\nnode 6 should be visited before node31\nnode 6 should be visited before node23\nnode 6 should be visited before node18\nnode 8 should be visited before node29\nnode 8 should be visited before node12\nnode 8 should be visited before node18\nnode 8 should be visited before node5\nnode 9 should be visited before node27\nnode 9 should be visited before node8\nnode 9 should be visited before node23\nnode 9 should be visited before node18\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 10 should be visited before node21\nnode 10 should be visited before node13\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node17\nnode 10 should be visited before node19\nnode 10 should be visited before node15\nnode 10 should be visited before node3\nnode 10 should be visited before node24\nnode 10 should be visited before node20\nnode 10 should be visited before node7\nnode 11 should be visited before node25\nnode 11 should be visited before node3\nnode 11 should be visited before node24\nnode 11 should be visited before node22\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 12 should be visited before node5\nnode 13 should be visited before node15\nnode 13 should be visited before node28\nnode 13 should be visited before node3\nnode 13 should be visited before node32\nnode 13 should be visited before node27\nnode 13 should be visited before node26\nnode 13 should be visited before node29\nnode 13 should be visited before node2\nnode 13 should be visited before node18\nnode 13 should be visited before node5\nnode 13 should be visited before node7\nnode 14 should be visited before node16\nnode 14 should be visited before node22\nnode 14 should be visited before node29\nnode 14 should be visited before node18\nnode 14 should be visited before node30\nnode 14 should be visited before node5\nnode 15 should be visited before node28\nnode 15 should be visited before node4\nnode 15 should be visited before node9\nnode 15 should be visited before node31\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 17 should be visited before node25\nnode 17 should be visited before node28\nnode 17 should be visited before node4\nnode 17 should be visited before node9\nnode 17 should be visited before node22\nnode 17 should be visited before node12\nnode 17 should be visited before node30\nnode 18 should be visited before node30\nnode 18 should be visited before node5\nnode 19 should be visited before node9\nnode 19 should be visited before node18\nnode 19 should be visited before node5\nnode 20 should be visited before node16\nnode 20 should be visited before node22\nnode 20 should be visited before node29\nnode 20 should be visited before node2\nnode 20 should be visited before node23\nnode 20 should be visited before node7\nnode 21 should be visited before node3\nnode 21 should be visited before node24\nnode 21 should be visited before node4\nnode 21 should be visited before node26\nnode 21 should be visited before node12\nnode 21 should be visited before node2\nnode 21 should be visited before node23\nnode 21 should be visited before node5\nnode 22 should be visited before node31\nnode 22 should be visited before node0\nnode 22 should be visited before node12\nnode 22 should be visited before node7\nnode 23 should be visited before node7\nnode 24 should be visited before node4\nnode 24 should be visited before node20\nnode 24 should be visited before node14\nnode 24 should be visited before node27\nnode 24 should be visited before node29\nnode 24 should be visited before node23\nnode 25 should be visited before node3\nnode 25 should be visited before node4\nnode 25 should be visited before node9\nnode 25 should be visited before node8\nnode 25 should be visited before node22\nnode 25 should be visited before node26\nnode 25 should be visited before node30\nnode 25 should be visited before node5\nnode 26 should be visited before node0\nnode 26 should be visited before node12\nnode 26 should be visited before node2\nnode 27 should be visited before node22\nnode 27 should be visited before node18\nnode 27 should be visited before node30\nnode 27 should be visited before node5\nnode 28 should be visited before node20\nnode 28 should be visited before node0\nnode 28 should be visited before node23\nnode 28 should be visited before node18\nnode 28 should be visited before node30\nnode 28 should be visited before node7\nnode 29 should be visited before node12\nnode 29 should be visited before node23\nnode 29 should be visited before node30\nnode 31 should be visited before node7\nnode 32 should be visited before node26\nnode 32 should be visited before node29\nnode 32 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,10,21,13,6,11,19,15,17,24,25,28,14,3,4,32,20,9,26,16,27,2,8,22,18,31,0,29,12,23,30,5,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph1075",
        "image": "data/topology/graph_visual/hard/graph1075.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node28\nnode 0 should be visited before node27\nnode 0 should be visited before node4\nnode 0 should be visited before node24\nnode 0 should be visited before node14\nnode 0 should be visited before node20\nnode 0 should be visited before node30\nnode 0 should be visited before node9\nnode 0 should be visited before node31\nnode 0 should be visited before node11\nnode 0 should be visited before node13\nnode 1 should be visited before node15\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node31\nnode 1 should be visited before node11\nnode 1 should be visited before node12\nnode 1 should be visited before node13\nnode 2 should be visited before node33\nnode 2 should be visited before node23\nnode 2 should be visited before node0\nnode 2 should be visited before node18\nnode 2 should be visited before node6\nnode 2 should be visited before node29\nnode 2 should be visited before node8\nnode 2 should be visited before node24\nnode 2 should be visited before node16\nnode 2 should be visited before node3\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 3 should be visited before node22\nnode 3 should be visited before node1\nnode 3 should be visited before node15\nnode 3 should be visited before node31\nnode 3 should be visited before node25\nnode 3 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 4 should be visited before node20\nnode 4 should be visited before node22\nnode 4 should be visited before node15\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node31\nnode 4 should be visited before node11\nnode 4 should be visited before node13\nnode 5 should be visited before node33\nnode 5 should be visited before node0\nnode 5 should be visited before node18\nnode 5 should be visited before node28\nnode 5 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node1\nnode 5 should be visited before node15\nnode 5 should be visited before node9\nnode 5 should be visited before node17\nnode 5 should be visited before node31\nnode 5 should be visited before node11\nnode 5 should be visited before node25\nnode 5 should be visited before node12\nnode 5 should be visited before node13\nnode 6 should be visited before node27\nnode 6 should be visited before node29\nnode 6 should be visited before node4\nnode 6 should be visited before node24\nnode 6 should be visited before node14\nnode 6 should be visited before node20\nnode 6 should be visited before node30\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node17\nnode 6 should be visited before node31\nnode 6 should be visited before node19\nnode 6 should be visited before node13\nnode 7 should be visited before node11\nnode 7 should be visited before node25\nnode 7 should be visited before node13\nnode 8 should be visited before node30\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 8 should be visited before node7\nnode 8 should be visited before node19\nnode 8 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node19\nnode 9 should be visited before node11\nnode 9 should be visited before node12\nnode 9 should be visited before node13\nnode 10 should be visited before node25\nnode 10 should be visited before node13\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 12 should be visited before node13\nnode 14 should be visited before node20\nnode 14 should be visited before node1\nnode 14 should be visited before node15\nnode 14 should be visited before node9\nnode 14 should be visited before node17\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 14 should be visited before node31\nnode 14 should be visited before node25\nnode 15 should be visited before node9\nnode 15 should be visited before node17\nnode 15 should be visited before node31\nnode 15 should be visited before node25\nnode 15 should be visited before node13\nnode 16 should be visited before node22\nnode 16 should be visited before node15\nnode 16 should be visited before node17\nnode 16 should be visited before node10\nnode 16 should be visited before node31\nnode 16 should be visited before node19\nnode 17 should be visited before node13\nnode 18 should be visited before node6\nnode 18 should be visited before node28\nnode 18 should be visited before node24\nnode 18 should be visited before node14\nnode 18 should be visited before node3\nnode 18 should be visited before node22\nnode 18 should be visited before node9\nnode 18 should be visited before node17\nnode 18 should be visited before node11\nnode 18 should be visited before node12\nnode 18 should be visited before node13\nnode 19 should be visited before node25\nnode 19 should be visited before node12\nnode 19 should be visited before node13\nnode 20 should be visited before node30\nnode 20 should be visited before node3\nnode 20 should be visited before node22\nnode 20 should be visited before node9\nnode 20 should be visited before node17\nnode 20 should be visited before node19\nnode 20 should be visited before node11\nnode 21 should be visited before node0\nnode 21 should be visited before node18\nnode 21 should be visited before node6\nnode 21 should be visited before node4\nnode 21 should be visited before node8\nnode 21 should be visited before node16\nnode 21 should be visited before node20\nnode 21 should be visited before node30\nnode 21 should be visited before node3\nnode 21 should be visited before node22\nnode 21 should be visited before node1\nnode 21 should be visited before node15\nnode 21 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node10\nnode 21 should be visited before node31\nnode 21 should be visited before node25\nnode 21 should be visited before node12\nnode 22 should be visited before node15\nnode 22 should be visited before node9\nnode 22 should be visited before node7\nnode 22 should be visited before node11\nnode 22 should be visited before node25\nnode 22 should be visited before node13\nnode 23 should be visited before node0\nnode 23 should be visited before node28\nnode 23 should be visited before node27\nnode 23 should be visited before node4\nnode 23 should be visited before node24\nnode 23 should be visited before node16\nnode 23 should be visited before node20\nnode 23 should be visited before node30\nnode 23 should be visited before node3\nnode 23 should be visited before node22\nnode 23 should be visited before node15\nnode 23 should be visited before node9\nnode 23 should be visited before node17\nnode 23 should be visited before node7\nnode 23 should be visited before node19\nnode 23 should be visited before node25\nnode 23 should be visited before node12\nnode 24 should be visited before node16\nnode 24 should be visited before node20\nnode 24 should be visited before node30\nnode 24 should be visited before node22\nnode 24 should be visited before node17\nnode 24 should be visited before node31\nnode 24 should be visited before node25\nnode 24 should be visited before node12\nnode 24 should be visited before node13\nnode 25 should be visited before node13\nnode 26 should be visited before node33\nnode 26 should be visited before node23\nnode 26 should be visited before node0\nnode 26 should be visited before node6\nnode 26 should be visited before node28\nnode 26 should be visited before node27\nnode 26 should be visited before node29\nnode 26 should be visited before node4\nnode 26 should be visited before node20\nnode 26 should be visited before node30\nnode 26 should be visited before node3\nnode 26 should be visited before node1\nnode 26 should be visited before node9\nnode 26 should be visited before node17\nnode 26 should be visited before node10\nnode 26 should be visited before node31\nnode 26 should be visited before node12\nnode 26 should be visited before node13\nnode 27 should be visited before node8\nnode 27 should be visited before node14\nnode 27 should be visited before node20\nnode 27 should be visited before node30\nnode 27 should be visited before node3\nnode 27 should be visited before node1\nnode 27 should be visited before node15\nnode 27 should be visited before node17\nnode 27 should be visited before node7\nnode 27 should be visited before node10\nnode 27 should be visited before node19\nnode 28 should be visited before node27\nnode 28 should be visited before node24\nnode 28 should be visited before node16\nnode 28 should be visited before node3\nnode 28 should be visited before node15\nnode 28 should be visited before node9\nnode 28 should be visited before node17\nnode 28 should be visited before node31\nnode 28 should be visited before node12\nnode 29 should be visited before node4\nnode 29 should be visited before node24\nnode 29 should be visited before node20\nnode 29 should be visited before node30\nnode 29 should be visited before node22\nnode 29 should be visited before node1\nnode 29 should be visited before node15\nnode 29 should be visited before node9\nnode 29 should be visited before node7\nnode 29 should be visited before node10\nnode 29 should be visited before node31\nnode 29 should be visited before node12\nnode 29 should be visited before node13\nnode 30 should be visited before node3\nnode 30 should be visited before node22\nnode 30 should be visited before node15\nnode 30 should be visited before node9\nnode 30 should be visited before node17\nnode 30 should be visited before node7\nnode 30 should be visited before node10\nnode 30 should be visited before node11\nnode 30 should be visited before node25\nnode 30 should be visited before node13\nnode 31 should be visited before node11\nnode 32 should be visited before node0\nnode 32 should be visited before node18\nnode 32 should be visited before node27\nnode 32 should be visited before node29\nnode 32 should be visited before node24\nnode 32 should be visited before node16\nnode 32 should be visited before node20\nnode 32 should be visited before node30\nnode 32 should be visited before node9\nnode 32 should be visited before node10\nnode 32 should be visited before node31\nnode 32 should be visited before node19\nnode 33 should be visited before node23\nnode 33 should be visited before node18\nnode 33 should be visited before node28\nnode 33 should be visited before node24\nnode 33 should be visited before node16\nnode 33 should be visited before node20\nnode 33 should be visited before node30\nnode 33 should be visited before node7\nnode 33 should be visited before node10\nnode 33 should be visited before node31\nnode 33 should be visited before node25\nnode 33 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,21,26,32,33,23,18,0,6,28,29,27,4,24,8,14,16,20,30,3,22,1,15,10,9,17,31,7,19,11,25,12,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph87",
        "image": "data/topology/graph_visual/hard/graph87.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node24\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 0 should be visited before node7\nnode 0 should be visited before node9\nnode 0 should be visited before node1\nnode 0 should be visited before node22\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node25\nnode 0 should be visited before node16\nnode 0 should be visited before node6\nnode 0 should be visited before node12\nnode 1 should be visited before node22\nnode 1 should be visited before node3\nnode 1 should be visited before node8\nnode 1 should be visited before node15\nnode 1 should be visited before node25\nnode 1 should be visited before node20\nnode 1 should be visited before node12\nnode 2 should be visited before node11\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node25\nnode 2 should be visited before node17\nnode 3 should be visited before node6\nnode 3 should be visited before node12\nnode 4 should be visited before node20\nnode 4 should be visited before node17\nnode 5 should be visited before node10\nnode 5 should be visited before node13\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node4\nnode 5 should be visited before node25\nnode 5 should be visited before node20\nnode 5 should be visited before node16\nnode 5 should be visited before node6\nnode 6 should be visited before node12\nnode 7 should be visited before node1\nnode 7 should be visited before node22\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node25\nnode 7 should be visited before node17\nnode 8 should be visited before node15\nnode 8 should be visited before node4\nnode 8 should be visited before node25\nnode 8 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node15\nnode 9 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node12\nnode 10 should be visited before node9\nnode 10 should be visited before node1\nnode 10 should be visited before node22\nnode 10 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node20\nnode 10 should be visited before node16\nnode 10 should be visited before node6\nnode 10 should be visited before node17\nnode 11 should be visited before node13\nnode 11 should be visited before node1\nnode 11 should be visited before node22\nnode 11 should be visited before node3\nnode 11 should be visited before node20\nnode 11 should be visited before node6\nnode 11 should be visited before node12\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 13 should be visited before node1\nnode 13 should be visited before node15\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node6\nnode 13 should be visited before node12\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node22\nnode 14 should be visited before node8\nnode 14 should be visited before node25\nnode 14 should be visited before node20\nnode 14 should be visited before node16\nnode 15 should be visited before node4\nnode 15 should be visited before node16\nnode 15 should be visited before node12\nnode 16 should be visited before node6\nnode 16 should be visited before node17\nnode 16 should be visited before node12\nnode 18 should be visited before node23\nnode 18 should be visited before node19\nnode 18 should be visited before node0\nnode 18 should be visited before node2\nnode 18 should be visited before node11\nnode 18 should be visited before node10\nnode 18 should be visited before node13\nnode 18 should be visited before node9\nnode 18 should be visited before node8\nnode 18 should be visited before node20\nnode 18 should be visited before node16\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 19 should be visited before node11\nnode 19 should be visited before node10\nnode 19 should be visited before node7\nnode 19 should be visited before node3\nnode 19 should be visited before node8\nnode 19 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node16\nnode 19 should be visited before node6\nnode 19 should be visited before node12\nnode 20 should be visited before node6\nnode 20 should be visited before node17\nnode 20 should be visited before node12\nnode 21 should be visited before node23\nnode 21 should be visited before node19\nnode 21 should be visited before node24\nnode 21 should be visited before node14\nnode 21 should be visited before node5\nnode 21 should be visited before node9\nnode 21 should be visited before node1\nnode 21 should be visited before node22\nnode 21 should be visited before node15\nnode 21 should be visited before node4\nnode 21 should be visited before node25\nnode 21 should be visited before node17\nnode 22 should be visited before node15\nnode 22 should be visited before node16\nnode 22 should be visited before node6\nnode 23 should be visited before node19\nnode 23 should be visited before node0\nnode 23 should be visited before node24\nnode 23 should be visited before node14\nnode 23 should be visited before node11\nnode 23 should be visited before node13\nnode 23 should be visited before node8\nnode 23 should be visited before node15\nnode 23 should be visited before node20\nnode 23 should be visited before node16\nnode 23 should be visited before node17\nnode 23 should be visited before node12\nnode 24 should be visited before node11\nnode 24 should be visited before node10\nnode 24 should be visited before node7\nnode 24 should be visited before node15\nnode 24 should be visited before node25\nnode 24 should be visited before node16\nnode 24 should be visited before node17\nnode 25 should be visited before node16\nnode 25 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "18,21,2,23,19,0,14,24,5,11,10,13,7,9,1,22,3,8,15,25,4,16,20,6,17,12."
            }
        ]
    },
    {
        "id": "topology-hard-graph1037",
        "image": "data/topology/graph_visual/hard/graph1037.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node24\nnode 0 should be visited before node30\nnode 0 should be visited before node6\nnode 0 should be visited before node18\nnode 0 should be visited before node15\nnode 0 should be visited before node25\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 0 should be visited before node4\nnode 0 should be visited before node10\nnode 0 should be visited before node3\nnode 1 should be visited before node27\nnode 1 should be visited before node22\nnode 1 should be visited before node13\nnode 1 should be visited before node33\nnode 1 should be visited before node32\nnode 2 should be visited before node18\nnode 2 should be visited before node15\nnode 2 should be visited before node25\nnode 2 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node32\nnode 2 should be visited before node10\nnode 2 should be visited before node21\nnode 4 should be visited before node32\nnode 4 should be visited before node3\nnode 5 should be visited before node8\nnode 5 should be visited before node31\nnode 5 should be visited before node11\nnode 5 should be visited before node24\nnode 5 should be visited before node2\nnode 5 should be visited before node30\nnode 5 should be visited before node18\nnode 5 should be visited before node17\nnode 5 should be visited before node25\nnode 5 should be visited before node28\nnode 5 should be visited before node26\nnode 5 should be visited before node7\nnode 5 should be visited before node14\nnode 5 should be visited before node33\nnode 5 should be visited before node4\nnode 5 should be visited before node21\nnode 5 should be visited before node3\nnode 6 should be visited before node18\nnode 6 should be visited before node15\nnode 6 should be visited before node26\nnode 6 should be visited before node29\nnode 6 should be visited before node7\nnode 6 should be visited before node14\nnode 6 should be visited before node4\nnode 6 should be visited before node32\nnode 6 should be visited before node10\nnode 7 should be visited before node14\nnode 7 should be visited before node27\nnode 7 should be visited before node33\nnode 7 should be visited before node32\nnode 7 should be visited before node10\nnode 7 should be visited before node21\nnode 8 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node0\nnode 8 should be visited before node24\nnode 8 should be visited before node30\nnode 8 should be visited before node16\nnode 8 should be visited before node17\nnode 8 should be visited before node25\nnode 8 should be visited before node28\nnode 8 should be visited before node29\nnode 8 should be visited before node7\nnode 8 should be visited before node14\nnode 8 should be visited before node22\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 8 should be visited before node21\nnode 9 should be visited before node32\nnode 9 should be visited before node21\nnode 9 should be visited before node3\nnode 11 should be visited before node2\nnode 11 should be visited before node30\nnode 11 should be visited before node6\nnode 11 should be visited before node16\nnode 11 should be visited before node18\nnode 11 should be visited before node17\nnode 11 should be visited before node28\nnode 11 should be visited before node26\nnode 11 should be visited before node1\nnode 11 should be visited before node22\nnode 11 should be visited before node4\nnode 11 should be visited before node32\nnode 11 should be visited before node10\nnode 11 should be visited before node21\nnode 12 should be visited before node20\nnode 12 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node18\nnode 12 should be visited before node15\nnode 12 should be visited before node25\nnode 12 should be visited before node28\nnode 12 should be visited before node7\nnode 12 should be visited before node14\nnode 12 should be visited before node22\nnode 12 should be visited before node13\nnode 12 should be visited before node33\nnode 12 should be visited before node9\nnode 14 should be visited before node1\nnode 14 should be visited before node22\nnode 14 should be visited before node13\nnode 14 should be visited before node33\nnode 14 should be visited before node9\nnode 14 should be visited before node4\nnode 15 should be visited before node26\nnode 15 should be visited before node14\nnode 15 should be visited before node22\nnode 15 should be visited before node9\nnode 15 should be visited before node4\nnode 15 should be visited before node32\nnode 15 should be visited before node10\nnode 15 should be visited before node21\nnode 16 should be visited before node17\nnode 16 should be visited before node15\nnode 16 should be visited before node28\nnode 16 should be visited before node29\nnode 16 should be visited before node1\nnode 16 should be visited before node27\nnode 16 should be visited before node13\nnode 16 should be visited before node9\nnode 16 should be visited before node10\nnode 16 should be visited before node3\nnode 17 should be visited before node15\nnode 17 should be visited before node28\nnode 17 should be visited before node29\nnode 17 should be visited before node7\nnode 17 should be visited before node1\nnode 17 should be visited before node22\nnode 17 should be visited before node13\nnode 17 should be visited before node33\nnode 17 should be visited before node9\nnode 17 should be visited before node32\nnode 17 should be visited before node10\nnode 17 should be visited before node21\nnode 18 should be visited before node28\nnode 18 should be visited before node26\nnode 18 should be visited before node29\nnode 18 should be visited before node1\nnode 18 should be visited before node13\nnode 18 should be visited before node9\nnode 18 should be visited before node10\nnode 18 should be visited before node21\nnode 19 should be visited before node8\nnode 19 should be visited before node31\nnode 19 should be visited before node11\nnode 19 should be visited before node0\nnode 19 should be visited before node30\nnode 19 should be visited before node15\nnode 19 should be visited before node25\nnode 19 should be visited before node28\nnode 19 should be visited before node26\nnode 19 should be visited before node7\nnode 19 should be visited before node14\nnode 19 should be visited before node1\nnode 19 should be visited before node22\nnode 19 should be visited before node13\nnode 19 should be visited before node33\nnode 19 should be visited before node4\nnode 19 should be visited before node21\nnode 20 should be visited before node2\nnode 20 should be visited before node30\nnode 20 should be visited before node17\nnode 20 should be visited before node15\nnode 20 should be visited before node27\nnode 20 should be visited before node22\nnode 20 should be visited before node13\nnode 20 should be visited before node9\nnode 20 should be visited before node32\nnode 20 should be visited before node21\nnode 20 should be visited before node3\nnode 22 should be visited before node9\nnode 22 should be visited before node4\nnode 22 should be visited before node10\nnode 22 should be visited before node21\nnode 22 should be visited before node3\nnode 23 should be visited before node12\nnode 23 should be visited before node31\nnode 23 should be visited before node24\nnode 23 should be visited before node2\nnode 23 should be visited before node6\nnode 23 should be visited before node16\nnode 23 should be visited before node28\nnode 23 should be visited before node14\nnode 23 should be visited before node22\nnode 23 should be visited before node13\nnode 23 should be visited before node33\nnode 23 should be visited before node9\nnode 23 should be visited before node4\nnode 23 should be visited before node10\nnode 23 should be visited before node21\nnode 24 should be visited before node6\nnode 24 should be visited before node16\nnode 24 should be visited before node17\nnode 24 should be visited before node15\nnode 24 should be visited before node25\nnode 24 should be visited before node28\nnode 24 should be visited before node7\nnode 24 should be visited before node14\nnode 24 should be visited before node1\nnode 24 should be visited before node22\nnode 24 should be visited before node13\nnode 24 should be visited before node33\nnode 24 should be visited before node9\nnode 24 should be visited before node4\nnode 24 should be visited before node32\nnode 25 should be visited before node28\nnode 25 should be visited before node7\nnode 25 should be visited before node14\nnode 25 should be visited before node1\nnode 25 should be visited before node27\nnode 25 should be visited before node22\nnode 25 should be visited before node13\nnode 25 should be visited before node9\nnode 25 should be visited before node4\nnode 25 should be visited before node32\nnode 25 should be visited before node21\nnode 26 should be visited before node29\nnode 26 should be visited before node7\nnode 26 should be visited before node27\nnode 26 should be visited before node13\nnode 26 should be visited before node33\nnode 26 should be visited before node9\nnode 26 should be visited before node32\nnode 26 should be visited before node21\nnode 26 should be visited before node3\nnode 27 should be visited before node22\nnode 27 should be visited before node13\nnode 27 should be visited before node4\nnode 27 should be visited before node10\nnode 28 should be visited before node7\nnode 28 should be visited before node27\nnode 28 should be visited before node22\nnode 28 should be visited before node13\nnode 28 should be visited before node4\nnode 28 should be visited before node10\nnode 29 should be visited before node7\nnode 29 should be visited before node1\nnode 29 should be visited before node13\nnode 29 should be visited before node9\nnode 29 should be visited before node4\nnode 29 should be visited before node10\nnode 30 should be visited before node6\nnode 30 should be visited before node17\nnode 30 should be visited before node15\nnode 30 should be visited before node25\nnode 30 should be visited before node28\nnode 30 should be visited before node7\nnode 30 should be visited before node4\nnode 30 should be visited before node10\nnode 30 should be visited before node3\nnode 31 should be visited before node11\nnode 31 should be visited before node20\nnode 31 should be visited before node2\nnode 31 should be visited before node16\nnode 31 should be visited before node25\nnode 31 should be visited before node29\nnode 31 should be visited before node7\nnode 31 should be visited before node22\nnode 31 should be visited before node13\nnode 31 should be visited before node33\nnode 31 should be visited before node4\nnode 31 should be visited before node3\nnode 32 should be visited before node21\nnode 32 should be visited before node3\nnode 33 should be visited before node4\nnode 33 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,19,23,8,12,31,0,11,20,24,2,30,16,6,25,17,18,15,28,26,29,7,14,1,27,33,22,13,9,4,10,32,21,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph287",
        "image": "data/topology/graph_visual/hard/graph287.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 0 should be visited before node27\nnode 1 should be visited before node8\nnode 2 should be visited before node22\nnode 2 should be visited before node13\nnode 2 should be visited before node3\nnode 2 should be visited before node24\nnode 2 should be visited before node0\nnode 2 should be visited before node27\nnode 2 should be visited before node8\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node20\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node24\nnode 4 should be visited before node0\nnode 4 should be visited before node19\nnode 4 should be visited before node1\nnode 4 should be visited before node8\nnode 4 should be visited before node20\nnode 5 should be visited before node19\nnode 5 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node20\nnode 6 should be visited before node24\nnode 6 should be visited before node0\nnode 7 should be visited before node27\nnode 7 should be visited before node8\nnode 9 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node22\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node27\nnode 10 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node18\nnode 10 should be visited before node24\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node27\nnode 10 should be visited before node20\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 11 should be visited before node0\nnode 11 should be visited before node5\nnode 11 should be visited before node1\nnode 12 should be visited before node2\nnode 12 should be visited before node14\nnode 12 should be visited before node10\nnode 12 should be visited before node24\nnode 12 should be visited before node0\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node23\nnode 12 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node1\nnode 14 should be visited before node22\nnode 14 should be visited before node6\nnode 14 should be visited before node18\nnode 14 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node8\nnode 14 should be visited before node20\nnode 15 should be visited before node11\nnode 15 should be visited before node25\nnode 15 should be visited before node21\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node3\nnode 15 should be visited before node24\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 15 should be visited before node27\nnode 15 should be visited before node23\nnode 16 should be visited before node3\nnode 16 should be visited before node0\nnode 16 should be visited before node5\nnode 16 should be visited before node27\nnode 17 should be visited before node13\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node0\nnode 17 should be visited before node5\nnode 17 should be visited before node7\nnode 17 should be visited before node27\nnode 18 should be visited before node3\nnode 18 should be visited before node24\nnode 18 should be visited before node19\nnode 18 should be visited before node27\nnode 19 should be visited before node27\nnode 19 should be visited before node8\nnode 19 should be visited before node20\nnode 21 should be visited before node3\nnode 21 should be visited before node24\nnode 21 should be visited before node0\nnode 21 should be visited before node5\nnode 21 should be visited before node19\nnode 21 should be visited before node23\nnode 22 should be visited before node6\nnode 22 should be visited before node16\nnode 22 should be visited before node3\nnode 22 should be visited before node7\nnode 22 should be visited before node1\nnode 22 should be visited before node8\nnode 22 should be visited before node20\nnode 23 should be visited before node20\nnode 24 should be visited before node5\nnode 24 should be visited before node7\nnode 25 should be visited before node12\nnode 25 should be visited before node21\nnode 25 should be visited before node22\nnode 25 should be visited before node10\nnode 25 should be visited before node6\nnode 25 should be visited before node24\nnode 25 should be visited before node0\nnode 25 should be visited before node7\nnode 25 should be visited before node1\nnode 25 should be visited before node27\nnode 26 should be visited before node25\nnode 26 should be visited before node12\nnode 26 should be visited before node24\nnode 26 should be visited before node19\nnode 26 should be visited before node23\nnode 27 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,26,15,11,25,17,12,21,2,14,10,23,22,13,4,6,16,18,3,24,0,5,19,7,1,27,8,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph886",
        "image": "data/topology/graph_visual/hard/graph886.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node15\nnode 0 should be visited before node32\nnode 0 should be visited before node19\nnode 0 should be visited before node23\nnode 0 should be visited before node27\nnode 0 should be visited before node9\nnode 0 should be visited before node10\nnode 1 should be visited before node19\nnode 1 should be visited before node5\nnode 1 should be visited before node17\nnode 1 should be visited before node23\nnode 1 should be visited before node21\nnode 1 should be visited before node27\nnode 1 should be visited before node10\nnode 1 should be visited before node30\nnode 2 should be visited before node22\nnode 2 should be visited before node32\nnode 2 should be visited before node4\nnode 2 should be visited before node28\nnode 2 should be visited before node17\nnode 2 should be visited before node23\nnode 2 should be visited before node18\nnode 2 should be visited before node30\nnode 2 should be visited before node29\nnode 3 should be visited before node32\nnode 3 should be visited before node19\nnode 3 should be visited before node9\nnode 3 should be visited before node30\nnode 4 should be visited before node14\nnode 4 should be visited before node1\nnode 4 should be visited before node28\nnode 4 should be visited before node17\nnode 4 should be visited before node23\nnode 4 should be visited before node18\nnode 5 should be visited before node21\nnode 5 should be visited before node18\nnode 5 should be visited before node9\nnode 5 should be visited before node10\nnode 6 should be visited before node4\nnode 6 should be visited before node23\nnode 6 should be visited before node27\nnode 6 should be visited before node10\nnode 6 should be visited before node30\nnode 6 should be visited before node24\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node17\nnode 7 should be visited before node23\nnode 7 should be visited before node21\nnode 7 should be visited before node29\nnode 8 should be visited before node15\nnode 8 should be visited before node26\nnode 8 should be visited before node32\nnode 8 should be visited before node4\nnode 8 should be visited before node28\nnode 8 should be visited before node16\nnode 8 should be visited before node13\nnode 8 should be visited before node18\nnode 8 should be visited before node27\nnode 10 should be visited before node12\nnode 11 should be visited before node17\nnode 11 should be visited before node18\nnode 11 should be visited before node27\nnode 11 should be visited before node10\nnode 11 should be visited before node12\nnode 12 should be visited before node29\nnode 12 should be visited before node20\nnode 12 should be visited before node24\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node27\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node13\nnode 14 should be visited before node11\nnode 14 should be visited before node23\nnode 14 should be visited before node18\nnode 14 should be visited before node9\nnode 14 should be visited before node12\nnode 15 should be visited before node31\nnode 15 should be visited before node6\nnode 15 should be visited before node28\nnode 15 should be visited before node13\nnode 15 should be visited before node23\nnode 15 should be visited before node18\nnode 16 should be visited before node5\nnode 16 should be visited before node21\nnode 16 should be visited before node27\nnode 16 should be visited before node10\nnode 16 should be visited before node30\nnode 17 should be visited before node23\nnode 17 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node12\nnode 17 should be visited before node20\nnode 18 should be visited before node10\nnode 18 should be visited before node12\nnode 19 should be visited before node13\nnode 19 should be visited before node10\nnode 19 should be visited before node30\nnode 19 should be visited before node24\nnode 20 should be visited before node24\nnode 21 should be visited before node12\nnode 21 should be visited before node30\nnode 22 should be visited before node3\nnode 22 should be visited before node6\nnode 22 should be visited before node32\nnode 22 should be visited before node18\nnode 22 should be visited before node27\nnode 22 should be visited before node9\nnode 22 should be visited before node10\nnode 22 should be visited before node20\nnode 22 should be visited before node24\nnode 23 should be visited before node27\nnode 23 should be visited before node10\nnode 23 should be visited before node12\nnode 23 should be visited before node30\nnode 23 should be visited before node20\nnode 25 should be visited before node7\nnode 25 should be visited before node32\nnode 25 should be visited before node1\nnode 25 should be visited before node13\nnode 25 should be visited before node11\nnode 25 should be visited before node18\nnode 25 should be visited before node12\nnode 25 should be visited before node20\nnode 25 should be visited before node24\nnode 26 should be visited before node4\nnode 26 should be visited before node1\nnode 26 should be visited before node27\nnode 26 should be visited before node10\nnode 26 should be visited before node12\nnode 26 should be visited before node20\nnode 26 should be visited before node24\nnode 27 should be visited before node9\nnode 27 should be visited before node30\nnode 28 should be visited before node19\nnode 28 should be visited before node11\nnode 28 should be visited before node17\nnode 28 should be visited before node23\nnode 28 should be visited before node21\nnode 28 should be visited before node10\nnode 28 should be visited before node29\nnode 29 should be visited before node20\nnode 30 should be visited before node20\nnode 31 should be visited before node7\nnode 31 should be visited before node32\nnode 31 should be visited before node1\nnode 31 should be visited before node13\nnode 31 should be visited before node23\nnode 31 should be visited before node9\nnode 31 should be visited before node10\nnode 31 should be visited before node12\nnode 31 should be visited before node30\nnode 31 should be visited before node24\nnode 32 should be visited before node1\nnode 32 should be visited before node9\nnode 32 should be visited before node20\nnode 32 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,8,25,22,15,26,3,31,6,7,32,4,14,1,28,16,19,13,11,5,17,21,18,23,27,10,9,30,12,29,20,24."
            }
        ]
    },
    {
        "id": "topology-hard-graph43",
        "image": "data/topology/graph_visual/hard/graph43.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 1 should be visited before node9\nnode 1 should be visited before node11\nnode 1 should be visited before node23\nnode 1 should be visited before node21\nnode 2 should be visited before node5\nnode 2 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node22\nnode 3 should be visited before node9\nnode 3 should be visited before node23\nnode 3 should be visited before node4\nnode 5 should be visited before node0\nnode 5 should be visited before node15\nnode 5 should be visited before node9\nnode 5 should be visited before node21\nnode 6 should be visited before node2\nnode 6 should be visited before node5\nnode 6 should be visited before node9\nnode 6 should be visited before node21\nnode 8 should be visited before node16\nnode 8 should be visited before node13\nnode 8 should be visited before node18\nnode 8 should be visited before node7\nnode 9 should be visited before node11\nnode 9 should be visited before node23\nnode 10 should be visited before node8\nnode 10 should be visited before node0\nnode 10 should be visited before node21\nnode 10 should be visited before node4\nnode 11 should be visited before node21\nnode 12 should be visited before node19\nnode 12 should be visited before node8\nnode 12 should be visited before node16\nnode 12 should be visited before node6\nnode 12 should be visited before node21\nnode 13 should be visited before node18\nnode 13 should be visited before node3\nnode 13 should be visited before node15\nnode 13 should be visited before node11\nnode 13 should be visited before node23\nnode 14 should be visited before node1\nnode 14 should be visited before node20\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 16 should be visited before node13\nnode 16 should be visited before node18\nnode 16 should be visited before node9\nnode 16 should be visited before node4\nnode 17 should be visited before node10\nnode 17 should be visited before node6\nnode 17 should be visited before node2\nnode 17 should be visited before node3\nnode 17 should be visited before node11\nnode 17 should be visited before node22\nnode 17 should be visited before node21\nnode 18 should be visited before node0\nnode 18 should be visited before node22\nnode 19 should be visited before node16\nnode 19 should be visited before node5\nnode 19 should be visited before node13\nnode 19 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node0\nnode 19 should be visited before node15\nnode 19 should be visited before node11\nnode 19 should be visited before node4\nnode 20 should be visited before node9\nnode 20 should be visited before node23\nnode 20 should be visited before node21\nnode 20 should be visited before node4\nnode 20 should be visited before node7\nnode 21 should be visited before node4\nnode 24 should be visited before node10\nnode 24 should be visited before node8\nnode 24 should be visited before node16\nnode 24 should be visited before node18\nnode 24 should be visited before node3\nnode 24 should be visited before node11\nnode 24 should be visited before node23\nnode 25 should be visited before node24\nnode 25 should be visited before node17\nnode 25 should be visited before node12\nnode 25 should be visited before node1\nnode 25 should be visited before node16\nnode 25 should be visited before node2\nnode 25 should be visited before node0\nnode 25 should be visited before node22\nnode 25 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,25,20,24,17,12,1,10,19,6,8,2,16,7,5,13,18,3,15,0,22,9,11,23,21,4."
            }
        ]
    },
    {
        "id": "topology-hard-graph280",
        "image": "data/topology/graph_visual/hard/graph280.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 2 should be visited before node26\nnode 3 should be visited before node12\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 6 should be visited before node20\nnode 6 should be visited before node15\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 7 should be visited before node23\nnode 8 should be visited before node4\nnode 8 should be visited before node11\nnode 8 should be visited before node18\nnode 8 should be visited before node13\nnode 9 should be visited before node12\nnode 9 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node12\nnode 10 should be visited before node27\nnode 10 should be visited before node11\nnode 10 should be visited before node26\nnode 10 should be visited before node0\nnode 11 should be visited before node18\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 11 should be visited before node5\nnode 12 should be visited before node4\nnode 12 should be visited before node11\nnode 12 should be visited before node18\nnode 12 should be visited before node0\nnode 13 should be visited before node23\nnode 14 should be visited before node25\nnode 14 should be visited before node27\nnode 14 should be visited before node4\nnode 14 should be visited before node7\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 15 should be visited before node8\nnode 15 should be visited before node27\nnode 15 should be visited before node18\nnode 15 should be visited before node26\nnode 15 should be visited before node23\nnode 15 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node11\nnode 16 should be visited before node26\nnode 16 should be visited before node23\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 17 should be visited before node12\nnode 17 should be visited before node11\nnode 17 should be visited before node5\nnode 17 should be visited before node1\nnode 18 should be visited before node13\nnode 18 should be visited before node26\nnode 18 should be visited before node5\nnode 18 should be visited before node1\nnode 19 should be visited before node22\nnode 19 should be visited before node6\nnode 19 should be visited before node8\nnode 19 should be visited before node9\nnode 19 should be visited before node11\nnode 19 should be visited before node0\nnode 20 should be visited before node16\nnode 20 should be visited before node12\nnode 20 should be visited before node18\nnode 20 should be visited before node5\nnode 21 should be visited before node16\nnode 21 should be visited before node12\nnode 21 should be visited before node7\nnode 21 should be visited before node13\nnode 22 should be visited before node14\nnode 22 should be visited before node6\nnode 22 should be visited before node8\nnode 22 should be visited before node4\nnode 22 should be visited before node0\nnode 23 should be visited before node5\nnode 24 should be visited before node22\nnode 24 should be visited before node25\nnode 24 should be visited before node3\nnode 24 should be visited before node16\nnode 24 should be visited before node27\nnode 24 should be visited before node2\nnode 24 should be visited before node7\nnode 24 should be visited before node0\nnode 25 should be visited before node6\nnode 25 should be visited before node3\nnode 25 should be visited before node16\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 25 should be visited before node2\nnode 25 should be visited before node13\nnode 25 should be visited before node0\nnode 25 should be visited before node23\nnode 26 should be visited before node23\nnode 26 should be visited before node1\nnode 27 should be visited before node18\nnode 27 should be visited before node7\nnode 27 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,17,19,21,24,22,14,25,6,3,20,15,9,16,8,27,12,4,11,2,18,7,0,13,26,23,1,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph580",
        "image": "data/topology/graph_visual/hard/graph580.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node7\nnode 0 should be visited before node23\nnode 0 should be visited before node16\nnode 0 should be visited before node8\nnode 1 should be visited before node19\nnode 1 should be visited before node10\nnode 1 should be visited before node25\nnode 1 should be visited before node3\nnode 1 should be visited before node29\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 1 should be visited before node8\nnode 2 should be visited before node24\nnode 2 should be visited before node4\nnode 2 should be visited before node22\nnode 2 should be visited before node18\nnode 2 should be visited before node20\nnode 2 should be visited before node21\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node29\nnode 2 should be visited before node12\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 3 should be visited before node28\nnode 3 should be visited before node12\nnode 3 should be visited before node16\nnode 4 should be visited before node22\nnode 4 should be visited before node11\nnode 4 should be visited before node19\nnode 4 should be visited before node25\nnode 4 should be visited before node0\nnode 4 should be visited before node23\nnode 4 should be visited before node16\nnode 4 should be visited before node15\nnode 4 should be visited before node8\nnode 5 should be visited before node16\nnode 5 should be visited before node15\nnode 6 should be visited before node26\nnode 6 should be visited before node17\nnode 6 should be visited before node21\nnode 6 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 7 should be visited before node23\nnode 7 should be visited before node5\nnode 7 should be visited before node13\nnode 9 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node10\nnode 9 should be visited before node28\nnode 9 should be visited before node12\nnode 9 should be visited before node0\nnode 9 should be visited before node23\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node15\nnode 10 should be visited before node25\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node23\nnode 10 should be visited before node16\nnode 10 should be visited before node13\nnode 10 should be visited before node8\nnode 11 should be visited before node18\nnode 11 should be visited before node20\nnode 11 should be visited before node17\nnode 11 should be visited before node1\nnode 11 should be visited before node25\nnode 11 should be visited before node3\nnode 11 should be visited before node28\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 11 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node13\nnode 14 should be visited before node18\nnode 14 should be visited before node20\nnode 14 should be visited before node19\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node23\nnode 14 should be visited before node5\nnode 14 should be visited before node16\nnode 14 should be visited before node15\nnode 14 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node13\nnode 17 should be visited before node21\nnode 17 should be visited before node1\nnode 17 should be visited before node19\nnode 17 should be visited before node29\nnode 17 should be visited before node12\nnode 17 should be visited before node0\nnode 17 should be visited before node7\nnode 17 should be visited before node23\nnode 17 should be visited before node16\nnode 17 should be visited before node15\nnode 17 should be visited before node8\nnode 18 should be visited before node6\nnode 18 should be visited before node26\nnode 18 should be visited before node20\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 18 should be visited before node28\nnode 18 should be visited before node29\nnode 18 should be visited before node12\nnode 18 should be visited before node23\nnode 18 should be visited before node16\nnode 18 should be visited before node8\nnode 19 should be visited before node10\nnode 19 should be visited before node25\nnode 19 should be visited before node3\nnode 19 should be visited before node7\nnode 19 should be visited before node16\nnode 19 should be visited before node15\nnode 19 should be visited before node13\nnode 20 should be visited before node17\nnode 20 should be visited before node3\nnode 20 should be visited before node7\nnode 20 should be visited before node23\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 20 should be visited before node8\nnode 21 should be visited before node1\nnode 21 should be visited before node19\nnode 21 should be visited before node29\nnode 21 should be visited before node12\nnode 21 should be visited before node0\nnode 21 should be visited before node23\nnode 21 should be visited before node5\nnode 21 should be visited before node13\nnode 22 should be visited before node18\nnode 22 should be visited before node26\nnode 22 should be visited before node21\nnode 22 should be visited before node19\nnode 22 should be visited before node25\nnode 22 should be visited before node28\nnode 22 should be visited before node0\nnode 22 should be visited before node5\nnode 22 should be visited before node8\nnode 23 should be visited before node5\nnode 23 should be visited before node16\nnode 23 should be visited before node15\nnode 23 should be visited before node8\nnode 24 should be visited before node9\nnode 24 should be visited before node21\nnode 24 should be visited before node19\nnode 24 should be visited before node25\nnode 24 should be visited before node3\nnode 24 should be visited before node28\nnode 24 should be visited before node29\nnode 24 should be visited before node7\nnode 25 should be visited before node28\nnode 25 should be visited before node29\nnode 25 should be visited before node0\nnode 25 should be visited before node7\nnode 25 should be visited before node16\nnode 25 should be visited before node8\nnode 26 should be visited before node17\nnode 26 should be visited before node21\nnode 26 should be visited before node1\nnode 26 should be visited before node19\nnode 26 should be visited before node28\nnode 26 should be visited before node29\nnode 26 should be visited before node7\nnode 26 should be visited before node5\nnode 26 should be visited before node8\nnode 27 should be visited before node24\nnode 27 should be visited before node14\nnode 27 should be visited before node4\nnode 27 should be visited before node22\nnode 27 should be visited before node11\nnode 27 should be visited before node18\nnode 27 should be visited before node6\nnode 27 should be visited before node26\nnode 27 should be visited before node21\nnode 27 should be visited before node1\nnode 27 should be visited before node10\nnode 27 should be visited before node25\nnode 27 should be visited before node28\nnode 27 should be visited before node29\nnode 27 should be visited before node16\nnode 27 should be visited before node15\nnode 28 should be visited before node23\nnode 29 should be visited before node7\nnode 29 should be visited before node23\nnode 29 should be visited before node5\nnode 29 should be visited before node16\nnode 29 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,27,24,14,4,9,22,11,18,6,20,26,17,21,1,19,10,3,25,12,28,29,0,7,23,5,8,16,15,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph1057",
        "image": "data/topology/graph_visual/hard/graph1057.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node14\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node17\nnode 1 should be visited before node31\nnode 1 should be visited before node0\nnode 1 should be visited before node13\nnode 1 should be visited before node23\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node33\nnode 1 should be visited before node18\nnode 1 should be visited before node20\nnode 1 should be visited before node7\nnode 2 should be visited before node21\nnode 2 should be visited before node28\nnode 2 should be visited before node19\nnode 2 should be visited before node24\nnode 2 should be visited before node32\nnode 2 should be visited before node16\nnode 2 should be visited before node31\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node33\nnode 2 should be visited before node27\nnode 2 should be visited before node20\nnode 2 should be visited before node7\nnode 3 should be visited before node21\nnode 3 should be visited before node28\nnode 3 should be visited before node10\nnode 3 should be visited before node24\nnode 3 should be visited before node32\nnode 3 should be visited before node14\nnode 3 should be visited before node13\nnode 3 should be visited before node23\nnode 3 should be visited before node4\nnode 3 should be visited before node33\nnode 3 should be visited before node20\nnode 3 should be visited before node7\nnode 3 should be visited before node17\nnode 4 should be visited before node17\nnode 5 should be visited before node21\nnode 5 should be visited before node29\nnode 5 should be visited before node19\nnode 5 should be visited before node32\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node22\nnode 5 should be visited before node18\nnode 5 should be visited before node7\nnode 5 should be visited before node17\nnode 6 should be visited before node33\nnode 6 should be visited before node27\nnode 6 should be visited before node20\nnode 7 should be visited before node17\nnode 8 should be visited before node25\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node15\nnode 8 should be visited before node11\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node21\nnode 8 should be visited before node19\nnode 8 should be visited before node10\nnode 8 should be visited before node24\nnode 8 should be visited before node32\nnode 8 should be visited before node16\nnode 8 should be visited before node6\nnode 8 should be visited before node33\nnode 8 should be visited before node22\nnode 8 should be visited before node27\nnode 8 should be visited before node7\nnode 8 should be visited before node17\nnode 9 should be visited before node11\nnode 9 should be visited before node21\nnode 9 should be visited before node32\nnode 9 should be visited before node1\nnode 9 should be visited before node14\nnode 9 should be visited before node13\nnode 9 should be visited before node23\nnode 9 should be visited before node6\nnode 9 should be visited before node33\nnode 9 should be visited before node7\nnode 10 should be visited before node24\nnode 10 should be visited before node31\nnode 10 should be visited before node14\nnode 10 should be visited before node6\nnode 10 should be visited before node22\nnode 10 should be visited before node7\nnode 10 should be visited before node17\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 11 should be visited before node28\nnode 11 should be visited before node19\nnode 11 should be visited before node24\nnode 11 should be visited before node32\nnode 11 should be visited before node16\nnode 11 should be visited before node1\nnode 11 should be visited before node31\nnode 11 should be visited before node33\nnode 11 should be visited before node22\nnode 11 should be visited before node27\nnode 11 should be visited before node18\nnode 12 should be visited before node10\nnode 12 should be visited before node24\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 12 should be visited before node31\nnode 12 should be visited before node14\nnode 12 should be visited before node23\nnode 12 should be visited before node4\nnode 12 should be visited before node20\nnode 12 should be visited before node17\nnode 13 should be visited before node18\nnode 13 should be visited before node20\nnode 13 should be visited before node7\nnode 13 should be visited before node17\nnode 14 should be visited before node23\nnode 14 should be visited before node27\nnode 14 should be visited before node18\nnode 14 should be visited before node20\nnode 14 should be visited before node7\nnode 14 should be visited before node17\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 15 should be visited before node21\nnode 15 should be visited before node28\nnode 15 should be visited before node19\nnode 15 should be visited before node24\nnode 15 should be visited before node0\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node33\nnode 15 should be visited before node22\nnode 15 should be visited before node27\nnode 15 should be visited before node18\nnode 15 should be visited before node7\nnode 15 should be visited before node17\nnode 16 should be visited before node1\nnode 16 should be visited before node31\nnode 16 should be visited before node14\nnode 16 should be visited before node23\nnode 16 should be visited before node6\nnode 16 should be visited before node33\nnode 16 should be visited before node22\nnode 16 should be visited before node27\nnode 16 should be visited before node7\nnode 16 should be visited before node17\nnode 18 should be visited before node20\nnode 19 should be visited before node10\nnode 19 should be visited before node24\nnode 19 should be visited before node1\nnode 19 should be visited before node31\nnode 19 should be visited before node0\nnode 19 should be visited before node14\nnode 19 should be visited before node6\nnode 19 should be visited before node22\nnode 19 should be visited before node20\nnode 19 should be visited before node17\nnode 20 should be visited before node7\nnode 21 should be visited before node28\nnode 21 should be visited before node24\nnode 21 should be visited before node32\nnode 21 should be visited before node1\nnode 21 should be visited before node0\nnode 21 should be visited before node14\nnode 21 should be visited before node13\nnode 21 should be visited before node6\nnode 21 should be visited before node22\nnode 21 should be visited before node27\nnode 21 should be visited before node18\nnode 21 should be visited before node20\nnode 21 should be visited before node7\nnode 22 should be visited before node17\nnode 23 should be visited before node4\nnode 23 should be visited before node22\nnode 23 should be visited before node7\nnode 24 should be visited before node0\nnode 24 should be visited before node14\nnode 24 should be visited before node13\nnode 24 should be visited before node22\nnode 24 should be visited before node27\nnode 24 should be visited before node20\nnode 25 should be visited before node30\nnode 25 should be visited before node12\nnode 25 should be visited before node15\nnode 25 should be visited before node3\nnode 25 should be visited before node24\nnode 25 should be visited before node1\nnode 25 should be visited before node0\nnode 25 should be visited before node23\nnode 25 should be visited before node18\nnode 26 should be visited before node9\nnode 26 should be visited before node12\nnode 26 should be visited before node11\nnode 26 should be visited before node3\nnode 26 should be visited before node28\nnode 26 should be visited before node19\nnode 26 should be visited before node10\nnode 26 should be visited before node24\nnode 26 should be visited before node16\nnode 26 should be visited before node1\nnode 26 should be visited before node14\nnode 26 should be visited before node13\nnode 26 should be visited before node33\nnode 26 should be visited before node7\nnode 26 should be visited before node17\nnode 27 should be visited before node20\nnode 28 should be visited before node29\nnode 28 should be visited before node19\nnode 28 should be visited before node1\nnode 28 should be visited before node31\nnode 28 should be visited before node0\nnode 28 should be visited before node6\nnode 28 should be visited before node22\nnode 28 should be visited before node27\nnode 28 should be visited before node18\nnode 28 should be visited before node20\nnode 28 should be visited before node7\nnode 28 should be visited before node17\nnode 29 should be visited before node32\nnode 29 should be visited before node16\nnode 29 should be visited before node1\nnode 29 should be visited before node31\nnode 29 should be visited before node0\nnode 29 should be visited before node14\nnode 29 should be visited before node13\nnode 29 should be visited before node4\nnode 29 should be visited before node6\nnode 29 should be visited before node33\nnode 29 should be visited before node22\nnode 29 should be visited before node20\nnode 29 should be visited before node7\nnode 30 should be visited before node11\nnode 30 should be visited before node5\nnode 30 should be visited before node29\nnode 30 should be visited before node19\nnode 30 should be visited before node10\nnode 30 should be visited before node24\nnode 30 should be visited before node16\nnode 30 should be visited before node0\nnode 30 should be visited before node13\nnode 30 should be visited before node23\nnode 30 should be visited before node6\nnode 30 should be visited before node33\nnode 30 should be visited before node27\nnode 30 should be visited before node18\nnode 30 should be visited before node20\nnode 31 should be visited before node13\nnode 31 should be visited before node4\nnode 31 should be visited before node6\nnode 31 should be visited before node22\nnode 31 should be visited before node18\nnode 31 should be visited before node20\nnode 32 should be visited before node16\nnode 32 should be visited before node1\nnode 32 should be visited before node31\nnode 32 should be visited before node23\nnode 32 should be visited before node20\nnode 32 should be visited before node7\nnode 33 should be visited before node27\nnode 33 should be visited before node20\nnode 33 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,26,25,2,9,30,12,15,11,5,3,21,28,29,19,32,10,16,24,1,31,0,13,14,6,23,18,33,4,22,27,20,7,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph707",
        "image": "data/topology/graph_visual/hard/graph707.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 1 should be visited before node15\nnode 1 should be visited before node12\nnode 1 should be visited before node4\nnode 1 should be visited before node24\nnode 1 should be visited before node23\nnode 1 should be visited before node10\nnode 1 should be visited before node22\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node21\nnode 1 should be visited before node27\nnode 1 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node23\nnode 2 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node28\nnode 2 should be visited before node6\nnode 2 should be visited before node3\nnode 2 should be visited before node21\nnode 3 should be visited before node21\nnode 3 should be visited before node27\nnode 4 should be visited before node23\nnode 4 should be visited before node17\nnode 4 should be visited before node18\nnode 4 should be visited before node11\nnode 4 should be visited before node28\nnode 4 should be visited before node3\nnode 4 should be visited before node21\nnode 4 should be visited before node0\nnode 5 should be visited before node8\nnode 5 should be visited before node26\nnode 5 should be visited before node1\nnode 5 should be visited before node15\nnode 5 should be visited before node2\nnode 5 should be visited before node23\nnode 5 should be visited before node17\nnode 5 should be visited before node11\nnode 5 should be visited before node28\nnode 5 should be visited before node22\nnode 5 should be visited before node27\nnode 6 should be visited before node3\nnode 6 should be visited before node21\nnode 6 should be visited before node27\nnode 7 should be visited before node18\nnode 7 should be visited before node10\nnode 7 should be visited before node28\nnode 7 should be visited before node22\nnode 7 should be visited before node6\nnode 7 should be visited before node21\nnode 7 should be visited before node27\nnode 7 should be visited before node0\nnode 8 should be visited before node19\nnode 8 should be visited before node16\nnode 8 should be visited before node15\nnode 8 should be visited before node4\nnode 8 should be visited before node24\nnode 8 should be visited before node7\nnode 8 should be visited before node18\nnode 8 should be visited before node10\nnode 8 should be visited before node28\nnode 8 should be visited before node6\nnode 8 should be visited before node27\nnode 8 should be visited before node0\nnode 9 should be visited before node26\nnode 9 should be visited before node25\nnode 9 should be visited before node30\nnode 9 should be visited before node16\nnode 9 should be visited before node15\nnode 9 should be visited before node2\nnode 9 should be visited before node4\nnode 9 should be visited before node24\nnode 9 should be visited before node7\nnode 9 should be visited before node23\nnode 9 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node22\nnode 9 should be visited before node6\nnode 9 should be visited before node21\nnode 9 should be visited before node27\nnode 9 should be visited before node0\nnode 10 should be visited before node21\nnode 10 should be visited before node0\nnode 11 should be visited before node21\nnode 12 should be visited before node2\nnode 12 should be visited before node17\nnode 12 should be visited before node18\nnode 12 should be visited before node10\nnode 12 should be visited before node11\nnode 12 should be visited before node28\nnode 12 should be visited before node22\nnode 12 should be visited before node6\nnode 12 should be visited before node0\nnode 13 should be visited before node2\nnode 13 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node17\nnode 13 should be visited before node18\nnode 13 should be visited before node10\nnode 13 should be visited before node6\nnode 13 should be visited before node3\nnode 13 should be visited before node27\nnode 13 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node24\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node22\nnode 14 should be visited before node3\nnode 14 should be visited before node21\nnode 14 should be visited before node0\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node24\nnode 15 should be visited before node7\nnode 15 should be visited before node23\nnode 15 should be visited before node10\nnode 15 should be visited before node11\nnode 15 should be visited before node28\nnode 15 should be visited before node21\nnode 16 should be visited before node12\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node17\nnode 16 should be visited before node18\nnode 16 should be visited before node28\nnode 16 should be visited before node22\nnode 16 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node10\nnode 17 should be visited before node11\nnode 17 should be visited before node22\nnode 17 should be visited before node3\nnode 17 should be visited before node0\nnode 18 should be visited before node28\nnode 18 should be visited before node22\nnode 18 should be visited before node3\nnode 18 should be visited before node27\nnode 18 should be visited before node0\nnode 19 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node24\nnode 19 should be visited before node23\nnode 19 should be visited before node17\nnode 19 should be visited before node18\nnode 19 should be visited before node28\nnode 19 should be visited before node3\nnode 19 should be visited before node27\nnode 19 should be visited before node0\nnode 20 should be visited before node9\nnode 20 should be visited before node25\nnode 20 should be visited before node19\nnode 20 should be visited before node1\nnode 20 should be visited before node16\nnode 20 should be visited before node12\nnode 20 should be visited before node13\nnode 20 should be visited before node4\nnode 20 should be visited before node10\nnode 20 should be visited before node11\nnode 20 should be visited before node22\nnode 20 should be visited before node3\nnode 22 should be visited before node6\nnode 22 should be visited before node3\nnode 22 should be visited before node27\nnode 22 should be visited before node0\nnode 23 should be visited before node17\nnode 23 should be visited before node11\nnode 23 should be visited before node28\nnode 23 should be visited before node6\nnode 23 should be visited before node27\nnode 24 should be visited before node17\nnode 24 should be visited before node11\nnode 24 should be visited before node3\nnode 24 should be visited before node21\nnode 24 should be visited before node27\nnode 25 should be visited before node19\nnode 25 should be visited before node15\nnode 25 should be visited before node13\nnode 25 should be visited before node2\nnode 25 should be visited before node24\nnode 25 should be visited before node7\nnode 25 should be visited before node11\nnode 25 should be visited before node21\nnode 26 should be visited before node19\nnode 26 should be visited before node1\nnode 26 should be visited before node16\nnode 26 should be visited before node13\nnode 26 should be visited before node2\nnode 26 should be visited before node4\nnode 26 should be visited before node23\nnode 26 should be visited before node11\nnode 26 should be visited before node28\nnode 26 should be visited before node22\nnode 26 should be visited before node3\nnode 26 should be visited before node21\nnode 26 should be visited before node27\nnode 27 should be visited before node0\nnode 29 should be visited before node20\nnode 29 should be visited before node5\nnode 29 should be visited before node8\nnode 29 should be visited before node26\nnode 29 should be visited before node1\nnode 29 should be visited before node16\nnode 29 should be visited before node12\nnode 29 should be visited before node4\nnode 29 should be visited before node7\nnode 29 should be visited before node18\nnode 29 should be visited before node10\nnode 29 should be visited before node28\nnode 29 should be visited before node22\nnode 29 should be visited before node6\nnode 29 should be visited before node3\nnode 29 should be visited before node21\nnode 29 should be visited before node0\nnode 30 should be visited before node19\nnode 30 should be visited before node1\nnode 30 should be visited before node13\nnode 30 should be visited before node2\nnode 30 should be visited before node7\nnode 30 should be visited before node23\nnode 30 should be visited before node18\nnode 30 should be visited before node10\nnode 30 should be visited before node11\nnode 30 should be visited before node6\nnode 30 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,29,20,5,9,8,26,25,30,16,19,1,13,15,12,24,7,2,4,23,17,18,10,11,28,22,6,3,21,27,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph1162",
        "image": "data/topology/graph_visual/hard/graph1162.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node16\nnode 0 should be visited before node19\nnode 0 should be visited before node24\nnode 0 should be visited before node30\nnode 0 should be visited before node15\nnode 0 should be visited before node7\nnode 1 should be visited before node11\nnode 1 should be visited before node9\nnode 1 should be visited before node32\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node31\nnode 1 should be visited before node26\nnode 1 should be visited before node12\nnode 1 should be visited before node29\nnode 1 should be visited before node17\nnode 1 should be visited before node16\nnode 1 should be visited before node30\nnode 1 should be visited before node15\nnode 1 should be visited before node28\nnode 2 should be visited before node3\nnode 2 should be visited before node22\nnode 2 should be visited before node12\nnode 2 should be visited before node29\nnode 2 should be visited before node17\nnode 2 should be visited before node19\nnode 2 should be visited before node24\nnode 2 should be visited before node30\nnode 3 should be visited before node14\nnode 3 should be visited before node20\nnode 3 should be visited before node31\nnode 3 should be visited before node22\nnode 3 should be visited before node21\nnode 3 should be visited before node29\nnode 3 should be visited before node16\nnode 3 should be visited before node19\nnode 3 should be visited before node30\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 4 should be visited before node32\nnode 4 should be visited before node14\nnode 4 should be visited before node20\nnode 4 should be visited before node22\nnode 4 should be visited before node21\nnode 4 should be visited before node12\nnode 4 should be visited before node29\nnode 4 should be visited before node17\nnode 4 should be visited before node16\nnode 4 should be visited before node15\nnode 4 should be visited before node28\nnode 4 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node23\nnode 5 should be visited before node4\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 5 should be visited before node32\nnode 5 should be visited before node34\nnode 5 should be visited before node25\nnode 5 should be visited before node14\nnode 5 should be visited before node22\nnode 5 should be visited before node26\nnode 5 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node29\nnode 5 should be visited before node0\nnode 5 should be visited before node16\nnode 5 should be visited before node30\nnode 6 should be visited before node32\nnode 6 should be visited before node18\nnode 6 should be visited before node8\nnode 6 should be visited before node2\nnode 6 should be visited before node25\nnode 6 should be visited before node3\nnode 6 should be visited before node14\nnode 6 should be visited before node31\nnode 6 should be visited before node22\nnode 6 should be visited before node26\nnode 6 should be visited before node21\nnode 6 should be visited before node29\nnode 6 should be visited before node17\nnode 6 should be visited before node24\nnode 6 should be visited before node30\nnode 6 should be visited before node10\nnode 6 should be visited before node28\nnode 8 should be visited before node34\nnode 8 should be visited before node3\nnode 8 should be visited before node31\nnode 8 should be visited before node29\nnode 8 should be visited before node0\nnode 8 should be visited before node17\nnode 8 should be visited before node16\nnode 8 should be visited before node19\nnode 8 should be visited before node7\nnode 9 should be visited before node27\nnode 9 should be visited before node8\nnode 9 should be visited before node2\nnode 9 should be visited before node34\nnode 9 should be visited before node33\nnode 9 should be visited before node25\nnode 9 should be visited before node3\nnode 9 should be visited before node14\nnode 9 should be visited before node22\nnode 9 should be visited before node0\nnode 9 should be visited before node24\nnode 9 should be visited before node30\nnode 9 should be visited before node15\nnode 11 should be visited before node23\nnode 11 should be visited before node34\nnode 11 should be visited before node25\nnode 11 should be visited before node3\nnode 11 should be visited before node14\nnode 11 should be visited before node26\nnode 11 should be visited before node21\nnode 11 should be visited before node15\nnode 11 should be visited before node10\nnode 12 should be visited before node0\nnode 12 should be visited before node19\nnode 12 should be visited before node24\nnode 12 should be visited before node15\nnode 12 should be visited before node28\nnode 13 should be visited before node11\nnode 13 should be visited before node4\nnode 13 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node2\nnode 13 should be visited before node34\nnode 13 should be visited before node20\nnode 13 should be visited before node31\nnode 13 should be visited before node22\nnode 13 should be visited before node26\nnode 13 should be visited before node12\nnode 13 should be visited before node29\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node15\nnode 13 should be visited before node10\nnode 13 should be visited before node7\nnode 14 should be visited before node20\nnode 14 should be visited before node31\nnode 14 should be visited before node22\nnode 14 should be visited before node12\nnode 14 should be visited before node29\nnode 14 should be visited before node0\nnode 14 should be visited before node16\nnode 14 should be visited before node19\nnode 14 should be visited before node30\nnode 14 should be visited before node15\nnode 14 should be visited before node28\nnode 15 should be visited before node28\nnode 16 should be visited before node19\nnode 16 should be visited before node24\nnode 16 should be visited before node28\nnode 16 should be visited before node7\nnode 17 should be visited before node16\nnode 17 should be visited before node30\nnode 17 should be visited before node28\nnode 17 should be visited before node7\nnode 18 should be visited before node27\nnode 18 should be visited before node34\nnode 18 should be visited before node33\nnode 18 should be visited before node25\nnode 18 should be visited before node3\nnode 18 should be visited before node31\nnode 18 should be visited before node22\nnode 18 should be visited before node21\nnode 18 should be visited before node12\nnode 18 should be visited before node29\nnode 18 should be visited before node0\nnode 18 should be visited before node17\nnode 18 should be visited before node24\nnode 18 should be visited before node30\nnode 18 should be visited before node15\nnode 18 should be visited before node10\nnode 18 should be visited before node28\nnode 19 should be visited before node10\nnode 20 should be visited before node26\nnode 20 should be visited before node21\nnode 20 should be visited before node0\nnode 20 should be visited before node16\nnode 20 should be visited before node19\nnode 20 should be visited before node24\nnode 20 should be visited before node30\nnode 20 should be visited before node10\nnode 20 should be visited before node28\nnode 21 should be visited before node16\nnode 21 should be visited before node24\nnode 21 should be visited before node30\nnode 21 should be visited before node10\nnode 21 should be visited before node7\nnode 22 should be visited before node21\nnode 22 should be visited before node17\nnode 22 should be visited before node16\nnode 22 should be visited before node19\nnode 22 should be visited before node24\nnode 22 should be visited before node15\nnode 23 should be visited before node4\nnode 23 should be visited before node6\nnode 23 should be visited before node18\nnode 23 should be visited before node8\nnode 23 should be visited before node34\nnode 23 should be visited before node33\nnode 23 should be visited before node25\nnode 23 should be visited before node20\nnode 23 should be visited before node31\nnode 23 should be visited before node26\nnode 23 should be visited before node12\nnode 23 should be visited before node29\nnode 23 should be visited before node16\nnode 23 should be visited before node19\nnode 23 should be visited before node24\nnode 23 should be visited before node30\nnode 23 should be visited before node15\nnode 23 should be visited before node10\nnode 23 should be visited before node7\nnode 24 should be visited before node30\nnode 24 should be visited before node15\nnode 24 should be visited before node28\nnode 25 should be visited before node20\nnode 25 should be visited before node31\nnode 25 should be visited before node22\nnode 25 should be visited before node26\nnode 25 should be visited before node21\nnode 25 should be visited before node29\nnode 25 should be visited before node0\nnode 25 should be visited before node24\nnode 25 should be visited before node28\nnode 25 should be visited before node7\nnode 26 should be visited before node29\nnode 26 should be visited before node17\nnode 26 should be visited before node19\nnode 26 should be visited before node7\nnode 27 should be visited before node33\nnode 27 should be visited before node20\nnode 27 should be visited before node22\nnode 27 should be visited before node26\nnode 27 should be visited before node21\nnode 27 should be visited before node12\nnode 27 should be visited before node17\nnode 27 should be visited before node30\nnode 27 should be visited before node15\nnode 27 should be visited before node28\nnode 27 should be visited before node7\nnode 28 should be visited before node7\nnode 29 should be visited before node0\nnode 29 should be visited before node19\nnode 29 should be visited before node24\nnode 29 should be visited before node30\nnode 29 should be visited before node15\nnode 29 should be visited before node10\nnode 29 should be visited before node28\nnode 30 should be visited before node7\nnode 31 should be visited before node22\nnode 31 should be visited before node21\nnode 31 should be visited before node29\nnode 31 should be visited before node0\nnode 31 should be visited before node16\nnode 31 should be visited before node30\nnode 31 should be visited before node7\nnode 32 should be visited before node18\nnode 32 should be visited before node8\nnode 32 should be visited before node34\nnode 32 should be visited before node25\nnode 32 should be visited before node3\nnode 32 should be visited before node20\nnode 32 should be visited before node0\nnode 32 should be visited before node15\nnode 32 should be visited before node10\nnode 32 should be visited before node7\nnode 33 should be visited before node25\nnode 33 should be visited before node3\nnode 33 should be visited before node20\nnode 33 should be visited before node31\nnode 33 should be visited before node26\nnode 33 should be visited before node12\nnode 33 should be visited before node29\nnode 33 should be visited before node16\nnode 33 should be visited before node19\nnode 33 should be visited before node15\nnode 33 should be visited before node7\nnode 34 should be visited before node33\nnode 34 should be visited before node25\nnode 34 should be visited before node14\nnode 34 should be visited before node31\nnode 34 should be visited before node22\nnode 34 should be visited before node21\nnode 34 should be visited before node12\nnode 34 should be visited before node29\nnode 34 should be visited before node0\nnode 34 should be visited before node17\nnode 34 should be visited before node19\nnode 34 should be visited before node24\nnode 34 should be visited before node30\nnode 34 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,13,1,11,23,4,9,6,32,2,18,8,27,34,33,25,3,14,20,31,12,26,22,29,21,17,0,16,19,24,10,30,15,28,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph586",
        "image": "data/topology/graph_visual/hard/graph586.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node26\nnode 0 should be visited before node14\nnode 0 should be visited before node27\nnode 0 should be visited before node6\nnode 0 should be visited before node19\nnode 0 should be visited before node18\nnode 0 should be visited before node16\nnode 1 should be visited before node27\nnode 1 should be visited before node6\nnode 1 should be visited before node5\nnode 1 should be visited before node17\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 1 should be visited before node16\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node20\nnode 2 should be visited before node27\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node17\nnode 2 should be visited before node4\nnode 2 should be visited before node25\nnode 3 should be visited before node12\nnode 3 should be visited before node24\nnode 3 should be visited before node23\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 3 should be visited before node28\nnode 3 should be visited before node21\nnode 3 should be visited before node14\nnode 3 should be visited before node29\nnode 3 should be visited before node1\nnode 3 should be visited before node27\nnode 3 should be visited before node6\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 4 should be visited before node18\nnode 4 should be visited before node16\nnode 5 should be visited before node17\nnode 5 should be visited before node18\nnode 5 should be visited before node16\nnode 6 should be visited before node5\nnode 6 should be visited before node17\nnode 7 should be visited before node2\nnode 7 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node26\nnode 7 should be visited before node1\nnode 7 should be visited before node27\nnode 7 should be visited before node19\nnode 7 should be visited before node4\nnode 8 should be visited before node20\nnode 8 should be visited before node1\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node17\nnode 8 should be visited before node4\nnode 8 should be visited before node18\nnode 9 should be visited before node21\nnode 9 should be visited before node6\nnode 9 should be visited before node19\nnode 9 should be visited before node18\nnode 10 should be visited before node13\nnode 10 should be visited before node0\nnode 10 should be visited before node21\nnode 10 should be visited before node29\nnode 10 should be visited before node1\nnode 10 should be visited before node27\nnode 10 should be visited before node5\nnode 10 should be visited before node19\nnode 10 should be visited before node4\nnode 10 should be visited before node18\nnode 10 should be visited before node16\nnode 11 should be visited before node24\nnode 11 should be visited before node23\nnode 11 should be visited before node7\nnode 11 should be visited before node10\nnode 11 should be visited before node8\nnode 11 should be visited before node9\nnode 11 should be visited before node14\nnode 11 should be visited before node29\nnode 11 should be visited before node27\nnode 11 should be visited before node5\nnode 11 should be visited before node17\nnode 11 should be visited before node4\nnode 11 should be visited before node18\nnode 11 should be visited before node16\nnode 12 should be visited before node24\nnode 12 should be visited before node22\nnode 12 should be visited before node10\nnode 12 should be visited before node0\nnode 12 should be visited before node26\nnode 12 should be visited before node9\nnode 12 should be visited before node21\nnode 12 should be visited before node15\nnode 12 should be visited before node14\nnode 12 should be visited before node29\nnode 12 should be visited before node27\nnode 12 should be visited before node6\nnode 12 should be visited before node17\nnode 12 should be visited before node25\nnode 13 should be visited before node28\nnode 13 should be visited before node0\nnode 13 should be visited before node14\nnode 13 should be visited before node29\nnode 13 should be visited before node20\nnode 13 should be visited before node27\nnode 13 should be visited before node5\nnode 13 should be visited before node17\nnode 13 should be visited before node25\nnode 14 should be visited before node29\nnode 14 should be visited before node20\nnode 14 should be visited before node1\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node16\nnode 15 should be visited before node29\nnode 15 should be visited before node20\nnode 15 should be visited before node1\nnode 15 should be visited before node19\nnode 15 should be visited before node25\nnode 15 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node25\nnode 17 should be visited before node16\nnode 18 should be visited before node25\nnode 19 should be visited before node17\nnode 19 should be visited before node4\nnode 20 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node17\nnode 20 should be visited before node4\nnode 20 should be visited before node18\nnode 20 should be visited before node25\nnode 21 should be visited before node27\nnode 21 should be visited before node4\nnode 22 should be visited before node7\nnode 22 should be visited before node2\nnode 22 should be visited before node10\nnode 22 should be visited before node8\nnode 22 should be visited before node28\nnode 22 should be visited before node26\nnode 22 should be visited before node21\nnode 22 should be visited before node1\nnode 22 should be visited before node27\nnode 22 should be visited before node6\nnode 22 should be visited before node5\nnode 22 should be visited before node17\nnode 22 should be visited before node4\nnode 22 should be visited before node18\nnode 22 should be visited before node25\nnode 22 should be visited before node16\nnode 23 should be visited before node2\nnode 23 should be visited before node10\nnode 23 should be visited before node13\nnode 23 should be visited before node28\nnode 23 should be visited before node9\nnode 23 should be visited before node15\nnode 23 should be visited before node14\nnode 23 should be visited before node29\nnode 23 should be visited before node1\nnode 23 should be visited before node27\nnode 23 should be visited before node5\nnode 23 should be visited before node25\nnode 23 should be visited before node16\nnode 24 should be visited before node10\nnode 24 should be visited before node26\nnode 24 should be visited before node9\nnode 24 should be visited before node21\nnode 24 should be visited before node15\nnode 24 should be visited before node29\nnode 24 should be visited before node20\nnode 24 should be visited before node1\nnode 24 should be visited before node27\nnode 24 should be visited before node19\nnode 26 should be visited before node29\nnode 26 should be visited before node20\nnode 26 should be visited before node1\nnode 26 should be visited before node6\nnode 26 should be visited before node19\nnode 26 should be visited before node4\nnode 26 should be visited before node16\nnode 27 should be visited before node18\nnode 28 should be visited before node9\nnode 28 should be visited before node14\nnode 28 should be visited before node29\nnode 28 should be visited before node1\nnode 28 should be visited before node6\nnode 28 should be visited before node5\nnode 28 should be visited before node19\nnode 28 should be visited before node17\nnode 28 should be visited before node18\nnode 29 should be visited before node20\nnode 29 should be visited before node1\nnode 29 should be visited before node5\nnode 29 should be visited before node17\nnode 29 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,11,12,23,24,22,15,7,10,2,13,8,28,0,9,26,14,21,29,20,1,19,27,6,4,5,17,18,16,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph656",
        "image": "data/topology/graph_visual/hard/graph656.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node30\nnode 0 should be visited before node11\nnode 0 should be visited before node24\nnode 1 should be visited before node7\nnode 1 should be visited before node20\nnode 1 should be visited before node30\nnode 1 should be visited before node11\nnode 1 should be visited before node14\nnode 1 should be visited before node10\nnode 2 should be visited before node28\nnode 2 should be visited before node26\nnode 2 should be visited before node0\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node23\nnode 3 should be visited before node10\nnode 4 should be visited before node11\nnode 5 should be visited before node3\nnode 6 should be visited before node9\nnode 6 should be visited before node14\nnode 6 should be visited before node24\nnode 7 should be visited before node0\nnode 7 should be visited before node30\nnode 7 should be visited before node4\nnode 7 should be visited before node11\nnode 7 should be visited before node14\nnode 7 should be visited before node23\nnode 7 should be visited before node24\nnode 8 should be visited before node1\nnode 8 should be visited before node18\nnode 8 should be visited before node15\nnode 8 should be visited before node0\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node14\nnode 8 should be visited before node23\nnode 8 should be visited before node10\nnode 9 should be visited before node27\nnode 9 should be visited before node14\nnode 9 should be visited before node16\nnode 9 should be visited before node24\nnode 11 should be visited before node5\nnode 11 should be visited before node14\nnode 11 should be visited before node23\nnode 12 should be visited before node2\nnode 12 should be visited before node28\nnode 12 should be visited before node1\nnode 12 should be visited before node30\nnode 12 should be visited before node11\nnode 12 should be visited before node5\nnode 12 should be visited before node3\nnode 12 should be visited before node27\nnode 13 should be visited before node19\nnode 13 should be visited before node22\nnode 13 should be visited before node21\nnode 13 should be visited before node18\nnode 13 should be visited before node26\nnode 13 should be visited before node6\nnode 13 should be visited before node11\nnode 14 should be visited before node23\nnode 14 should be visited before node10\nnode 15 should be visited before node5\nnode 15 should be visited before node27\nnode 15 should be visited before node24\nnode 17 should be visited before node28\nnode 17 should be visited before node21\nnode 17 should be visited before node9\nnode 17 should be visited before node5\nnode 17 should be visited before node23\nnode 17 should be visited before node10\nnode 18 should be visited before node15\nnode 18 should be visited before node0\nnode 18 should be visited before node3\nnode 18 should be visited before node27\nnode 18 should be visited before node24\nnode 19 should be visited before node8\nnode 19 should be visited before node28\nnode 19 should be visited before node1\nnode 19 should be visited before node7\nnode 19 should be visited before node15\nnode 19 should be visited before node26\nnode 19 should be visited before node6\nnode 19 should be visited before node3\nnode 19 should be visited before node27\nnode 20 should be visited before node6\nnode 20 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node23\nnode 20 should be visited before node16\nnode 21 should be visited before node26\nnode 21 should be visited before node30\nnode 21 should be visited before node9\nnode 21 should be visited before node11\nnode 21 should be visited before node5\nnode 21 should be visited before node3\nnode 21 should be visited before node27\nnode 21 should be visited before node14\nnode 21 should be visited before node23\nnode 22 should be visited before node2\nnode 22 should be visited before node1\nnode 22 should be visited before node15\nnode 22 should be visited before node0\nnode 22 should be visited before node4\nnode 22 should be visited before node5\nnode 22 should be visited before node27\nnode 22 should be visited before node14\nnode 22 should be visited before node23\nnode 22 should be visited before node16\nnode 25 should be visited before node13\nnode 25 should be visited before node12\nnode 25 should be visited before node29\nnode 25 should be visited before node22\nnode 25 should be visited before node8\nnode 25 should be visited before node7\nnode 25 should be visited before node26\nnode 25 should be visited before node6\nnode 25 should be visited before node27\nnode 26 should be visited before node6\nnode 26 should be visited before node9\nnode 26 should be visited before node16\nnode 27 should be visited before node14\nnode 28 should be visited before node1\nnode 28 should be visited before node20\nnode 28 should be visited before node9\nnode 28 should be visited before node5\nnode 28 should be visited before node14\nnode 28 should be visited before node23\nnode 28 should be visited before node24\nnode 29 should be visited before node2\nnode 29 should be visited before node26\nnode 29 should be visited before node0\nnode 29 should be visited before node9\nnode 29 should be visited before node11\nnode 29 should be visited before node5\nnode 29 should be visited before node14\nnode 30 should be visited before node6\nnode 30 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,25,13,12,29,19,22,21,8,2,18,28,26,15,1,7,20,0,4,30,11,6,5,9,3,27,16,24,14,23,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph632",
        "image": "data/topology/graph_visual/hard/graph632.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node8\nnode 0 should be visited before node22\nnode 0 should be visited before node19\nnode 0 should be visited before node11\nnode 0 should be visited before node26\nnode 0 should be visited before node15\nnode 0 should be visited before node3\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 1 should be visited before node28\nnode 1 should be visited before node6\nnode 1 should be visited before node27\nnode 1 should be visited before node26\nnode 1 should be visited before node10\nnode 1 should be visited before node23\nnode 1 should be visited before node18\nnode 2 should be visited before node21\nnode 2 should be visited before node12\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 3 should be visited before node4\nnode 3 should be visited before node9\nnode 4 should be visited before node24\nnode 5 should be visited before node13\nnode 6 should be visited before node30\nnode 6 should be visited before node15\nnode 6 should be visited before node20\nnode 6 should be visited before node21\nnode 6 should be visited before node12\nnode 6 should be visited before node23\nnode 7 should be visited before node20\nnode 7 should be visited before node2\nnode 7 should be visited before node12\nnode 7 should be visited before node13\nnode 7 should be visited before node4\nnode 7 should be visited before node9\nnode 8 should be visited before node17\nnode 8 should be visited before node16\nnode 8 should be visited before node29\nnode 8 should be visited before node27\nnode 8 should be visited before node7\nnode 8 should be visited before node5\nnode 8 should be visited before node20\nnode 8 should be visited before node2\nnode 8 should be visited before node3\nnode 8 should be visited before node18\nnode 10 should be visited before node18\nnode 10 should be visited before node24\nnode 10 should be visited before node9\nnode 11 should be visited before node20\nnode 11 should be visited before node12\nnode 11 should be visited before node13\nnode 11 should be visited before node24\nnode 11 should be visited before node9\nnode 12 should be visited before node13\nnode 12 should be visited before node4\nnode 13 should be visited before node24\nnode 14 should be visited before node5\nnode 14 should be visited before node20\nnode 14 should be visited before node13\nnode 14 should be visited before node4\nnode 14 should be visited before node23\nnode 15 should be visited before node4\nnode 15 should be visited before node23\nnode 16 should be visited before node6\nnode 16 should be visited before node30\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 16 should be visited before node15\nnode 16 should be visited before node20\nnode 16 should be visited before node4\nnode 17 should be visited before node16\nnode 17 should be visited before node6\nnode 17 should be visited before node27\nnode 17 should be visited before node30\nnode 17 should be visited before node14\nnode 17 should be visited before node10\nnode 17 should be visited before node20\nnode 17 should be visited before node13\nnode 18 should be visited before node9\nnode 19 should be visited before node6\nnode 19 should be visited before node5\nnode 19 should be visited before node10\nnode 19 should be visited before node20\nnode 19 should be visited before node2\nnode 19 should be visited before node18\nnode 20 should be visited before node3\nnode 20 should be visited before node4\nnode 20 should be visited before node23\nnode 20 should be visited before node18\nnode 20 should be visited before node9\nnode 21 should be visited before node4\nnode 21 should be visited before node24\nnode 22 should be visited before node11\nnode 22 should be visited before node5\nnode 22 should be visited before node10\nnode 22 should be visited before node3\nnode 22 should be visited before node18\nnode 23 should be visited before node24\nnode 24 should be visited before node9\nnode 25 should be visited before node28\nnode 25 should be visited before node8\nnode 25 should be visited before node22\nnode 25 should be visited before node16\nnode 25 should be visited before node27\nnode 25 should be visited before node30\nnode 25 should be visited before node15\nnode 25 should be visited before node2\nnode 25 should be visited before node4\nnode 25 should be visited before node9\nnode 26 should be visited before node5\nnode 26 should be visited before node10\nnode 26 should be visited before node15\nnode 26 should be visited before node20\nnode 26 should be visited before node12\nnode 26 should be visited before node4\nnode 26 should be visited before node23\nnode 26 should be visited before node9\nnode 27 should be visited before node7\nnode 27 should be visited before node2\nnode 28 should be visited before node22\nnode 28 should be visited before node16\nnode 28 should be visited before node7\nnode 28 should be visited before node11\nnode 28 should be visited before node14\nnode 28 should be visited before node15\nnode 28 should be visited before node2\nnode 28 should be visited before node3\nnode 28 should be visited before node12\nnode 28 should be visited before node24\nnode 29 should be visited before node14\nnode 29 should be visited before node23\nnode 29 should be visited before node18\nnode 29 should be visited before node9\nnode 30 should be visited before node11\nnode 30 should be visited before node14\nnode 30 should be visited before node26\nnode 30 should be visited before node10\nnode 30 should be visited before node15\nnode 30 should be visited before node20\nnode 30 should be visited before node2\nnode 30 should be visited before node3\nnode 30 should be visited before node12\nnode 30 should be visited before node13\nnode 30 should be visited before node4\nnode 30 should be visited before node23\nnode 30 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,25,19,28,8,22,17,29,16,27,6,7,30,11,14,26,2,5,10,15,20,21,12,3,23,18,13,4,24,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph960",
        "image": "data/topology/graph_visual/hard/graph960.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node24\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 0 should be visited before node18\nnode 1 should be visited before node12\nnode 1 should be visited before node32\nnode 1 should be visited before node29\nnode 1 should be visited before node18\nnode 2 should be visited before node24\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 3 should be visited before node13\nnode 3 should be visited before node19\nnode 3 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node33\nnode 3 should be visited before node28\nnode 3 should be visited before node5\nnode 3 should be visited before node15\nnode 3 should be visited before node18\nnode 4 should be visited before node13\nnode 4 should be visited before node6\nnode 4 should be visited before node24\nnode 4 should be visited before node8\nnode 4 should be visited before node32\nnode 6 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node29\nnode 6 should be visited before node18\nnode 7 should be visited before node19\nnode 7 should be visited before node2\nnode 8 should be visited before node32\nnode 8 should be visited before node18\nnode 9 should be visited before node25\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node12\nnode 9 should be visited before node33\nnode 9 should be visited before node28\nnode 9 should be visited before node15\nnode 10 should be visited before node4\nnode 10 should be visited before node6\nnode 10 should be visited before node7\nnode 10 should be visited before node19\nnode 10 should be visited before node2\nnode 10 should be visited before node5\nnode 10 should be visited before node29\nnode 10 should be visited before node18\nnode 12 should be visited before node24\nnode 12 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node1\nnode 13 should be visited before node24\nnode 13 should be visited before node8\nnode 13 should be visited before node28\nnode 13 should be visited before node11\nnode 13 should be visited before node29\nnode 13 should be visited before node18\nnode 14 should be visited before node23\nnode 14 should be visited before node25\nnode 14 should be visited before node13\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node28\nnode 14 should be visited before node5\nnode 15 should be visited before node29\nnode 15 should be visited before node16\nnode 15 should be visited before node18\nnode 16 should be visited before node18\nnode 17 should be visited before node20\nnode 17 should be visited before node14\nnode 17 should be visited before node0\nnode 17 should be visited before node8\nnode 17 should be visited before node28\nnode 17 should be visited before node18\nnode 19 should be visited before node33\nnode 19 should be visited before node8\nnode 19 should be visited before node32\nnode 20 should be visited before node9\nnode 20 should be visited before node0\nnode 20 should be visited before node7\nnode 20 should be visited before node12\nnode 20 should be visited before node33\nnode 20 should be visited before node8\nnode 20 should be visited before node28\nnode 20 should be visited before node11\nnode 21 should be visited before node9\nnode 21 should be visited before node4\nnode 21 should be visited before node13\nnode 21 should be visited before node19\nnode 21 should be visited before node24\nnode 21 should be visited before node32\nnode 21 should be visited before node28\nnode 21 should be visited before node5\nnode 21 should be visited before node29\nnode 22 should be visited before node9\nnode 22 should be visited before node0\nnode 22 should be visited before node10\nnode 22 should be visited before node13\nnode 22 should be visited before node6\nnode 22 should be visited before node19\nnode 22 should be visited before node24\nnode 22 should be visited before node33\nnode 22 should be visited before node8\nnode 23 should be visited before node4\nnode 23 should be visited before node8\nnode 23 should be visited before node15\nnode 23 should be visited before node16\nnode 24 should be visited before node28\nnode 24 should be visited before node15\nnode 25 should be visited before node10\nnode 25 should be visited before node1\nnode 25 should be visited before node12\nnode 25 should be visited before node11\nnode 25 should be visited before node29\nnode 26 should be visited before node30\nnode 26 should be visited before node22\nnode 26 should be visited before node0\nnode 26 should be visited before node6\nnode 26 should be visited before node19\nnode 26 should be visited before node12\nnode 26 should be visited before node5\nnode 27 should be visited before node14\nnode 27 should be visited before node9\nnode 27 should be visited before node23\nnode 27 should be visited before node0\nnode 27 should be visited before node6\nnode 27 should be visited before node7\nnode 27 should be visited before node32\nnode 27 should be visited before node28\nnode 27 should be visited before node15\nnode 28 should be visited before node29\nnode 28 should be visited before node18\nnode 29 should be visited before node16\nnode 29 should be visited before node18\nnode 30 should be visited before node17\nnode 30 should be visited before node27\nnode 30 should be visited before node14\nnode 30 should be visited before node21\nnode 30 should be visited before node9\nnode 30 should be visited before node23\nnode 30 should be visited before node3\nnode 30 should be visited before node7\nnode 30 should be visited before node1\nnode 30 should be visited before node24\nnode 30 should be visited before node8\nnode 30 should be visited before node11\nnode 30 should be visited before node5\nnode 31 should be visited before node9\nnode 31 should be visited before node25\nnode 31 should be visited before node19\nnode 31 should be visited before node8\nnode 31 should be visited before node32\nnode 31 should be visited before node11\nnode 31 should be visited before node15\nnode 31 should be visited before node29\nnode 31 should be visited before node16\nnode 32 should be visited before node5\nnode 32 should be visited before node29\nnode 33 should be visited before node32\nnode 33 should be visited before node28\nnode 33 should be visited before node5\nnode 33 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "26,31,30,22,17,27,21,3,20,14,9,0,23,25,10,4,7,13,19,2,6,33,8,11,1,12,32,24,5,28,15,29,16,18."
            }
        ]
    },
    {
        "id": "topology-hard-graph684",
        "image": "data/topology/graph_visual/hard/graph684.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node22\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node5\nnode 0 should be visited before node21\nnode 0 should be visited before node30\nnode 0 should be visited before node27\nnode 0 should be visited before node18\nnode 0 should be visited before node10\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 1 should be visited before node23\nnode 1 should be visited before node22\nnode 1 should be visited before node25\nnode 1 should be visited before node29\nnode 1 should be visited before node14\nnode 1 should be visited before node11\nnode 1 should be visited before node5\nnode 1 should be visited before node21\nnode 1 should be visited before node3\nnode 1 should be visited before node20\nnode 1 should be visited before node26\nnode 1 should be visited before node18\nnode 2 should be visited before node0\nnode 2 should be visited before node25\nnode 2 should be visited before node7\nnode 2 should be visited before node29\nnode 2 should be visited before node14\nnode 2 should be visited before node6\nnode 2 should be visited before node12\nnode 2 should be visited before node21\nnode 2 should be visited before node15\nnode 2 should be visited before node30\nnode 2 should be visited before node3\nnode 2 should be visited before node20\nnode 2 should be visited before node26\nnode 2 should be visited before node18\nnode 2 should be visited before node17\nnode 3 should be visited before node27\nnode 3 should be visited before node26\nnode 3 should be visited before node28\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 3 should be visited before node17\nnode 4 should be visited before node29\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node9\nnode 4 should be visited before node21\nnode 4 should be visited before node27\nnode 4 should be visited before node17\nnode 5 should be visited before node19\nnode 5 should be visited before node21\nnode 5 should be visited before node3\nnode 5 should be visited before node27\nnode 5 should be visited before node26\nnode 5 should be visited before node10\nnode 5 should be visited before node17\nnode 6 should be visited before node11\nnode 6 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node21\nnode 6 should be visited before node20\nnode 6 should be visited before node27\nnode 6 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node11\nnode 7 should be visited before node5\nnode 7 should be visited before node19\nnode 7 should be visited before node21\nnode 7 should be visited before node30\nnode 7 should be visited before node20\nnode 7 should be visited before node18\nnode 7 should be visited before node17\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node24\nnode 8 should be visited before node22\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 8 should be visited before node29\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 8 should be visited before node12\nnode 8 should be visited before node30\nnode 8 should be visited before node26\nnode 8 should be visited before node28\nnode 8 should be visited before node10\nnode 9 should be visited before node5\nnode 9 should be visited before node19\nnode 9 should be visited before node21\nnode 9 should be visited before node15\nnode 9 should be visited before node3\nnode 9 should be visited before node20\nnode 9 should be visited before node27\nnode 9 should be visited before node13\nnode 10 should be visited before node13\nnode 11 should be visited before node12\nnode 11 should be visited before node5\nnode 11 should be visited before node19\nnode 11 should be visited before node21\nnode 11 should be visited before node30\nnode 11 should be visited before node20\nnode 11 should be visited before node10\nnode 12 should be visited before node21\nnode 12 should be visited before node15\nnode 12 should be visited before node30\nnode 12 should be visited before node20\nnode 12 should be visited before node27\nnode 12 should be visited before node26\nnode 12 should be visited before node18\nnode 13 should be visited before node17\nnode 14 should be visited before node11\nnode 14 should be visited before node12\nnode 14 should be visited before node15\nnode 14 should be visited before node30\nnode 14 should be visited before node3\nnode 14 should be visited before node20\nnode 14 should be visited before node27\nnode 14 should be visited before node10\nnode 14 should be visited before node13\nnode 14 should be visited before node17\nnode 15 should be visited before node30\nnode 15 should be visited before node3\nnode 15 should be visited before node27\nnode 15 should be visited before node28\nnode 15 should be visited before node10\nnode 15 should be visited before node13\nnode 16 should be visited before node1\nnode 16 should be visited before node0\nnode 16 should be visited before node23\nnode 16 should be visited before node22\nnode 16 should be visited before node29\nnode 16 should be visited before node12\nnode 16 should be visited before node5\nnode 16 should be visited before node30\nnode 16 should be visited before node20\nnode 16 should be visited before node27\nnode 16 should be visited before node26\nnode 16 should be visited before node10\nnode 18 should be visited before node13\nnode 18 should be visited before node17\nnode 19 should be visited before node15\nnode 19 should be visited before node30\nnode 19 should be visited before node20\nnode 19 should be visited before node18\nnode 19 should be visited before node28\nnode 19 should be visited before node10\nnode 19 should be visited before node17\nnode 20 should be visited before node27\nnode 20 should be visited before node26\nnode 20 should be visited before node10\nnode 20 should be visited before node13\nnode 21 should be visited before node3\nnode 21 should be visited before node27\nnode 21 should be visited before node10\nnode 21 should be visited before node13\nnode 22 should be visited before node7\nnode 22 should be visited before node29\nnode 22 should be visited before node14\nnode 22 should be visited before node6\nnode 22 should be visited before node19\nnode 22 should be visited before node15\nnode 22 should be visited before node30\nnode 22 should be visited before node20\nnode 22 should be visited before node27\nnode 23 should be visited before node24\nnode 23 should be visited before node22\nnode 23 should be visited before node25\nnode 23 should be visited before node7\nnode 23 should be visited before node11\nnode 23 should be visited before node5\nnode 23 should be visited before node15\nnode 23 should be visited before node3\nnode 23 should be visited before node20\nnode 23 should be visited before node26\nnode 23 should be visited before node28\nnode 24 should be visited before node22\nnode 24 should be visited before node29\nnode 24 should be visited before node6\nnode 24 should be visited before node5\nnode 24 should be visited before node19\nnode 24 should be visited before node21\nnode 24 should be visited before node30\nnode 24 should be visited before node27\nnode 24 should be visited before node26\nnode 24 should be visited before node28\nnode 24 should be visited before node10\nnode 24 should be visited before node13\nnode 24 should be visited before node17\nnode 25 should be visited before node7\nnode 25 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node9\nnode 25 should be visited before node5\nnode 25 should be visited before node21\nnode 25 should be visited before node28\nnode 25 should be visited before node10\nnode 26 should be visited before node28\nnode 26 should be visited before node17\nnode 27 should be visited before node26\nnode 27 should be visited before node28\nnode 27 should be visited before node10\nnode 27 should be visited before node17\nnode 29 should be visited before node14\nnode 29 should be visited before node6\nnode 29 should be visited before node12\nnode 29 should be visited before node5\nnode 29 should be visited before node15\nnode 29 should be visited before node30\nnode 29 should be visited before node20\nnode 29 should be visited before node27\nnode 29 should be visited before node26\nnode 29 should be visited before node18\nnode 29 should be visited before node13\nnode 29 should be visited before node17\nnode 30 should be visited before node3\nnode 30 should be visited before node27\nnode 30 should be visited before node26\nnode 30 should be visited before node10\nnode 30 should be visited before node13\nnode 30 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,16,2,1,0,23,24,25,22,4,7,29,14,6,11,9,12,5,19,21,15,20,18,30,3,27,26,10,28,13,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph212",
        "image": "data/topology/graph_visual/hard/graph212.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node17\nnode 0 should be visited before node14\nnode 0 should be visited before node24\nnode 0 should be visited before node26\nnode 0 should be visited before node21\nnode 0 should be visited before node1\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node9\nnode 1 should be visited before node12\nnode 1 should be visited before node9\nnode 1 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node5\nnode 3 should be visited before node25\nnode 3 should be visited before node23\nnode 3 should be visited before node13\nnode 3 should be visited before node15\nnode 3 should be visited before node17\nnode 3 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node24\nnode 3 should be visited before node19\nnode 3 should be visited before node7\nnode 3 should be visited before node21\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 4 should be visited before node16\nnode 4 should be visited before node0\nnode 4 should be visited before node8\nnode 4 should be visited before node15\nnode 4 should be visited before node24\nnode 4 should be visited before node7\nnode 4 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node17\nnode 6 should be visited before node26\nnode 6 should be visited before node19\nnode 6 should be visited before node21\nnode 6 should be visited before node1\nnode 6 should be visited before node2\nnode 6 should be visited before node9\nnode 6 should be visited before node5\nnode 7 should be visited before node12\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node19\nnode 8 should be visited before node7\nnode 8 should be visited before node21\nnode 8 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 9 should be visited before node5\nnode 10 should be visited before node19\nnode 10 should be visited before node2\nnode 11 should be visited before node20\nnode 11 should be visited before node22\nnode 11 should be visited before node23\nnode 11 should be visited before node13\nnode 11 should be visited before node4\nnode 11 should be visited before node0\nnode 11 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node14\nnode 11 should be visited before node24\nnode 11 should be visited before node26\nnode 11 should be visited before node7\nnode 11 should be visited before node21\nnode 11 should be visited before node1\nnode 11 should be visited before node2\nnode 11 should be visited before node9\nnode 12 should be visited before node5\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node15\nnode 13 should be visited before node14\nnode 13 should be visited before node10\nnode 13 should be visited before node24\nnode 13 should be visited before node19\nnode 13 should be visited before node7\nnode 13 should be visited before node21\nnode 13 should be visited before node12\nnode 13 should be visited before node2\nnode 13 should be visited before node5\nnode 14 should be visited before node24\nnode 14 should be visited before node26\nnode 14 should be visited before node19\nnode 14 should be visited before node21\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 15 should be visited before node17\nnode 15 should be visited before node14\nnode 15 should be visited before node10\nnode 15 should be visited before node24\nnode 15 should be visited before node19\nnode 15 should be visited before node1\nnode 15 should be visited before node12\nnode 15 should be visited before node9\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 16 should be visited before node15\nnode 16 should be visited before node26\nnode 16 should be visited before node1\nnode 16 should be visited before node12\nnode 16 should be visited before node2\nnode 16 should be visited before node9\nnode 17 should be visited before node26\nnode 17 should be visited before node19\nnode 17 should be visited before node21\nnode 17 should be visited before node2\nnode 17 should be visited before node9\nnode 18 should be visited before node23\nnode 18 should be visited before node16\nnode 18 should be visited before node8\nnode 18 should be visited before node15\nnode 18 should be visited before node14\nnode 18 should be visited before node10\nnode 18 should be visited before node24\nnode 18 should be visited before node26\nnode 18 should be visited before node19\nnode 18 should be visited before node21\nnode 18 should be visited before node12\nnode 18 should be visited before node2\nnode 18 should be visited before node9\nnode 18 should be visited before node5\nnode 19 should be visited before node7\nnode 19 should be visited before node1\nnode 19 should be visited before node12\nnode 19 should be visited before node9\nnode 20 should be visited before node18\nnode 20 should be visited before node22\nnode 20 should be visited before node13\nnode 20 should be visited before node4\nnode 20 should be visited before node16\nnode 20 should be visited before node10\nnode 20 should be visited before node24\nnode 20 should be visited before node19\nnode 20 should be visited before node21\nnode 20 should be visited before node12\nnode 20 should be visited before node9\nnode 20 should be visited before node5\nnode 21 should be visited before node12\nnode 22 should be visited before node25\nnode 22 should be visited before node4\nnode 22 should be visited before node8\nnode 22 should be visited before node6\nnode 22 should be visited before node15\nnode 22 should be visited before node17\nnode 22 should be visited before node14\nnode 22 should be visited before node19\nnode 22 should be visited before node12\nnode 22 should be visited before node5\nnode 23 should be visited before node4\nnode 23 should be visited before node16\nnode 23 should be visited before node0\nnode 23 should be visited before node8\nnode 23 should be visited before node6\nnode 23 should be visited before node17\nnode 23 should be visited before node14\nnode 23 should be visited before node10\nnode 23 should be visited before node24\nnode 23 should be visited before node21\nnode 23 should be visited before node1\nnode 23 should be visited before node12\nnode 24 should be visited before node19\nnode 24 should be visited before node7\nnode 24 should be visited before node21\nnode 24 should be visited before node12\nnode 24 should be visited before node2\nnode 25 should be visited before node23\nnode 25 should be visited before node4\nnode 25 should be visited before node0\nnode 25 should be visited before node15\nnode 25 should be visited before node10\nnode 25 should be visited before node24\nnode 25 should be visited before node7\nnode 25 should be visited before node2\nnode 25 should be visited before node9\nnode 26 should be visited before node1\nnode 26 should be visited before node12\nnode 26 should be visited before node2\nnode 26 should be visited before node9\nnode 26 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,11,20,18,22,13,25,23,4,16,0,8,6,15,17,14,10,24,26,19,21,7,1,2,12,9,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph419",
        "image": "data/topology/graph_visual/hard/graph419.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node12\nnode 0 should be visited before node7\nnode 1 should be visited before node23\nnode 1 should be visited before node8\nnode 1 should be visited before node4\nnode 1 should be visited before node24\nnode 1 should be visited before node12\nnode 1 should be visited before node25\nnode 2 should be visited before node25\nnode 3 should be visited before node8\nnode 3 should be visited before node24\nnode 3 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node7\nnode 5 should be visited before node14\nnode 5 should be visited before node12\nnode 5 should be visited before node25\nnode 6 should be visited before node9\nnode 6 should be visited before node24\nnode 6 should be visited before node25\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node25\nnode 10 should be visited before node8\nnode 10 should be visited before node6\nnode 10 should be visited before node21\nnode 10 should be visited before node24\nnode 10 should be visited before node7\nnode 11 should be visited before node15\nnode 11 should be visited before node24\nnode 11 should be visited before node12\nnode 11 should be visited before node25\nnode 12 should be visited before node25\nnode 13 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node8\nnode 13 should be visited before node24\nnode 13 should be visited before node0\nnode 13 should be visited before node7\nnode 13 should be visited before node25\nnode 14 should be visited before node0\nnode 14 should be visited before node25\nnode 15 should be visited before node10\nnode 15 should be visited before node21\nnode 15 should be visited before node24\nnode 16 should be visited before node27\nnode 16 should be visited before node18\nnode 16 should be visited before node20\nnode 16 should be visited before node22\nnode 16 should be visited before node11\nnode 16 should be visited before node8\nnode 16 should be visited before node4\nnode 16 should be visited before node2\nnode 16 should be visited before node25\nnode 17 should be visited before node18\nnode 17 should be visited before node10\nnode 17 should be visited before node9\nnode 17 should be visited before node24\nnode 17 should be visited before node7\nnode 18 should be visited before node28\nnode 18 should be visited before node3\nnode 18 should be visited before node15\nnode 18 should be visited before node4\nnode 18 should be visited before node21\nnode 18 should be visited before node14\nnode 18 should be visited before node25\nnode 19 should be visited before node22\nnode 19 should be visited before node23\nnode 19 should be visited before node11\nnode 19 should be visited before node4\nnode 19 should be visited before node0\nnode 19 should be visited before node7\nnode 19 should be visited before node25\nnode 20 should be visited before node11\nnode 20 should be visited before node13\nnode 20 should be visited before node15\nnode 20 should be visited before node8\nnode 20 should be visited before node0\nnode 20 should be visited before node25\nnode 21 should be visited before node24\nnode 21 should be visited before node14\nnode 21 should be visited before node12\nnode 22 should be visited before node13\nnode 22 should be visited before node10\nnode 22 should be visited before node9\nnode 22 should be visited before node24\nnode 22 should be visited before node2\nnode 23 should be visited before node15\nnode 23 should be visited before node10\nnode 23 should be visited before node6\nnode 23 should be visited before node14\nnode 23 should be visited before node7\nnode 24 should be visited before node5\nnode 24 should be visited before node25\nnode 26 should be visited before node22\nnode 26 should be visited before node13\nnode 26 should be visited before node15\nnode 26 should be visited before node10\nnode 26 should be visited before node21\nnode 26 should be visited before node24\nnode 26 should be visited before node12\nnode 26 should be visited before node7\nnode 27 should be visited before node23\nnode 27 should be visited before node13\nnode 27 should be visited before node15\nnode 27 should be visited before node6\nnode 27 should be visited before node9\nnode 27 should be visited before node0\nnode 27 should be visited before node2\nnode 28 should be visited before node22\nnode 28 should be visited before node23\nnode 28 should be visited before node3\nnode 28 should be visited before node15\nnode 28 should be visited before node8\nnode 28 should be visited before node5\nnode 28 should be visited before node12\nnode 28 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,16,17,19,26,27,20,18,11,28,22,23,13,15,3,10,8,6,21,4,9,24,2,5,14,0,12,7,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph1047",
        "image": "data/topology/graph_visual/hard/graph1047.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node26\nnode 0 should be visited before node14\nnode 0 should be visited before node4\nnode 0 should be visited before node30\nnode 0 should be visited before node23\nnode 0 should be visited before node15\nnode 0 should be visited before node1\nnode 0 should be visited before node16\nnode 0 should be visited before node3\nnode 0 should be visited before node9\nnode 1 should be visited before node28\nnode 1 should be visited before node18\nnode 1 should be visited before node27\nnode 1 should be visited before node9\nnode 2 should be visited before node19\nnode 2 should be visited before node33\nnode 2 should be visited before node21\nnode 2 should be visited before node26\nnode 2 should be visited before node4\nnode 2 should be visited before node30\nnode 2 should be visited before node1\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node9\nnode 3 should be visited before node9\nnode 4 should be visited before node30\nnode 4 should be visited before node13\nnode 4 should be visited before node23\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node3\nnode 5 should be visited before node31\nnode 5 should be visited before node2\nnode 5 should be visited before node10\nnode 5 should be visited before node33\nnode 5 should be visited before node20\nnode 5 should be visited before node0\nnode 5 should be visited before node24\nnode 5 should be visited before node26\nnode 5 should be visited before node14\nnode 5 should be visited before node4\nnode 5 should be visited before node11\nnode 5 should be visited before node30\nnode 5 should be visited before node23\nnode 5 should be visited before node1\nnode 5 should be visited before node3\nnode 6 should be visited before node17\nnode 6 should be visited before node12\nnode 6 should be visited before node31\nnode 6 should be visited before node19\nnode 6 should be visited before node32\nnode 6 should be visited before node21\nnode 6 should be visited before node29\nnode 6 should be visited before node24\nnode 6 should be visited before node26\nnode 6 should be visited before node14\nnode 6 should be visited before node13\nnode 6 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node18\nnode 6 should be visited before node8\nnode 6 should be visited before node9\nnode 7 should be visited before node25\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node19\nnode 7 should be visited before node20\nnode 7 should be visited before node29\nnode 7 should be visited before node0\nnode 7 should be visited before node26\nnode 7 should be visited before node14\nnode 7 should be visited before node11\nnode 7 should be visited before node30\nnode 7 should be visited before node15\nnode 7 should be visited before node28\nnode 7 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node27\nnode 8 should be visited before node9\nnode 10 should be visited before node20\nnode 10 should be visited before node23\nnode 10 should be visited before node28\nnode 11 should be visited before node30\nnode 11 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node1\nnode 11 should be visited before node22\nnode 11 should be visited before node3\nnode 12 should be visited before node25\nnode 12 should be visited before node5\nnode 12 should be visited before node2\nnode 12 should be visited before node19\nnode 12 should be visited before node20\nnode 12 should be visited before node29\nnode 12 should be visited before node0\nnode 12 should be visited before node26\nnode 12 should be visited before node11\nnode 12 should be visited before node30\nnode 12 should be visited before node23\nnode 12 should be visited before node15\nnode 12 should be visited before node1\nnode 12 should be visited before node18\nnode 12 should be visited before node3\nnode 12 should be visited before node8\nnode 12 should be visited before node27\nnode 13 should be visited before node23\nnode 13 should be visited before node1\nnode 13 should be visited before node28\nnode 13 should be visited before node18\nnode 13 should be visited before node22\nnode 13 should be visited before node8\nnode 13 should be visited before node27\nnode 13 should be visited before node9\nnode 14 should be visited before node4\nnode 14 should be visited before node11\nnode 14 should be visited before node22\nnode 14 should be visited before node8\nnode 14 should be visited before node27\nnode 15 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node22\nnode 15 should be visited before node8\nnode 15 should be visited before node27\nnode 15 should be visited before node9\nnode 16 should be visited before node28\nnode 16 should be visited before node18\nnode 16 should be visited before node22\nnode 16 should be visited before node8\nnode 16 should be visited before node9\nnode 17 should be visited before node7\nnode 17 should be visited before node2\nnode 17 should be visited before node10\nnode 17 should be visited before node32\nnode 17 should be visited before node33\nnode 17 should be visited before node20\nnode 17 should be visited before node29\nnode 17 should be visited before node24\nnode 17 should be visited before node14\nnode 17 should be visited before node4\nnode 17 should be visited before node11\nnode 17 should be visited before node30\nnode 17 should be visited before node13\nnode 17 should be visited before node15\nnode 17 should be visited before node28\nnode 18 should be visited before node22\nnode 18 should be visited before node27\nnode 19 should be visited before node29\nnode 19 should be visited before node0\nnode 19 should be visited before node26\nnode 19 should be visited before node4\nnode 19 should be visited before node11\nnode 19 should be visited before node23\nnode 19 should be visited before node15\nnode 19 should be visited before node1\nnode 19 should be visited before node16\nnode 19 should be visited before node18\nnode 19 should be visited before node27\nnode 20 should be visited before node29\nnode 20 should be visited before node24\nnode 20 should be visited before node26\nnode 20 should be visited before node30\nnode 20 should be visited before node13\nnode 20 should be visited before node15\nnode 20 should be visited before node1\nnode 20 should be visited before node28\nnode 20 should be visited before node18\nnode 20 should be visited before node8\nnode 20 should be visited before node27\nnode 21 should be visited before node20\nnode 21 should be visited before node29\nnode 21 should be visited before node0\nnode 21 should be visited before node4\nnode 21 should be visited before node23\nnode 21 should be visited before node1\nnode 21 should be visited before node16\nnode 21 should be visited before node18\nnode 21 should be visited before node8\nnode 22 should be visited before node3\nnode 22 should be visited before node8\nnode 22 should be visited before node27\nnode 22 should be visited before node9\nnode 23 should be visited before node15\nnode 23 should be visited before node1\nnode 23 should be visited before node28\nnode 23 should be visited before node22\nnode 23 should be visited before node3\nnode 23 should be visited before node8\nnode 23 should be visited before node9\nnode 24 should be visited before node14\nnode 24 should be visited before node11\nnode 24 should be visited before node13\nnode 24 should be visited before node23\nnode 24 should be visited before node15\nnode 24 should be visited before node16\nnode 24 should be visited before node22\nnode 24 should be visited before node27\nnode 24 should be visited before node9\nnode 25 should be visited before node19\nnode 25 should be visited before node32\nnode 25 should be visited before node33\nnode 25 should be visited before node26\nnode 25 should be visited before node30\nnode 25 should be visited before node13\nnode 25 should be visited before node23\nnode 25 should be visited before node1\nnode 25 should be visited before node18\nnode 25 should be visited before node22\nnode 26 should be visited before node11\nnode 26 should be visited before node15\nnode 26 should be visited before node28\nnode 26 should be visited before node18\nnode 26 should be visited before node22\nnode 26 should be visited before node3\nnode 26 should be visited before node8\nnode 26 should be visited before node27\nnode 27 should be visited before node9\nnode 28 should be visited before node22\nnode 28 should be visited before node3\nnode 28 should be visited before node9\nnode 29 should be visited before node26\nnode 29 should be visited before node4\nnode 29 should be visited before node11\nnode 29 should be visited before node1\nnode 29 should be visited before node16\nnode 29 should be visited before node28\nnode 29 should be visited before node27\nnode 29 should be visited before node9\nnode 30 should be visited before node13\nnode 30 should be visited before node15\nnode 30 should be visited before node16\nnode 30 should be visited before node3\nnode 30 should be visited before node8\nnode 30 should be visited before node9\nnode 31 should be visited before node2\nnode 31 should be visited before node10\nnode 31 should be visited before node19\nnode 31 should be visited before node33\nnode 31 should be visited before node21\nnode 31 should be visited before node24\nnode 31 should be visited before node26\nnode 31 should be visited before node14\nnode 31 should be visited before node4\nnode 31 should be visited before node30\nnode 31 should be visited before node13\nnode 31 should be visited before node23\nnode 31 should be visited before node15\nnode 31 should be visited before node16\nnode 31 should be visited before node18\nnode 31 should be visited before node22\nnode 31 should be visited before node3\nnode 31 should be visited before node8\nnode 31 should be visited before node27\nnode 32 should be visited before node20\nnode 32 should be visited before node29\nnode 32 should be visited before node0\nnode 32 should be visited before node24\nnode 32 should be visited before node4\nnode 32 should be visited before node13\nnode 32 should be visited before node15\nnode 32 should be visited before node1\nnode 32 should be visited before node28\nnode 32 should be visited before node18\nnode 32 should be visited before node8\nnode 33 should be visited before node0\nnode 33 should be visited before node26\nnode 33 should be visited before node11\nnode 33 should be visited before node13\nnode 33 should be visited before node23\nnode 33 should be visited before node15\nnode 33 should be visited before node28\nnode 33 should be visited before node22\nnode 33 should be visited before node8\nnode 33 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,17,12,7,25,5,32,31,2,10,19,33,21,20,0,29,24,26,14,4,11,30,13,23,15,1,16,28,18,22,3,8,27,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph507",
        "image": "data/topology/graph_visual/hard/graph507.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node23\nnode 0 should be visited before node9\nnode 0 should be visited before node15\nnode 0 should be visited before node29\nnode 0 should be visited before node11\nnode 0 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 4 should be visited before node24\nnode 4 should be visited before node13\nnode 4 should be visited before node14\nnode 4 should be visited before node17\nnode 4 should be visited before node3\nnode 4 should be visited before node8\nnode 5 should be visited before node10\nnode 5 should be visited before node13\nnode 5 should be visited before node23\nnode 5 should be visited before node9\nnode 5 should be visited before node8\nnode 6 should be visited before node5\nnode 6 should be visited before node19\nnode 6 should be visited before node24\nnode 6 should be visited before node13\nnode 6 should be visited before node29\nnode 6 should be visited before node11\nnode 6 should be visited before node8\nnode 7 should be visited before node22\nnode 7 should be visited before node24\nnode 7 should be visited before node2\nnode 7 should be visited before node21\nnode 7 should be visited before node11\nnode 9 should be visited before node17\nnode 9 should be visited before node29\nnode 9 should be visited before node21\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node8\nnode 10 should be visited before node4\nnode 10 should be visited before node0\nnode 10 should be visited before node17\nnode 10 should be visited before node16\nnode 10 should be visited before node11\nnode 11 should be visited before node8\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 13 should be visited before node15\nnode 13 should be visited before node21\nnode 13 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node29\nnode 14 should be visited before node16\nnode 15 should be visited before node16\nnode 15 should be visited before node1\nnode 16 should be visited before node11\nnode 16 should be visited before node8\nnode 17 should be visited before node2\nnode 17 should be visited before node21\nnode 17 should be visited before node8\nnode 18 should be visited before node6\nnode 18 should be visited before node24\nnode 18 should be visited before node0\nnode 18 should be visited before node14\nnode 18 should be visited before node17\nnode 18 should be visited before node2\nnode 18 should be visited before node29\nnode 18 should be visited before node3\nnode 18 should be visited before node1\nnode 18 should be visited before node8\nnode 19 should be visited before node24\nnode 19 should be visited before node23\nnode 19 should be visited before node17\nnode 19 should be visited before node2\nnode 19 should be visited before node15\nnode 19 should be visited before node21\nnode 19 should be visited before node3\nnode 19 should be visited before node8\nnode 20 should be visited before node23\nnode 20 should be visited before node11\nnode 20 should be visited before node3\nnode 21 should be visited before node16\nnode 21 should be visited before node11\nnode 21 should be visited before node3\nnode 21 should be visited before node8\nnode 22 should be visited before node5\nnode 22 should be visited before node19\nnode 22 should be visited before node24\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 22 should be visited before node1\nnode 23 should be visited before node14\nnode 23 should be visited before node17\nnode 23 should be visited before node21\nnode 23 should be visited before node8\nnode 24 should be visited before node13\nnode 24 should be visited before node14\nnode 24 should be visited before node9\nnode 24 should be visited before node17\nnode 24 should be visited before node2\nnode 24 should be visited before node11\nnode 25 should be visited before node22\nnode 25 should be visited before node19\nnode 25 should be visited before node23\nnode 25 should be visited before node9\nnode 25 should be visited before node16\nnode 26 should be visited before node25\nnode 26 should be visited before node5\nnode 26 should be visited before node20\nnode 26 should be visited before node24\nnode 26 should be visited before node0\nnode 27 should be visited before node28\nnode 27 should be visited before node6\nnode 27 should be visited before node0\nnode 27 should be visited before node13\nnode 27 should be visited before node23\nnode 27 should be visited before node14\nnode 27 should be visited before node16\nnode 27 should be visited before node11\nnode 28 should be visited before node4\nnode 28 should be visited before node24\nnode 28 should be visited before node0\nnode 28 should be visited before node14\nnode 28 should be visited before node2\nnode 28 should be visited before node21\nnode 28 should be visited before node3\nnode 28 should be visited before node1\nnode 29 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,12,18,26,27,25,20,28,6,22,5,19,10,4,0,24,23,13,9,14,15,17,29,2,21,1,16,3,11,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph620",
        "image": "data/topology/graph_visual/hard/graph620.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node27\nnode 0 should be visited before node14\nnode 0 should be visited before node20\nnode 0 should be visited before node16\nnode 0 should be visited before node24\nnode 1 should be visited before node20\nnode 1 should be visited before node13\nnode 1 should be visited before node7\nnode 1 should be visited before node23\nnode 2 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 3 should be visited before node23\nnode 3 should be visited before node19\nnode 4 should be visited before node22\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 4 should be visited before node8\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 5 should be visited before node29\nnode 5 should be visited before node8\nnode 5 should be visited before node21\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 6 should be visited before node18\nnode 6 should be visited before node0\nnode 6 should be visited before node25\nnode 6 should be visited before node27\nnode 6 should be visited before node26\nnode 6 should be visited before node13\nnode 6 should be visited before node16\nnode 6 should be visited before node23\nnode 8 should be visited before node12\nnode 8 should be visited before node6\nnode 8 should be visited before node25\nnode 8 should be visited before node1\nnode 9 should be visited before node28\nnode 9 should be visited before node12\nnode 9 should be visited before node21\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node25\nnode 9 should be visited before node27\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node24\nnode 10 should be visited before node22\nnode 10 should be visited before node5\nnode 10 should be visited before node28\nnode 10 should be visited before node29\nnode 10 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node13\nnode 10 should be visited before node16\nnode 11 should be visited before node4\nnode 11 should be visited before node5\nnode 11 should be visited before node0\nnode 11 should be visited before node13\nnode 11 should be visited before node17\nnode 11 should be visited before node23\nnode 12 should be visited before node6\nnode 12 should be visited before node0\nnode 12 should be visited before node26\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node23\nnode 13 should be visited before node19\nnode 14 should be visited before node20\nnode 14 should be visited before node13\nnode 14 should be visited before node16\nnode 15 should be visited before node10\nnode 15 should be visited before node22\nnode 15 should be visited before node28\nnode 15 should be visited before node8\nnode 15 should be visited before node21\nnode 15 should be visited before node18\nnode 15 should be visited before node16\nnode 16 should be visited before node23\nnode 16 should be visited before node19\nnode 17 should be visited before node19\nnode 18 should be visited before node0\nnode 18 should be visited before node27\nnode 18 should be visited before node13\nnode 18 should be visited before node17\nnode 20 should be visited before node13\nnode 20 should be visited before node17\nnode 20 should be visited before node16\nnode 20 should be visited before node19\nnode 21 should be visited before node6\nnode 21 should be visited before node17\nnode 21 should be visited before node3\nnode 21 should be visited before node16\nnode 22 should be visited before node9\nnode 22 should be visited before node29\nnode 22 should be visited before node0\nnode 22 should be visited before node25\nnode 22 should be visited before node19\nnode 25 should be visited before node27\nnode 25 should be visited before node19\nnode 26 should be visited before node2\nnode 26 should be visited before node14\nnode 26 should be visited before node16\nnode 27 should be visited before node2\nnode 27 should be visited before node13\nnode 27 should be visited before node23\nnode 28 should be visited before node21\nnode 28 should be visited before node6\nnode 28 should be visited before node18\nnode 28 should be visited before node14\nnode 28 should be visited before node20\nnode 28 should be visited before node13\nnode 28 should be visited before node19\nnode 29 should be visited before node6\nnode 29 should be visited before node18\nnode 29 should be visited before node25\nnode 29 should be visited before node7\nnode 29 should be visited before node19\nnode 30 should be visited before node22\nnode 30 should be visited before node28\nnode 30 should be visited before node27\nnode 30 should be visited before node26\nnode 30 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,15,30,4,10,22,5,9,29,8,28,12,1,21,6,18,25,26,0,27,14,24,2,20,3,13,16,17,7,23,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph517",
        "image": "data/topology/graph_visual/hard/graph517.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node13\nnode 1 should be visited before node29\nnode 2 should be visited before node9\nnode 2 should be visited before node27\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 2 should be visited before node15\nnode 2 should be visited before node23\nnode 2 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node5\nnode 2 should be visited before node13\nnode 3 should be visited before node23\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node29\nnode 3 should be visited before node5\nnode 4 should be visited before node2\nnode 4 should be visited before node22\nnode 4 should be visited before node12\nnode 4 should be visited before node19\nnode 4 should be visited before node3\nnode 4 should be visited before node20\nnode 4 should be visited before node8\nnode 4 should be visited before node24\nnode 4 should be visited before node0\nnode 6 should be visited before node27\nnode 6 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node20\nnode 6 should be visited before node21\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 7 should be visited before node21\nnode 7 should be visited before node11\nnode 7 should be visited before node18\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node29\nnode 8 should be visited before node11\nnode 8 should be visited before node24\nnode 8 should be visited before node1\nnode 8 should be visited before node29\nnode 9 should be visited before node19\nnode 9 should be visited before node10\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node13\nnode 10 should be visited before node8\nnode 10 should be visited before node29\nnode 11 should be visited before node14\nnode 11 should be visited before node18\nnode 11 should be visited before node1\nnode 11 should be visited before node29\nnode 11 should be visited before node13\nnode 12 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node21\nnode 12 should be visited before node11\nnode 12 should be visited before node18\nnode 12 should be visited before node24\nnode 12 should be visited before node0\nnode 14 should be visited before node18\nnode 14 should be visited before node0\nnode 15 should be visited before node23\nnode 15 should be visited before node20\nnode 15 should be visited before node18\nnode 15 should be visited before node24\nnode 15 should be visited before node5\nnode 16 should be visited before node15\nnode 16 should be visited before node8\nnode 16 should be visited before node21\nnode 17 should be visited before node12\nnode 17 should be visited before node19\nnode 17 should be visited before node7\nnode 17 should be visited before node24\nnode 17 should be visited before node0\nnode 17 should be visited before node29\nnode 17 should be visited before node13\nnode 19 should be visited before node23\nnode 19 should be visited before node24\nnode 19 should be visited before node1\nnode 19 should be visited before node29\nnode 20 should be visited before node24\nnode 20 should be visited before node1\nnode 20 should be visited before node0\nnode 20 should be visited before node29\nnode 21 should be visited before node11\nnode 21 should be visited before node0\nnode 22 should be visited before node26\nnode 22 should be visited before node12\nnode 22 should be visited before node16\nnode 22 should be visited before node23\nnode 22 should be visited before node8\nnode 22 should be visited before node21\nnode 22 should be visited before node11\nnode 22 should be visited before node24\nnode 23 should be visited before node8\nnode 23 should be visited before node21\nnode 23 should be visited before node11\nnode 23 should be visited before node18\nnode 23 should be visited before node24\nnode 23 should be visited before node0\nnode 24 should be visited before node1\nnode 25 should be visited before node26\nnode 25 should be visited before node19\nnode 25 should be visited before node15\nnode 25 should be visited before node3\nnode 25 should be visited before node21\nnode 25 should be visited before node14\nnode 25 should be visited before node13\nnode 26 should be visited before node27\nnode 26 should be visited before node16\nnode 26 should be visited before node15\nnode 26 should be visited before node7\nnode 26 should be visited before node1\nnode 26 should be visited before node29\nnode 27 should be visited before node23\nnode 27 should be visited before node20\nnode 27 should be visited before node14\nnode 27 should be visited before node24\nnode 27 should be visited before node1\nnode 28 should be visited before node25\nnode 28 should be visited before node22\nnode 28 should be visited before node19\nnode 28 should be visited before node15\nnode 28 should be visited before node3\nnode 28 should be visited before node23\nnode 28 should be visited before node21\nnode 28 should be visited before node11\nnode 28 should be visited before node18\nnode 28 should be visited before node5\nnode 29 should be visited before node5\nnode 29 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,6,17,28,2,25,22,9,3,26,12,19,27,16,7,10,15,23,20,8,21,24,11,14,1,18,0,29,5,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph1076",
        "image": "data/topology/graph_visual/hard/graph1076.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node21\nnode 0 should be visited before node24\nnode 0 should be visited before node9\nnode 0 should be visited before node6\nnode 0 should be visited before node12\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 0 should be visited before node28\nnode 0 should be visited before node30\nnode 0 should be visited before node33\nnode 1 should be visited before node31\nnode 1 should be visited before node19\nnode 1 should be visited before node12\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 1 should be visited before node18\nnode 1 should be visited before node23\nnode 1 should be visited before node26\nnode 1 should be visited before node15\nnode 1 should be visited before node28\nnode 1 should be visited before node30\nnode 1 should be visited before node13\nnode 2 should be visited before node27\nnode 2 should be visited before node4\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 2 should be visited before node29\nnode 2 should be visited before node21\nnode 2 should be visited before node20\nnode 2 should be visited before node24\nnode 2 should be visited before node1\nnode 2 should be visited before node11\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 2 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node28\nnode 2 should be visited before node33\nnode 2 should be visited before node13\nnode 3 should be visited before node32\nnode 3 should be visited before node7\nnode 3 should be visited before node29\nnode 3 should be visited before node24\nnode 3 should be visited before node6\nnode 3 should be visited before node25\nnode 3 should be visited before node19\nnode 3 should be visited before node5\nnode 3 should be visited before node11\nnode 3 should be visited before node18\nnode 3 should be visited before node23\nnode 3 should be visited before node15\nnode 3 should be visited before node30\nnode 3 should be visited before node33\nnode 4 should be visited before node3\nnode 4 should be visited before node32\nnode 4 should be visited before node29\nnode 4 should be visited before node21\nnode 4 should be visited before node1\nnode 4 should be visited before node25\nnode 4 should be visited before node12\nnode 4 should be visited before node10\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node18\nnode 4 should be visited before node15\nnode 4 should be visited before node17\nnode 4 should be visited before node33\nnode 5 should be visited before node10\nnode 5 should be visited before node11\nnode 5 should be visited before node8\nnode 5 should be visited before node14\nnode 5 should be visited before node26\nnode 5 should be visited before node17\nnode 5 should be visited before node28\nnode 5 should be visited before node30\nnode 5 should be visited before node13\nnode 6 should be visited before node31\nnode 6 should be visited before node19\nnode 6 should be visited before node12\nnode 6 should be visited before node11\nnode 6 should be visited before node23\nnode 6 should be visited before node26\nnode 6 should be visited before node17\nnode 6 should be visited before node28\nnode 7 should be visited before node21\nnode 7 should be visited before node1\nnode 7 should be visited before node25\nnode 7 should be visited before node19\nnode 7 should be visited before node10\nnode 7 should be visited before node15\nnode 7 should be visited before node17\nnode 7 should be visited before node30\nnode 8 should be visited before node18\nnode 8 should be visited before node14\nnode 8 should be visited before node23\nnode 8 should be visited before node26\nnode 8 should be visited before node15\nnode 8 should be visited before node28\nnode 8 should be visited before node13\nnode 9 should be visited before node25\nnode 9 should be visited before node19\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 9 should be visited before node15\nnode 9 should be visited before node28\nnode 9 should be visited before node33\nnode 9 should be visited before node13\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node14\nnode 10 should be visited before node26\nnode 10 should be visited before node33\nnode 11 should be visited before node8\nnode 11 should be visited before node23\nnode 11 should be visited before node26\nnode 11 should be visited before node28\nnode 11 should be visited before node30\nnode 11 should be visited before node13\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node14\nnode 12 should be visited before node23\nnode 12 should be visited before node26\nnode 12 should be visited before node17\nnode 12 should be visited before node28\nnode 12 should be visited before node30\nnode 12 should be visited before node13\nnode 14 should be visited before node17\nnode 15 should be visited before node17\nnode 15 should be visited before node28\nnode 15 should be visited before node30\nnode 15 should be visited before node33\nnode 15 should be visited before node13\nnode 16 should be visited before node4\nnode 16 should be visited before node32\nnode 16 should be visited before node7\nnode 16 should be visited before node20\nnode 16 should be visited before node24\nnode 16 should be visited before node25\nnode 16 should be visited before node31\nnode 16 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node18\nnode 16 should be visited before node23\nnode 16 should be visited before node26\nnode 16 should be visited before node15\nnode 16 should be visited before node17\nnode 16 should be visited before node28\nnode 16 should be visited before node30\nnode 17 should be visited before node30\nnode 18 should be visited before node23\nnode 18 should be visited before node17\nnode 18 should be visited before node28\nnode 18 should be visited before node33\nnode 19 should be visited before node12\nnode 19 should be visited before node5\nnode 19 should be visited before node11\nnode 19 should be visited before node8\nnode 19 should be visited before node18\nnode 19 should be visited before node23\nnode 19 should be visited before node26\nnode 19 should be visited before node15\nnode 19 should be visited before node28\nnode 20 should be visited before node6\nnode 20 should be visited before node19\nnode 20 should be visited before node5\nnode 20 should be visited before node14\nnode 20 should be visited before node23\nnode 20 should be visited before node26\nnode 20 should be visited before node15\nnode 20 should be visited before node17\nnode 20 should be visited before node28\nnode 20 should be visited before node30\nnode 20 should be visited before node33\nnode 20 should be visited before node13\nnode 21 should be visited before node24\nnode 21 should be visited before node1\nnode 21 should be visited before node12\nnode 21 should be visited before node11\nnode 21 should be visited before node8\nnode 21 should be visited before node23\nnode 21 should be visited before node26\nnode 21 should be visited before node15\nnode 21 should be visited before node17\nnode 21 should be visited before node28\nnode 21 should be visited before node30\nnode 22 should be visited before node27\nnode 22 should be visited before node4\nnode 22 should be visited before node7\nnode 22 should be visited before node21\nnode 22 should be visited before node20\nnode 22 should be visited before node1\nnode 22 should be visited before node19\nnode 22 should be visited before node12\nnode 22 should be visited before node5\nnode 22 should be visited before node10\nnode 22 should be visited before node8\nnode 22 should be visited before node14\nnode 22 should be visited before node15\nnode 22 should be visited before node28\nnode 22 should be visited before node30\nnode 22 should be visited before node13\nnode 23 should be visited before node15\nnode 23 should be visited before node28\nnode 23 should be visited before node13\nnode 24 should be visited before node1\nnode 24 should be visited before node6\nnode 24 should be visited before node19\nnode 24 should be visited before node12\nnode 24 should be visited before node5\nnode 24 should be visited before node10\nnode 24 should be visited before node11\nnode 24 should be visited before node8\nnode 24 should be visited before node18\nnode 24 should be visited before node14\nnode 24 should be visited before node23\nnode 24 should be visited before node15\nnode 24 should be visited before node13\nnode 25 should be visited before node12\nnode 25 should be visited before node18\nnode 25 should be visited before node26\nnode 25 should be visited before node15\nnode 25 should be visited before node28\nnode 25 should be visited before node30\nnode 26 should be visited before node17\nnode 26 should be visited before node30\nnode 26 should be visited before node33\nnode 26 should be visited before node13\nnode 27 should be visited before node4\nnode 27 should be visited before node3\nnode 27 should be visited before node7\nnode 27 should be visited before node0\nnode 27 should be visited before node29\nnode 27 should be visited before node24\nnode 27 should be visited before node25\nnode 27 should be visited before node31\nnode 27 should be visited before node11\nnode 27 should be visited before node8\nnode 27 should be visited before node18\nnode 27 should be visited before node28\nnode 27 should be visited before node33\nnode 28 should be visited before node30\nnode 28 should be visited before node13\nnode 29 should be visited before node1\nnode 29 should be visited before node6\nnode 29 should be visited before node25\nnode 29 should be visited before node19\nnode 29 should be visited before node12\nnode 29 should be visited before node5\nnode 29 should be visited before node11\nnode 29 should be visited before node8\nnode 29 should be visited before node18\nnode 29 should be visited before node14\nnode 29 should be visited before node17\nnode 29 should be visited before node30\nnode 29 should be visited before node33\nnode 31 should be visited before node19\nnode 31 should be visited before node12\nnode 31 should be visited before node5\nnode 31 should be visited before node8\nnode 31 should be visited before node18\nnode 31 should be visited before node15\nnode 31 should be visited before node17\nnode 31 should be visited before node28\nnode 31 should be visited before node30\nnode 31 should be visited before node13\nnode 32 should be visited before node31\nnode 32 should be visited before node10\nnode 32 should be visited before node18\nnode 32 should be visited before node26\nnode 32 should be visited before node15\nnode 32 should be visited before node17\nnode 32 should be visited before node30\nnode 32 should be visited before node33\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,16,22,27,20,4,0,3,9,32,7,29,21,25,24,1,6,31,19,12,5,10,11,8,18,14,26,23,15,17,28,33,30,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph1145",
        "image": "data/topology/graph_visual/hard/graph1145.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node28\nnode 0 should be visited before node32\nnode 0 should be visited before node8\nnode 1 should be visited before node21\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node27\nnode 1 should be visited before node26\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 1 should be visited before node13\nnode 2 should be visited before node25\nnode 2 should be visited before node26\nnode 2 should be visited before node9\nnode 2 should be visited before node0\nnode 2 should be visited before node28\nnode 2 should be visited before node13\nnode 3 should be visited before node10\nnode 3 should be visited before node19\nnode 3 should be visited before node33\nnode 3 should be visited before node24\nnode 3 should be visited before node2\nnode 3 should be visited before node29\nnode 3 should be visited before node14\nnode 3 should be visited before node22\nnode 3 should be visited before node25\nnode 3 should be visited before node0\nnode 3 should be visited before node13\nnode 3 should be visited before node32\nnode 4 should be visited before node15\nnode 4 should be visited before node6\nnode 4 should be visited before node34\nnode 4 should be visited before node17\nnode 4 should be visited before node1\nnode 4 should be visited before node3\nnode 4 should be visited before node11\nnode 4 should be visited before node19\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 4 should be visited before node29\nnode 4 should be visited before node14\nnode 4 should be visited before node22\nnode 4 should be visited before node25\nnode 4 should be visited before node9\nnode 4 should be visited before node0\nnode 4 should be visited before node28\nnode 4 should be visited before node13\nnode 4 should be visited before node32\nnode 4 should be visited before node8\nnode 5 should be visited before node17\nnode 5 should be visited before node23\nnode 5 should be visited before node11\nnode 5 should be visited before node19\nnode 5 should be visited before node33\nnode 5 should be visited before node20\nnode 5 should be visited before node29\nnode 5 should be visited before node22\nnode 5 should be visited before node26\nnode 5 should be visited before node9\nnode 5 should be visited before node0\nnode 5 should be visited before node28\nnode 5 should be visited before node13\nnode 5 should be visited before node32\nnode 5 should be visited before node8\nnode 6 should be visited before node34\nnode 6 should be visited before node1\nnode 6 should be visited before node21\nnode 6 should be visited before node10\nnode 6 should be visited before node18\nnode 6 should be visited before node33\nnode 6 should be visited before node2\nnode 6 should be visited before node27\nnode 6 should be visited before node20\nnode 6 should be visited before node29\nnode 6 should be visited before node14\nnode 6 should be visited before node26\nnode 6 should be visited before node9\nnode 6 should be visited before node28\nnode 6 should be visited before node13\nnode 6 should be visited before node32\nnode 7 should be visited before node15\nnode 7 should be visited before node23\nnode 7 should be visited before node3\nnode 7 should be visited before node11\nnode 7 should be visited before node10\nnode 7 should be visited before node19\nnode 7 should be visited before node33\nnode 7 should be visited before node29\nnode 7 should be visited before node14\nnode 7 should be visited before node25\nnode 7 should be visited before node0\nnode 7 should be visited before node32\nnode 7 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node32\nnode 10 should be visited before node19\nnode 10 should be visited before node33\nnode 10 should be visited before node2\nnode 10 should be visited before node27\nnode 10 should be visited before node29\nnode 10 should be visited before node22\nnode 10 should be visited before node25\nnode 10 should be visited before node9\nnode 10 should be visited before node0\nnode 10 should be visited before node13\nnode 11 should be visited before node10\nnode 11 should be visited before node2\nnode 11 should be visited before node27\nnode 11 should be visited before node20\nnode 11 should be visited before node29\nnode 11 should be visited before node14\nnode 11 should be visited before node22\nnode 11 should be visited before node25\nnode 11 should be visited before node9\nnode 11 should be visited before node28\nnode 11 should be visited before node8\nnode 12 should be visited before node16\nnode 12 should be visited before node30\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node6\nnode 12 should be visited before node1\nnode 12 should be visited before node21\nnode 12 should be visited before node11\nnode 12 should be visited before node10\nnode 12 should be visited before node19\nnode 12 should be visited before node24\nnode 12 should be visited before node2\nnode 12 should be visited before node27\nnode 12 should be visited before node14\nnode 12 should be visited before node22\nnode 12 should be visited before node26\nnode 12 should be visited before node28\nnode 12 should be visited before node8\nnode 14 should be visited before node26\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node32\nnode 14 should be visited before node8\nnode 15 should be visited before node5\nnode 15 should be visited before node34\nnode 15 should be visited before node1\nnode 15 should be visited before node23\nnode 15 should be visited before node21\nnode 15 should be visited before node3\nnode 15 should be visited before node11\nnode 15 should be visited before node27\nnode 15 should be visited before node20\nnode 15 should be visited before node29\nnode 15 should be visited before node32\nnode 16 should be visited before node31\nnode 16 should be visited before node30\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node6\nnode 16 should be visited before node1\nnode 16 should be visited before node23\nnode 16 should be visited before node21\nnode 16 should be visited before node3\nnode 16 should be visited before node19\nnode 16 should be visited before node33\nnode 16 should be visited before node20\nnode 16 should be visited before node29\nnode 16 should be visited before node22\nnode 16 should be visited before node26\nnode 16 should be visited before node28\nnode 16 should be visited before node32\nnode 17 should be visited before node23\nnode 17 should be visited before node21\nnode 17 should be visited before node10\nnode 17 should be visited before node18\nnode 17 should be visited before node33\nnode 17 should be visited before node20\nnode 17 should be visited before node22\nnode 17 should be visited before node26\nnode 17 should be visited before node9\nnode 17 should be visited before node0\nnode 17 should be visited before node28\nnode 17 should be visited before node13\nnode 17 should be visited before node32\nnode 17 should be visited before node8\nnode 18 should be visited before node33\nnode 18 should be visited before node2\nnode 18 should be visited before node20\nnode 18 should be visited before node29\nnode 18 should be visited before node22\nnode 18 should be visited before node13\nnode 18 should be visited before node32\nnode 18 should be visited before node8\nnode 19 should be visited before node2\nnode 19 should be visited before node27\nnode 19 should be visited before node20\nnode 19 should be visited before node14\nnode 19 should be visited before node22\nnode 19 should be visited before node26\nnode 19 should be visited before node28\nnode 19 should be visited before node32\nnode 20 should be visited before node29\nnode 20 should be visited before node25\nnode 20 should be visited before node26\nnode 20 should be visited before node9\nnode 20 should be visited before node0\nnode 20 should be visited before node13\nnode 21 should be visited before node19\nnode 21 should be visited before node2\nnode 21 should be visited before node27\nnode 21 should be visited before node29\nnode 21 should be visited before node14\nnode 21 should be visited before node25\nnode 21 should be visited before node0\nnode 22 should be visited before node25\nnode 22 should be visited before node26\nnode 22 should be visited before node0\nnode 22 should be visited before node28\nnode 22 should be visited before node8\nnode 23 should be visited before node21\nnode 23 should be visited before node10\nnode 23 should be visited before node33\nnode 23 should be visited before node24\nnode 23 should be visited before node2\nnode 23 should be visited before node14\nnode 23 should be visited before node28\nnode 23 should be visited before node8\nnode 24 should be visited before node2\nnode 24 should be visited before node20\nnode 24 should be visited before node29\nnode 24 should be visited before node25\nnode 24 should be visited before node26\nnode 24 should be visited before node9\nnode 24 should be visited before node0\nnode 25 should be visited before node26\nnode 25 should be visited before node9\nnode 25 should be visited before node13\nnode 26 should be visited before node28\nnode 26 should be visited before node8\nnode 27 should be visited before node26\nnode 27 should be visited before node13\nnode 27 should be visited before node32\nnode 27 should be visited before node8\nnode 29 should be visited before node14\nnode 29 should be visited before node26\nnode 29 should be visited before node9\nnode 29 should be visited before node0\nnode 29 should be visited before node28\nnode 29 should be visited before node8\nnode 30 should be visited before node5\nnode 30 should be visited before node34\nnode 30 should be visited before node17\nnode 30 should be visited before node23\nnode 30 should be visited before node21\nnode 30 should be visited before node3\nnode 30 should be visited before node11\nnode 30 should be visited before node19\nnode 30 should be visited before node33\nnode 30 should be visited before node2\nnode 30 should be visited before node14\nnode 30 should be visited before node25\nnode 30 should be visited before node26\nnode 30 should be visited before node32\nnode 30 should be visited before node8\nnode 31 should be visited before node30\nnode 31 should be visited before node4\nnode 31 should be visited before node7\nnode 31 should be visited before node15\nnode 31 should be visited before node6\nnode 31 should be visited before node23\nnode 31 should be visited before node3\nnode 31 should be visited before node18\nnode 31 should be visited before node24\nnode 31 should be visited before node20\nnode 31 should be visited before node26\nnode 31 should be visited before node9\nnode 31 should be visited before node0\nnode 31 should be visited before node28\nnode 32 should be visited before node8\nnode 33 should be visited before node24\nnode 33 should be visited before node29\nnode 33 should be visited before node14\nnode 33 should be visited before node9\nnode 33 should be visited before node28\nnode 33 should be visited before node8\nnode 34 should be visited before node17\nnode 34 should be visited before node21\nnode 34 should be visited before node10\nnode 34 should be visited before node19\nnode 34 should be visited before node33\nnode 34 should be visited before node24\nnode 34 should be visited before node2\nnode 34 should be visited before node29\nnode 34 should be visited before node14\nnode 34 should be visited before node22\nnode 34 should be visited before node0\nnode 34 should be visited before node13\nnode 34 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,16,31,30,4,7,6,15,5,34,1,11,17,3,23,18,21,10,19,33,27,22,24,2,20,29,25,14,9,26,13,0,28,32,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph501",
        "image": "data/topology/graph_visual/hard/graph501.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node17\nnode 0 should be visited before node13\nnode 0 should be visited before node29\nnode 1 should be visited before node15\nnode 1 should be visited before node3\nnode 1 should be visited before node7\nnode 1 should be visited before node10\nnode 1 should be visited before node13\nnode 1 should be visited before node29\nnode 2 should be visited before node27\nnode 2 should be visited before node24\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 4 should be visited before node27\nnode 4 should be visited before node1\nnode 4 should be visited before node19\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node10\nnode 4 should be visited before node29\nnode 5 should be visited before node22\nnode 5 should be visited before node27\nnode 5 should be visited before node17\nnode 5 should be visited before node10\nnode 5 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node21\nnode 6 should be visited before node26\nnode 6 should be visited before node3\nnode 6 should be visited before node9\nnode 6 should be visited before node0\nnode 6 should be visited before node23\nnode 6 should be visited before node13\nnode 7 should be visited before node10\nnode 8 should be visited before node6\nnode 8 should be visited before node4\nnode 8 should be visited before node27\nnode 8 should be visited before node1\nnode 8 should be visited before node25\nnode 8 should be visited before node24\nnode 8 should be visited before node19\nnode 8 should be visited before node0\nnode 8 should be visited before node17\nnode 8 should be visited before node7\nnode 9 should be visited before node17\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 9 should be visited before node13\nnode 9 should be visited before node29\nnode 9 should be visited before node16\nnode 10 should be visited before node13\nnode 10 should be visited before node29\nnode 10 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node6\nnode 11 should be visited before node22\nnode 11 should be visited before node26\nnode 11 should be visited before node15\nnode 11 should be visited before node19\nnode 11 should be visited before node9\nnode 11 should be visited before node0\nnode 11 should be visited before node23\nnode 11 should be visited before node10\nnode 11 should be visited before node29\nnode 12 should be visited before node20\nnode 12 should be visited before node27\nnode 12 should be visited before node25\nnode 12 should be visited before node24\nnode 12 should be visited before node3\nnode 12 should be visited before node9\nnode 12 should be visited before node0\nnode 12 should be visited before node17\nnode 12 should be visited before node13\nnode 13 should be visited before node29\nnode 14 should be visited before node20\nnode 14 should be visited before node2\nnode 14 should be visited before node27\nnode 14 should be visited before node1\nnode 14 should be visited before node26\nnode 14 should be visited before node24\nnode 14 should be visited before node19\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 15 should be visited before node0\nnode 15 should be visited before node16\nnode 17 should be visited before node23\nnode 18 should be visited before node15\nnode 18 should be visited before node9\nnode 18 should be visited before node0\nnode 18 should be visited before node7\nnode 18 should be visited before node23\nnode 19 should be visited before node9\nnode 19 should be visited before node17\nnode 19 should be visited before node10\nnode 19 should be visited before node16\nnode 20 should be visited before node2\nnode 20 should be visited before node1\nnode 20 should be visited before node25\nnode 20 should be visited before node9\nnode 20 should be visited before node17\nnode 21 should be visited before node26\nnode 21 should be visited before node15\nnode 21 should be visited before node17\nnode 21 should be visited before node23\nnode 21 should be visited before node16\nnode 22 should be visited before node21\nnode 22 should be visited before node0\nnode 22 should be visited before node23\nnode 22 should be visited before node13\nnode 22 should be visited before node29\nnode 23 should be visited before node13\nnode 24 should be visited before node19\nnode 24 should be visited before node13\nnode 25 should be visited before node3\nnode 26 should be visited before node19\nnode 26 should be visited before node0\nnode 27 should be visited before node1\nnode 27 should be visited before node0\nnode 27 should be visited before node7\nnode 27 should be visited before node10\nnode 27 should be visited before node29\nnode 28 should be visited before node8\nnode 28 should be visited before node20\nnode 28 should be visited before node18\nnode 28 should be visited before node26\nnode 28 should be visited before node3\nnode 28 should be visited before node0\nnode 28 should be visited before node23\nnode 28 should be visited before node13\nnode 28 should be visited before node29\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,11,12,14,28,22,8,20,18,6,4,2,25,21,27,24,26,1,19,15,3,0,9,17,7,23,10,13,16,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph444",
        "image": "data/topology/graph_visual/hard/graph444.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node28\nnode 1 should be visited before node15\nnode 1 should be visited before node22\nnode 1 should be visited before node13\nnode 1 should be visited before node16\nnode 2 should be visited before node20\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 2 should be visited before node21\nnode 2 should be visited before node13\nnode 2 should be visited before node16\nnode 3 should be visited before node2\nnode 3 should be visited before node20\nnode 3 should be visited before node12\nnode 3 should be visited before node18\nnode 3 should be visited before node22\nnode 3 should be visited before node13\nnode 4 should be visited before node9\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node23\nnode 4 should be visited before node19\nnode 4 should be visited before node25\nnode 4 should be visited before node5\nnode 4 should be visited before node24\nnode 4 should be visited before node3\nnode 4 should be visited before node20\nnode 4 should be visited before node1\nnode 4 should be visited before node12\nnode 4 should be visited before node15\nnode 4 should be visited before node18\nnode 4 should be visited before node16\nnode 5 should be visited before node20\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 5 should be visited before node21\nnode 5 should be visited before node0\nnode 5 should be visited before node15\nnode 5 should be visited before node18\nnode 6 should be visited before node4\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node8\nnode 6 should be visited before node25\nnode 6 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node21\nnode 6 should be visited before node0\nnode 6 should be visited before node18\nnode 6 should be visited before node22\nnode 6 should be visited before node16\nnode 7 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node14\nnode 7 should be visited before node26\nnode 7 should be visited before node17\nnode 7 should be visited before node24\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node16\nnode 8 should be visited before node26\nnode 8 should be visited before node23\nnode 8 should be visited before node25\nnode 8 should be visited before node5\nnode 8 should be visited before node20\nnode 8 should be visited before node12\nnode 8 should be visited before node28\nnode 8 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node25\nnode 9 should be visited before node5\nnode 9 should be visited before node24\nnode 9 should be visited before node20\nnode 9 should be visited before node1\nnode 9 should be visited before node12\nnode 9 should be visited before node21\nnode 9 should be visited before node28\nnode 9 should be visited before node22\nnode 9 should be visited before node16\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node26\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node20\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node21\nnode 10 should be visited before node28\nnode 10 should be visited before node16\nnode 11 should be visited before node8\nnode 11 should be visited before node19\nnode 11 should be visited before node24\nnode 11 should be visited before node2\nnode 11 should be visited before node21\nnode 11 should be visited before node0\nnode 11 should be visited before node28\nnode 12 should be visited before node13\nnode 12 should be visited before node16\nnode 13 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node26\nnode 14 should be visited before node23\nnode 14 should be visited before node19\nnode 14 should be visited before node24\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 14 should be visited before node28\nnode 14 should be visited before node15\nnode 14 should be visited before node22\nnode 14 should be visited before node13\nnode 14 should be visited before node16\nnode 15 should be visited before node18\nnode 15 should be visited before node22\nnode 15 should be visited before node13\nnode 15 should be visited before node16\nnode 17 should be visited before node5\nnode 17 should be visited before node24\nnode 17 should be visited before node3\nnode 17 should be visited before node20\nnode 17 should be visited before node21\nnode 17 should be visited before node0\nnode 17 should be visited before node22\nnode 18 should be visited before node13\nnode 19 should be visited before node17\nnode 19 should be visited before node25\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node3\nnode 19 should be visited before node2\nnode 19 should be visited before node20\nnode 19 should be visited before node1\nnode 19 should be visited before node12\nnode 19 should be visited before node28\nnode 19 should be visited before node13\nnode 19 should be visited before node16\nnode 20 should be visited before node12\nnode 20 should be visited before node21\nnode 20 should be visited before node22\nnode 20 should be visited before node16\nnode 21 should be visited before node28\nnode 21 should be visited before node13\nnode 21 should be visited before node16\nnode 22 should be visited before node13\nnode 22 should be visited before node16\nnode 23 should be visited before node25\nnode 23 should be visited before node24\nnode 23 should be visited before node20\nnode 23 should be visited before node12\nnode 23 should be visited before node21\nnode 23 should be visited before node28\nnode 23 should be visited before node15\nnode 23 should be visited before node22\nnode 23 should be visited before node16\nnode 24 should be visited before node3\nnode 24 should be visited before node20\nnode 24 should be visited before node1\nnode 24 should be visited before node12\nnode 24 should be visited before node21\nnode 24 should be visited before node28\nnode 24 should be visited before node18\nnode 24 should be visited before node16\nnode 25 should be visited before node5\nnode 25 should be visited before node24\nnode 25 should be visited before node2\nnode 25 should be visited before node12\nnode 25 should be visited before node21\nnode 25 should be visited before node28\nnode 25 should be visited before node15\nnode 25 should be visited before node18\nnode 25 should be visited before node13\nnode 25 should be visited before node16\nnode 26 should be visited before node19\nnode 26 should be visited before node25\nnode 26 should be visited before node24\nnode 26 should be visited before node2\nnode 26 should be visited before node1\nnode 26 should be visited before node12\nnode 26 should be visited before node21\nnode 26 should be visited before node28\nnode 26 should be visited before node18\nnode 27 should be visited before node7\nnode 27 should be visited before node4\nnode 27 should be visited before node9\nnode 27 should be visited before node14\nnode 27 should be visited before node23\nnode 27 should be visited before node25\nnode 27 should be visited before node24\nnode 27 should be visited before node1\nnode 27 should be visited before node28\nnode 27 should be visited before node22\nnode 27 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,10,27,7,4,9,14,11,8,26,23,19,17,25,5,24,0,3,2,20,1,12,21,15,28,18,22,13,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph5",
        "image": "data/topology/graph_visual/hard/graph5.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node11\nnode 0 should be visited before node9\nnode 0 should be visited before node6\nnode 1 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 3 should be visited before node24\nnode 3 should be visited before node2\nnode 3 should be visited before node18\nnode 3 should be visited before node21\nnode 3 should be visited before node6\nnode 5 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node24\nnode 5 should be visited before node15\nnode 5 should be visited before node17\nnode 5 should be visited before node7\nnode 5 should be visited before node23\nnode 5 should be visited before node13\nnode 5 should be visited before node8\nnode 5 should be visited before node6\nnode 6 should be visited before node20\nnode 7 should be visited before node2\nnode 7 should be visited before node23\nnode 7 should be visited before node16\nnode 8 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node7\nnode 9 should be visited before node25\nnode 9 should be visited before node4\nnode 9 should be visited before node22\nnode 9 should be visited before node16\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node14\nnode 9 should be visited before node10\nnode 11 should be visited before node24\nnode 11 should be visited before node23\nnode 11 should be visited before node18\nnode 11 should be visited before node13\nnode 11 should be visited before node8\nnode 12 should be visited before node15\nnode 12 should be visited before node17\nnode 12 should be visited before node7\nnode 12 should be visited before node2\nnode 12 should be visited before node1\nnode 12 should be visited before node25\nnode 12 should be visited before node4\nnode 12 should be visited before node8\nnode 12 should be visited before node6\nnode 12 should be visited before node14\nnode 12 should be visited before node20\nnode 13 should be visited before node21\nnode 13 should be visited before node8\nnode 14 should be visited before node20\nnode 15 should be visited before node18\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node20\nnode 16 should be visited before node13\nnode 16 should be visited before node6\nnode 16 should be visited before node14\nnode 17 should be visited before node2\nnode 17 should be visited before node1\nnode 17 should be visited before node4\nnode 17 should be visited before node21\nnode 17 should be visited before node20\nnode 18 should be visited before node21\nnode 18 should be visited before node8\nnode 19 should be visited before node11\nnode 19 should be visited before node24\nnode 19 should be visited before node17\nnode 19 should be visited before node7\nnode 19 should be visited before node16\nnode 19 should be visited before node8\nnode 22 should be visited before node16\nnode 22 should be visited before node21\nnode 22 should be visited before node8\nnode 22 should be visited before node10\nnode 23 should be visited before node4\nnode 23 should be visited before node22\nnode 23 should be visited before node18\nnode 23 should be visited before node10\nnode 24 should be visited before node25\nnode 24 should be visited before node23\nnode 24 should be visited before node8\nnode 25 should be visited before node23\nnode 25 should be visited before node16\nnode 25 should be visited before node21\nnode 25 should be visited before node6\nnode 25 should be visited before node14\nnode 25 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,5,12,19,9,11,17,3,15,7,1,24,2,25,23,4,22,18,16,13,6,14,21,8,20,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph457",
        "image": "data/topology/graph_visual/hard/graph457.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node23\nnode 0 should be visited before node10\nnode 0 should be visited before node12\nnode 0 should be visited before node21\nnode 0 should be visited before node6\nnode 1 should be visited before node24\nnode 1 should be visited before node22\nnode 1 should be visited before node17\nnode 1 should be visited before node0\nnode 1 should be visited before node23\nnode 1 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node20\nnode 1 should be visited before node5\nnode 1 should be visited before node6\nnode 2 should be visited before node21\nnode 3 should be visited before node14\nnode 3 should be visited before node27\nnode 3 should be visited before node26\nnode 3 should be visited before node18\nnode 3 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node9\nnode 3 should be visited before node28\nnode 3 should be visited before node22\nnode 3 should be visited before node0\nnode 3 should be visited before node16\nnode 3 should be visited before node4\nnode 3 should be visited before node21\nnode 3 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 4 should be visited before node2\nnode 5 should be visited before node21\nnode 7 should be visited before node8\nnode 7 should be visited before node11\nnode 7 should be visited before node14\nnode 7 should be visited before node18\nnode 7 should be visited before node1\nnode 7 should be visited before node24\nnode 7 should be visited before node28\nnode 7 should be visited before node22\nnode 7 should be visited before node16\nnode 7 should be visited before node23\nnode 7 should be visited before node10\nnode 7 should be visited before node12\nnode 7 should be visited before node5\nnode 7 should be visited before node21\nnode 8 should be visited before node24\nnode 8 should be visited before node9\nnode 8 should be visited before node28\nnode 8 should be visited before node19\nnode 8 should be visited before node13\nnode 8 should be visited before node23\nnode 8 should be visited before node10\nnode 8 should be visited before node4\nnode 8 should be visited before node12\nnode 8 should be visited before node20\nnode 8 should be visited before node5\nnode 9 should be visited before node28\nnode 9 should be visited before node22\nnode 9 should be visited before node17\nnode 9 should be visited before node13\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node12\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node21\nnode 9 should be visited before node6\nnode 10 should be visited before node4\nnode 10 should be visited before node5\nnode 10 should be visited before node2\nnode 10 should be visited before node21\nnode 10 should be visited before node6\nnode 11 should be visited before node15\nnode 11 should be visited before node27\nnode 11 should be visited before node18\nnode 11 should be visited before node24\nnode 11 should be visited before node16\nnode 11 should be visited before node19\nnode 11 should be visited before node10\nnode 12 should be visited before node20\nnode 12 should be visited before node2\nnode 13 should be visited before node4\nnode 13 should be visited before node12\nnode 13 should be visited before node20\nnode 13 should be visited before node2\nnode 13 should be visited before node6\nnode 14 should be visited before node27\nnode 14 should be visited before node26\nnode 14 should be visited before node9\nnode 14 should be visited before node28\nnode 14 should be visited before node22\nnode 14 should be visited before node17\nnode 14 should be visited before node0\nnode 14 should be visited before node19\nnode 14 should be visited before node10\nnode 14 should be visited before node12\nnode 14 should be visited before node20\nnode 14 should be visited before node2\nnode 15 should be visited before node3\nnode 15 should be visited before node14\nnode 15 should be visited before node27\nnode 15 should be visited before node1\nnode 15 should be visited before node24\nnode 15 should be visited before node9\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node16\nnode 15 should be visited before node19\nnode 15 should be visited before node23\nnode 15 should be visited before node10\nnode 15 should be visited before node20\nnode 15 should be visited before node5\nnode 15 should be visited before node2\nnode 15 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node23\nnode 16 should be visited before node4\nnode 16 should be visited before node5\nnode 17 should be visited before node0\nnode 17 should be visited before node23\nnode 17 should be visited before node10\nnode 17 should be visited before node12\nnode 17 should be visited before node20\nnode 18 should be visited before node9\nnode 18 should be visited before node22\nnode 18 should be visited before node0\nnode 18 should be visited before node16\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 18 should be visited before node6\nnode 19 should be visited before node23\nnode 19 should be visited before node12\nnode 19 should be visited before node20\nnode 19 should be visited before node5\nnode 19 should be visited before node2\nnode 22 should be visited before node13\nnode 22 should be visited before node10\nnode 22 should be visited before node4\nnode 22 should be visited before node12\nnode 22 should be visited before node21\nnode 23 should be visited before node12\nnode 23 should be visited before node5\nnode 23 should be visited before node21\nnode 24 should be visited before node9\nnode 24 should be visited before node22\nnode 24 should be visited before node17\nnode 24 should be visited before node13\nnode 24 should be visited before node23\nnode 24 should be visited before node10\nnode 24 should be visited before node4\nnode 24 should be visited before node12\nnode 24 should be visited before node21\nnode 25 should be visited before node3\nnode 25 should be visited before node18\nnode 25 should be visited before node1\nnode 25 should be visited before node24\nnode 25 should be visited before node28\nnode 25 should be visited before node22\nnode 25 should be visited before node0\nnode 25 should be visited before node19\nnode 25 should be visited before node10\nnode 25 should be visited before node12\nnode 25 should be visited before node20\nnode 26 should be visited before node18\nnode 26 should be visited before node22\nnode 26 should be visited before node17\nnode 26 should be visited before node4\nnode 26 should be visited before node20\nnode 26 should be visited before node5\nnode 26 should be visited before node6\nnode 27 should be visited before node1\nnode 27 should be visited before node9\nnode 27 should be visited before node28\nnode 27 should be visited before node22\nnode 27 should be visited before node17\nnode 27 should be visited before node0\nnode 27 should be visited before node16\nnode 27 should be visited before node23\nnode 27 should be visited before node12\nnode 27 should be visited before node20\nnode 27 should be visited before node21\nnode 27 should be visited before node6\nnode 28 should be visited before node17\nnode 28 should be visited before node0\nnode 28 should be visited before node16\nnode 28 should be visited before node13\nnode 28 should be visited before node23\nnode 28 should be visited before node4\nnode 28 should be visited before node12\nnode 28 should be visited before node21\nnode 28 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,25,8,11,15,3,14,27,26,19,1,18,24,9,28,22,17,16,0,13,23,10,4,6,12,5,20,2,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph1049",
        "image": "data/topology/graph_visual/hard/graph1049.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node19\nnode 0 should be visited before node24\nnode 0 should be visited before node33\nnode 0 should be visited before node21\nnode 0 should be visited before node23\nnode 0 should be visited before node11\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 0 should be visited before node29\nnode 0 should be visited before node22\nnode 0 should be visited before node1\nnode 0 should be visited before node31\nnode 0 should be visited before node26\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 1 should be visited before node31\nnode 1 should be visited before node26\nnode 1 should be visited before node3\nnode 1 should be visited before node20\nnode 1 should be visited before node13\nnode 1 should be visited before node8\nnode 2 should be visited before node32\nnode 2 should be visited before node30\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node24\nnode 2 should be visited before node33\nnode 2 should be visited before node23\nnode 2 should be visited before node11\nnode 2 should be visited before node10\nnode 2 should be visited before node7\nnode 2 should be visited before node22\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 2 should be visited before node31\nnode 2 should be visited before node13\nnode 3 should be visited before node6\nnode 3 should be visited before node8\nnode 4 should be visited before node31\nnode 4 should be visited before node26\nnode 4 should be visited before node3\nnode 4 should be visited before node15\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 5 should be visited before node7\nnode 5 should be visited before node29\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node31\nnode 5 should be visited before node3\nnode 5 should be visited before node20\nnode 5 should be visited before node13\nnode 6 should be visited before node8\nnode 7 should be visited before node29\nnode 7 should be visited before node18\nnode 7 should be visited before node22\nnode 7 should be visited before node1\nnode 7 should be visited before node31\nnode 7 should be visited before node26\nnode 7 should be visited before node3\nnode 7 should be visited before node13\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 9 should be visited before node29\nnode 9 should be visited before node22\nnode 9 should be visited before node4\nnode 9 should be visited before node31\nnode 9 should be visited before node26\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 10 should be visited before node5\nnode 10 should be visited before node27\nnode 10 should be visited before node22\nnode 10 should be visited before node4\nnode 10 should be visited before node31\nnode 10 should be visited before node3\nnode 10 should be visited before node15\nnode 10 should be visited before node20\nnode 10 should be visited before node6\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 11 should be visited before node29\nnode 11 should be visited before node4\nnode 11 should be visited before node31\nnode 11 should be visited before node15\nnode 11 should be visited before node6\nnode 11 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node25\nnode 12 should be visited before node11\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node29\nnode 12 should be visited before node27\nnode 12 should be visited before node4\nnode 12 should be visited before node1\nnode 12 should be visited before node26\nnode 12 should be visited before node3\nnode 12 should be visited before node6\nnode 12 should be visited before node13\nnode 13 should be visited before node8\nnode 14 should be visited before node12\nnode 14 should be visited before node19\nnode 14 should be visited before node33\nnode 14 should be visited before node16\nnode 14 should be visited before node21\nnode 14 should be visited before node9\nnode 14 should be visited before node11\nnode 14 should be visited before node7\nnode 14 should be visited before node29\nnode 14 should be visited before node27\nnode 14 should be visited before node22\nnode 14 should be visited before node4\nnode 14 should be visited before node1\nnode 14 should be visited before node3\nnode 14 should be visited before node15\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 15 should be visited before node8\nnode 16 should be visited before node21\nnode 16 should be visited before node25\nnode 16 should be visited before node23\nnode 16 should be visited before node11\nnode 16 should be visited before node5\nnode 16 should be visited before node18\nnode 16 should be visited before node27\nnode 16 should be visited before node22\nnode 16 should be visited before node31\nnode 16 should be visited before node3\nnode 16 should be visited before node6\nnode 16 should be visited before node13\nnode 16 should be visited before node8\nnode 17 should be visited before node2\nnode 17 should be visited before node14\nnode 17 should be visited before node32\nnode 17 should be visited before node30\nnode 17 should be visited before node12\nnode 17 should be visited before node0\nnode 17 should be visited before node19\nnode 17 should be visited before node24\nnode 17 should be visited before node7\nnode 17 should be visited before node29\nnode 17 should be visited before node31\nnode 17 should be visited before node26\nnode 17 should be visited before node6\nnode 18 should be visited before node22\nnode 18 should be visited before node1\nnode 18 should be visited before node3\nnode 18 should be visited before node6\nnode 18 should be visited before node13\nnode 19 should be visited before node33\nnode 19 should be visited before node16\nnode 19 should be visited before node9\nnode 19 should be visited before node23\nnode 19 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node18\nnode 19 should be visited before node4\nnode 19 should be visited before node1\nnode 19 should be visited before node31\nnode 19 should be visited before node6\nnode 19 should be visited before node13\nnode 19 should be visited before node8\nnode 21 should be visited before node25\nnode 21 should be visited before node23\nnode 21 should be visited before node10\nnode 21 should be visited before node3\nnode 21 should be visited before node15\nnode 21 should be visited before node8\nnode 22 should be visited before node4\nnode 22 should be visited before node31\nnode 22 should be visited before node26\nnode 22 should be visited before node3\nnode 22 should be visited before node20\nnode 22 should be visited before node6\nnode 22 should be visited before node13\nnode 23 should be visited before node11\nnode 23 should be visited before node10\nnode 23 should be visited before node5\nnode 23 should be visited before node29\nnode 23 should be visited before node26\nnode 23 should be visited before node20\nnode 23 should be visited before node6\nnode 24 should be visited before node16\nnode 24 should be visited before node21\nnode 24 should be visited before node25\nnode 24 should be visited before node23\nnode 24 should be visited before node5\nnode 24 should be visited before node7\nnode 24 should be visited before node29\nnode 24 should be visited before node18\nnode 24 should be visited before node27\nnode 24 should be visited before node1\nnode 24 should be visited before node26\nnode 24 should be visited before node3\nnode 24 should be visited before node15\nnode 24 should be visited before node20\nnode 24 should be visited before node6\nnode 24 should be visited before node13\nnode 24 should be visited before node8\nnode 25 should be visited before node23\nnode 25 should be visited before node5\nnode 25 should be visited before node29\nnode 25 should be visited before node27\nnode 25 should be visited before node1\nnode 25 should be visited before node31\nnode 25 should be visited before node26\nnode 25 should be visited before node3\nnode 25 should be visited before node15\nnode 25 should be visited before node20\nnode 25 should be visited before node6\nnode 26 should be visited before node3\nnode 26 should be visited before node6\nnode 26 should be visited before node8\nnode 27 should be visited before node3\nnode 27 should be visited before node20\nnode 27 should be visited before node13\nnode 28 should be visited before node32\nnode 28 should be visited before node30\nnode 28 should be visited before node24\nnode 28 should be visited before node33\nnode 28 should be visited before node21\nnode 28 should be visited before node9\nnode 28 should be visited before node25\nnode 28 should be visited before node23\nnode 28 should be visited before node5\nnode 28 should be visited before node7\nnode 28 should be visited before node27\nnode 28 should be visited before node4\nnode 28 should be visited before node1\nnode 28 should be visited before node31\nnode 28 should be visited before node3\nnode 28 should be visited before node15\nnode 28 should be visited before node20\nnode 28 should be visited before node13\nnode 29 should be visited before node18\nnode 29 should be visited before node27\nnode 29 should be visited before node1\nnode 29 should be visited before node20\nnode 29 should be visited before node6\nnode 29 should be visited before node8\nnode 30 should be visited before node12\nnode 30 should be visited before node0\nnode 30 should be visited before node33\nnode 30 should be visited before node10\nnode 30 should be visited before node5\nnode 30 should be visited before node7\nnode 30 should be visited before node29\nnode 30 should be visited before node18\nnode 30 should be visited before node4\nnode 30 should be visited before node1\nnode 30 should be visited before node31\nnode 30 should be visited before node6\nnode 30 should be visited before node13\nnode 31 should be visited before node3\nnode 31 should be visited before node15\nnode 31 should be visited before node13\nnode 31 should be visited before node8\nnode 32 should be visited before node0\nnode 32 should be visited before node19\nnode 32 should be visited before node16\nnode 32 should be visited before node21\nnode 32 should be visited before node9\nnode 32 should be visited before node25\nnode 32 should be visited before node18\nnode 32 should be visited before node22\nnode 32 should be visited before node1\nnode 32 should be visited before node26\nnode 32 should be visited before node3\nnode 32 should be visited before node15\nnode 32 should be visited before node6\nnode 33 should be visited before node23\nnode 33 should be visited before node11\nnode 33 should be visited before node7\nnode 33 should be visited before node22\nnode 33 should be visited before node4\nnode 33 should be visited before node1\nnode 33 should be visited before node31\nnode 33 should be visited before node20\nnode 33 should be visited before node13\nnode 33 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,28,2,14,32,30,12,0,19,24,33,9,16,21,25,23,11,10,5,7,29,18,27,22,1,4,20,31,26,15,3,13,6,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph1136",
        "image": "data/topology/graph_visual/hard/graph1136.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node5\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node33\nnode 1 should be visited before node19\nnode 1 should be visited before node22\nnode 1 should be visited before node13\nnode 1 should be visited before node11\nnode 1 should be visited before node26\nnode 1 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node21\nnode 1 should be visited before node14\nnode 2 should be visited before node34\nnode 2 should be visited before node31\nnode 2 should be visited before node30\nnode 3 should be visited before node0\nnode 3 should be visited before node2\nnode 3 should be visited before node34\nnode 3 should be visited before node10\nnode 3 should be visited before node33\nnode 3 should be visited before node18\nnode 3 should be visited before node31\nnode 3 should be visited before node23\nnode 4 should be visited before node2\nnode 4 should be visited before node34\nnode 4 should be visited before node14\nnode 4 should be visited before node33\nnode 4 should be visited before node17\nnode 4 should be visited before node23\nnode 5 should be visited before node12\nnode 5 should be visited before node34\nnode 5 should be visited before node31\nnode 5 should be visited before node23\nnode 5 should be visited before node32\nnode 6 should be visited before node16\nnode 6 should be visited before node19\nnode 6 should be visited before node25\nnode 6 should be visited before node15\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node30\nnode 7 should be visited before node24\nnode 7 should be visited before node1\nnode 7 should be visited before node28\nnode 7 should be visited before node13\nnode 7 should be visited before node15\nnode 7 should be visited before node20\nnode 7 should be visited before node3\nnode 7 should be visited before node34\nnode 7 should be visited before node10\nnode 7 should be visited before node21\nnode 7 should be visited before node14\nnode 8 should be visited before node24\nnode 8 should be visited before node16\nnode 8 should be visited before node25\nnode 8 should be visited before node26\nnode 8 should be visited before node3\nnode 8 should be visited before node4\nnode 8 should be visited before node12\nnode 8 should be visited before node34\nnode 8 should be visited before node10\nnode 8 should be visited before node21\nnode 8 should be visited before node30\nnode 8 should be visited before node17\nnode 8 should be visited before node32\nnode 9 should be visited before node24\nnode 9 should be visited before node16\nnode 9 should be visited before node1\nnode 9 should be visited before node25\nnode 9 should be visited before node15\nnode 9 should be visited before node3\nnode 9 should be visited before node34\nnode 9 should be visited before node32\nnode 10 should be visited before node33\nnode 10 should be visited before node31\nnode 10 should be visited before node30\nnode 11 should be visited before node27\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node34\nnode 11 should be visited before node21\nnode 11 should be visited before node14\nnode 11 should be visited before node18\nnode 11 should be visited before node23\nnode 12 should be visited before node34\nnode 12 should be visited before node14\nnode 12 should be visited before node31\nnode 12 should be visited before node32\nnode 13 should be visited before node27\nnode 13 should be visited before node26\nnode 13 should be visited before node12\nnode 13 should be visited before node21\nnode 13 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node23\nnode 13 should be visited before node32\nnode 14 should be visited before node18\nnode 14 should be visited before node31\nnode 14 should be visited before node32\nnode 15 should be visited before node20\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node34\nnode 15 should be visited before node10\nnode 15 should be visited before node21\nnode 15 should be visited before node14\nnode 16 should be visited before node19\nnode 16 should be visited before node13\nnode 16 should be visited before node26\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 16 should be visited before node18\nnode 16 should be visited before node23\nnode 17 should be visited before node23\nnode 18 should be visited before node31\nnode 18 should be visited before node17\nnode 18 should be visited before node23\nnode 18 should be visited before node32\nnode 19 should be visited before node25\nnode 19 should be visited before node13\nnode 19 should be visited before node29\nnode 19 should be visited before node15\nnode 19 should be visited before node3\nnode 19 should be visited before node0\nnode 19 should be visited before node12\nnode 19 should be visited before node14\nnode 19 should be visited before node32\nnode 20 should be visited before node0\nnode 20 should be visited before node5\nnode 20 should be visited before node12\nnode 20 should be visited before node2\nnode 20 should be visited before node14\nnode 20 should be visited before node30\nnode 20 should be visited before node17\nnode 20 should be visited before node32\nnode 21 should be visited before node33\nnode 21 should be visited before node32\nnode 22 should be visited before node28\nnode 22 should be visited before node13\nnode 22 should be visited before node20\nnode 22 should be visited before node3\nnode 22 should be visited before node4\nnode 22 should be visited before node12\nnode 22 should be visited before node33\nnode 22 should be visited before node31\nnode 22 should be visited before node30\nnode 22 should be visited before node23\nnode 22 should be visited before node32\nnode 24 should be visited before node6\nnode 24 should be visited before node1\nnode 24 should be visited before node25\nnode 24 should be visited before node13\nnode 24 should be visited before node26\nnode 24 should be visited before node29\nnode 24 should be visited before node15\nnode 24 should be visited before node0\nnode 24 should be visited before node2\nnode 24 should be visited before node34\nnode 24 should be visited before node33\nnode 24 should be visited before node30\nnode 24 should be visited before node17\nnode 24 should be visited before node32\nnode 25 should be visited before node13\nnode 25 should be visited before node27\nnode 25 should be visited before node26\nnode 25 should be visited before node12\nnode 25 should be visited before node10\nnode 25 should be visited before node23\nnode 26 should be visited before node0\nnode 26 should be visited before node4\nnode 26 should be visited before node34\nnode 26 should be visited before node32\nnode 27 should be visited before node29\nnode 27 should be visited before node0\nnode 27 should be visited before node12\nnode 27 should be visited before node10\nnode 27 should be visited before node33\nnode 27 should be visited before node23\nnode 28 should be visited before node27\nnode 28 should be visited before node26\nnode 28 should be visited before node29\nnode 28 should be visited before node15\nnode 28 should be visited before node2\nnode 28 should be visited before node10\nnode 28 should be visited before node30\nnode 28 should be visited before node17\nnode 28 should be visited before node23\nnode 29 should be visited before node15\nnode 29 should be visited before node20\nnode 29 should be visited before node0\nnode 29 should be visited before node33\nnode 29 should be visited before node17\nnode 31 should be visited before node30\nnode 31 should be visited before node17\nnode 31 should be visited before node23\nnode 33 should be visited before node18\nnode 33 should be visited before node30\nnode 33 should be visited before node17\nnode 33 should be visited before node23\nnode 34 should be visited before node10\nnode 34 should be visited before node23\nnode 34 should be visited before node32\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,8,9,24,6,1,16,22,11,19,28,25,3,13,27,26,29,4,15,20,21,0,5,2,12,34,14,10,33,18,31,32,30,17,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph260",
        "image": "data/topology/graph_visual/hard/graph260.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node20\nnode 0 should be visited before node2\nnode 0 should be visited before node14\nnode 0 should be visited before node12\nnode 1 should be visited before node10\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 2 should be visited before node16\nnode 2 should be visited before node1\nnode 2 should be visited before node23\nnode 2 should be visited before node4\nnode 2 should be visited before node25\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 3 should be visited before node26\nnode 3 should be visited before node23\nnode 3 should be visited before node4\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 3 should be visited before node24\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 5 should be visited before node7\nnode 5 should be visited before node24\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node7\nnode 6 should be visited before node13\nnode 6 should be visited before node9\nnode 7 should be visited before node13\nnode 8 should be visited before node0\nnode 8 should be visited before node2\nnode 8 should be visited before node21\nnode 8 should be visited before node19\nnode 8 should be visited before node23\nnode 8 should be visited before node17\nnode 8 should be visited before node15\nnode 8 should be visited before node7\nnode 8 should be visited before node13\nnode 8 should be visited before node18\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node4\nnode 11 should be visited before node25\nnode 11 should be visited before node9\nnode 11 should be visited before node18\nnode 12 should be visited before node23\nnode 12 should be visited before node15\nnode 12 should be visited before node25\nnode 14 should be visited before node1\nnode 14 should be visited before node4\nnode 14 should be visited before node5\nnode 14 should be visited before node24\nnode 14 should be visited before node18\nnode 15 should be visited before node25\nnode 15 should be visited before node24\nnode 15 should be visited before node9\nnode 15 should be visited before node18\nnode 16 should be visited before node12\nnode 16 should be visited before node4\nnode 16 should be visited before node17\nnode 16 should be visited before node25\nnode 16 should be visited before node18\nnode 17 should be visited before node25\nnode 19 should be visited before node1\nnode 19 should be visited before node4\nnode 19 should be visited before node17\nnode 19 should be visited before node5\nnode 19 should be visited before node7\nnode 19 should be visited before node9\nnode 20 should be visited before node21\nnode 20 should be visited before node3\nnode 20 should be visited before node1\nnode 20 should be visited before node10\nnode 20 should be visited before node11\nnode 20 should be visited before node12\nnode 20 should be visited before node17\nnode 20 should be visited before node15\nnode 21 should be visited before node26\nnode 21 should be visited before node12\nnode 21 should be visited before node23\nnode 21 should be visited before node7\nnode 21 should be visited before node13\nnode 22 should be visited before node19\nnode 22 should be visited before node3\nnode 22 should be visited before node16\nnode 22 should be visited before node1\nnode 22 should be visited before node11\nnode 22 should be visited before node23\nnode 22 should be visited before node17\nnode 22 should be visited before node25\nnode 22 should be visited before node9\nnode 23 should be visited before node4\nnode 23 should be visited before node17\nnode 23 should be visited before node25\nnode 23 should be visited before node24\nnode 24 should be visited before node18\nnode 25 should be visited before node7\nnode 25 should be visited before node18\nnode 26 should be visited before node11\nnode 26 should be visited before node25\nnode 26 should be visited before node7\nnode 27 should be visited before node0\nnode 27 should be visited before node2\nnode 27 should be visited before node22\nnode 27 should be visited before node3\nnode 27 should be visited before node1\nnode 27 should be visited before node23\nnode 27 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,8,27,0,22,20,2,14,19,21,3,16,1,26,5,12,10,11,15,23,9,4,24,17,25,7,18,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph362",
        "image": "data/topology/graph_visual/hard/graph362.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node18\nnode 2 should be visited before node16\nnode 2 should be visited before node22\nnode 2 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node13\nnode 2 should be visited before node8\nnode 2 should be visited before node27\nnode 2 should be visited before node19\nnode 2 should be visited before node1\nnode 3 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node27\nnode 3 should be visited before node18\nnode 4 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node27\nnode 6 should be visited before node19\nnode 7 should be visited before node6\nnode 7 should be visited before node27\nnode 7 should be visited before node18\nnode 7 should be visited before node1\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node18\nnode 10 should be visited before node24\nnode 10 should be visited before node8\nnode 10 should be visited before node6\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node18\nnode 10 should be visited before node1\nnode 11 should be visited before node8\nnode 12 should be visited before node15\nnode 12 should be visited before node26\nnode 12 should be visited before node10\nnode 12 should be visited before node17\nnode 12 should be visited before node16\nnode 12 should be visited before node3\nnode 12 should be visited before node11\nnode 12 should be visited before node9\nnode 13 should be visited before node6\nnode 13 should be visited before node19\nnode 13 should be visited before node18\nnode 13 should be visited before node1\nnode 14 should be visited before node4\nnode 14 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node3\nnode 15 should be visited before node11\nnode 15 should be visited before node5\nnode 15 should be visited before node0\nnode 15 should be visited before node19\nnode 15 should be visited before node1\nnode 16 should be visited before node22\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 16 should be visited before node0\nnode 16 should be visited before node4\nnode 17 should be visited before node24\nnode 17 should be visited before node7\nnode 17 should be visited before node18\nnode 19 should be visited before node18\nnode 20 should be visited before node2\nnode 20 should be visited before node7\nnode 20 should be visited before node5\nnode 20 should be visited before node6\nnode 21 should be visited before node26\nnode 21 should be visited before node10\nnode 21 should be visited before node22\nnode 21 should be visited before node11\nnode 21 should be visited before node7\nnode 21 should be visited before node13\nnode 21 should be visited before node4\nnode 21 should be visited before node1\nnode 22 should be visited before node5\nnode 23 should be visited before node24\nnode 23 should be visited before node3\nnode 23 should be visited before node7\nnode 23 should be visited before node13\nnode 23 should be visited before node6\nnode 23 should be visited before node0\nnode 23 should be visited before node19\nnode 23 should be visited before node18\nnode 23 should be visited before node1\nnode 24 should be visited before node11\nnode 24 should be visited before node7\nnode 24 should be visited before node13\nnode 24 should be visited before node0\nnode 24 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node7\nnode 25 should be visited before node8\nnode 25 should be visited before node6\nnode 25 should be visited before node27\nnode 25 should be visited before node19\nnode 26 should be visited before node10\nnode 26 should be visited before node23\nnode 26 should be visited before node24\nnode 26 should be visited before node16\nnode 26 should be visited before node14\nnode 26 should be visited before node5\nnode 27 should be visited before node19\nnode 28 should be visited before node15\nnode 28 should be visited before node26\nnode 28 should be visited before node16\nnode 28 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,20,21,28,17,2,15,26,25,10,23,16,24,3,22,14,11,7,13,5,8,6,0,27,9,1,19,4,18."
            }
        ]
    },
    {
        "id": "topology-hard-graph569",
        "image": "data/topology/graph_visual/hard/graph569.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node9\nnode 0 should be visited before node16\nnode 0 should be visited before node1\nnode 1 should be visited before node17\nnode 2 should be visited before node12\nnode 2 should be visited before node22\nnode 2 should be visited before node25\nnode 2 should be visited before node19\nnode 2 should be visited before node14\nnode 2 should be visited before node6\nnode 2 should be visited before node18\nnode 2 should be visited before node27\nnode 2 should be visited before node17\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 3 should be visited before node29\nnode 3 should be visited before node2\nnode 3 should be visited before node25\nnode 3 should be visited before node14\nnode 3 should be visited before node6\nnode 3 should be visited before node18\nnode 3 should be visited before node27\nnode 3 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node16\nnode 3 should be visited before node15\nnode 3 should be visited before node1\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node28\nnode 4 should be visited before node2\nnode 4 should be visited before node12\nnode 4 should be visited before node19\nnode 4 should be visited before node14\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 4 should be visited before node27\nnode 4 should be visited before node9\nnode 4 should be visited before node16\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node17\nnode 5 should be visited before node26\nnode 5 should be visited before node11\nnode 5 should be visited before node7\nnode 5 should be visited before node29\nnode 5 should be visited before node23\nnode 5 should be visited before node2\nnode 5 should be visited before node8\nnode 5 should be visited before node12\nnode 5 should be visited before node22\nnode 5 should be visited before node25\nnode 5 should be visited before node19\nnode 5 should be visited before node6\nnode 5 should be visited before node21\nnode 5 should be visited before node27\nnode 5 should be visited before node16\nnode 5 should be visited before node15\nnode 5 should be visited before node17\nnode 6 should be visited before node21\nnode 6 should be visited before node0\nnode 6 should be visited before node9\nnode 6 should be visited before node15\nnode 6 should be visited before node1\nnode 6 should be visited before node17\nnode 7 should be visited before node28\nnode 7 should be visited before node10\nnode 7 should be visited before node2\nnode 7 should be visited before node12\nnode 7 should be visited before node19\nnode 7 should be visited before node14\nnode 7 should be visited before node16\nnode 7 should be visited before node15\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 8 should be visited before node22\nnode 8 should be visited before node19\nnode 8 should be visited before node14\nnode 8 should be visited before node6\nnode 8 should be visited before node18\nnode 8 should be visited before node21\nnode 8 should be visited before node0\nnode 8 should be visited before node1\nnode 9 should be visited before node15\nnode 10 should be visited before node23\nnode 10 should be visited before node8\nnode 10 should be visited before node25\nnode 10 should be visited before node19\nnode 10 should be visited before node6\nnode 10 should be visited before node27\nnode 10 should be visited before node9\nnode 10 should be visited before node16\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node28\nnode 11 should be visited before node10\nnode 11 should be visited before node22\nnode 11 should be visited before node18\nnode 11 should be visited before node21\nnode 11 should be visited before node9\nnode 11 should be visited before node16\nnode 11 should be visited before node1\nnode 11 should be visited before node17\nnode 12 should be visited before node22\nnode 12 should be visited before node19\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node15\nnode 12 should be visited before node1\nnode 12 should be visited before node17\nnode 13 should be visited before node28\nnode 13 should be visited before node10\nnode 13 should be visited before node23\nnode 13 should be visited before node2\nnode 13 should be visited before node22\nnode 13 should be visited before node25\nnode 13 should be visited before node18\nnode 13 should be visited before node21\nnode 13 should be visited before node9\nnode 13 should be visited before node16\nnode 13 should be visited before node1\nnode 14 should be visited before node27\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node17\nnode 16 should be visited before node1\nnode 16 should be visited before node17\nnode 18 should be visited before node21\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node15\nnode 18 should be visited before node17\nnode 19 should be visited before node6\nnode 19 should be visited before node27\nnode 19 should be visited before node9\nnode 19 should be visited before node1\nnode 19 should be visited before node17\nnode 20 should be visited before node24\nnode 20 should be visited before node3\nnode 20 should be visited before node5\nnode 20 should be visited before node11\nnode 20 should be visited before node7\nnode 20 should be visited before node29\nnode 20 should be visited before node28\nnode 20 should be visited before node10\nnode 20 should be visited before node25\nnode 20 should be visited before node14\nnode 20 should be visited before node21\nnode 20 should be visited before node27\nnode 20 should be visited before node0\nnode 20 should be visited before node9\nnode 20 should be visited before node16\nnode 20 should be visited before node15\nnode 20 should be visited before node17\nnode 21 should be visited before node0\nnode 21 should be visited before node9\nnode 21 should be visited before node16\nnode 21 should be visited before node1\nnode 21 should be visited before node17\nnode 22 should be visited before node19\nnode 22 should be visited before node27\nnode 22 should be visited before node16\nnode 22 should be visited before node15\nnode 22 should be visited before node1\nnode 23 should be visited before node2\nnode 23 should be visited before node8\nnode 23 should be visited before node22\nnode 23 should be visited before node25\nnode 23 should be visited before node19\nnode 23 should be visited before node6\nnode 23 should be visited before node18\nnode 23 should be visited before node21\nnode 23 should be visited before node16\nnode 23 should be visited before node15\nnode 24 should be visited before node3\nnode 24 should be visited before node26\nnode 24 should be visited before node11\nnode 24 should be visited before node7\nnode 24 should be visited before node23\nnode 24 should be visited before node12\nnode 24 should be visited before node22\nnode 24 should be visited before node14\nnode 24 should be visited before node27\nnode 24 should be visited before node0\nnode 24 should be visited before node15\nnode 25 should be visited before node19\nnode 25 should be visited before node6\nnode 25 should be visited before node21\nnode 25 should be visited before node9\nnode 25 should be visited before node17\nnode 26 should be visited before node11\nnode 26 should be visited before node7\nnode 26 should be visited before node2\nnode 26 should be visited before node8\nnode 26 should be visited before node22\nnode 26 should be visited before node25\nnode 26 should be visited before node19\nnode 26 should be visited before node21\nnode 26 should be visited before node27\nnode 26 should be visited before node0\nnode 26 should be visited before node1\nnode 26 should be visited before node17\nnode 27 should be visited before node0\nnode 27 should be visited before node9\nnode 27 should be visited before node16\nnode 27 should be visited before node15\nnode 27 should be visited before node1\nnode 27 should be visited before node17\nnode 28 should be visited before node25\nnode 28 should be visited before node14\nnode 28 should be visited before node6\nnode 28 should be visited before node21\nnode 28 should be visited before node27\nnode 28 should be visited before node0\nnode 28 should be visited before node16\nnode 28 should be visited before node15\nnode 29 should be visited before node10\nnode 29 should be visited before node2\nnode 29 should be visited before node12\nnode 29 should be visited before node22\nnode 29 should be visited before node25\nnode 29 should be visited before node19\nnode 29 should be visited before node14\nnode 29 should be visited before node18\nnode 29 should be visited before node0\nnode 29 should be visited before node9\nnode 29 should be visited before node16\nnode 29 should be visited before node15\nnode 29 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,20,24,3,5,26,29,11,7,13,28,10,23,2,8,12,25,14,18,22,19,6,27,21,0,9,16,15,1,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph155",
        "image": "data/topology/graph_visual/hard/graph155.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node14\nnode 0 should be visited before node23\nnode 0 should be visited before node5\nnode 0 should be visited before node18\nnode 0 should be visited before node1\nnode 2 should be visited before node23\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node1\nnode 3 should be visited before node11\nnode 3 should be visited before node19\nnode 3 should be visited before node20\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node25\nnode 3 should be visited before node17\nnode 4 should be visited before node15\nnode 5 should be visited before node12\nnode 5 should be visited before node25\nnode 6 should be visited before node20\nnode 6 should be visited before node10\nnode 6 should be visited before node25\nnode 6 should be visited before node15\nnode 6 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node1\nnode 8 should be visited before node22\nnode 8 should be visited before node19\nnode 8 should be visited before node6\nnode 8 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 9 should be visited before node7\nnode 9 should be visited before node17\nnode 9 should be visited before node18\nnode 9 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node17\nnode 10 should be visited before node15\nnode 11 should be visited before node6\nnode 11 should be visited before node23\nnode 11 should be visited before node12\nnode 11 should be visited before node7\nnode 11 should be visited before node17\nnode 12 should be visited before node17\nnode 12 should be visited before node15\nnode 12 should be visited before node1\nnode 13 should be visited before node3\nnode 13 should be visited before node9\nnode 13 should be visited before node11\nnode 13 should be visited before node2\nnode 13 should be visited before node23\nnode 13 should be visited before node5\nnode 13 should be visited before node17\nnode 13 should be visited before node18\nnode 13 should be visited before node15\nnode 14 should be visited before node11\nnode 14 should be visited before node20\nnode 14 should be visited before node4\nnode 14 should be visited before node18\nnode 14 should be visited before node15\nnode 15 should be visited before node1\nnode 16 should be visited before node0\nnode 16 should be visited before node19\nnode 16 should be visited before node26\nnode 16 should be visited before node10\nnode 16 should be visited before node18\nnode 17 should be visited before node15\nnode 19 should be visited before node6\nnode 19 should be visited before node26\nnode 19 should be visited before node2\nnode 20 should be visited before node18\nnode 20 should be visited before node1\nnode 21 should be visited before node8\nnode 21 should be visited before node3\nnode 21 should be visited before node9\nnode 21 should be visited before node20\nnode 21 should be visited before node10\nnode 21 should be visited before node7\nnode 21 should be visited before node1\nnode 22 should be visited before node0\nnode 22 should be visited before node9\nnode 22 should be visited before node14\nnode 22 should be visited before node11\nnode 22 should be visited before node6\nnode 22 should be visited before node5\nnode 22 should be visited before node25\nnode 23 should be visited before node25\nnode 23 should be visited before node4\nnode 23 should be visited before node17\nnode 23 should be visited before node15\nnode 24 should be visited before node26\nnode 24 should be visited before node4\nnode 25 should be visited before node15\nnode 26 should be visited before node10\nnode 26 should be visited before node17\nnode 26 should be visited before node15\nnode 26 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,16,21,24,8,3,22,19,0,9,26,14,2,11,5,6,23,7,20,10,25,18,12,4,17,15,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph279",
        "image": "data/topology/graph_visual/hard/graph279.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node5\nnode 0 should be visited before node16\nnode 1 should be visited before node17\nnode 1 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node17\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 2 should be visited before node10\nnode 3 should be visited before node21\nnode 3 should be visited before node8\nnode 3 should be visited before node27\nnode 3 should be visited before node18\nnode 3 should be visited before node23\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 4 should be visited before node22\nnode 4 should be visited before node18\nnode 4 should be visited before node23\nnode 4 should be visited before node10\nnode 5 should be visited before node1\nnode 6 should be visited before node4\nnode 6 should be visited before node22\nnode 6 should be visited before node27\nnode 6 should be visited before node5\nnode 7 should be visited before node6\nnode 7 should be visited before node8\nnode 7 should be visited before node0\nnode 7 should be visited before node27\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node20\nnode 7 should be visited before node11\nnode 8 should be visited before node18\nnode 8 should be visited before node23\nnode 8 should be visited before node16\nnode 8 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node10\nnode 10 should be visited before node13\nnode 11 should be visited before node10\nnode 12 should be visited before node8\nnode 12 should be visited before node4\nnode 12 should be visited before node0\nnode 12 should be visited before node27\nnode 12 should be visited before node23\nnode 12 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node16\nnode 12 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node21\nnode 14 should be visited before node6\nnode 14 should be visited before node4\nnode 14 should be visited before node27\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node20\nnode 14 should be visited before node16\nnode 15 should be visited before node12\nnode 15 should be visited before node6\nnode 15 should be visited before node4\nnode 15 should be visited before node22\nnode 15 should be visited before node23\nnode 15 should be visited before node5\nnode 15 should be visited before node1\nnode 15 should be visited before node17\nnode 16 should be visited before node13\nnode 17 should be visited before node11\nnode 18 should be visited before node23\nnode 19 should be visited before node25\nnode 19 should be visited before node9\nnode 19 should be visited before node12\nnode 19 should be visited before node22\nnode 19 should be visited before node27\nnode 19 should be visited before node18\nnode 19 should be visited before node5\nnode 19 should be visited before node17\nnode 21 should be visited before node12\nnode 21 should be visited before node8\nnode 21 should be visited before node0\nnode 21 should be visited before node27\nnode 21 should be visited before node18\nnode 21 should be visited before node11\nnode 22 should be visited before node11\nnode 22 should be visited before node16\nnode 22 should be visited before node13\nnode 23 should be visited before node1\nnode 23 should be visited before node16\nnode 24 should be visited before node7\nnode 24 should be visited before node2\nnode 24 should be visited before node15\nnode 24 should be visited before node4\nnode 24 should be visited before node26\nnode 24 should be visited before node0\nnode 24 should be visited before node22\nnode 24 should be visited before node27\nnode 24 should be visited before node18\nnode 24 should be visited before node23\nnode 24 should be visited before node5\nnode 24 should be visited before node16\nnode 25 should be visited before node15\nnode 25 should be visited before node12\nnode 25 should be visited before node23\nnode 25 should be visited before node11\nnode 25 should be visited before node16\nnode 26 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,14,19,24,21,25,9,7,2,26,15,20,12,6,8,0,4,27,5,22,18,23,1,16,17,11,10,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph814",
        "image": "data/topology/graph_visual/hard/graph814.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node4\nnode 0 should be visited before node18\nnode 0 should be visited before node22\nnode 0 should be visited before node10\nnode 0 should be visited before node6\nnode 0 should be visited before node31\nnode 0 should be visited before node17\nnode 0 should be visited before node24\nnode 0 should be visited before node23\nnode 0 should be visited before node21\nnode 0 should be visited before node30\nnode 0 should be visited before node13\nnode 0 should be visited before node11\nnode 0 should be visited before node29\nnode 0 should be visited before node15\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node27\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 1 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node23\nnode 1 should be visited before node12\nnode 1 should be visited before node21\nnode 1 should be visited before node30\nnode 1 should be visited before node29\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node4\nnode 2 should be visited before node10\nnode 2 should be visited before node6\nnode 2 should be visited before node31\nnode 2 should be visited before node17\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 2 should be visited before node12\nnode 2 should be visited before node21\nnode 2 should be visited before node30\nnode 2 should be visited before node13\nnode 2 should be visited before node11\nnode 2 should be visited before node29\nnode 2 should be visited before node15\nnode 3 should be visited before node26\nnode 3 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node27\nnode 3 should be visited before node18\nnode 3 should be visited before node31\nnode 3 should be visited before node17\nnode 3 should be visited before node19\nnode 3 should be visited before node12\nnode 3 should be visited before node28\nnode 3 should be visited before node20\nnode 4 should be visited before node18\nnode 4 should be visited before node22\nnode 4 should be visited before node10\nnode 4 should be visited before node17\nnode 4 should be visited before node23\nnode 4 should be visited before node19\nnode 4 should be visited before node12\nnode 4 should be visited before node21\nnode 4 should be visited before node30\nnode 4 should be visited before node13\nnode 4 should be visited before node15\nnode 4 should be visited before node20\nnode 5 should be visited before node14\nnode 5 should be visited before node27\nnode 5 should be visited before node4\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node17\nnode 5 should be visited before node24\nnode 5 should be visited before node23\nnode 5 should be visited before node12\nnode 5 should be visited before node13\nnode 5 should be visited before node15\nnode 5 should be visited before node20\nnode 6 should be visited before node31\nnode 6 should be visited before node19\nnode 6 should be visited before node12\nnode 6 should be visited before node11\nnode 6 should be visited before node29\nnode 6 should be visited before node15\nnode 7 should be visited before node2\nnode 7 should be visited before node5\nnode 7 should be visited before node14\nnode 7 should be visited before node27\nnode 7 should be visited before node10\nnode 7 should be visited before node6\nnode 7 should be visited before node17\nnode 7 should be visited before node23\nnode 7 should be visited before node28\nnode 7 should be visited before node20\nnode 8 should be visited before node9\nnode 8 should be visited before node5\nnode 8 should be visited before node27\nnode 8 should be visited before node18\nnode 8 should be visited before node22\nnode 8 should be visited before node6\nnode 8 should be visited before node24\nnode 8 should be visited before node23\nnode 8 should be visited before node19\nnode 8 should be visited before node12\nnode 8 should be visited before node29\nnode 9 should be visited before node5\nnode 9 should be visited before node27\nnode 9 should be visited before node22\nnode 9 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node24\nnode 9 should be visited before node23\nnode 9 should be visited before node21\nnode 9 should be visited before node30\nnode 9 should be visited before node13\nnode 9 should be visited before node11\nnode 9 should be visited before node29\nnode 9 should be visited before node15\nnode 9 should be visited before node20\nnode 10 should be visited before node6\nnode 10 should be visited before node31\nnode 10 should be visited before node17\nnode 10 should be visited before node23\nnode 10 should be visited before node19\nnode 10 should be visited before node12\nnode 10 should be visited before node30\nnode 10 should be visited before node13\nnode 10 should be visited before node11\nnode 10 should be visited before node29\nnode 10 should be visited before node20\nnode 11 should be visited before node15\nnode 12 should be visited before node30\nnode 12 should be visited before node29\nnode 12 should be visited before node15\nnode 12 should be visited before node20\nnode 13 should be visited before node11\nnode 13 should be visited before node29\nnode 13 should be visited before node20\nnode 14 should be visited before node18\nnode 14 should be visited before node6\nnode 14 should be visited before node23\nnode 14 should be visited before node21\nnode 14 should be visited before node28\nnode 14 should be visited before node30\nnode 14 should be visited before node11\nnode 14 should be visited before node29\nnode 14 should be visited before node20\nnode 15 should be visited before node20\nnode 16 should be visited before node3\nnode 16 should be visited before node26\nnode 16 should be visited before node1\nnode 16 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node22\nnode 16 should be visited before node10\nnode 16 should be visited before node24\nnode 16 should be visited before node19\nnode 16 should be visited before node21\nnode 16 should be visited before node28\nnode 16 should be visited before node30\nnode 16 should be visited before node13\nnode 16 should be visited before node11\nnode 16 should be visited before node15\nnode 17 should be visited before node28\nnode 17 should be visited before node30\nnode 17 should be visited before node11\nnode 17 should be visited before node20\nnode 18 should be visited before node21\nnode 18 should be visited before node13\nnode 18 should be visited before node20\nnode 19 should be visited before node21\nnode 19 should be visited before node13\nnode 19 should be visited before node11\nnode 21 should be visited before node30\nnode 21 should be visited before node13\nnode 21 should be visited before node20\nnode 22 should be visited before node6\nnode 22 should be visited before node31\nnode 22 should be visited before node23\nnode 22 should be visited before node19\nnode 22 should be visited before node12\nnode 22 should be visited before node30\nnode 22 should be visited before node13\nnode 22 should be visited before node29\nnode 22 should be visited before node15\nnode 23 should be visited before node19\nnode 23 should be visited before node12\nnode 23 should be visited before node15\nnode 24 should be visited before node19\nnode 24 should be visited before node21\nnode 24 should be visited before node28\nnode 24 should be visited before node30\nnode 24 should be visited before node13\nnode 24 should be visited before node11\nnode 24 should be visited before node20\nnode 25 should be visited before node7\nnode 25 should be visited before node2\nnode 25 should be visited before node1\nnode 25 should be visited before node8\nnode 25 should be visited before node9\nnode 25 should be visited before node22\nnode 25 should be visited before node10\nnode 25 should be visited before node6\nnode 25 should be visited before node12\nnode 25 should be visited before node28\nnode 25 should be visited before node30\nnode 25 should be visited before node11\nnode 25 should be visited before node29\nnode 25 should be visited before node20\nnode 26 should be visited before node8\nnode 26 should be visited before node14\nnode 26 should be visited before node27\nnode 26 should be visited before node4\nnode 26 should be visited before node10\nnode 26 should be visited before node6\nnode 26 should be visited before node17\nnode 26 should be visited before node30\nnode 26 should be visited before node13\nnode 26 should be visited before node11\nnode 26 should be visited before node20\nnode 27 should be visited before node4\nnode 27 should be visited before node18\nnode 27 should be visited before node31\nnode 27 should be visited before node17\nnode 27 should be visited before node19\nnode 27 should be visited before node21\nnode 27 should be visited before node30\nnode 27 should be visited before node13\nnode 27 should be visited before node29\nnode 27 should be visited before node15\nnode 28 should be visited before node15\nnode 29 should be visited before node15\nnode 29 should be visited before node20\nnode 30 should be visited before node11\nnode 31 should be visited before node23\nnode 31 should be visited before node12\nnode 31 should be visited before node28\nnode 31 should be visited before node30\nnode 31 should be visited before node11\nnode 31 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,25,3,7,26,2,0,1,8,9,5,14,27,24,4,18,22,10,6,17,31,23,28,19,12,21,30,13,11,29,15,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph1006",
        "image": "data/topology/graph_visual/hard/graph1006.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node4\nnode 1 should be visited before node12\nnode 1 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node9\nnode 2 should be visited before node24\nnode 2 should be visited before node27\nnode 2 should be visited before node33\nnode 2 should be visited before node29\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node20\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node25\nnode 7 should be visited before node27\nnode 7 should be visited before node29\nnode 7 should be visited before node1\nnode 7 should be visited before node6\nnode 8 should be visited before node33\nnode 8 should be visited before node5\nnode 8 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 9 should be visited before node25\nnode 9 should be visited before node30\nnode 9 should be visited before node20\nnode 9 should be visited before node1\nnode 9 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node30\nnode 10 should be visited before node33\nnode 10 should be visited before node29\nnode 10 should be visited before node5\nnode 10 should be visited before node6\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 12 should be visited before node4\nnode 13 should be visited before node32\nnode 13 should be visited before node3\nnode 13 should be visited before node8\nnode 13 should be visited before node24\nnode 13 should be visited before node20\nnode 13 should be visited before node33\nnode 13 should be visited before node29\nnode 13 should be visited before node1\nnode 13 should be visited before node0\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 14 should be visited before node26\nnode 14 should be visited before node13\nnode 14 should be visited before node10\nnode 14 should be visited before node23\nnode 14 should be visited before node9\nnode 14 should be visited before node27\nnode 14 should be visited before node33\nnode 14 should be visited before node11\nnode 14 should be visited before node12\nnode 15 should be visited before node17\nnode 15 should be visited before node21\nnode 15 should be visited before node14\nnode 15 should be visited before node2\nnode 15 should be visited before node26\nnode 15 should be visited before node19\nnode 15 should be visited before node10\nnode 15 should be visited before node3\nnode 15 should be visited before node8\nnode 15 should be visited before node24\nnode 15 should be visited before node29\nnode 16 should be visited before node9\nnode 16 should be visited before node8\nnode 16 should be visited before node30\nnode 16 should be visited before node12\nnode 16 should be visited before node4\nnode 17 should be visited before node32\nnode 17 should be visited before node23\nnode 17 should be visited before node9\nnode 17 should be visited before node8\nnode 17 should be visited before node24\nnode 17 should be visited before node30\nnode 17 should be visited before node27\nnode 17 should be visited before node29\nnode 17 should be visited before node11\nnode 17 should be visited before node0\nnode 17 should be visited before node4\nnode 18 should be visited before node21\nnode 18 should be visited before node2\nnode 18 should be visited before node22\nnode 18 should be visited before node23\nnode 18 should be visited before node3\nnode 18 should be visited before node9\nnode 18 should be visited before node5\nnode 18 should be visited before node4\nnode 19 should be visited before node32\nnode 19 should be visited before node10\nnode 19 should be visited before node23\nnode 19 should be visited before node3\nnode 19 should be visited before node7\nnode 19 should be visited before node8\nnode 19 should be visited before node30\nnode 19 should be visited before node20\nnode 19 should be visited before node27\nnode 20 should be visited before node1\nnode 20 should be visited before node11\nnode 21 should be visited before node8\nnode 21 should be visited before node27\nnode 22 should be visited before node19\nnode 22 should be visited before node13\nnode 22 should be visited before node25\nnode 22 should be visited before node30\nnode 22 should be visited before node33\nnode 22 should be visited before node1\nnode 22 should be visited before node4\nnode 23 should be visited before node9\nnode 23 should be visited before node24\nnode 23 should be visited before node27\nnode 23 should be visited before node4\nnode 24 should be visited before node20\nnode 24 should be visited before node1\nnode 24 should be visited before node6\nnode 24 should be visited before node0\nnode 25 should be visited before node24\nnode 25 should be visited before node33\nnode 25 should be visited before node1\nnode 25 should be visited before node11\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 26 should be visited before node13\nnode 26 should be visited before node10\nnode 26 should be visited before node7\nnode 26 should be visited before node9\nnode 26 should be visited before node24\nnode 26 should be visited before node20\nnode 26 should be visited before node29\nnode 26 should be visited before node5\nnode 26 should be visited before node6\nnode 26 should be visited before node4\nnode 27 should be visited before node29\nnode 27 should be visited before node5\nnode 27 should be visited before node1\nnode 28 should be visited before node17\nnode 28 should be visited before node22\nnode 28 should be visited before node19\nnode 28 should be visited before node10\nnode 28 should be visited before node25\nnode 28 should be visited before node24\nnode 28 should be visited before node27\nnode 28 should be visited before node0\nnode 28 should be visited before node12\nnode 28 should be visited before node4\nnode 29 should be visited before node0\nnode 30 should be visited before node5\nnode 30 should be visited before node4\nnode 31 should be visited before node22\nnode 31 should be visited before node19\nnode 31 should be visited before node13\nnode 31 should be visited before node32\nnode 31 should be visited before node9\nnode 31 should be visited before node0\nnode 32 should be visited before node27\nnode 32 should be visited before node5\nnode 32 should be visited before node11\nnode 32 should be visited before node6\nnode 32 should be visited before node12\nnode 33 should be visited before node0\nnode 33 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,16,18,28,31,14,21,2,17,22,26,19,13,10,23,7,32,3,8,27,9,29,25,30,24,33,5,20,6,1,11,0,12,4."
            }
        ]
    },
    {
        "id": "topology-hard-graph579",
        "image": "data/topology/graph_visual/hard/graph579.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node22\nnode 0 should be visited before node25\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 0 should be visited before node4\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 0 should be visited before node27\nnode 1 should be visited before node27\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 3 should be visited before node24\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node26\nnode 3 should be visited before node22\nnode 3 should be visited before node25\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 3 should be visited before node27\nnode 3 should be visited before node17\nnode 4 should be visited before node5\nnode 4 should be visited before node27\nnode 6 should be visited before node28\nnode 6 should be visited before node16\nnode 6 should be visited before node21\nnode 6 should be visited before node26\nnode 6 should be visited before node0\nnode 6 should be visited before node29\nnode 6 should be visited before node22\nnode 6 should be visited before node25\nnode 6 should be visited before node2\nnode 6 should be visited before node4\nnode 6 should be visited before node27\nnode 6 should be visited before node17\nnode 7 should be visited before node11\nnode 7 should be visited before node20\nnode 7 should be visited before node15\nnode 7 should be visited before node23\nnode 7 should be visited before node12\nnode 7 should be visited before node8\nnode 7 should be visited before node28\nnode 7 should be visited before node16\nnode 7 should be visited before node21\nnode 7 should be visited before node26\nnode 7 should be visited before node25\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node27\nnode 8 should be visited before node21\nnode 8 should be visited before node0\nnode 8 should be visited before node22\nnode 8 should be visited before node25\nnode 8 should be visited before node10\nnode 8 should be visited before node4\nnode 8 should be visited before node5\nnode 8 should be visited before node27\nnode 9 should be visited before node20\nnode 9 should be visited before node24\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 9 should be visited before node18\nnode 9 should be visited before node6\nnode 9 should be visited before node28\nnode 9 should be visited before node21\nnode 9 should be visited before node26\nnode 9 should be visited before node0\nnode 9 should be visited before node29\nnode 9 should be visited before node17\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node1\nnode 11 should be visited before node20\nnode 11 should be visited before node18\nnode 11 should be visited before node22\nnode 11 should be visited before node25\nnode 11 should be visited before node10\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node27\nnode 12 should be visited before node8\nnode 12 should be visited before node6\nnode 12 should be visited before node28\nnode 12 should be visited before node21\nnode 12 should be visited before node26\nnode 12 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node4\nnode 12 should be visited before node5\nnode 12 should be visited before node27\nnode 13 should be visited before node19\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node11\nnode 13 should be visited before node24\nnode 13 should be visited before node14\nnode 13 should be visited before node23\nnode 13 should be visited before node18\nnode 13 should be visited before node8\nnode 13 should be visited before node6\nnode 13 should be visited before node26\nnode 13 should be visited before node25\nnode 13 should be visited before node10\nnode 13 should be visited before node2\nnode 13 should be visited before node4\nnode 14 should be visited before node15\nnode 14 should be visited before node23\nnode 14 should be visited before node12\nnode 14 should be visited before node8\nnode 14 should be visited before node21\nnode 14 should be visited before node0\nnode 14 should be visited before node29\nnode 14 should be visited before node25\nnode 14 should be visited before node10\nnode 14 should be visited before node5\nnode 14 should be visited before node27\nnode 14 should be visited before node17\nnode 15 should be visited before node12\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node28\nnode 15 should be visited before node16\nnode 15 should be visited before node21\nnode 15 should be visited before node26\nnode 15 should be visited before node0\nnode 15 should be visited before node25\nnode 15 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node17\nnode 16 should be visited before node26\nnode 16 should be visited before node0\nnode 16 should be visited before node29\nnode 16 should be visited before node22\nnode 16 should be visited before node4\nnode 16 should be visited before node5\nnode 16 should be visited before node27\nnode 18 should be visited before node6\nnode 18 should be visited before node21\nnode 18 should be visited before node29\nnode 18 should be visited before node22\nnode 18 should be visited before node25\nnode 18 should be visited before node10\nnode 18 should be visited before node4\nnode 18 should be visited before node5\nnode 18 should be visited before node27\nnode 18 should be visited before node17\nnode 19 should be visited before node7\nnode 19 should be visited before node11\nnode 19 should be visited before node20\nnode 19 should be visited before node24\nnode 19 should be visited before node14\nnode 19 should be visited before node15\nnode 19 should be visited before node12\nnode 19 should be visited before node8\nnode 19 should be visited before node6\nnode 19 should be visited before node16\nnode 19 should be visited before node21\nnode 19 should be visited before node0\nnode 19 should be visited before node22\nnode 19 should be visited before node4\nnode 20 should be visited before node14\nnode 20 should be visited before node18\nnode 20 should be visited before node28\nnode 20 should be visited before node0\nnode 20 should be visited before node22\nnode 20 should be visited before node1\nnode 20 should be visited before node5\nnode 20 should be visited before node27\nnode 21 should be visited before node0\nnode 21 should be visited before node22\nnode 21 should be visited before node25\nnode 21 should be visited before node2\nnode 21 should be visited before node4\nnode 22 should be visited before node10\nnode 22 should be visited before node5\nnode 22 should be visited before node27\nnode 23 should be visited before node18\nnode 23 should be visited before node28\nnode 23 should be visited before node16\nnode 23 should be visited before node21\nnode 23 should be visited before node26\nnode 23 should be visited before node29\nnode 23 should be visited before node22\nnode 23 should be visited before node1\nnode 23 should be visited before node17\nnode 24 should be visited before node15\nnode 24 should be visited before node12\nnode 24 should be visited before node18\nnode 24 should be visited before node16\nnode 24 should be visited before node21\nnode 24 should be visited before node29\nnode 24 should be visited before node22\nnode 24 should be visited before node25\nnode 24 should be visited before node10\nnode 24 should be visited before node2\nnode 24 should be visited before node1\nnode 24 should be visited before node17\nnode 25 should be visited before node2\nnode 25 should be visited before node5\nnode 25 should be visited before node27\nnode 25 should be visited before node17\nnode 26 should be visited before node0\nnode 26 should be visited before node25\nnode 26 should be visited before node1\nnode 26 should be visited before node27\nnode 28 should be visited before node26\nnode 28 should be visited before node0\nnode 28 should be visited before node25\nnode 28 should be visited before node10\nnode 28 should be visited before node1\nnode 28 should be visited before node5\nnode 29 should be visited before node25\nnode 29 should be visited before node10\nnode 29 should be visited before node1\nnode 29 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,19,3,9,7,24,11,20,14,15,23,12,18,8,6,28,16,21,26,29,0,22,25,10,17,2,1,4,5,27."
            }
        ]
    },
    {
        "id": "topology-hard-graph564",
        "image": "data/topology/graph_visual/hard/graph564.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node13\nnode 0 should be visited before node24\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 0 should be visited before node22\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 0 should be visited before node27\nnode 0 should be visited before node11\nnode 0 should be visited before node17\nnode 0 should be visited before node14\nnode 0 should be visited before node1\nnode 0 should be visited before node20\nnode 0 should be visited before node21\nnode 1 should be visited before node20\nnode 2 should be visited before node4\nnode 2 should be visited before node15\nnode 2 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node26\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 2 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 2 should be visited before node1\nnode 2 should be visited before node21\nnode 3 should be visited before node18\nnode 3 should be visited before node14\nnode 3 should be visited before node1\nnode 3 should be visited before node20\nnode 4 should be visited before node15\nnode 4 should be visited before node24\nnode 4 should be visited before node26\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 4 should be visited before node25\nnode 4 should be visited before node1\nnode 4 should be visited before node20\nnode 4 should be visited before node21\nnode 5 should be visited before node8\nnode 5 should be visited before node22\nnode 5 should be visited before node27\nnode 5 should be visited before node25\nnode 6 should be visited before node27\nnode 6 should be visited before node11\nnode 6 should be visited before node25\nnode 6 should be visited before node20\nnode 6 should be visited before node21\nnode 7 should be visited before node10\nnode 7 should be visited before node12\nnode 7 should be visited before node19\nnode 7 should be visited before node27\nnode 7 should be visited before node18\nnode 7 should be visited before node1\nnode 7 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node3\nnode 8 should be visited before node27\nnode 8 should be visited before node25\nnode 8 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node22\nnode 9 should be visited before node3\nnode 9 should be visited before node27\nnode 9 should be visited before node11\nnode 9 should be visited before node25\nnode 9 should be visited before node14\nnode 9 should be visited before node1\nnode 9 should be visited before node21\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node22\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node20\nnode 11 should be visited before node25\nnode 11 should be visited before node1\nnode 11 should be visited before node21\nnode 12 should be visited before node22\nnode 12 should be visited before node6\nnode 12 should be visited before node27\nnode 12 should be visited before node11\nnode 12 should be visited before node25\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 12 should be visited before node20\nnode 13 should be visited before node24\nnode 13 should be visited before node26\nnode 13 should be visited before node7\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node8\nnode 13 should be visited before node12\nnode 13 should be visited before node22\nnode 13 should be visited before node27\nnode 13 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node20\nnode 13 should be visited before node21\nnode 15 should be visited before node13\nnode 15 should be visited before node24\nnode 15 should be visited before node26\nnode 15 should be visited before node7\nnode 15 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node22\nnode 15 should be visited before node19\nnode 15 should be visited before node27\nnode 15 should be visited before node18\nnode 15 should be visited before node17\nnode 15 should be visited before node1\nnode 15 should be visited before node20\nnode 15 should be visited before node21\nnode 16 should be visited before node5\nnode 16 should be visited before node12\nnode 16 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node11\nnode 16 should be visited before node18\nnode 16 should be visited before node14\nnode 16 should be visited before node1\nnode 17 should be visited before node20\nnode 17 should be visited before node21\nnode 18 should be visited before node25\nnode 18 should be visited before node17\nnode 18 should be visited before node1\nnode 18 should be visited before node21\nnode 19 should be visited before node6\nnode 19 should be visited before node27\nnode 19 should be visited before node17\nnode 20 should be visited before node21\nnode 22 should be visited before node19\nnode 22 should be visited before node27\nnode 22 should be visited before node17\nnode 22 should be visited before node1\nnode 22 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node9\nnode 23 should be visited before node5\nnode 23 should be visited before node19\nnode 23 should be visited before node3\nnode 23 should be visited before node6\nnode 23 should be visited before node27\nnode 23 should be visited before node11\nnode 23 should be visited before node18\nnode 23 should be visited before node25\nnode 23 should be visited before node17\nnode 23 should be visited before node14\nnode 23 should be visited before node21\nnode 24 should be visited before node26\nnode 24 should be visited before node7\nnode 24 should be visited before node9\nnode 24 should be visited before node5\nnode 24 should be visited before node11\nnode 24 should be visited before node25\nnode 24 should be visited before node17\nnode 24 should be visited before node14\nnode 24 should be visited before node20\nnode 25 should be visited before node17\nnode 25 should be visited before node14\nnode 26 should be visited before node7\nnode 26 should be visited before node10\nnode 26 should be visited before node5\nnode 26 should be visited before node22\nnode 26 should be visited before node19\nnode 26 should be visited before node6\nnode 26 should be visited before node27\nnode 26 should be visited before node11\nnode 26 should be visited before node18\nnode 26 should be visited before node17\nnode 26 should be visited before node14\nnode 26 should be visited before node21\nnode 27 should be visited before node11\nnode 27 should be visited before node25\nnode 27 should be visited before node14\nnode 27 should be visited before node1\nnode 27 should be visited before node20\nnode 28 should be visited before node29\nnode 28 should be visited before node4\nnode 28 should be visited before node23\nnode 28 should be visited before node0\nnode 28 should be visited before node7\nnode 28 should be visited before node10\nnode 28 should be visited before node9\nnode 28 should be visited before node22\nnode 28 should be visited before node19\nnode 28 should be visited before node3\nnode 28 should be visited before node6\nnode 28 should be visited before node11\nnode 28 should be visited before node25\nnode 28 should be visited before node17\nnode 28 should be visited before node1\nnode 28 should be visited before node20\nnode 29 should be visited before node4\nnode 29 should be visited before node23\nnode 29 should be visited before node0\nnode 29 should be visited before node13\nnode 29 should be visited before node24\nnode 29 should be visited before node26\nnode 29 should be visited before node7\nnode 29 should be visited before node16\nnode 29 should be visited before node9\nnode 29 should be visited before node8\nnode 29 should be visited before node12\nnode 29 should be visited before node19\nnode 29 should be visited before node3\nnode 29 should be visited before node6\nnode 29 should be visited before node25\nnode 29 should be visited before node17\nnode 29 should be visited before node20\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,28,29,4,23,0,15,13,24,16,26,7,10,9,5,12,8,22,3,19,18,6,27,11,25,1,17,14,20,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph931",
        "image": "data/topology/graph_visual/hard/graph931.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 1 should be visited before node20\nnode 1 should be visited before node21\nnode 1 should be visited before node10\nnode 1 should be visited before node15\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 1 should be visited before node26\nnode 1 should be visited before node29\nnode 1 should be visited before node11\nnode 1 should be visited before node0\nnode 1 should be visited before node32\nnode 2 should be visited before node7\nnode 2 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node26\nnode 2 should be visited before node29\nnode 2 should be visited before node19\nnode 2 should be visited before node0\nnode 2 should be visited before node32\nnode 2 should be visited before node31\nnode 3 should be visited before node28\nnode 3 should be visited before node22\nnode 3 should be visited before node27\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node20\nnode 3 should be visited before node15\nnode 3 should be visited before node2\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node13\nnode 3 should be visited before node26\nnode 3 should be visited before node19\nnode 3 should be visited before node11\nnode 3 should be visited before node31\nnode 4 should be visited before node3\nnode 4 should be visited before node28\nnode 4 should be visited before node22\nnode 4 should be visited before node8\nnode 4 should be visited before node27\nnode 4 should be visited before node20\nnode 4 should be visited before node6\nnode 4 should be visited before node26\nnode 4 should be visited before node19\nnode 4 should be visited before node11\nnode 4 should be visited before node0\nnode 4 should be visited before node31\nnode 5 should be visited before node15\nnode 5 should be visited before node7\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node13\nnode 5 should be visited before node24\nnode 5 should be visited before node26\nnode 5 should be visited before node14\nnode 5 should be visited before node19\nnode 5 should be visited before node11\nnode 5 should be visited before node31\nnode 6 should be visited before node9\nnode 6 should be visited before node13\nnode 6 should be visited before node24\nnode 6 should be visited before node26\nnode 6 should be visited before node14\nnode 6 should be visited before node29\nnode 6 should be visited before node31\nnode 7 should be visited before node18\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node29\nnode 7 should be visited before node19\nnode 7 should be visited before node0\nnode 7 should be visited before node32\nnode 7 should be visited before node31\nnode 8 should be visited before node27\nnode 8 should be visited before node30\nnode 8 should be visited before node1\nnode 8 should be visited before node20\nnode 8 should be visited before node25\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node15\nnode 8 should be visited before node2\nnode 8 should be visited before node18\nnode 8 should be visited before node23\nnode 8 should be visited before node24\nnode 8 should be visited before node14\nnode 8 should be visited before node29\nnode 8 should be visited before node19\nnode 8 should be visited before node11\nnode 9 should be visited before node13\nnode 9 should be visited before node24\nnode 9 should be visited before node14\nnode 9 should be visited before node29\nnode 9 should be visited before node11\nnode 9 should be visited before node0\nnode 9 should be visited before node32\nnode 9 should be visited before node31\nnode 10 should be visited before node2\nnode 10 should be visited before node18\nnode 10 should be visited before node9\nnode 10 should be visited before node24\nnode 10 should be visited before node26\nnode 10 should be visited before node29\nnode 10 should be visited before node19\nnode 10 should be visited before node0\nnode 10 should be visited before node31\nnode 11 should be visited before node0\nnode 11 should be visited before node32\nnode 11 should be visited before node31\nnode 12 should be visited before node1\nnode 12 should be visited before node25\nnode 12 should be visited before node10\nnode 12 should be visited before node26\nnode 12 should be visited before node11\nnode 12 should be visited before node32\nnode 13 should be visited before node24\nnode 13 should be visited before node14\nnode 13 should be visited before node29\nnode 13 should be visited before node19\nnode 13 should be visited before node32\nnode 14 should be visited before node0\nnode 14 should be visited before node31\nnode 15 should be visited before node7\nnode 15 should be visited before node23\nnode 15 should be visited before node6\nnode 15 should be visited before node13\nnode 15 should be visited before node19\nnode 15 should be visited before node0\nnode 15 should be visited before node31\nnode 16 should be visited before node2\nnode 16 should be visited before node6\nnode 16 should be visited before node24\nnode 16 should be visited before node26\nnode 16 should be visited before node14\nnode 16 should be visited before node29\nnode 16 should be visited before node11\nnode 16 should be visited before node31\nnode 17 should be visited before node22\nnode 17 should be visited before node27\nnode 17 should be visited before node1\nnode 17 should be visited before node21\nnode 17 should be visited before node10\nnode 17 should be visited before node15\nnode 17 should be visited before node2\nnode 17 should be visited before node7\nnode 17 should be visited before node18\nnode 17 should be visited before node13\nnode 17 should be visited before node24\nnode 17 should be visited before node26\nnode 17 should be visited before node0\nnode 18 should be visited before node23\nnode 18 should be visited before node9\nnode 18 should be visited before node24\nnode 18 should be visited before node29\nnode 18 should be visited before node11\nnode 18 should be visited before node31\nnode 19 should be visited before node11\nnode 19 should be visited before node31\nnode 20 should be visited before node21\nnode 20 should be visited before node25\nnode 20 should be visited before node10\nnode 20 should be visited before node16\nnode 20 should be visited before node23\nnode 20 should be visited before node6\nnode 20 should be visited before node9\nnode 20 should be visited before node24\nnode 20 should be visited before node26\nnode 20 should be visited before node14\nnode 20 should be visited before node19\nnode 20 should be visited before node11\nnode 20 should be visited before node0\nnode 20 should be visited before node32\nnode 20 should be visited before node31\nnode 21 should be visited before node5\nnode 21 should be visited before node16\nnode 21 should be visited before node18\nnode 21 should be visited before node23\nnode 21 should be visited before node9\nnode 21 should be visited before node24\nnode 22 should be visited before node8\nnode 22 should be visited before node27\nnode 22 should be visited before node20\nnode 22 should be visited before node25\nnode 22 should be visited before node15\nnode 22 should be visited before node2\nnode 22 should be visited before node18\nnode 22 should be visited before node23\nnode 22 should be visited before node6\nnode 22 should be visited before node13\nnode 22 should be visited before node26\nnode 22 should be visited before node14\nnode 22 should be visited before node29\nnode 22 should be visited before node11\nnode 22 should be visited before node0\nnode 22 should be visited before node32\nnode 23 should be visited before node9\nnode 23 should be visited before node13\nnode 23 should be visited before node24\nnode 23 should be visited before node29\nnode 23 should be visited before node19\nnode 23 should be visited before node11\nnode 23 should be visited before node32\nnode 24 should be visited before node26\nnode 24 should be visited before node19\nnode 24 should be visited before node32\nnode 25 should be visited before node10\nnode 25 should be visited before node5\nnode 25 should be visited before node16\nnode 25 should be visited before node7\nnode 25 should be visited before node9\nnode 25 should be visited before node13\nnode 25 should be visited before node24\nnode 25 should be visited before node14\nnode 25 should be visited before node29\nnode 25 should be visited before node19\nnode 25 should be visited before node11\nnode 25 should be visited before node32\nnode 26 should be visited before node19\nnode 26 should be visited before node32\nnode 27 should be visited before node30\nnode 27 should be visited before node20\nnode 27 should be visited before node25\nnode 27 should be visited before node10\nnode 27 should be visited before node15\nnode 27 should be visited before node16\nnode 27 should be visited before node2\nnode 27 should be visited before node7\nnode 27 should be visited before node6\nnode 27 should be visited before node13\nnode 27 should be visited before node24\nnode 27 should be visited before node14\nnode 27 should be visited before node29\nnode 27 should be visited before node19\nnode 27 should be visited before node11\nnode 27 should be visited before node0\nnode 27 should be visited before node31\nnode 28 should be visited before node22\nnode 28 should be visited before node30\nnode 28 should be visited before node12\nnode 28 should be visited before node1\nnode 28 should be visited before node25\nnode 28 should be visited before node5\nnode 28 should be visited before node15\nnode 28 should be visited before node7\nnode 28 should be visited before node9\nnode 28 should be visited before node29\nnode 28 should be visited before node31\nnode 29 should be visited before node0\nnode 29 should be visited before node31\nnode 30 should be visited before node1\nnode 30 should be visited before node21\nnode 30 should be visited before node25\nnode 30 should be visited before node10\nnode 30 should be visited before node5\nnode 30 should be visited before node2\nnode 30 should be visited before node24\nnode 30 should be visited before node26\nnode 30 should be visited before node14\nnode 30 should be visited before node29\nnode 30 should be visited before node19\nnode 30 should be visited before node11\nnode 32 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,17,3,28,22,12,8,27,30,1,20,21,25,10,5,16,15,2,6,7,18,23,9,13,24,14,29,26,19,11,0,32,31."
            }
        ]
    },
    {
        "id": "topology-hard-graph821",
        "image": "data/topology/graph_visual/hard/graph821.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node10\nnode 0 should be visited before node23\nnode 0 should be visited before node24\nnode 0 should be visited before node12\nnode 1 should be visited before node14\nnode 1 should be visited before node6\nnode 1 should be visited before node29\nnode 1 should be visited before node4\nnode 1 should be visited before node17\nnode 1 should be visited before node15\nnode 1 should be visited before node19\nnode 1 should be visited before node25\nnode 1 should be visited before node28\nnode 1 should be visited before node18\nnode 1 should be visited before node24\nnode 1 should be visited before node30\nnode 1 should be visited before node13\nnode 2 should be visited before node21\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node15\nnode 2 should be visited before node25\nnode 2 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node9\nnode 2 should be visited before node24\nnode 2 should be visited before node12\nnode 3 should be visited before node26\nnode 3 should be visited before node16\nnode 3 should be visited before node20\nnode 3 should be visited before node1\nnode 3 should be visited before node21\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 3 should be visited before node19\nnode 3 should be visited before node0\nnode 3 should be visited before node28\nnode 3 should be visited before node8\nnode 3 should be visited before node5\nnode 3 should be visited before node12\nnode 4 should be visited before node17\nnode 4 should be visited before node31\nnode 4 should be visited before node25\nnode 4 should be visited before node0\nnode 4 should be visited before node8\nnode 4 should be visited before node18\nnode 4 should be visited before node10\nnode 4 should be visited before node23\nnode 4 should be visited before node24\nnode 4 should be visited before node30\nnode 6 should be visited before node29\nnode 6 should be visited before node22\nnode 6 should be visited before node15\nnode 6 should be visited before node31\nnode 6 should be visited before node0\nnode 6 should be visited before node8\nnode 6 should be visited before node18\nnode 6 should be visited before node10\nnode 6 should be visited before node23\nnode 6 should be visited before node30\nnode 6 should be visited before node5\nnode 7 should be visited before node6\nnode 7 should be visited before node29\nnode 7 should be visited before node17\nnode 7 should be visited before node15\nnode 7 should be visited before node28\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 8 should be visited before node9\nnode 8 should be visited before node23\nnode 8 should be visited before node30\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 9 should be visited before node30\nnode 9 should be visited before node13\nnode 10 should be visited before node23\nnode 10 should be visited before node24\nnode 10 should be visited before node13\nnode 11 should be visited before node26\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node21\nnode 11 should be visited before node7\nnode 11 should be visited before node29\nnode 11 should be visited before node22\nnode 11 should be visited before node4\nnode 11 should be visited before node17\nnode 11 should be visited before node15\nnode 11 should be visited before node31\nnode 11 should be visited before node25\nnode 11 should be visited before node28\nnode 11 should be visited before node18\nnode 11 should be visited before node10\nnode 11 should be visited before node9\nnode 11 should be visited before node5\nnode 12 should be visited before node13\nnode 14 should be visited before node7\nnode 14 should be visited before node29\nnode 14 should be visited before node19\nnode 14 should be visited before node18\nnode 14 should be visited before node23\nnode 14 should be visited before node13\nnode 15 should be visited before node31\nnode 15 should be visited before node19\nnode 15 should be visited before node25\nnode 15 should be visited before node0\nnode 15 should be visited before node18\nnode 15 should be visited before node10\nnode 15 should be visited before node23\nnode 15 should be visited before node24\nnode 15 should be visited before node30\nnode 15 should be visited before node12\nnode 15 should be visited before node13\nnode 16 should be visited before node1\nnode 16 should be visited before node21\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 16 should be visited before node22\nnode 16 should be visited before node15\nnode 16 should be visited before node25\nnode 16 should be visited before node8\nnode 16 should be visited before node18\nnode 16 should be visited before node10\nnode 16 should be visited before node9\nnode 16 should be visited before node23\nnode 16 should be visited before node24\nnode 16 should be visited before node30\nnode 16 should be visited before node5\nnode 16 should be visited before node13\nnode 17 should be visited before node25\nnode 17 should be visited before node28\nnode 17 should be visited before node8\nnode 17 should be visited before node18\nnode 17 should be visited before node23\nnode 17 should be visited before node24\nnode 17 should be visited before node5\nnode 17 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node23\nnode 18 should be visited before node24\nnode 18 should be visited before node30\nnode 19 should be visited before node18\nnode 19 should be visited before node5\nnode 19 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node21\nnode 20 should be visited before node14\nnode 20 should be visited before node6\nnode 20 should be visited before node29\nnode 20 should be visited before node17\nnode 20 should be visited before node24\nnode 20 should be visited before node30\nnode 20 should be visited before node5\nnode 20 should be visited before node12\nnode 20 should be visited before node13\nnode 21 should be visited before node6\nnode 21 should be visited before node17\nnode 21 should be visited before node15\nnode 21 should be visited before node31\nnode 21 should be visited before node25\nnode 21 should be visited before node0\nnode 21 should be visited before node28\nnode 21 should be visited before node8\nnode 21 should be visited before node18\nnode 21 should be visited before node10\nnode 21 should be visited before node23\nnode 21 should be visited before node13\nnode 22 should be visited before node31\nnode 22 should be visited before node0\nnode 22 should be visited before node8\nnode 22 should be visited before node10\nnode 22 should be visited before node24\nnode 22 should be visited before node5\nnode 22 should be visited before node12\nnode 22 should be visited before node13\nnode 23 should be visited before node30\nnode 23 should be visited before node12\nnode 23 should be visited before node13\nnode 24 should be visited before node5\nnode 24 should be visited before node12\nnode 24 should be visited before node13\nnode 25 should be visited before node0\nnode 25 should be visited before node18\nnode 25 should be visited before node9\nnode 25 should be visited before node30\nnode 25 should be visited before node12\nnode 25 should be visited before node13\nnode 26 should be visited before node16\nnode 26 should be visited before node20\nnode 26 should be visited before node21\nnode 26 should be visited before node14\nnode 26 should be visited before node7\nnode 26 should be visited before node4\nnode 26 should be visited before node15\nnode 26 should be visited before node0\nnode 26 should be visited before node8\nnode 26 should be visited before node18\nnode 26 should be visited before node9\nnode 26 should be visited before node30\nnode 26 should be visited before node13\nnode 27 should be visited before node3\nnode 27 should be visited before node16\nnode 27 should be visited before node20\nnode 27 should be visited before node6\nnode 27 should be visited before node17\nnode 27 should be visited before node31\nnode 27 should be visited before node25\nnode 27 should be visited before node0\nnode 27 should be visited before node28\nnode 27 should be visited before node10\nnode 27 should be visited before node9\nnode 27 should be visited before node23\nnode 27 should be visited before node5\nnode 28 should be visited before node8\nnode 28 should be visited before node18\nnode 28 should be visited before node10\nnode 28 should be visited before node9\nnode 28 should be visited before node23\nnode 28 should be visited before node12\nnode 29 should be visited before node22\nnode 29 should be visited before node4\nnode 29 should be visited before node15\nnode 29 should be visited before node31\nnode 29 should be visited before node19\nnode 29 should be visited before node25\nnode 29 should be visited before node0\nnode 29 should be visited before node28\nnode 29 should be visited before node18\nnode 29 should be visited before node9\nnode 29 should be visited before node23\nnode 30 should be visited before node12\nnode 31 should be visited before node25\nnode 31 should be visited before node28\nnode 31 should be visited before node8\nnode 31 should be visited before node18\nnode 31 should be visited before node10\nnode 31 should be visited before node30\nnode 31 should be visited before node5\nnode 31 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,27,2,3,26,16,20,1,21,14,7,6,29,22,4,15,17,31,19,25,28,0,8,18,9,10,23,24,30,5,12,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph1117",
        "image": "data/topology/graph_visual/hard/graph1117.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node3\nnode 0 should be visited before node16\nnode 0 should be visited before node13\nnode 0 should be visited before node28\nnode 0 should be visited before node11\nnode 0 should be visited before node31\nnode 1 should be visited before node19\nnode 1 should be visited before node11\nnode 1 should be visited before node26\nnode 2 should be visited before node8\nnode 2 should be visited before node19\nnode 2 should be visited before node30\nnode 2 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node9\nnode 3 should be visited before node24\nnode 3 should be visited before node6\nnode 3 should be visited before node19\nnode 3 should be visited before node16\nnode 3 should be visited before node15\nnode 3 should be visited before node28\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 3 should be visited before node31\nnode 3 should be visited before node26\nnode 4 should be visited before node24\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node19\nnode 4 should be visited before node34\nnode 4 should be visited before node16\nnode 4 should be visited before node13\nnode 4 should be visited before node28\nnode 4 should be visited before node12\nnode 4 should be visited before node7\nnode 4 should be visited before node29\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 5 should be visited before node28\nnode 5 should be visited before node29\nnode 5 should be visited before node26\nnode 6 should be visited before node2\nnode 6 should be visited before node27\nnode 7 should be visited before node31\nnode 8 should be visited before node19\nnode 8 should be visited before node34\nnode 8 should be visited before node13\nnode 8 should be visited before node28\nnode 8 should be visited before node27\nnode 8 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node2\nnode 9 should be visited before node8\nnode 9 should be visited before node25\nnode 9 should be visited before node31\nnode 10 should be visited before node5\nnode 10 should be visited before node23\nnode 10 should be visited before node9\nnode 10 should be visited before node6\nnode 10 should be visited before node34\nnode 10 should be visited before node15\nnode 10 should be visited before node28\nnode 10 should be visited before node11\nnode 10 should be visited before node31\nnode 10 should be visited before node29\nnode 11 should be visited before node7\nnode 11 should be visited before node31\nnode 11 should be visited before node29\nnode 11 should be visited before node26\nnode 12 should be visited before node7\nnode 12 should be visited before node29\nnode 12 should be visited before node26\nnode 13 should be visited before node12\nnode 13 should be visited before node31\nnode 14 should be visited before node9\nnode 14 should be visited before node2\nnode 14 should be visited before node19\nnode 14 should be visited before node13\nnode 14 should be visited before node15\nnode 14 should be visited before node25\nnode 14 should be visited before node28\nnode 14 should be visited before node27\nnode 15 should be visited before node25\nnode 15 should be visited before node28\nnode 15 should be visited before node12\nnode 15 should be visited before node27\nnode 15 should be visited before node7\nnode 15 should be visited before node31\nnode 16 should be visited before node13\nnode 16 should be visited before node25\nnode 16 should be visited before node28\nnode 16 should be visited before node12\nnode 16 should be visited before node11\nnode 17 should be visited before node32\nnode 17 should be visited before node20\nnode 17 should be visited before node4\nnode 17 should be visited before node33\nnode 17 should be visited before node6\nnode 17 should be visited before node8\nnode 17 should be visited before node27\nnode 17 should be visited before node31\nnode 18 should be visited before node10\nnode 18 should be visited before node6\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 18 should be visited before node13\nnode 18 should be visited before node25\nnode 18 should be visited before node27\nnode 18 should be visited before node11\nnode 18 should be visited before node7\nnode 18 should be visited before node31\nnode 19 should be visited before node16\nnode 19 should be visited before node25\nnode 19 should be visited before node11\nnode 19 should be visited before node26\nnode 20 should be visited before node1\nnode 20 should be visited before node2\nnode 20 should be visited before node34\nnode 20 should be visited before node28\nnode 21 should be visited before node0\nnode 21 should be visited before node14\nnode 21 should be visited before node20\nnode 21 should be visited before node8\nnode 21 should be visited before node13\nnode 21 should be visited before node29\nnode 22 should be visited before node32\nnode 22 should be visited before node18\nnode 22 should be visited before node21\nnode 22 should be visited before node5\nnode 22 should be visited before node2\nnode 22 should be visited before node11\nnode 22 should be visited before node31\nnode 23 should be visited before node33\nnode 23 should be visited before node2\nnode 23 should be visited before node15\nnode 23 should be visited before node12\nnode 23 should be visited before node11\nnode 23 should be visited before node29\nnode 24 should be visited before node16\nnode 24 should be visited before node13\nnode 24 should be visited before node25\nnode 24 should be visited before node28\nnode 25 should be visited before node7\nnode 25 should be visited before node29\nnode 25 should be visited before node26\nnode 27 should be visited before node31\nnode 30 should be visited before node12\nnode 30 should be visited before node27\nnode 30 should be visited before node11\nnode 30 should be visited before node7\nnode 31 should be visited before node29\nnode 31 should be visited before node26\nnode 32 should be visited before node18\nnode 32 should be visited before node0\nnode 32 should be visited before node3\nnode 32 should be visited before node20\nnode 32 should be visited before node23\nnode 32 should be visited before node4\nnode 32 should be visited before node9\nnode 32 should be visited before node6\nnode 32 should be visited before node1\nnode 32 should be visited before node2\nnode 32 should be visited before node8\nnode 32 should be visited before node34\nnode 32 should be visited before node16\nnode 32 should be visited before node13\nnode 32 should be visited before node12\nnode 32 should be visited before node11\nnode 32 should be visited before node26\nnode 33 should be visited before node8\nnode 33 should be visited before node34\nnode 33 should be visited before node27\nnode 33 should be visited before node11\nnode 33 should be visited before node31\nnode 33 should be visited before node29\nnode 34 should be visited before node30\nnode 34 should be visited before node15\nnode 34 should be visited before node12\nnode 34 should be visited before node27\nnode 34 should be visited before node31\nnode 34 should be visited before node29\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,22,32,21,18,0,14,20,10,3,5,23,4,9,33,24,1,6,2,8,19,34,16,30,15,13,11,25,28,27,12,7,31,29,26."
            }
        ]
    },
    {
        "id": "topology-hard-graph353",
        "image": "data/topology/graph_visual/hard/graph353.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node17\nnode 0 should be visited before node23\nnode 2 should be visited before node27\nnode 2 should be visited before node21\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 2 should be visited before node23\nnode 3 should be visited before node8\nnode 3 should be visited before node22\nnode 3 should be visited before node14\nnode 3 should be visited before node17\nnode 3 should be visited before node23\nnode 4 should be visited before node20\nnode 4 should be visited before node11\nnode 4 should be visited before node9\nnode 4 should be visited before node26\nnode 4 should be visited before node8\nnode 4 should be visited before node10\nnode 4 should be visited before node27\nnode 4 should be visited before node21\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node17\nnode 5 should be visited before node17\nnode 6 should be visited before node7\nnode 6 should be visited before node13\nnode 6 should be visited before node15\nnode 6 should be visited before node22\nnode 6 should be visited before node2\nnode 6 should be visited before node14\nnode 6 should be visited before node5\nnode 6 should be visited before node23\nnode 7 should be visited before node4\nnode 7 should be visited before node20\nnode 7 should be visited before node19\nnode 7 should be visited before node13\nnode 7 should be visited before node11\nnode 7 should be visited before node15\nnode 7 should be visited before node3\nnode 7 should be visited before node9\nnode 7 should be visited before node26\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node27\nnode 7 should be visited before node21\nnode 7 should be visited before node5\nnode 8 should be visited before node10\nnode 8 should be visited before node27\nnode 8 should be visited before node21\nnode 8 should be visited before node0\nnode 8 should be visited before node24\nnode 8 should be visited before node14\nnode 8 should be visited before node1\nnode 8 should be visited before node17\nnode 8 should be visited before node23\nnode 9 should be visited before node8\nnode 9 should be visited before node22\nnode 9 should be visited before node0\nnode 9 should be visited before node24\nnode 9 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node23\nnode 10 should be visited before node27\nnode 10 should be visited before node21\nnode 10 should be visited before node0\nnode 10 should be visited before node24\nnode 10 should be visited before node1\nnode 10 should be visited before node5\nnode 11 should be visited before node15\nnode 11 should be visited before node9\nnode 11 should be visited before node26\nnode 11 should be visited before node8\nnode 11 should be visited before node2\nnode 11 should be visited before node27\nnode 11 should be visited before node0\nnode 11 should be visited before node24\nnode 12 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node27\nnode 12 should be visited before node21\nnode 12 should be visited before node0\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 12 should be visited before node23\nnode 13 should be visited before node26\nnode 13 should be visited before node8\nnode 13 should be visited before node22\nnode 13 should be visited before node27\nnode 13 should be visited before node24\nnode 13 should be visited before node14\nnode 13 should be visited before node5\nnode 13 should be visited before node23\nnode 14 should be visited before node1\nnode 14 should be visited before node17\nnode 15 should be visited before node26\nnode 15 should be visited before node12\nnode 15 should be visited before node10\nnode 15 should be visited before node22\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node17\nnode 16 should be visited before node18\nnode 16 should be visited before node25\nnode 16 should be visited before node4\nnode 16 should be visited before node20\nnode 16 should be visited before node19\nnode 16 should be visited before node13\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 16 should be visited before node26\nnode 16 should be visited before node8\nnode 16 should be visited before node22\nnode 16 should be visited before node27\nnode 16 should be visited before node21\nnode 16 should be visited before node24\nnode 16 should be visited before node14\nnode 16 should be visited before node17\nnode 16 should be visited before node23\nnode 18 should be visited before node25\nnode 18 should be visited before node7\nnode 18 should be visited before node20\nnode 18 should be visited before node3\nnode 18 should be visited before node26\nnode 18 should be visited before node8\nnode 18 should be visited before node12\nnode 18 should be visited before node10\nnode 18 should be visited before node21\nnode 18 should be visited before node0\nnode 18 should be visited before node14\nnode 18 should be visited before node1\nnode 19 should be visited before node13\nnode 19 should be visited before node11\nnode 19 should be visited before node9\nnode 19 should be visited before node8\nnode 19 should be visited before node27\nnode 19 should be visited before node0\nnode 19 should be visited before node14\nnode 19 should be visited before node1\nnode 19 should be visited before node23\nnode 20 should be visited before node19\nnode 20 should be visited before node13\nnode 20 should be visited before node11\nnode 20 should be visited before node15\nnode 20 should be visited before node3\nnode 20 should be visited before node9\nnode 20 should be visited before node10\nnode 20 should be visited before node27\nnode 20 should be visited before node21\nnode 20 should be visited before node0\nnode 20 should be visited before node14\nnode 20 should be visited before node23\nnode 21 should be visited before node0\nnode 21 should be visited before node24\nnode 21 should be visited before node14\nnode 21 should be visited before node1\nnode 21 should be visited before node23\nnode 22 should be visited before node21\nnode 22 should be visited before node14\nnode 22 should be visited before node17\nnode 22 should be visited before node23\nnode 24 should be visited before node14\nnode 24 should be visited before node5\nnode 24 should be visited before node17\nnode 24 should be visited before node23\nnode 25 should be visited before node7\nnode 25 should be visited before node20\nnode 25 should be visited before node19\nnode 25 should be visited before node15\nnode 25 should be visited before node3\nnode 25 should be visited before node9\nnode 25 should be visited before node2\nnode 25 should be visited before node21\nnode 25 should be visited before node0\nnode 25 should be visited before node24\nnode 25 should be visited before node14\nnode 25 should be visited before node1\nnode 25 should be visited before node5\nnode 25 should be visited before node17\nnode 25 should be visited before node23\nnode 26 should be visited before node12\nnode 26 should be visited before node10\nnode 26 should be visited before node22\nnode 26 should be visited before node0\nnode 26 should be visited before node24\nnode 26 should be visited before node14\nnode 26 should be visited before node17\nnode 27 should be visited before node0\nnode 27 should be visited before node24\nnode 27 should be visited before node1\nnode 27 should be visited before node17\nnode 27 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,16,18,25,7,4,20,19,3,13,11,15,9,26,8,12,22,10,2,27,21,0,24,14,5,23,1,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph72",
        "image": "data/topology/graph_visual/hard/graph72.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node23\nnode 0 should be visited before node18\nnode 0 should be visited before node10\nnode 0 should be visited before node24\nnode 0 should be visited before node2\nnode 0 should be visited before node20\nnode 0 should be visited before node1\nnode 0 should be visited before node16\nnode 0 should be visited before node21\nnode 0 should be visited before node13\nnode 1 should be visited before node16\nnode 1 should be visited before node17\nnode 1 should be visited before node13\nnode 1 should be visited before node11\nnode 2 should be visited before node16\nnode 2 should be visited before node21\nnode 2 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node21\nnode 4 should be visited before node17\nnode 4 should be visited before node11\nnode 5 should be visited before node25\nnode 5 should be visited before node24\nnode 5 should be visited before node2\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node16\nnode 5 should be visited before node21\nnode 5 should be visited before node13\nnode 5 should be visited before node3\nnode 6 should be visited before node14\nnode 6 should be visited before node16\nnode 6 should be visited before node3\nnode 7 should be visited before node23\nnode 7 should be visited before node12\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node11\nnode 8 should be visited before node0\nnode 8 should be visited before node23\nnode 8 should be visited before node24\nnode 8 should be visited before node4\nnode 8 should be visited before node21\nnode 8 should be visited before node17\nnode 8 should be visited before node13\nnode 9 should be visited before node23\nnode 9 should be visited before node18\nnode 9 should be visited before node10\nnode 9 should be visited before node5\nnode 9 should be visited before node25\nnode 9 should be visited before node24\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node11\nnode 10 should be visited before node25\nnode 10 should be visited before node24\nnode 10 should be visited before node2\nnode 10 should be visited before node4\nnode 10 should be visited before node21\nnode 10 should be visited before node17\nnode 10 should be visited before node13\nnode 12 should be visited before node10\nnode 12 should be visited before node25\nnode 12 should be visited before node24\nnode 12 should be visited before node2\nnode 12 should be visited before node20\nnode 12 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node3\nnode 12 should be visited before node11\nnode 13 should be visited before node3\nnode 14 should be visited before node16\nnode 14 should be visited before node21\nnode 14 should be visited before node13\nnode 14 should be visited before node11\nnode 15 should be visited before node19\nnode 15 should be visited before node8\nnode 15 should be visited before node0\nnode 15 should be visited before node23\nnode 15 should be visited before node10\nnode 15 should be visited before node25\nnode 15 should be visited before node2\nnode 15 should be visited before node6\nnode 15 should be visited before node4\nnode 15 should be visited before node1\nnode 15 should be visited before node21\nnode 15 should be visited before node17\nnode 15 should be visited before node13\nnode 16 should be visited before node17\nnode 16 should be visited before node13\nnode 16 should be visited before node3\nnode 17 should be visited before node13\nnode 17 should be visited before node11\nnode 18 should be visited before node12\nnode 18 should be visited before node24\nnode 18 should be visited before node2\nnode 18 should be visited before node20\nnode 18 should be visited before node4\nnode 18 should be visited before node16\nnode 18 should be visited before node13\nnode 18 should be visited before node3\nnode 19 should be visited before node18\nnode 19 should be visited before node12\nnode 19 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node2\nnode 19 should be visited before node4\nnode 19 should be visited before node14\nnode 19 should be visited before node1\nnode 19 should be visited before node3\nnode 19 should be visited before node11\nnode 20 should be visited before node4\nnode 20 should be visited before node1\nnode 20 should be visited before node16\nnode 20 should be visited before node17\nnode 20 should be visited before node3\nnode 21 should be visited before node13\nnode 22 should be visited before node8\nnode 22 should be visited before node5\nnode 22 should be visited before node24\nnode 22 should be visited before node4\nnode 22 should be visited before node1\nnode 22 should be visited before node17\nnode 22 should be visited before node3\nnode 23 should be visited before node18\nnode 23 should be visited before node25\nnode 23 should be visited before node24\nnode 23 should be visited before node2\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 23 should be visited before node16\nnode 23 should be visited before node21\nnode 23 should be visited before node17\nnode 24 should be visited before node4\nnode 24 should be visited before node14\nnode 24 should be visited before node1\nnode 24 should be visited before node3\nnode 25 should be visited before node24\nnode 25 should be visited before node4\nnode 25 should be visited before node14\nnode 25 should be visited before node21\nnode 25 should be visited before node13\nnode 25 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,9,15,22,19,6,8,5,0,23,18,12,10,20,25,2,24,4,14,1,21,16,17,13,11,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph387",
        "image": "data/topology/graph_visual/hard/graph387.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node9\nnode 0 should be visited before node21\nnode 0 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node17\nnode 1 should be visited before node14\nnode 1 should be visited before node4\nnode 1 should be visited before node21\nnode 1 should be visited before node22\nnode 1 should be visited before node20\nnode 1 should be visited before node28\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node18\nnode 1 should be visited before node8\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 2 should be visited before node22\nnode 2 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node3\nnode 2 should be visited before node24\nnode 2 should be visited before node10\nnode 3 should be visited before node26\nnode 4 should be visited before node22\nnode 4 should be visited before node15\nnode 4 should be visited before node3\nnode 4 should be visited before node8\nnode 5 should be visited before node27\nnode 5 should be visited before node15\nnode 5 should be visited before node26\nnode 5 should be visited before node18\nnode 6 should be visited before node19\nnode 6 should be visited before node12\nnode 6 should be visited before node28\nnode 6 should be visited before node5\nnode 6 should be visited before node13\nnode 6 should be visited before node15\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 7 should be visited before node6\nnode 7 should be visited before node25\nnode 7 should be visited before node0\nnode 7 should be visited before node2\nnode 7 should be visited before node11\nnode 7 should be visited before node20\nnode 7 should be visited before node15\nnode 7 should be visited before node23\nnode 7 should be visited before node26\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node23\nnode 9 should be visited before node24\nnode 10 should be visited before node18\nnode 11 should be visited before node12\nnode 11 should be visited before node26\nnode 11 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node8\nnode 12 should be visited before node21\nnode 12 should be visited before node10\nnode 12 should be visited before node18\nnode 13 should be visited before node26\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node12\nnode 14 should be visited before node4\nnode 14 should be visited before node22\nnode 14 should be visited before node13\nnode 14 should be visited before node23\nnode 15 should be visited before node18\nnode 16 should be visited before node24\nnode 17 should be visited before node21\nnode 17 should be visited before node28\nnode 17 should be visited before node5\nnode 17 should be visited before node13\nnode 17 should be visited before node3\nnode 17 should be visited before node23\nnode 19 should be visited before node2\nnode 19 should be visited before node11\nnode 19 should be visited before node4\nnode 19 should be visited before node22\nnode 19 should be visited before node13\nnode 19 should be visited before node16\nnode 19 should be visited before node24\nnode 20 should be visited before node13\nnode 20 should be visited before node18\nnode 21 should be visited before node3\nnode 21 should be visited before node23\nnode 22 should be visited before node16\nnode 22 should be visited before node23\nnode 22 should be visited before node10\nnode 22 should be visited before node18\nnode 22 should be visited before node8\nnode 23 should be visited before node26\nnode 24 should be visited before node10\nnode 25 should be visited before node19\nnode 25 should be visited before node0\nnode 25 should be visited before node2\nnode 25 should be visited before node9\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 25 should be visited before node22\nnode 25 should be visited before node20\nnode 25 should be visited before node5\nnode 25 should be visited before node13\nnode 25 should be visited before node18\nnode 26 should be visited before node24\nnode 27 should be visited before node16\nnode 27 should be visited before node15\nnode 28 should be visited before node13\nnode 28 should be visited before node26\nnode 28 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,7,17,14,6,25,28,19,0,20,2,4,13,9,22,11,5,12,8,27,21,16,15,3,23,26,24,10,18."
            }
        ]
    },
    {
        "id": "topology-hard-graph596",
        "image": "data/topology/graph_visual/hard/graph596.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node13\nnode 0 should be visited before node25\nnode 0 should be visited before node29\nnode 0 should be visited before node19\nnode 0 should be visited before node20\nnode 0 should be visited before node24\nnode 0 should be visited before node5\nnode 0 should be visited before node27\nnode 0 should be visited before node11\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node14\nnode 0 should be visited before node12\nnode 1 should be visited before node5\nnode 1 should be visited before node27\nnode 1 should be visited before node11\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node28\nnode 1 should be visited before node18\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node16\nnode 2 should be visited before node25\nnode 2 should be visited before node19\nnode 2 should be visited before node20\nnode 2 should be visited before node23\nnode 2 should be visited before node22\nnode 2 should be visited before node24\nnode 2 should be visited before node26\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node27\nnode 2 should be visited before node11\nnode 2 should be visited before node28\nnode 2 should be visited before node6\nnode 3 should be visited before node14\nnode 3 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 5 should be visited before node27\nnode 5 should be visited before node11\nnode 5 should be visited before node4\nnode 5 should be visited before node28\nnode 5 should be visited before node18\nnode 5 should be visited before node3\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 7 should be visited before node26\nnode 7 should be visited before node5\nnode 7 should be visited before node9\nnode 7 should be visited before node28\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node3\nnode 7 should be visited before node12\nnode 8 should be visited before node14\nnode 9 should be visited before node27\nnode 9 should be visited before node15\nnode 9 should be visited before node4\nnode 9 should be visited before node28\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 9 should be visited before node14\nnode 9 should be visited before node12\nnode 10 should be visited before node23\nnode 10 should be visited before node1\nnode 10 should be visited before node24\nnode 10 should be visited before node7\nnode 10 should be visited before node26\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node4\nnode 10 should be visited before node6\nnode 10 should be visited before node12\nnode 11 should be visited before node15\nnode 11 should be visited before node6\nnode 11 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node16\nnode 13 should be visited before node25\nnode 13 should be visited before node29\nnode 13 should be visited before node20\nnode 13 should be visited before node22\nnode 13 should be visited before node24\nnode 13 should be visited before node26\nnode 13 should be visited before node17\nnode 13 should be visited before node9\nnode 13 should be visited before node15\nnode 13 should be visited before node28\nnode 13 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node12\nnode 14 should be visited before node12\nnode 15 should be visited before node4\nnode 15 should be visited before node18\nnode 15 should be visited before node12\nnode 16 should be visited before node21\nnode 16 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node24\nnode 16 should be visited before node26\nnode 16 should be visited before node5\nnode 16 should be visited before node17\nnode 16 should be visited before node9\nnode 16 should be visited before node8\nnode 16 should be visited before node14\nnode 16 should be visited before node12\nnode 17 should be visited before node9\nnode 17 should be visited before node27\nnode 17 should be visited before node11\nnode 17 should be visited before node15\nnode 17 should be visited before node4\nnode 17 should be visited before node28\nnode 17 should be visited before node3\nnode 17 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node3\nnode 18 should be visited before node12\nnode 19 should be visited before node20\nnode 19 should be visited before node23\nnode 19 should be visited before node1\nnode 19 should be visited before node7\nnode 19 should be visited before node17\nnode 19 should be visited before node9\nnode 19 should be visited before node27\nnode 19 should be visited before node4\nnode 19 should be visited before node18\nnode 19 should be visited before node8\nnode 19 should be visited before node3\nnode 20 should be visited before node23\nnode 20 should be visited before node1\nnode 20 should be visited before node7\nnode 20 should be visited before node26\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 20 should be visited before node18\nnode 20 should be visited before node12\nnode 21 should be visited before node19\nnode 21 should be visited before node20\nnode 21 should be visited before node23\nnode 21 should be visited before node24\nnode 21 should be visited before node7\nnode 21 should be visited before node27\nnode 21 should be visited before node4\nnode 21 should be visited before node28\nnode 21 should be visited before node3\nnode 21 should be visited before node14\nnode 21 should be visited before node12\nnode 22 should be visited before node1\nnode 22 should be visited before node24\nnode 22 should be visited before node7\nnode 22 should be visited before node26\nnode 22 should be visited before node9\nnode 22 should be visited before node27\nnode 22 should be visited before node11\nnode 22 should be visited before node15\nnode 22 should be visited before node28\nnode 22 should be visited before node14\nnode 22 should be visited before node12\nnode 23 should be visited before node7\nnode 23 should be visited before node9\nnode 23 should be visited before node27\nnode 23 should be visited before node4\nnode 23 should be visited before node28\nnode 23 should be visited before node8\nnode 23 should be visited before node3\nnode 23 should be visited before node12\nnode 24 should be visited before node17\nnode 24 should be visited before node9\nnode 24 should be visited before node4\nnode 24 should be visited before node28\nnode 24 should be visited before node18\nnode 24 should be visited before node14\nnode 24 should be visited before node12\nnode 25 should be visited before node29\nnode 25 should be visited before node22\nnode 25 should be visited before node24\nnode 25 should be visited before node7\nnode 25 should be visited before node17\nnode 25 should be visited before node9\nnode 25 should be visited before node11\nnode 25 should be visited before node15\nnode 25 should be visited before node28\nnode 25 should be visited before node3\nnode 26 should be visited before node11\nnode 26 should be visited before node4\nnode 26 should be visited before node18\nnode 26 should be visited before node6\nnode 27 should be visited before node11\nnode 27 should be visited before node15\nnode 27 should be visited before node28\nnode 27 should be visited before node18\nnode 27 should be visited before node8\nnode 27 should be visited before node3\nnode 27 should be visited before node12\nnode 28 should be visited before node6\nnode 28 should be visited before node8\nnode 28 should be visited before node3\nnode 28 should be visited before node12\nnode 29 should be visited before node19\nnode 29 should be visited before node20\nnode 29 should be visited before node22\nnode 29 should be visited before node9\nnode 29 should be visited before node27\nnode 29 should be visited before node4\nnode 29 should be visited before node28\nnode 29 should be visited before node18\nnode 29 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,13,10,16,25,21,29,19,22,20,24,23,1,17,7,26,5,9,27,11,28,15,6,4,18,8,3,14,12."
            }
        ]
    },
    {
        "id": "topology-hard-graph54",
        "image": "data/topology/graph_visual/hard/graph54.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node1\nnode 0 should be visited before node24\nnode 2 should be visited before node9\nnode 3 should be visited before node22\nnode 3 should be visited before node18\nnode 3 should be visited before node9\nnode 3 should be visited before node24\nnode 3 should be visited before node7\nnode 4 should be visited before node14\nnode 4 should be visited before node22\nnode 4 should be visited before node24\nnode 5 should be visited before node23\nnode 5 should be visited before node21\nnode 5 should be visited before node4\nnode 5 should be visited before node16\nnode 5 should be visited before node7\nnode 6 should be visited before node5\nnode 6 should be visited before node21\nnode 6 should be visited before node2\nnode 6 should be visited before node16\nnode 6 should be visited before node12\nnode 6 should be visited before node22\nnode 6 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node24\nnode 6 should be visited before node7\nnode 8 should be visited before node0\nnode 8 should be visited before node22\nnode 8 should be visited before node18\nnode 8 should be visited before node13\nnode 9 should be visited before node13\nnode 10 should be visited before node21\nnode 10 should be visited before node8\nnode 10 should be visited before node16\nnode 10 should be visited before node3\nnode 10 should be visited before node14\nnode 10 should be visited before node22\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 11 should be visited before node16\nnode 11 should be visited before node12\nnode 11 should be visited before node18\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 12 should be visited before node22\nnode 13 should be visited before node1\nnode 14 should be visited before node1\nnode 14 should be visited before node24\nnode 14 should be visited before node7\nnode 15 should be visited before node19\nnode 15 should be visited before node21\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 16 should be visited before node3\nnode 16 should be visited before node13\nnode 17 should be visited before node8\nnode 17 should be visited before node0\nnode 17 should be visited before node13\nnode 17 should be visited before node1\nnode 18 should be visited before node7\nnode 19 should be visited before node23\nnode 19 should be visited before node17\nnode 19 should be visited before node8\nnode 19 should be visited before node9\nnode 20 should be visited before node10\nnode 20 should be visited before node2\nnode 20 should be visited before node8\nnode 20 should be visited before node0\nnode 20 should be visited before node14\nnode 20 should be visited before node22\nnode 20 should be visited before node9\nnode 20 should be visited before node24\nnode 20 should be visited before node7\nnode 21 should be visited before node2\nnode 21 should be visited before node18\nnode 21 should be visited before node7\nnode 22 should be visited before node18\nnode 22 should be visited before node9\nnode 22 should be visited before node24\nnode 23 should be visited before node10\nnode 23 should be visited before node8\nnode 23 should be visited before node3\nnode 23 should be visited before node18\nnode 23 should be visited before node1\nnode 25 should be visited before node20\nnode 25 should be visited before node17\nnode 25 should be visited before node21\nnode 25 should be visited before node2\nnode 25 should be visited before node12\nnode 25 should be visited before node0\nnode 25 should be visited before node9\nnode 25 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,11,15,25,5,19,20,12,4,23,17,10,21,8,16,14,2,0,3,22,18,9,24,7,13,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph719",
        "image": "data/topology/graph_visual/hard/graph719.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node16\nnode 0 should be visited before node20\nnode 0 should be visited before node28\nnode 0 should be visited before node26\nnode 0 should be visited before node17\nnode 0 should be visited before node2\nnode 0 should be visited before node11\nnode 0 should be visited before node3\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 1 should be visited before node18\nnode 1 should be visited before node16\nnode 1 should be visited before node20\nnode 1 should be visited before node17\nnode 1 should be visited before node22\nnode 1 should be visited before node11\nnode 1 should be visited before node3\nnode 2 should be visited before node10\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node24\nnode 4 should be visited before node25\nnode 4 should be visited before node23\nnode 4 should be visited before node30\nnode 4 should be visited before node0\nnode 4 should be visited before node18\nnode 4 should be visited before node16\nnode 4 should be visited before node20\nnode 4 should be visited before node28\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 6 should be visited before node22\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node26\nnode 7 should be visited before node13\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node22\nnode 7 should be visited before node3\nnode 8 should be visited before node24\nnode 8 should be visited before node23\nnode 8 should be visited before node27\nnode 8 should be visited before node21\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 8 should be visited before node16\nnode 8 should be visited before node17\nnode 8 should be visited before node13\nnode 8 should be visited before node10\nnode 8 should be visited before node22\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 9 should be visited before node0\nnode 9 should be visited before node18\nnode 9 should be visited before node20\nnode 9 should be visited before node28\nnode 9 should be visited before node22\nnode 9 should be visited before node11\nnode 10 should be visited before node11\nnode 11 should be visited before node5\nnode 12 should be visited before node24\nnode 12 should be visited before node14\nnode 12 should be visited before node25\nnode 12 should be visited before node30\nnode 12 should be visited before node29\nnode 12 should be visited before node7\nnode 12 should be visited before node9\nnode 12 should be visited before node0\nnode 12 should be visited before node16\nnode 12 should be visited before node28\nnode 12 should be visited before node26\nnode 12 should be visited before node17\nnode 12 should be visited before node6\nnode 12 should be visited before node22\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node22\nnode 13 should be visited before node11\nnode 14 should be visited before node27\nnode 14 should be visited before node19\nnode 14 should be visited before node29\nnode 14 should be visited before node21\nnode 14 should be visited before node15\nnode 14 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node0\nnode 14 should be visited before node18\nnode 14 should be visited before node28\nnode 14 should be visited before node26\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 15 should be visited before node9\nnode 15 should be visited before node20\nnode 15 should be visited before node28\nnode 15 should be visited before node26\nnode 15 should be visited before node2\nnode 15 should be visited before node22\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 16 should be visited before node28\nnode 16 should be visited before node13\nnode 16 should be visited before node2\nnode 16 should be visited before node6\nnode 16 should be visited before node22\nnode 17 should be visited before node13\nnode 17 should be visited before node10\nnode 17 should be visited before node22\nnode 17 should be visited before node11\nnode 18 should be visited before node20\nnode 18 should be visited before node26\nnode 18 should be visited before node13\nnode 18 should be visited before node22\nnode 18 should be visited before node3\nnode 18 should be visited before node5\nnode 19 should be visited before node29\nnode 19 should be visited before node15\nnode 19 should be visited before node9\nnode 19 should be visited before node0\nnode 19 should be visited before node20\nnode 19 should be visited before node28\nnode 19 should be visited before node26\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 19 should be visited before node5\nnode 20 should be visited before node26\nnode 20 should be visited before node6\nnode 20 should be visited before node22\nnode 21 should be visited before node7\nnode 21 should be visited before node15\nnode 21 should be visited before node26\nnode 21 should be visited before node13\nnode 21 should be visited before node2\nnode 21 should be visited before node11\nnode 21 should be visited before node5\nnode 22 should be visited before node11\nnode 22 should be visited before node5\nnode 23 should be visited before node27\nnode 23 should be visited before node19\nnode 23 should be visited before node21\nnode 23 should be visited before node7\nnode 23 should be visited before node15\nnode 23 should be visited before node17\nnode 23 should be visited before node13\nnode 23 should be visited before node10\nnode 23 should be visited before node6\nnode 24 should be visited before node25\nnode 24 should be visited before node23\nnode 24 should be visited before node27\nnode 24 should be visited before node19\nnode 24 should be visited before node7\nnode 24 should be visited before node9\nnode 24 should be visited before node0\nnode 24 should be visited before node16\nnode 24 should be visited before node28\nnode 24 should be visited before node26\nnode 24 should be visited before node17\nnode 24 should be visited before node13\nnode 24 should be visited before node10\nnode 24 should be visited before node6\nnode 24 should be visited before node22\nnode 24 should be visited before node11\nnode 24 should be visited before node3\nnode 24 should be visited before node5\nnode 25 should be visited before node23\nnode 25 should be visited before node27\nnode 25 should be visited before node30\nnode 25 should be visited before node29\nnode 25 should be visited before node21\nnode 25 should be visited before node1\nnode 25 should be visited before node9\nnode 25 should be visited before node20\nnode 25 should be visited before node26\nnode 25 should be visited before node13\nnode 25 should be visited before node2\nnode 25 should be visited before node10\nnode 25 should be visited before node22\nnode 25 should be visited before node3\nnode 26 should be visited before node17\nnode 26 should be visited before node13\nnode 26 should be visited before node2\nnode 26 should be visited before node10\nnode 26 should be visited before node22\nnode 26 should be visited before node11\nnode 26 should be visited before node3\nnode 27 should be visited before node15\nnode 27 should be visited before node1\nnode 27 should be visited before node9\nnode 27 should be visited before node0\nnode 27 should be visited before node18\nnode 27 should be visited before node16\nnode 27 should be visited before node28\nnode 27 should be visited before node26\nnode 27 should be visited before node17\nnode 27 should be visited before node13\nnode 27 should be visited before node2\nnode 27 should be visited before node11\nnode 27 should be visited before node3\nnode 27 should be visited before node5\nnode 28 should be visited before node26\nnode 28 should be visited before node17\nnode 28 should be visited before node13\nnode 28 should be visited before node2\nnode 28 should be visited before node10\nnode 28 should be visited before node6\nnode 29 should be visited before node9\nnode 29 should be visited before node16\nnode 29 should be visited before node20\nnode 29 should be visited before node28\nnode 29 should be visited before node2\nnode 29 should be visited before node10\nnode 29 should be visited before node11\nnode 29 should be visited before node5\nnode 30 should be visited before node15\nnode 30 should be visited before node1\nnode 30 should be visited before node9\nnode 30 should be visited before node18\nnode 30 should be visited before node16\nnode 30 should be visited before node28\nnode 30 should be visited before node17\nnode 30 should be visited before node13\nnode 30 should be visited before node10\nnode 30 should be visited before node6\nnode 30 should be visited before node22\nnode 30 should be visited before node11\nnode 30 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,12,24,14,25,23,30,27,19,21,29,7,15,1,9,0,18,16,20,28,26,6,17,2,13,3,10,22,11,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph181",
        "image": "data/topology/graph_visual/hard/graph181.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node4\nnode 0 should be visited before node20\nnode 0 should be visited before node12\nnode 0 should be visited before node10\nnode 0 should be visited before node14\nnode 1 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node11\nnode 2 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 2 should be visited before node6\nnode 2 should be visited before node25\nnode 2 should be visited before node17\nnode 2 should be visited before node26\nnode 2 should be visited before node12\nnode 2 should be visited before node5\nnode 2 should be visited before node11\nnode 3 should be visited before node13\nnode 3 should be visited before node24\nnode 3 should be visited before node23\nnode 3 should be visited before node25\nnode 3 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node1\nnode 3 should be visited before node22\nnode 3 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node19\nnode 4 should be visited before node22\nnode 4 should be visited before node12\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 5 should be visited before node9\nnode 6 should be visited before node26\nnode 6 should be visited before node20\nnode 6 should be visited before node15\nnode 6 should be visited before node22\nnode 6 should be visited before node5\nnode 7 should be visited before node25\nnode 7 should be visited before node26\nnode 7 should be visited before node1\nnode 7 should be visited before node22\nnode 7 should be visited before node12\nnode 7 should be visited before node14\nnode 7 should be visited before node11\nnode 8 should be visited before node2\nnode 8 should be visited before node18\nnode 8 should be visited before node3\nnode 8 should be visited before node13\nnode 8 should be visited before node24\nnode 8 should be visited before node25\nnode 8 should be visited before node0\nnode 8 should be visited before node4\nnode 8 should be visited before node15\nnode 8 should be visited before node22\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 9 should be visited before node14\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node11\nnode 10 should be visited before node19\nnode 11 should be visited before node19\nnode 12 should be visited before node9\nnode 12 should be visited before node14\nnode 12 should be visited before node19\nnode 13 should be visited before node23\nnode 13 should be visited before node6\nnode 13 should be visited before node26\nnode 13 should be visited before node10\nnode 13 should be visited before node5\nnode 15 should be visited before node12\nnode 15 should be visited before node10\nnode 15 should be visited before node9\nnode 15 should be visited before node14\nnode 15 should be visited before node11\nnode 15 should be visited before node19\nnode 16 should be visited before node21\nnode 16 should be visited before node23\nnode 16 should be visited before node25\nnode 16 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node15\nnode 16 should be visited before node11\nnode 17 should be visited before node0\nnode 17 should be visited before node1\nnode 17 should be visited before node15\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node9\nnode 17 should be visited before node11\nnode 18 should be visited before node21\nnode 18 should be visited before node23\nnode 18 should be visited before node7\nnode 18 should be visited before node26\nnode 18 should be visited before node20\nnode 18 should be visited before node1\nnode 18 should be visited before node15\nnode 18 should be visited before node22\nnode 18 should be visited before node12\nnode 18 should be visited before node5\nnode 18 should be visited before node9\nnode 18 should be visited before node14\nnode 18 should be visited before node11\nnode 20 should be visited before node15\nnode 20 should be visited before node9\nnode 20 should be visited before node14\nnode 21 should be visited before node24\nnode 21 should be visited before node23\nnode 21 should be visited before node7\nnode 21 should be visited before node25\nnode 21 should be visited before node17\nnode 21 should be visited before node20\nnode 21 should be visited before node5\nnode 21 should be visited before node14\nnode 21 should be visited before node11\nnode 21 should be visited before node19\nnode 22 should be visited before node10\nnode 22 should be visited before node5\nnode 22 should be visited before node14\nnode 22 should be visited before node19\nnode 23 should be visited before node7\nnode 23 should be visited before node20\nnode 23 should be visited before node15\nnode 23 should be visited before node12\nnode 23 should be visited before node10\nnode 23 should be visited before node5\nnode 23 should be visited before node9\nnode 23 should be visited before node11\nnode 23 should be visited before node19\nnode 24 should be visited before node26\nnode 24 should be visited before node20\nnode 24 should be visited before node1\nnode 24 should be visited before node15\nnode 24 should be visited before node11\nnode 25 should be visited before node4\nnode 25 should be visited before node1\nnode 25 should be visited before node15\nnode 25 should be visited before node22\nnode 25 should be visited before node14\nnode 25 should be visited before node11\nnode 25 should be visited before node19\nnode 26 should be visited before node0\nnode 26 should be visited before node15\nnode 26 should be visited before node12\nnode 26 should be visited before node10\nnode 26 should be visited before node5\nnode 26 should be visited before node9\nnode 26 should be visited before node14\nnode 26 should be visited before node11\nnode 26 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,16,2,18,3,21,13,24,17,23,6,7,25,26,1,0,4,20,22,15,12,10,5,11,9,19,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph488",
        "image": "data/topology/graph_visual/hard/graph488.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 2 should be visited before node9\nnode 2 should be visited before node14\nnode 2 should be visited before node25\nnode 2 should be visited before node11\nnode 2 should be visited before node5\nnode 3 should be visited before node24\nnode 3 should be visited before node14\nnode 3 should be visited before node11\nnode 4 should be visited before node10\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 6 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node24\nnode 6 should be visited before node25\nnode 6 should be visited before node10\nnode 8 should be visited before node19\nnode 8 should be visited before node21\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 8 should be visited before node4\nnode 9 should be visited before node1\nnode 9 should be visited before node14\nnode 9 should be visited before node11\nnode 9 should be visited before node5\nnode 9 should be visited before node15\nnode 10 should be visited before node7\nnode 12 should be visited before node3\nnode 13 should be visited before node26\nnode 13 should be visited before node27\nnode 13 should be visited before node22\nnode 13 should be visited before node3\nnode 13 should be visited before node24\nnode 13 should be visited before node19\nnode 13 should be visited before node20\nnode 13 should be visited before node21\nnode 13 should be visited before node1\nnode 13 should be visited before node25\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node4\nnode 14 should be visited before node7\nnode 14 should be visited before node5\nnode 16 should be visited before node12\nnode 16 should be visited before node26\nnode 16 should be visited before node27\nnode 16 should be visited before node28\nnode 16 should be visited before node8\nnode 16 should be visited before node20\nnode 16 should be visited before node21\nnode 16 should be visited before node1\nnode 16 should be visited before node14\nnode 16 should be visited before node25\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node5\nnode 17 should be visited before node26\nnode 17 should be visited before node24\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node15\nnode 18 should be visited before node29\nnode 18 should be visited before node22\nnode 18 should be visited before node24\nnode 18 should be visited before node9\nnode 18 should be visited before node0\nnode 18 should be visited before node25\nnode 18 should be visited before node5\nnode 18 should be visited before node15\nnode 19 should be visited before node23\nnode 19 should be visited before node21\nnode 19 should be visited before node0\nnode 20 should be visited before node0\nnode 20 should be visited before node7\nnode 20 should be visited before node15\nnode 21 should be visited before node2\nnode 21 should be visited before node9\nnode 21 should be visited before node1\nnode 21 should be visited before node4\nnode 21 should be visited before node10\nnode 21 should be visited before node11\nnode 22 should be visited before node24\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 22 should be visited before node4\nnode 22 should be visited before node7\nnode 22 should be visited before node5\nnode 23 should be visited before node4\nnode 23 should be visited before node5\nnode 24 should be visited before node23\nnode 24 should be visited before node21\nnode 24 should be visited before node14\nnode 24 should be visited before node0\nnode 24 should be visited before node11\nnode 25 should be visited before node10\nnode 25 should be visited before node15\nnode 26 should be visited before node27\nnode 26 should be visited before node22\nnode 26 should be visited before node24\nnode 26 should be visited before node8\nnode 26 should be visited before node23\nnode 26 should be visited before node1\nnode 26 should be visited before node14\nnode 26 should be visited before node0\nnode 26 should be visited before node4\nnode 27 should be visited before node20\nnode 27 should be visited before node23\nnode 27 should be visited before node21\nnode 27 should be visited before node14\nnode 27 should be visited before node0\nnode 27 should be visited before node4\nnode 27 should be visited before node5\nnode 28 should be visited before node3\nnode 28 should be visited before node8\nnode 28 should be visited before node20\nnode 28 should be visited before node23\nnode 28 should be visited before node1\nnode 28 should be visited before node14\nnode 28 should be visited before node4\nnode 28 should be visited before node25\nnode 28 should be visited before node5\nnode 29 should be visited before node28\nnode 29 should be visited before node3\nnode 29 should be visited before node2\nnode 29 should be visited before node14\nnode 29 should be visited before node25\nnode 29 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,13,16,17,18,12,26,29,27,22,28,3,8,20,24,19,23,21,2,9,25,1,14,0,4,10,11,5,15,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph758",
        "image": "data/topology/graph_visual/hard/graph758.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 1 should be visited before node8\nnode 1 should be visited before node22\nnode 1 should be visited before node20\nnode 2 should be visited before node11\nnode 2 should be visited before node17\nnode 2 should be visited before node25\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node0\nnode 2 should be visited before node22\nnode 3 should be visited before node18\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node19\nnode 3 should be visited before node26\nnode 3 should be visited before node4\nnode 3 should be visited before node22\nnode 3 should be visited before node20\nnode 4 should be visited before node30\nnode 5 should be visited before node28\nnode 5 should be visited before node14\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node19\nnode 5 should be visited before node16\nnode 5 should be visited before node10\nnode 5 should be visited before node0\nnode 5 should be visited before node30\nnode 6 should be visited before node9\nnode 6 should be visited before node0\nnode 7 should be visited before node13\nnode 7 should be visited before node23\nnode 7 should be visited before node3\nnode 7 should be visited before node19\nnode 7 should be visited before node27\nnode 7 should be visited before node10\nnode 7 should be visited before node24\nnode 7 should be visited before node4\nnode 7 should be visited before node30\nnode 7 should be visited before node22\nnode 8 should be visited before node21\nnode 8 should be visited before node27\nnode 8 should be visited before node26\nnode 8 should be visited before node24\nnode 8 should be visited before node30\nnode 9 should be visited before node15\nnode 9 should be visited before node1\nnode 9 should be visited before node19\nnode 9 should be visited before node8\nnode 9 should be visited before node29\nnode 9 should be visited before node16\nnode 9 should be visited before node27\nnode 9 should be visited before node20\nnode 10 should be visited before node24\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node3\nnode 11 should be visited before node25\nnode 11 should be visited before node6\nnode 11 should be visited before node20\nnode 12 should be visited before node2\nnode 12 should be visited before node28\nnode 12 should be visited before node13\nnode 12 should be visited before node25\nnode 12 should be visited before node15\nnode 12 should be visited before node19\nnode 12 should be visited before node21\nnode 12 should be visited before node22\nnode 13 should be visited before node18\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 13 should be visited before node27\nnode 13 should be visited before node26\nnode 14 should be visited before node13\nnode 14 should be visited before node23\nnode 14 should be visited before node3\nnode 14 should be visited before node25\nnode 14 should be visited before node9\nnode 14 should be visited before node15\nnode 14 should be visited before node16\nnode 15 should be visited before node1\nnode 15 should be visited before node19\nnode 15 should be visited before node8\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 16 should be visited before node21\nnode 16 should be visited before node26\nnode 16 should be visited before node22\nnode 17 should be visited before node28\nnode 17 should be visited before node23\nnode 17 should be visited before node19\nnode 17 should be visited before node16\nnode 17 should be visited before node21\nnode 17 should be visited before node10\nnode 17 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node29\nnode 18 should be visited before node21\nnode 21 should be visited before node26\nnode 23 should be visited before node25\nnode 23 should be visited before node9\nnode 23 should be visited before node8\nnode 23 should be visited before node16\nnode 23 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node30\nnode 23 should be visited before node20\nnode 24 should be visited before node30\nnode 24 should be visited before node22\nnode 25 should be visited before node9\nnode 25 should be visited before node21\nnode 25 should be visited before node27\nnode 25 should be visited before node10\nnode 25 should be visited before node24\nnode 25 should be visited before node4\nnode 25 should be visited before node30\nnode 25 should be visited before node20\nnode 26 should be visited before node0\nnode 26 should be visited before node24\nnode 26 should be visited before node4\nnode 26 should be visited before node22\nnode 27 should be visited before node0\nnode 27 should be visited before node20\nnode 28 should be visited before node14\nnode 28 should be visited before node7\nnode 28 should be visited before node23\nnode 28 should be visited before node18\nnode 28 should be visited before node1\nnode 28 should be visited before node29\nnode 28 should be visited before node16\nnode 29 should be visited before node27\nnode 29 should be visited before node0\nnode 29 should be visited before node24\nnode 31 should be visited before node13\nnode 31 should be visited before node25\nnode 31 should be visited before node1\nnode 31 should be visited before node16\nnode 31 should be visited before node0\nnode 31 should be visited before node4\nnode 31 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,12,31,2,11,17,28,14,7,13,23,3,25,18,10,6,9,15,29,1,19,16,8,21,27,26,20,0,24,4,22,30."
            }
        ]
    },
    {
        "id": "topology-hard-graph521",
        "image": "data/topology/graph_visual/hard/graph521.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 1 should be visited before node17\nnode 1 should be visited before node22\nnode 1 should be visited before node14\nnode 1 should be visited before node29\nnode 1 should be visited before node24\nnode 1 should be visited before node9\nnode 2 should be visited before node18\nnode 2 should be visited before node16\nnode 2 should be visited before node25\nnode 2 should be visited before node13\nnode 2 should be visited before node12\nnode 2 should be visited before node23\nnode 3 should be visited before node7\nnode 4 should be visited before node19\nnode 4 should be visited before node12\nnode 5 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node23\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 8 should be visited before node22\nnode 8 should be visited before node20\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node14\nnode 8 should be visited before node23\nnode 10 should be visited before node1\nnode 10 should be visited before node28\nnode 10 should be visited before node3\nnode 10 should be visited before node7\nnode 10 should be visited before node4\nnode 10 should be visited before node13\nnode 10 should be visited before node19\nnode 11 should be visited before node3\nnode 11 should be visited before node25\nnode 11 should be visited before node12\nnode 13 should be visited before node9\nnode 13 should be visited before node19\nnode 14 should be visited before node7\nnode 14 should be visited before node5\nnode 15 should be visited before node18\nnode 15 should be visited before node16\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 15 should be visited before node5\nnode 15 should be visited before node6\nnode 15 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node14\nnode 16 should be visited before node24\nnode 16 should be visited before node5\nnode 16 should be visited before node13\nnode 16 should be visited before node19\nnode 16 should be visited before node0\nnode 16 should be visited before node23\nnode 17 should be visited before node15\nnode 17 should be visited before node22\nnode 17 should be visited before node20\nnode 17 should be visited before node18\nnode 17 should be visited before node16\nnode 17 should be visited before node14\nnode 17 should be visited before node24\nnode 17 should be visited before node7\nnode 17 should be visited before node5\nnode 17 should be visited before node0\nnode 17 should be visited before node23\nnode 18 should be visited before node29\nnode 18 should be visited before node7\nnode 18 should be visited before node5\nnode 18 should be visited before node19\nnode 18 should be visited before node23\nnode 19 should be visited before node0\nnode 19 should be visited before node23\nnode 20 should be visited before node2\nnode 20 should be visited before node25\nnode 20 should be visited before node14\nnode 20 should be visited before node5\nnode 20 should be visited before node6\nnode 20 should be visited before node19\nnode 20 should be visited before node0\nnode 20 should be visited before node23\nnode 21 should be visited before node20\nnode 21 should be visited before node11\nnode 21 should be visited before node3\nnode 21 should be visited before node25\nnode 21 should be visited before node29\nnode 21 should be visited before node4\nnode 21 should be visited before node13\nnode 22 should be visited before node20\nnode 22 should be visited before node26\nnode 22 should be visited before node3\nnode 22 should be visited before node7\nnode 22 should be visited before node6\nnode 22 should be visited before node0\nnode 24 should be visited before node5\nnode 24 should be visited before node4\nnode 24 should be visited before node13\nnode 24 should be visited before node9\nnode 24 should be visited before node19\nnode 24 should be visited before node12\nnode 24 should be visited before node23\nnode 25 should be visited before node14\nnode 25 should be visited before node9\nnode 26 should be visited before node11\nnode 26 should be visited before node16\nnode 26 should be visited before node3\nnode 26 should be visited before node29\nnode 26 should be visited before node24\nnode 26 should be visited before node19\nnode 26 should be visited before node23\nnode 27 should be visited before node10\nnode 27 should be visited before node17\nnode 27 should be visited before node15\nnode 27 should be visited before node21\nnode 27 should be visited before node2\nnode 27 should be visited before node14\nnode 27 should be visited before node4\nnode 28 should be visited before node22\nnode 28 should be visited before node16\nnode 28 should be visited before node0\nnode 29 should be visited before node6\nnode 29 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,27,10,21,1,28,17,15,22,20,26,2,11,18,16,25,29,3,24,14,6,7,5,13,4,9,19,12,0,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph974",
        "image": "data/topology/graph_visual/hard/graph974.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node28\nnode 0 should be visited before node7\nnode 0 should be visited before node30\nnode 0 should be visited before node20\nnode 1 should be visited before node25\nnode 1 should be visited before node8\nnode 1 should be visited before node31\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 2 should be visited before node31\nnode 2 should be visited before node20\nnode 3 should be visited before node1\nnode 3 should be visited before node22\nnode 3 should be visited before node8\nnode 3 should be visited before node24\nnode 3 should be visited before node0\nnode 3 should be visited before node28\nnode 3 should be visited before node2\nnode 3 should be visited before node32\nnode 4 should be visited before node15\nnode 4 should be visited before node29\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 4 should be visited before node21\nnode 4 should be visited before node16\nnode 4 should be visited before node2\nnode 5 should be visited before node30\nnode 6 should be visited before node3\nnode 6 should be visited before node12\nnode 6 should be visited before node24\nnode 6 should be visited before node0\nnode 6 should be visited before node28\nnode 6 should be visited before node16\nnode 6 should be visited before node32\nnode 8 should be visited before node24\nnode 8 should be visited before node13\nnode 8 should be visited before node7\nnode 8 should be visited before node32\nnode 8 should be visited before node20\nnode 9 should be visited before node18\nnode 9 should be visited before node33\nnode 9 should be visited before node23\nnode 9 should be visited before node29\nnode 9 should be visited before node17\nnode 9 should be visited before node1\nnode 9 should be visited before node8\nnode 9 should be visited before node21\nnode 9 should be visited before node2\nnode 9 should be visited before node20\nnode 10 should be visited before node33\nnode 10 should be visited before node1\nnode 10 should be visited before node25\nnode 10 should be visited before node27\nnode 10 should be visited before node13\nnode 10 should be visited before node21\nnode 10 should be visited before node14\nnode 10 should be visited before node20\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 11 should be visited before node26\nnode 11 should be visited before node33\nnode 11 should be visited before node23\nnode 11 should be visited before node17\nnode 11 should be visited before node24\nnode 11 should be visited before node0\nnode 11 should be visited before node28\nnode 11 should be visited before node14\nnode 11 should be visited before node7\nnode 11 should be visited before node32\nnode 11 should be visited before node5\nnode 11 should be visited before node30\nnode 11 should be visited before node31\nnode 12 should be visited before node27\nnode 12 should be visited before node13\nnode 12 should be visited before node28\nnode 12 should be visited before node21\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 12 should be visited before node32\nnode 12 should be visited before node31\nnode 12 should be visited before node20\nnode 13 should be visited before node28\nnode 13 should be visited before node16\nnode 13 should be visited before node14\nnode 13 should be visited before node5\nnode 13 should be visited before node31\nnode 14 should be visited before node5\nnode 14 should be visited before node30\nnode 14 should be visited before node20\nnode 15 should be visited before node6\nnode 15 should be visited before node25\nnode 15 should be visited before node27\nnode 15 should be visited before node2\nnode 15 should be visited before node5\nnode 16 should be visited before node7\nnode 16 should be visited before node5\nnode 16 should be visited before node30\nnode 17 should be visited before node25\nnode 17 should be visited before node8\nnode 17 should be visited before node27\nnode 17 should be visited before node0\nnode 17 should be visited before node28\nnode 17 should be visited before node16\nnode 17 should be visited before node30\nnode 17 should be visited before node31\nnode 18 should be visited before node26\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node0\nnode 18 should be visited before node16\nnode 18 should be visited before node2\nnode 19 should be visited before node10\nnode 19 should be visited before node18\nnode 19 should be visited before node23\nnode 19 should be visited before node6\nnode 19 should be visited before node3\nnode 19 should be visited before node1\nnode 19 should be visited before node25\nnode 19 should be visited before node13\nnode 19 should be visited before node21\nnode 19 should be visited before node5\nnode 21 should be visited before node14\nnode 21 should be visited before node7\nnode 21 should be visited before node5\nnode 22 should be visited before node8\nnode 22 should be visited before node24\nnode 22 should be visited before node0\nnode 22 should be visited before node2\nnode 22 should be visited before node7\nnode 22 should be visited before node30\nnode 22 should be visited before node31\nnode 22 should be visited before node20\nnode 23 should be visited before node13\nnode 23 should be visited before node21\nnode 23 should be visited before node7\nnode 23 should be visited before node31\nnode 24 should be visited before node13\nnode 24 should be visited before node21\nnode 24 should be visited before node14\nnode 24 should be visited before node2\nnode 24 should be visited before node32\nnode 24 should be visited before node30\nnode 24 should be visited before node31\nnode 25 should be visited before node27\nnode 25 should be visited before node0\nnode 25 should be visited before node32\nnode 25 should be visited before node31\nnode 25 should be visited before node20\nnode 26 should be visited before node29\nnode 26 should be visited before node3\nnode 26 should be visited before node17\nnode 26 should be visited before node1\nnode 26 should be visited before node12\nnode 26 should be visited before node8\nnode 26 should be visited before node16\nnode 26 should be visited before node5\nnode 26 should be visited before node20\nnode 27 should be visited before node28\nnode 27 should be visited before node14\nnode 27 should be visited before node32\nnode 27 should be visited before node30\nnode 27 should be visited before node31\nnode 28 should be visited before node2\nnode 29 should be visited before node3\nnode 29 should be visited before node1\nnode 29 should be visited before node25\nnode 29 should be visited before node27\nnode 29 should be visited before node13\nnode 29 should be visited before node28\nnode 29 should be visited before node21\nnode 29 should be visited before node14\nnode 29 should be visited before node30\nnode 32 should be visited before node5\nnode 32 should be visited before node30\nnode 32 should be visited before node20\nnode 33 should be visited before node17\nnode 33 should be visited before node25\nnode 33 should be visited before node22\nnode 33 should be visited before node12\nnode 33 should be visited before node24\nnode 33 should be visited before node27\nnode 33 should be visited before node16\nnode 33 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,19,9,4,10,18,23,15,33,26,6,29,17,12,3,1,22,25,8,27,0,24,13,21,32,28,16,14,2,7,5,31,20,30."
            }
        ]
    },
    {
        "id": "topology-hard-graph254",
        "image": "data/topology/graph_visual/hard/graph254.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node27\nnode 0 should be visited before node23\nnode 0 should be visited before node21\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 1 should be visited before node4\nnode 1 should be visited before node9\nnode 1 should be visited before node22\nnode 1 should be visited before node26\nnode 2 should be visited before node15\nnode 2 should be visited before node10\nnode 2 should be visited before node23\nnode 2 should be visited before node19\nnode 2 should be visited before node21\nnode 2 should be visited before node24\nnode 2 should be visited before node25\nnode 2 should be visited before node4\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 3 should be visited before node26\nnode 4 should be visited before node26\nnode 5 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node19\nnode 5 should be visited before node21\nnode 5 should be visited before node25\nnode 6 should be visited before node18\nnode 6 should be visited before node15\nnode 6 should be visited before node14\nnode 6 should be visited before node25\nnode 6 should be visited before node4\nnode 6 should be visited before node7\nnode 6 should be visited before node9\nnode 6 should be visited before node8\nnode 7 should be visited before node22\nnode 7 should be visited before node26\nnode 9 should be visited before node8\nnode 9 should be visited before node26\nnode 10 should be visited before node19\nnode 10 should be visited before node24\nnode 10 should be visited before node22\nnode 11 should be visited before node6\nnode 11 should be visited before node0\nnode 11 should be visited before node10\nnode 11 should be visited before node1\nnode 11 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node27\nnode 12 should be visited before node1\nnode 12 should be visited before node21\nnode 12 should be visited before node7\nnode 12 should be visited before node9\nnode 12 should be visited before node26\nnode 13 should be visited before node20\nnode 13 should be visited before node24\nnode 13 should be visited before node3\nnode 14 should be visited before node25\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node26\nnode 15 should be visited before node22\nnode 16 should be visited before node18\nnode 16 should be visited before node5\nnode 16 should be visited before node20\nnode 16 should be visited before node15\nnode 16 should be visited before node27\nnode 16 should be visited before node23\nnode 16 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node16\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 17 should be visited before node18\nnode 17 should be visited before node7\nnode 18 should be visited before node5\nnode 18 should be visited before node20\nnode 18 should be visited before node27\nnode 18 should be visited before node24\nnode 18 should be visited before node4\nnode 18 should be visited before node8\nnode 19 should be visited before node21\nnode 19 should be visited before node25\nnode 19 should be visited before node7\nnode 20 should be visited before node14\nnode 20 should be visited before node23\nnode 20 should be visited before node1\nnode 20 should be visited before node9\nnode 20 should be visited before node22\nnode 20 should be visited before node26\nnode 21 should be visited before node7\nnode 21 should be visited before node22\nnode 21 should be visited before node8\nnode 21 should be visited before node3\nnode 22 should be visited before node8\nnode 23 should be visited before node8\nnode 23 should be visited before node26\nnode 24 should be visited before node9\nnode 25 should be visited before node9\nnode 25 should be visited before node22\nnode 25 should be visited before node26\nnode 27 should be visited before node10\nnode 27 should be visited before node21\nnode 27 should be visited before node25\nnode 27 should be visited before node4\nnode 27 should be visited before node9\nnode 27 should be visited before node22\nnode 27 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,17,0,6,16,2,13,18,15,5,20,12,23,14,27,1,10,4,19,24,21,25,7,3,9,22,26,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph1116",
        "image": "data/topology/graph_visual/hard/graph1116.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node21\nnode 1 should be visited before node29\nnode 2 should be visited before node23\nnode 3 should be visited before node33\nnode 3 should be visited before node6\nnode 3 should be visited before node18\nnode 3 should be visited before node27\nnode 3 should be visited before node5\nnode 3 should be visited before node15\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node29\nnode 4 should be visited before node11\nnode 4 should be visited before node1\nnode 4 should be visited before node29\nnode 5 should be visited before node16\nnode 6 should be visited before node27\nnode 6 should be visited before node5\nnode 6 should be visited before node15\nnode 6 should be visited before node17\nnode 6 should be visited before node23\nnode 6 should be visited before node0\nnode 6 should be visited before node21\nnode 6 should be visited before node29\nnode 7 should be visited before node31\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node22\nnode 7 should be visited before node6\nnode 7 should be visited before node30\nnode 7 should be visited before node1\nnode 7 should be visited before node25\nnode 7 should be visited before node29\nnode 8 should be visited before node4\nnode 8 should be visited before node27\nnode 8 should be visited before node5\nnode 8 should be visited before node2\nnode 8 should be visited before node0\nnode 9 should be visited before node10\nnode 9 should be visited before node28\nnode 9 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node22\nnode 9 should be visited before node4\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node15\nnode 9 should be visited before node34\nnode 9 should be visited before node30\nnode 9 should be visited before node1\nnode 9 should be visited before node32\nnode 9 should be visited before node2\nnode 9 should be visited before node23\nnode 10 should be visited before node3\nnode 10 should be visited before node27\nnode 10 should be visited before node32\nnode 10 should be visited before node25\nnode 11 should be visited before node23\nnode 11 should be visited before node25\nnode 12 should be visited before node31\nnode 12 should be visited before node3\nnode 12 should be visited before node22\nnode 13 should be visited before node31\nnode 13 should be visited before node4\nnode 13 should be visited before node17\nnode 13 should be visited before node30\nnode 13 should be visited before node1\nnode 14 should be visited before node30\nnode 14 should be visited before node1\nnode 14 should be visited before node25\nnode 14 should be visited before node0\nnode 14 should be visited before node29\nnode 15 should be visited before node34\nnode 15 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node32\nnode 15 should be visited before node21\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 16 should be visited before node29\nnode 17 should be visited before node30\nnode 17 should be visited before node1\nnode 17 should be visited before node2\nnode 17 should be visited before node23\nnode 17 should be visited before node25\nnode 18 should be visited before node27\nnode 18 should be visited before node34\nnode 18 should be visited before node23\nnode 18 should be visited before node25\nnode 18 should be visited before node0\nnode 18 should be visited before node21\nnode 19 should be visited before node12\nnode 19 should be visited before node9\nnode 19 should be visited before node31\nnode 19 should be visited before node22\nnode 19 should be visited before node14\nnode 19 should be visited before node5\nnode 19 should be visited before node30\nnode 19 should be visited before node29\nnode 20 should be visited before node7\nnode 20 should be visited before node10\nnode 20 should be visited before node3\nnode 20 should be visited before node4\nnode 20 should be visited before node5\nnode 20 should be visited before node34\nnode 20 should be visited before node1\nnode 20 should be visited before node16\nnode 20 should be visited before node25\nnode 20 should be visited before node0\nnode 20 should be visited before node21\nnode 21 should be visited before node29\nnode 22 should be visited before node11\nnode 22 should be visited before node18\nnode 22 should be visited before node17\nnode 22 should be visited before node30\nnode 22 should be visited before node32\nnode 22 should be visited before node0\nnode 23 should be visited before node0\nnode 24 should be visited before node9\nnode 24 should be visited before node31\nnode 24 should be visited before node3\nnode 24 should be visited before node6\nnode 24 should be visited before node25\nnode 24 should be visited before node0\nnode 25 should be visited before node29\nnode 26 should be visited before node24\nnode 26 should be visited before node13\nnode 26 should be visited before node19\nnode 26 should be visited before node10\nnode 26 should be visited before node28\nnode 26 should be visited before node22\nnode 26 should be visited before node14\nnode 26 should be visited before node34\nnode 26 should be visited before node1\nnode 26 should be visited before node29\nnode 27 should be visited before node5\nnode 27 should be visited before node34\nnode 27 should be visited before node16\nnode 27 should be visited before node32\nnode 27 should be visited before node2\nnode 28 should be visited before node3\nnode 28 should be visited before node8\nnode 28 should be visited before node11\nnode 28 should be visited before node30\nnode 28 should be visited before node16\nnode 28 should be visited before node23\nnode 28 should be visited before node29\nnode 30 should be visited before node2\nnode 31 should be visited before node14\nnode 31 should be visited before node18\nnode 31 should be visited before node32\nnode 31 should be visited before node2\nnode 31 should be visited before node23\nnode 31 should be visited before node21\nnode 31 should be visited before node29\nnode 32 should be visited before node2\nnode 32 should be visited before node23\nnode 32 should be visited before node0\nnode 33 should be visited before node1\nnode 33 should be visited before node16\nnode 33 should be visited before node23\nnode 33 should be visited before node0\nnode 34 should be visited before node30\nnode 34 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "20,26,7,24,13,19,12,9,31,10,28,22,14,3,8,33,6,18,4,15,17,27,11,1,5,34,32,25,16,30,2,23,0,21,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph1199",
        "image": "data/topology/graph_visual/hard/graph1199.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node8\nnode 0 should be visited before node29\nnode 0 should be visited before node15\nnode 0 should be visited before node9\nnode 0 should be visited before node27\nnode 0 should be visited before node6\nnode 0 should be visited before node13\nnode 0 should be visited before node31\nnode 0 should be visited before node2\nnode 0 should be visited before node5\nnode 1 should be visited before node7\nnode 2 should be visited before node20\nnode 3 should be visited before node16\nnode 3 should be visited before node25\nnode 3 should be visited before node14\nnode 3 should be visited before node10\nnode 3 should be visited before node17\nnode 3 should be visited before node29\nnode 3 should be visited before node15\nnode 3 should be visited before node22\nnode 3 should be visited before node27\nnode 3 should be visited before node34\nnode 3 should be visited before node6\nnode 3 should be visited before node33\nnode 3 should be visited before node13\nnode 3 should be visited before node31\nnode 3 should be visited before node5\nnode 3 should be visited before node32\nnode 3 should be visited before node20\nnode 3 should be visited before node7\nnode 4 should be visited before node19\nnode 4 should be visited before node3\nnode 4 should be visited before node25\nnode 4 should be visited before node14\nnode 4 should be visited before node17\nnode 4 should be visited before node8\nnode 4 should be visited before node29\nnode 4 should be visited before node15\nnode 4 should be visited before node9\nnode 4 should be visited before node34\nnode 4 should be visited before node33\nnode 4 should be visited before node13\nnode 4 should be visited before node31\nnode 4 should be visited before node5\nnode 6 should be visited before node13\nnode 6 should be visited before node31\nnode 6 should be visited before node5\nnode 6 should be visited before node32\nnode 6 should be visited before node20\nnode 6 should be visited before node1\nnode 6 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node32\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 9 should be visited before node33\nnode 9 should be visited before node31\nnode 9 should be visited before node32\nnode 9 should be visited before node1\nnode 10 should be visited before node12\nnode 10 should be visited before node30\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 10 should be visited before node8\nnode 10 should be visited before node29\nnode 10 should be visited before node22\nnode 10 should be visited before node27\nnode 10 should be visited before node6\nnode 10 should be visited before node18\nnode 10 should be visited before node13\nnode 10 should be visited before node20\nnode 10 should be visited before node7\nnode 10 should be visited before node11\nnode 12 should be visited before node28\nnode 12 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node29\nnode 12 should be visited before node15\nnode 12 should be visited before node9\nnode 12 should be visited before node26\nnode 12 should be visited before node34\nnode 12 should be visited before node31\nnode 12 should be visited before node5\nnode 12 should be visited before node20\nnode 12 should be visited before node1\nnode 12 should be visited before node11\nnode 13 should be visited before node1\nnode 13 should be visited before node7\nnode 13 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node12\nnode 14 should be visited before node30\nnode 14 should be visited before node17\nnode 14 should be visited before node24\nnode 14 should be visited before node15\nnode 14 should be visited before node27\nnode 14 should be visited before node34\nnode 14 should be visited before node18\nnode 14 should be visited before node31\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 14 should be visited before node32\nnode 14 should be visited before node20\nnode 15 should be visited before node22\nnode 15 should be visited before node6\nnode 15 should be visited before node33\nnode 15 should be visited before node2\nnode 15 should be visited before node32\nnode 15 should be visited before node20\nnode 15 should be visited before node7\nnode 16 should be visited before node23\nnode 16 should be visited before node25\nnode 16 should be visited before node14\nnode 16 should be visited before node10\nnode 16 should be visited before node30\nnode 16 should be visited before node24\nnode 16 should be visited before node15\nnode 16 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node26\nnode 16 should be visited before node27\nnode 16 should be visited before node6\nnode 16 should be visited before node33\nnode 16 should be visited before node18\nnode 16 should be visited before node31\nnode 16 should be visited before node2\nnode 16 should be visited before node5\nnode 16 should be visited before node32\nnode 16 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node11\nnode 17 should be visited before node24\nnode 17 should be visited before node0\nnode 17 should be visited before node8\nnode 17 should be visited before node9\nnode 17 should be visited before node26\nnode 17 should be visited before node27\nnode 17 should be visited before node6\nnode 17 should be visited before node18\nnode 17 should be visited before node31\nnode 17 should be visited before node2\nnode 17 should be visited before node5\nnode 17 should be visited before node32\nnode 17 should be visited before node20\nnode 17 should be visited before node7\nnode 17 should be visited before node11\nnode 18 should be visited before node13\nnode 18 should be visited before node2\nnode 18 should be visited before node5\nnode 18 should be visited before node32\nnode 18 should be visited before node7\nnode 18 should be visited before node11\nnode 19 should be visited before node3\nnode 19 should be visited before node16\nnode 19 should be visited before node14\nnode 19 should be visited before node17\nnode 19 should be visited before node8\nnode 19 should be visited before node29\nnode 19 should be visited before node26\nnode 19 should be visited before node27\nnode 19 should be visited before node31\nnode 19 should be visited before node2\nnode 19 should be visited before node32\nnode 19 should be visited before node11\nnode 20 should be visited before node7\nnode 20 should be visited before node11\nnode 21 should be visited before node25\nnode 21 should be visited before node14\nnode 21 should be visited before node30\nnode 21 should be visited before node17\nnode 21 should be visited before node24\nnode 21 should be visited before node15\nnode 21 should be visited before node26\nnode 21 should be visited before node34\nnode 21 should be visited before node6\nnode 21 should be visited before node33\nnode 21 should be visited before node18\nnode 21 should be visited before node13\nnode 21 should be visited before node31\nnode 21 should be visited before node2\nnode 21 should be visited before node5\nnode 21 should be visited before node32\nnode 21 should be visited before node20\nnode 21 should be visited before node1\nnode 21 should be visited before node7\nnode 21 should be visited before node11\nnode 22 should be visited before node6\nnode 22 should be visited before node31\nnode 22 should be visited before node32\nnode 22 should be visited before node1\nnode 22 should be visited before node7\nnode 22 should be visited before node11\nnode 23 should be visited before node25\nnode 23 should be visited before node17\nnode 23 should be visited before node8\nnode 23 should be visited before node29\nnode 23 should be visited before node22\nnode 23 should be visited before node33\nnode 23 should be visited before node18\nnode 23 should be visited before node13\nnode 23 should be visited before node31\nnode 23 should be visited before node2\nnode 23 should be visited before node5\nnode 23 should be visited before node32\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 24 should be visited before node29\nnode 24 should be visited before node15\nnode 24 should be visited before node34\nnode 24 should be visited before node6\nnode 24 should be visited before node13\nnode 24 should be visited before node32\nnode 24 should be visited before node1\nnode 24 should be visited before node7\nnode 25 should be visited before node12\nnode 25 should be visited before node30\nnode 25 should be visited before node28\nnode 25 should be visited before node24\nnode 25 should be visited before node0\nnode 25 should be visited before node8\nnode 25 should be visited before node15\nnode 25 should be visited before node9\nnode 25 should be visited before node22\nnode 25 should be visited before node6\nnode 25 should be visited before node33\nnode 25 should be visited before node13\nnode 25 should be visited before node1\nnode 25 should be visited before node7\nnode 26 should be visited before node34\nnode 26 should be visited before node33\nnode 26 should be visited before node2\nnode 26 should be visited before node5\nnode 26 should be visited before node20\nnode 26 should be visited before node7\nnode 26 should be visited before node11\nnode 27 should be visited before node34\nnode 27 should be visited before node18\nnode 27 should be visited before node13\nnode 27 should be visited before node31\nnode 27 should be visited before node32\nnode 28 should be visited before node17\nnode 28 should be visited before node29\nnode 28 should be visited before node15\nnode 28 should be visited before node9\nnode 28 should be visited before node27\nnode 28 should be visited before node6\nnode 28 should be visited before node31\nnode 28 should be visited before node32\nnode 28 should be visited before node1\nnode 28 should be visited before node11\nnode 29 should be visited before node9\nnode 29 should be visited before node22\nnode 29 should be visited before node27\nnode 29 should be visited before node33\nnode 29 should be visited before node18\nnode 29 should be visited before node13\nnode 29 should be visited before node2\nnode 29 should be visited before node5\nnode 29 should be visited before node20\nnode 29 should be visited before node7\nnode 29 should be visited before node11\nnode 30 should be visited before node24\nnode 30 should be visited before node29\nnode 30 should be visited before node18\nnode 30 should be visited before node5\nnode 30 should be visited before node32\nnode 30 should be visited before node20\nnode 30 should be visited before node1\nnode 31 should be visited before node2\nnode 31 should be visited before node20\nnode 31 should be visited before node1\nnode 31 should be visited before node7\nnode 31 should be visited before node11\nnode 32 should be visited before node20\nnode 32 should be visited before node1\nnode 32 should be visited before node7\nnode 33 should be visited before node18\nnode 33 should be visited before node13\nnode 33 should be visited before node31\nnode 33 should be visited before node5\nnode 33 should be visited before node11\nnode 34 should be visited before node13\nnode 34 should be visited before node31\nnode 34 should be visited before node2\nnode 34 should be visited before node5\nnode 34 should be visited before node32\nnode 34 should be visited before node20\nnode 34 should be visited before node1\nnode 34 should be visited before node7\nnode 34 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,21,19,3,16,23,14,25,10,12,30,28,17,24,0,26,8,29,15,9,27,22,33,34,6,18,31,13,5,32,2,1,20,7,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph752",
        "image": "data/topology/graph_visual/hard/graph752.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node12\nnode 0 should be visited before node28\nnode 0 should be visited before node26\nnode 1 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node20\nnode 1 should be visited before node17\nnode 1 should be visited before node12\nnode 2 should be visited before node15\nnode 2 should be visited before node23\nnode 2 should be visited before node0\nnode 3 should be visited before node9\nnode 3 should be visited before node27\nnode 3 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node19\nnode 3 should be visited before node20\nnode 3 should be visited before node25\nnode 3 should be visited before node17\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 4 should be visited before node16\nnode 4 should be visited before node20\nnode 4 should be visited before node25\nnode 4 should be visited before node23\nnode 5 should be visited before node9\nnode 5 should be visited before node30\nnode 5 should be visited before node18\nnode 5 should be visited before node29\nnode 5 should be visited before node25\nnode 5 should be visited before node2\nnode 5 should be visited before node17\nnode 5 should be visited before node23\nnode 6 should be visited before node9\nnode 6 should be visited before node30\nnode 6 should be visited before node18\nnode 6 should be visited before node1\nnode 6 should be visited before node25\nnode 6 should be visited before node28\nnode 7 should be visited before node19\nnode 7 should be visited before node8\nnode 7 should be visited before node25\nnode 7 should be visited before node15\nnode 7 should be visited before node14\nnode 7 should be visited before node26\nnode 8 should be visited before node29\nnode 8 should be visited before node25\nnode 8 should be visited before node23\nnode 8 should be visited before node28\nnode 9 should be visited before node21\nnode 9 should be visited before node11\nnode 9 should be visited before node20\nnode 9 should be visited before node29\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node28\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node2\nnode 10 should be visited before node15\nnode 10 should be visited before node28\nnode 10 should be visited before node13\nnode 11 should be visited before node25\nnode 11 should be visited before node2\nnode 12 should be visited before node13\nnode 14 should be visited before node28\nnode 14 should be visited before node26\nnode 15 should be visited before node0\nnode 16 should be visited before node11\nnode 16 should be visited before node15\nnode 16 should be visited before node23\nnode 16 should be visited before node0\nnode 16 should be visited before node13\nnode 17 should be visited before node14\nnode 17 should be visited before node12\nnode 18 should be visited before node27\nnode 18 should be visited before node10\nnode 18 should be visited before node11\nnode 18 should be visited before node17\nnode 18 should be visited before node14\nnode 18 should be visited before node12\nnode 18 should be visited before node13\nnode 19 should be visited before node11\nnode 19 should be visited before node25\nnode 19 should be visited before node2\nnode 19 should be visited before node17\nnode 19 should be visited before node23\nnode 19 should be visited before node12\nnode 19 should be visited before node28\nnode 19 should be visited before node26\nnode 20 should be visited before node12\nnode 20 should be visited before node28\nnode 21 should be visited before node19\nnode 21 should be visited before node20\nnode 21 should be visited before node23\nnode 21 should be visited before node0\nnode 22 should be visited before node24\nnode 22 should be visited before node5\nnode 22 should be visited before node9\nnode 22 should be visited before node18\nnode 22 should be visited before node27\nnode 22 should be visited before node10\nnode 22 should be visited before node21\nnode 22 should be visited before node16\nnode 22 should be visited before node25\nnode 22 should be visited before node23\nnode 22 should be visited before node0\nnode 22 should be visited before node14\nnode 23 should be visited before node12\nnode 24 should be visited before node5\nnode 24 should be visited before node9\nnode 24 should be visited before node1\nnode 24 should be visited before node4\nnode 24 should be visited before node16\nnode 24 should be visited before node19\nnode 24 should be visited before node0\nnode 24 should be visited before node13\nnode 25 should be visited before node2\nnode 25 should be visited before node17\nnode 25 should be visited before node23\nnode 25 should be visited before node12\nnode 25 should be visited before node28\nnode 26 should be visited before node13\nnode 27 should be visited before node10\nnode 27 should be visited before node1\nnode 27 should be visited before node21\nnode 27 should be visited before node19\nnode 27 should be visited before node11\nnode 27 should be visited before node20\nnode 27 should be visited before node29\nnode 27 should be visited before node17\nnode 27 should be visited before node15\nnode 27 should be visited before node26\nnode 28 should be visited before node26\nnode 28 should be visited before node13\nnode 29 should be visited before node15\nnode 30 should be visited before node7\nnode 30 should be visited before node10\nnode 30 should be visited before node1\nnode 30 should be visited before node16\nnode 30 should be visited before node19\nnode 30 should be visited before node15\nnode 31 should be visited before node24\nnode 31 should be visited before node27\nnode 31 should be visited before node16\nnode 31 should be visited before node8\nnode 31 should be visited before node29\nnode 31 should be visited before node25\nnode 31 should be visited before node17\nnode 31 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,6,22,31,24,5,9,30,18,7,27,10,1,21,8,4,19,29,16,20,11,25,2,17,15,23,14,0,12,28,26,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph159",
        "image": "data/topology/graph_visual/hard/graph159.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node15\nnode 0 should be visited before node17\nnode 0 should be visited before node21\nnode 1 should be visited before node17\nnode 2 should be visited before node20\nnode 2 should be visited before node26\nnode 2 should be visited before node14\nnode 2 should be visited before node23\nnode 4 should be visited before node1\nnode 4 should be visited before node15\nnode 4 should be visited before node17\nnode 4 should be visited before node23\nnode 5 should be visited before node12\nnode 5 should be visited before node16\nnode 5 should be visited before node10\nnode 5 should be visited before node20\nnode 5 should be visited before node22\nnode 5 should be visited before node24\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node3\nnode 5 should be visited before node17\nnode 5 should be visited before node21\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node19\nnode 6 should be visited before node14\nnode 6 should be visited before node24\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 6 should be visited before node15\nnode 6 should be visited before node21\nnode 7 should be visited before node26\nnode 7 should be visited before node22\nnode 7 should be visited before node24\nnode 7 should be visited before node4\nnode 7 should be visited before node13\nnode 7 should be visited before node8\nnode 7 should be visited before node3\nnode 8 should be visited before node15\nnode 9 should be visited before node6\nnode 9 should be visited before node18\nnode 9 should be visited before node26\nnode 9 should be visited before node22\nnode 9 should be visited before node13\nnode 9 should be visited before node15\nnode 9 should be visited before node3\nnode 9 should be visited before node17\nnode 10 should be visited before node20\nnode 10 should be visited before node18\nnode 11 should be visited before node24\nnode 11 should be visited before node4\nnode 11 should be visited before node21\nnode 12 should be visited before node10\nnode 12 should be visited before node2\nnode 12 should be visited before node20\nnode 12 should be visited before node7\nnode 12 should be visited before node18\nnode 12 should be visited before node11\nnode 12 should be visited before node22\nnode 12 should be visited before node13\nnode 12 should be visited before node8\nnode 12 should be visited before node3\nnode 12 should be visited before node21\nnode 13 should be visited before node8\nnode 13 should be visited before node23\nnode 14 should be visited before node24\nnode 14 should be visited before node13\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 14 should be visited before node23\nnode 16 should be visited before node10\nnode 16 should be visited before node2\nnode 16 should be visited before node20\nnode 16 should be visited before node18\nnode 16 should be visited before node26\nnode 16 should be visited before node22\nnode 16 should be visited before node24\nnode 16 should be visited before node13\nnode 16 should be visited before node0\nnode 18 should be visited before node14\nnode 18 should be visited before node22\nnode 18 should be visited before node4\nnode 18 should be visited before node13\nnode 18 should be visited before node21\nnode 18 should be visited before node23\nnode 19 should be visited before node2\nnode 19 should be visited before node18\nnode 19 should be visited before node26\nnode 19 should be visited before node15\nnode 19 should be visited before node17\nnode 19 should be visited before node21\nnode 19 should be visited before node23\nnode 20 should be visited before node18\nnode 20 should be visited before node14\nnode 20 should be visited before node22\nnode 20 should be visited before node4\nnode 20 should be visited before node0\nnode 20 should be visited before node3\nnode 20 should be visited before node17\nnode 22 should be visited before node24\nnode 22 should be visited before node13\nnode 22 should be visited before node21\nnode 24 should be visited before node4\nnode 24 should be visited before node3\nnode 25 should be visited before node10\nnode 25 should be visited before node18\nnode 25 should be visited before node13\nnode 25 should be visited before node1\nnode 25 should be visited before node3\nnode 26 should be visited before node22\nnode 26 should be visited before node8\nnode 26 should be visited before node3\nnode 26 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,9,25,6,12,16,19,7,11,10,2,20,26,18,14,22,0,24,13,21,4,3,8,1,23,15,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph796",
        "image": "data/topology/graph_visual/hard/graph796.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node3\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 1 should be visited before node14\nnode 1 should be visited before node7\nnode 1 should be visited before node30\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node19\nnode 2 should be visited before node21\nnode 2 should be visited before node30\nnode 2 should be visited before node0\nnode 2 should be visited before node5\nnode 2 should be visited before node15\nnode 2 should be visited before node19\nnode 3 should be visited before node28\nnode 3 should be visited before node15\nnode 3 should be visited before node13\nnode 4 should be visited before node18\nnode 4 should be visited before node26\nnode 4 should be visited before node31\nnode 4 should be visited before node24\nnode 4 should be visited before node16\nnode 4 should be visited before node8\nnode 4 should be visited before node20\nnode 4 should be visited before node25\nnode 4 should be visited before node29\nnode 4 should be visited before node21\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 4 should be visited before node28\nnode 4 should be visited before node15\nnode 4 should be visited before node13\nnode 4 should be visited before node19\nnode 5 should be visited before node3\nnode 6 should be visited before node31\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 6 should be visited before node11\nnode 6 should be visited before node27\nnode 6 should be visited before node25\nnode 6 should be visited before node1\nnode 6 should be visited before node29\nnode 6 should be visited before node21\nnode 6 should be visited before node14\nnode 6 should be visited before node7\nnode 6 should be visited before node30\nnode 6 should be visited before node0\nnode 6 should be visited before node15\nnode 6 should be visited before node13\nnode 6 should be visited before node19\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node13\nnode 8 should be visited before node11\nnode 8 should be visited before node27\nnode 8 should be visited before node20\nnode 8 should be visited before node25\nnode 8 should be visited before node1\nnode 8 should be visited before node21\nnode 8 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 8 should be visited before node28\nnode 8 should be visited before node15\nnode 8 should be visited before node19\nnode 9 should be visited before node10\nnode 9 should be visited before node22\nnode 9 should be visited before node8\nnode 9 should be visited before node27\nnode 9 should be visited before node25\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 9 should be visited before node29\nnode 9 should be visited before node21\nnode 9 should be visited before node14\nnode 9 should be visited before node12\nnode 9 should be visited before node7\nnode 9 should be visited before node30\nnode 9 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node28\nnode 9 should be visited before node19\nnode 10 should be visited before node22\nnode 10 should be visited before node11\nnode 10 should be visited before node27\nnode 10 should be visited before node25\nnode 10 should be visited before node2\nnode 10 should be visited before node14\nnode 10 should be visited before node7\nnode 10 should be visited before node30\nnode 10 should be visited before node5\nnode 10 should be visited before node3\nnode 10 should be visited before node28\nnode 10 should be visited before node15\nnode 11 should be visited before node27\nnode 11 should be visited before node25\nnode 11 should be visited before node29\nnode 11 should be visited before node21\nnode 11 should be visited before node14\nnode 11 should be visited before node0\nnode 11 should be visited before node3\nnode 11 should be visited before node13\nnode 12 should be visited before node30\nnode 12 should be visited before node28\nnode 12 should be visited before node15\nnode 12 should be visited before node13\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node5\nnode 14 should be visited before node28\nnode 14 should be visited before node19\nnode 16 should be visited before node9\nnode 16 should be visited before node27\nnode 16 should be visited before node20\nnode 16 should be visited before node2\nnode 16 should be visited before node14\nnode 16 should be visited before node12\nnode 16 should be visited before node0\nnode 16 should be visited before node5\nnode 16 should be visited before node13\nnode 16 should be visited before node19\nnode 17 should be visited before node18\nnode 17 should be visited before node6\nnode 17 should be visited before node31\nnode 17 should be visited before node9\nnode 17 should be visited before node22\nnode 17 should be visited before node8\nnode 17 should be visited before node20\nnode 17 should be visited before node1\nnode 17 should be visited before node2\nnode 17 should be visited before node29\nnode 17 should be visited before node21\nnode 17 should be visited before node30\nnode 17 should be visited before node0\nnode 17 should be visited before node5\nnode 17 should be visited before node3\nnode 17 should be visited before node28\nnode 17 should be visited before node15\nnode 18 should be visited before node6\nnode 18 should be visited before node31\nnode 18 should be visited before node23\nnode 18 should be visited before node16\nnode 18 should be visited before node8\nnode 18 should be visited before node11\nnode 18 should be visited before node29\nnode 18 should be visited before node12\nnode 18 should be visited before node30\nnode 18 should be visited before node0\nnode 18 should be visited before node28\nnode 18 should be visited before node15\nnode 18 should be visited before node13\nnode 20 should be visited before node12\nnode 20 should be visited before node30\nnode 20 should be visited before node0\nnode 20 should be visited before node3\nnode 20 should be visited before node15\nnode 20 should be visited before node19\nnode 21 should be visited before node14\nnode 21 should be visited before node12\nnode 21 should be visited before node30\nnode 21 should be visited before node0\nnode 21 should be visited before node5\nnode 21 should be visited before node3\nnode 21 should be visited before node28\nnode 21 should be visited before node15\nnode 22 should be visited before node8\nnode 22 should be visited before node11\nnode 22 should be visited before node25\nnode 22 should be visited before node2\nnode 22 should be visited before node29\nnode 22 should be visited before node12\nnode 22 should be visited before node7\nnode 22 should be visited before node30\nnode 22 should be visited before node5\nnode 22 should be visited before node3\nnode 22 should be visited before node28\nnode 22 should be visited before node13\nnode 23 should be visited before node16\nnode 23 should be visited before node9\nnode 23 should be visited before node11\nnode 23 should be visited before node27\nnode 23 should be visited before node1\nnode 23 should be visited before node21\nnode 23 should be visited before node12\nnode 23 should be visited before node0\nnode 23 should be visited before node5\nnode 23 should be visited before node3\nnode 23 should be visited before node13\nnode 24 should be visited before node9\nnode 24 should be visited before node10\nnode 24 should be visited before node20\nnode 24 should be visited before node25\nnode 24 should be visited before node1\nnode 24 should be visited before node7\nnode 24 should be visited before node30\nnode 24 should be visited before node0\nnode 24 should be visited before node5\nnode 24 should be visited before node3\nnode 24 should be visited before node28\nnode 24 should be visited before node15\nnode 24 should be visited before node13\nnode 25 should be visited before node1\nnode 25 should be visited before node2\nnode 25 should be visited before node14\nnode 25 should be visited before node12\nnode 25 should be visited before node7\nnode 25 should be visited before node5\nnode 26 should be visited before node6\nnode 26 should be visited before node31\nnode 26 should be visited before node24\nnode 26 should be visited before node9\nnode 26 should be visited before node10\nnode 26 should be visited before node27\nnode 26 should be visited before node20\nnode 26 should be visited before node25\nnode 26 should be visited before node29\nnode 26 should be visited before node14\nnode 26 should be visited before node0\nnode 26 should be visited before node3\nnode 26 should be visited before node15\nnode 26 should be visited before node13\nnode 26 should be visited before node19\nnode 27 should be visited before node3\nnode 27 should be visited before node28\nnode 27 should be visited before node19\nnode 29 should be visited before node21\nnode 29 should be visited before node14\nnode 29 should be visited before node30\nnode 29 should be visited before node0\nnode 29 should be visited before node5\nnode 29 should be visited before node3\nnode 29 should be visited before node13\nnode 30 should be visited before node0\nnode 30 should be visited before node5\nnode 30 should be visited before node3\nnode 30 should be visited before node19\nnode 31 should be visited before node24\nnode 31 should be visited before node16\nnode 31 should be visited before node9\nnode 31 should be visited before node10\nnode 31 should be visited before node22\nnode 31 should be visited before node8\nnode 31 should be visited before node25\nnode 31 should be visited before node12\nnode 31 should be visited before node30\nnode 31 should be visited before node0\nnode 31 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,17,26,18,6,23,31,24,16,9,10,22,8,11,20,27,25,29,1,2,21,14,12,7,30,0,5,19,3,28,15,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph1042",
        "image": "data/topology/graph_visual/hard/graph1042.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node27\nnode 0 should be visited before node2\nnode 0 should be visited before node24\nnode 0 should be visited before node29\nnode 1 should be visited before node23\nnode 1 should be visited before node7\nnode 1 should be visited before node20\nnode 1 should be visited before node6\nnode 1 should be visited before node30\nnode 1 should be visited before node9\nnode 1 should be visited before node21\nnode 1 should be visited before node28\nnode 1 should be visited before node15\nnode 1 should be visited before node18\nnode 1 should be visited before node32\nnode 1 should be visited before node0\nnode 1 should be visited before node3\nnode 1 should be visited before node26\nnode 1 should be visited before node4\nnode 1 should be visited before node24\nnode 1 should be visited before node14\nnode 1 should be visited before node22\nnode 1 should be visited before node17\nnode 1 should be visited before node10\nnode 2 should be visited before node24\nnode 2 should be visited before node29\nnode 2 should be visited before node14\nnode 2 should be visited before node22\nnode 3 should be visited before node2\nnode 3 should be visited before node4\nnode 3 should be visited before node29\nnode 3 should be visited before node14\nnode 3 should be visited before node17\nnode 4 should be visited before node22\nnode 4 should be visited before node17\nnode 5 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node20\nnode 5 should be visited before node6\nnode 5 should be visited before node8\nnode 5 should be visited before node9\nnode 5 should be visited before node28\nnode 5 should be visited before node3\nnode 5 should be visited before node2\nnode 5 should be visited before node14\nnode 5 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node30\nnode 6 should be visited before node9\nnode 6 should be visited before node28\nnode 6 should be visited before node15\nnode 6 should be visited before node11\nnode 6 should be visited before node27\nnode 6 should be visited before node24\nnode 6 should be visited before node14\nnode 6 should be visited before node17\nnode 7 should be visited before node9\nnode 7 should be visited before node28\nnode 7 should be visited before node15\nnode 7 should be visited before node18\nnode 7 should be visited before node27\nnode 7 should be visited before node26\nnode 7 should be visited before node2\nnode 7 should be visited before node14\nnode 7 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node11\nnode 8 should be visited before node27\nnode 8 should be visited before node26\nnode 8 should be visited before node2\nnode 8 should be visited before node14\nnode 8 should be visited before node22\nnode 8 should be visited before node10\nnode 9 should be visited before node21\nnode 9 should be visited before node28\nnode 9 should be visited before node15\nnode 9 should be visited before node32\nnode 9 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node24\nnode 9 should be visited before node29\nnode 9 should be visited before node14\nnode 9 should be visited before node22\nnode 9 should be visited before node10\nnode 11 should be visited before node26\nnode 11 should be visited before node29\nnode 11 should be visited before node22\nnode 11 should be visited before node17\nnode 11 should be visited before node10\nnode 12 should be visited before node30\nnode 12 should be visited before node9\nnode 12 should be visited before node28\nnode 12 should be visited before node15\nnode 12 should be visited before node32\nnode 12 should be visited before node11\nnode 12 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node24\nnode 12 should be visited before node17\nnode 12 should be visited before node10\nnode 13 should be visited before node31\nnode 13 should be visited before node25\nnode 13 should be visited before node16\nnode 13 should be visited before node23\nnode 13 should be visited before node12\nnode 13 should be visited before node7\nnode 13 should be visited before node20\nnode 13 should be visited before node6\nnode 13 should be visited before node8\nnode 13 should be visited before node30\nnode 13 should be visited before node21\nnode 13 should be visited before node28\nnode 13 should be visited before node11\nnode 13 should be visited before node27\nnode 13 should be visited before node2\nnode 13 should be visited before node4\nnode 13 should be visited before node24\nnode 13 should be visited before node29\nnode 13 should be visited before node14\nnode 13 should be visited before node22\nnode 14 should be visited before node22\nnode 14 should be visited before node10\nnode 15 should be visited before node0\nnode 15 should be visited before node26\nnode 15 should be visited before node4\nnode 15 should be visited before node24\nnode 15 should be visited before node14\nnode 15 should be visited before node17\nnode 16 should be visited before node23\nnode 16 should be visited before node12\nnode 16 should be visited before node7\nnode 16 should be visited before node20\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node21\nnode 16 should be visited before node0\nnode 16 should be visited before node11\nnode 16 should be visited before node2\nnode 16 should be visited before node4\nnode 16 should be visited before node24\nnode 16 should be visited before node14\nnode 16 should be visited before node22\nnode 16 should be visited before node10\nnode 17 should be visited before node10\nnode 18 should be visited before node32\nnode 18 should be visited before node3\nnode 18 should be visited before node27\nnode 18 should be visited before node2\nnode 18 should be visited before node4\nnode 18 should be visited before node24\nnode 18 should be visited before node29\nnode 18 should be visited before node14\nnode 18 should be visited before node17\nnode 18 should be visited before node10\nnode 19 should be visited before node16\nnode 19 should be visited before node5\nnode 19 should be visited before node7\nnode 19 should be visited before node20\nnode 19 should be visited before node6\nnode 19 should be visited before node9\nnode 19 should be visited before node21\nnode 19 should be visited before node15\nnode 19 should be visited before node32\nnode 19 should be visited before node2\nnode 19 should be visited before node22\nnode 19 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node28\nnode 20 should be visited before node15\nnode 20 should be visited before node27\nnode 20 should be visited before node24\nnode 20 should be visited before node14\nnode 20 should be visited before node22\nnode 21 should be visited before node28\nnode 21 should be visited before node32\nnode 21 should be visited before node3\nnode 21 should be visited before node4\nnode 21 should be visited before node24\nnode 21 should be visited before node22\nnode 21 should be visited before node10\nnode 23 should be visited before node7\nnode 23 should be visited before node20\nnode 23 should be visited before node6\nnode 23 should be visited before node9\nnode 23 should be visited before node28\nnode 23 should be visited before node18\nnode 23 should be visited before node0\nnode 23 should be visited before node26\nnode 23 should be visited before node2\nnode 23 should be visited before node4\nnode 23 should be visited before node29\nnode 23 should be visited before node14\nnode 23 should be visited before node22\nnode 24 should be visited before node22\nnode 25 should be visited before node16\nnode 25 should be visited before node7\nnode 25 should be visited before node20\nnode 25 should be visited before node30\nnode 25 should be visited before node21\nnode 25 should be visited before node28\nnode 25 should be visited before node15\nnode 25 should be visited before node18\nnode 25 should be visited before node32\nnode 25 should be visited before node0\nnode 25 should be visited before node11\nnode 25 should be visited before node3\nnode 25 should be visited before node24\nnode 25 should be visited before node22\nnode 26 should be visited before node4\nnode 26 should be visited before node29\nnode 26 should be visited before node10\nnode 27 should be visited before node26\nnode 27 should be visited before node2\nnode 27 should be visited before node4\nnode 27 should be visited before node24\nnode 27 should be visited before node17\nnode 28 should be visited before node15\nnode 28 should be visited before node18\nnode 28 should be visited before node32\nnode 28 should be visited before node3\nnode 28 should be visited before node27\nnode 28 should be visited before node26\nnode 28 should be visited before node24\nnode 28 should be visited before node14\nnode 28 should be visited before node22\nnode 30 should be visited before node9\nnode 30 should be visited before node28\nnode 30 should be visited before node18\nnode 30 should be visited before node32\nnode 30 should be visited before node0\nnode 30 should be visited before node27\nnode 30 should be visited before node26\nnode 30 should be visited before node2\nnode 30 should be visited before node24\nnode 30 should be visited before node29\nnode 30 should be visited before node17\nnode 30 should be visited before node10\nnode 31 should be visited before node25\nnode 31 should be visited before node23\nnode 31 should be visited before node5\nnode 31 should be visited before node20\nnode 31 should be visited before node6\nnode 31 should be visited before node8\nnode 31 should be visited before node30\nnode 31 should be visited before node28\nnode 31 should be visited before node15\nnode 31 should be visited before node0\nnode 31 should be visited before node26\nnode 31 should be visited before node29\nnode 31 should be visited before node22\nnode 31 should be visited before node10\nnode 32 should be visited before node27\nnode 32 should be visited before node26\nnode 32 should be visited before node4\nnode 32 should be visited before node24\nnode 32 should be visited before node29\nnode 32 should be visited before node22\nnode 32 should be visited before node10\nnode 33 should be visited before node31\nnode 33 should be visited before node19\nnode 33 should be visited before node16\nnode 33 should be visited before node23\nnode 33 should be visited before node5\nnode 33 should be visited before node12\nnode 33 should be visited before node7\nnode 33 should be visited before node20\nnode 33 should be visited before node6\nnode 33 should be visited before node8\nnode 33 should be visited before node21\nnode 33 should be visited before node15\nnode 33 should be visited before node0\nnode 33 should be visited before node11\nnode 33 should be visited before node3\nnode 33 should be visited before node27\nnode 33 should be visited before node2\nnode 33 should be visited before node29\nnode 33 should be visited before node14\nnode 33 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,13,33,31,19,25,5,16,23,12,7,20,6,8,30,9,21,11,28,15,18,0,32,3,27,26,2,4,24,29,14,17,22,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph440",
        "image": "data/topology/graph_visual/hard/graph440.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node26\nnode 1 should be visited before node2\nnode 1 should be visited before node20\nnode 1 should be visited before node12\nnode 1 should be visited before node22\nnode 1 should be visited before node23\nnode 1 should be visited before node6\nnode 1 should be visited before node24\nnode 1 should be visited before node0\nnode 1 should be visited before node26\nnode 2 should be visited before node19\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node24\nnode 2 should be visited before node0\nnode 2 should be visited before node26\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 3 should be visited before node20\nnode 3 should be visited before node12\nnode 3 should be visited before node22\nnode 3 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node26\nnode 4 should be visited before node25\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 4 should be visited before node22\nnode 4 should be visited before node6\nnode 4 should be visited before node24\nnode 5 should be visited before node18\nnode 5 should be visited before node14\nnode 5 should be visited before node17\nnode 5 should be visited before node4\nnode 5 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node15\nnode 5 should be visited before node12\nnode 5 should be visited before node16\nnode 5 should be visited before node6\nnode 5 should be visited before node24\nnode 6 should be visited before node26\nnode 7 should be visited before node13\nnode 7 should be visited before node2\nnode 7 should be visited before node16\nnode 7 should be visited before node22\nnode 7 should be visited before node23\nnode 7 should be visited before node24\nnode 7 should be visited before node0\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node18\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node15\nnode 8 should be visited before node19\nnode 8 should be visited before node20\nnode 8 should be visited before node12\nnode 8 should be visited before node22\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 9 should be visited before node14\nnode 9 should be visited before node28\nnode 9 should be visited before node27\nnode 9 should be visited before node7\nnode 9 should be visited before node13\nnode 9 should be visited before node15\nnode 9 should be visited before node19\nnode 9 should be visited before node22\nnode 10 should be visited before node18\nnode 10 should be visited before node14\nnode 10 should be visited before node17\nnode 10 should be visited before node28\nnode 10 should be visited before node27\nnode 10 should be visited before node1\nnode 10 should be visited before node21\nnode 10 should be visited before node7\nnode 10 should be visited before node13\nnode 10 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node16\nnode 10 should be visited before node22\nnode 10 should be visited before node0\nnode 10 should be visited before node26\nnode 11 should be visited before node5\nnode 11 should be visited before node18\nnode 11 should be visited before node14\nnode 11 should be visited before node17\nnode 11 should be visited before node3\nnode 11 should be visited before node28\nnode 11 should be visited before node13\nnode 11 should be visited before node15\nnode 11 should be visited before node2\nnode 11 should be visited before node20\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node6\nnode 11 should be visited before node0\nnode 12 should be visited before node22\nnode 12 should be visited before node6\nnode 12 should be visited before node24\nnode 12 should be visited before node0\nnode 12 should be visited before node26\nnode 13 should be visited before node2\nnode 13 should be visited before node19\nnode 13 should be visited before node20\nnode 13 should be visited before node12\nnode 13 should be visited before node22\nnode 13 should be visited before node6\nnode 13 should be visited before node24\nnode 13 should be visited before node0\nnode 14 should be visited before node17\nnode 14 should be visited before node28\nnode 14 should be visited before node27\nnode 14 should be visited before node1\nnode 14 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node16\nnode 15 should be visited before node2\nnode 15 should be visited before node20\nnode 15 should be visited before node16\nnode 15 should be visited before node23\nnode 15 should be visited before node6\nnode 15 should be visited before node0\nnode 15 should be visited before node26\nnode 16 should be visited before node22\nnode 16 should be visited before node23\nnode 16 should be visited before node6\nnode 17 should be visited before node4\nnode 17 should be visited before node3\nnode 17 should be visited before node28\nnode 17 should be visited before node27\nnode 17 should be visited before node1\nnode 17 should be visited before node21\nnode 17 should be visited before node13\nnode 17 should be visited before node2\nnode 17 should be visited before node20\nnode 17 should be visited before node23\nnode 17 should be visited before node6\nnode 17 should be visited before node26\nnode 18 should be visited before node17\nnode 18 should be visited before node25\nnode 18 should be visited before node3\nnode 18 should be visited before node1\nnode 18 should be visited before node21\nnode 18 should be visited before node7\nnode 18 should be visited before node13\nnode 18 should be visited before node2\nnode 18 should be visited before node20\nnode 18 should be visited before node16\nnode 18 should be visited before node22\nnode 18 should be visited before node24\nnode 18 should be visited before node26\nnode 19 should be visited before node12\nnode 19 should be visited before node23\nnode 19 should be visited before node0\nnode 19 should be visited before node26\nnode 20 should be visited before node12\nnode 20 should be visited before node24\nnode 20 should be visited before node26\nnode 21 should be visited before node13\nnode 21 should be visited before node15\nnode 21 should be visited before node2\nnode 21 should be visited before node22\nnode 22 should be visited before node26\nnode 23 should be visited before node6\nnode 23 should be visited before node0\nnode 23 should be visited before node26\nnode 24 should be visited before node0\nnode 24 should be visited before node26\nnode 25 should be visited before node3\nnode 25 should be visited before node1\nnode 25 should be visited before node7\nnode 25 should be visited before node15\nnode 25 should be visited before node2\nnode 25 should be visited before node19\nnode 25 should be visited before node16\nnode 25 should be visited before node22\nnode 25 should be visited before node23\nnode 25 should be visited before node6\nnode 25 should be visited before node26\nnode 27 should be visited before node1\nnode 27 should be visited before node21\nnode 27 should be visited before node7\nnode 27 should be visited before node20\nnode 27 should be visited before node16\nnode 27 should be visited before node22\nnode 27 should be visited before node24\nnode 27 should be visited before node26\nnode 28 should be visited before node21\nnode 28 should be visited before node7\nnode 28 should be visited before node15\nnode 28 should be visited before node20\nnode 28 should be visited before node12\nnode 28 should be visited before node16\nnode 28 should be visited before node24\nnode 28 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,11,10,9,5,18,14,17,4,27,25,3,1,28,21,7,15,13,16,2,20,19,12,23,22,24,6,0,26."
            }
        ]
    },
    {
        "id": "topology-hard-graph970",
        "image": "data/topology/graph_visual/hard/graph970.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node25\nnode 0 should be visited before node26\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node15\nnode 0 should be visited before node6\nnode 0 should be visited before node23\nnode 1 should be visited before node23\nnode 1 should be visited before node18\nnode 2 should be visited before node22\nnode 2 should be visited before node0\nnode 2 should be visited before node11\nnode 2 should be visited before node20\nnode 2 should be visited before node28\nnode 2 should be visited before node4\nnode 2 should be visited before node21\nnode 2 should be visited before node5\nnode 3 should be visited before node14\nnode 3 should be visited before node12\nnode 3 should be visited before node1\nnode 3 should be visited before node15\nnode 3 should be visited before node33\nnode 3 should be visited before node23\nnode 4 should be visited before node9\nnode 4 should be visited before node24\nnode 4 should be visited before node6\nnode 5 should be visited before node33\nnode 6 should be visited before node23\nnode 7 should be visited before node1\nnode 7 should be visited before node8\nnode 7 should be visited before node15\nnode 7 should be visited before node23\nnode 8 should be visited before node15\nnode 8 should be visited before node5\nnode 8 should be visited before node33\nnode 9 should be visited before node18\nnode 10 should be visited before node25\nnode 10 should be visited before node29\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node23\nnode 11 should be visited before node10\nnode 11 should be visited before node25\nnode 11 should be visited before node26\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node7\nnode 11 should be visited before node9\nnode 11 should be visited before node5\nnode 11 should be visited before node23\nnode 11 should be visited before node19\nnode 12 should be visited before node4\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node15\nnode 13 should be visited before node26\nnode 13 should be visited before node4\nnode 13 should be visited before node21\nnode 13 should be visited before node9\nnode 13 should be visited before node6\nnode 14 should be visited before node12\nnode 14 should be visited before node21\nnode 14 should be visited before node16\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 14 should be visited before node6\nnode 16 should be visited before node1\nnode 16 should be visited before node8\nnode 16 should be visited before node9\nnode 16 should be visited before node24\nnode 16 should be visited before node23\nnode 17 should be visited before node10\nnode 17 should be visited before node14\nnode 17 should be visited before node4\nnode 17 should be visited before node1\nnode 17 should be visited before node6\nnode 17 should be visited before node33\nnode 20 should be visited before node10\nnode 20 should be visited before node25\nnode 20 should be visited before node26\nnode 20 should be visited before node14\nnode 20 should be visited before node12\nnode 20 should be visited before node16\nnode 20 should be visited before node9\nnode 20 should be visited before node6\nnode 20 should be visited before node18\nnode 21 should be visited before node16\nnode 21 should be visited before node1\nnode 21 should be visited before node8\nnode 21 should be visited before node9\nnode 21 should be visited before node24\nnode 21 should be visited before node5\nnode 21 should be visited before node33\nnode 21 should be visited before node19\nnode 22 should be visited before node10\nnode 22 should be visited before node28\nnode 22 should be visited before node12\nnode 22 should be visited before node4\nnode 22 should be visited before node16\nnode 22 should be visited before node7\nnode 22 should be visited before node24\nnode 22 should be visited before node6\nnode 22 should be visited before node18\nnode 24 should be visited before node23\nnode 24 should be visited before node18\nnode 25 should be visited before node4\nnode 25 should be visited before node5\nnode 25 should be visited before node19\nnode 26 should be visited before node29\nnode 26 should be visited before node12\nnode 26 should be visited before node1\nnode 26 should be visited before node8\nnode 26 should be visited before node24\nnode 26 should be visited before node6\nnode 27 should be visited before node17\nnode 27 should be visited before node10\nnode 27 should be visited before node6\nnode 28 should be visited before node14\nnode 28 should be visited before node4\nnode 28 should be visited before node21\nnode 28 should be visited before node16\nnode 28 should be visited before node8\nnode 28 should be visited before node24\nnode 28 should be visited before node18\nnode 29 should be visited before node14\nnode 29 should be visited before node12\nnode 29 should be visited before node21\nnode 29 should be visited before node16\nnode 29 should be visited before node7\nnode 29 should be visited before node9\nnode 29 should be visited before node6\nnode 30 should be visited before node13\nnode 30 should be visited before node20\nnode 30 should be visited before node10\nnode 30 should be visited before node25\nnode 30 should be visited before node26\nnode 30 should be visited before node3\nnode 30 should be visited before node4\nnode 30 should be visited before node16\nnode 30 should be visited before node1\nnode 30 should be visited before node15\nnode 30 should be visited before node24\nnode 30 should be visited before node18\nnode 31 should be visited before node30\nnode 31 should be visited before node22\nnode 31 should be visited before node0\nnode 31 should be visited before node17\nnode 31 should be visited before node11\nnode 31 should be visited before node20\nnode 31 should be visited before node25\nnode 31 should be visited before node26\nnode 31 should be visited before node28\nnode 31 should be visited before node1\nnode 31 should be visited before node8\nnode 31 should be visited before node9\nnode 31 should be visited before node24\nnode 31 should be visited before node23\nnode 31 should be visited before node18\nnode 32 should be visited before node30\nnode 32 should be visited before node0\nnode 32 should be visited before node11\nnode 32 should be visited before node20\nnode 32 should be visited before node25\nnode 32 should be visited before node21\nnode 32 should be visited before node6\nnode 32 should be visited before node33\nnode 32 should be visited before node19\nnode 33 should be visited before node23\nnode 33 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,27,31,32,22,17,30,0,11,28,13,20,3,10,26,25,29,14,12,21,4,7,16,19,6,1,8,9,24,15,5,33,23,18."
            }
        ]
    },
    {
        "id": "topology-hard-graph635",
        "image": "data/topology/graph_visual/hard/graph635.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node14\nnode 0 should be visited before node26\nnode 0 should be visited before node27\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node17\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node10\nnode 1 should be visited before node18\nnode 1 should be visited before node15\nnode 1 should be visited before node24\nnode 1 should be visited before node13\nnode 1 should be visited before node10\nnode 2 should be visited before node4\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 5 should be visited before node12\nnode 5 should be visited before node6\nnode 5 should be visited before node3\nnode 5 should be visited before node10\nnode 6 should be visited before node24\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 8 should be visited before node1\nnode 8 should be visited before node23\nnode 8 should be visited before node9\nnode 8 should be visited before node22\nnode 8 should be visited before node26\nnode 8 should be visited before node28\nnode 8 should be visited before node5\nnode 8 should be visited before node11\nnode 8 should be visited before node27\nnode 8 should be visited before node3\nnode 8 should be visited before node17\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 9 should be visited before node14\nnode 9 should be visited before node11\nnode 9 should be visited before node27\nnode 9 should be visited before node24\nnode 9 should be visited before node3\nnode 9 should be visited before node21\nnode 9 should be visited before node7\nnode 9 should be visited before node10\nnode 11 should be visited before node24\nnode 11 should be visited before node21\nnode 11 should be visited before node17\nnode 12 should be visited before node15\nnode 12 should be visited before node17\nnode 12 should be visited before node2\nnode 13 should be visited before node21\nnode 14 should be visited before node11\nnode 15 should be visited before node24\nnode 15 should be visited before node4\nnode 16 should be visited before node9\nnode 16 should be visited before node30\nnode 16 should be visited before node18\nnode 16 should be visited before node25\nnode 16 should be visited before node28\nnode 16 should be visited before node12\nnode 16 should be visited before node27\nnode 16 should be visited before node15\nnode 16 should be visited before node6\nnode 16 should be visited before node24\nnode 16 should be visited before node21\nnode 16 should be visited before node17\nnode 16 should be visited before node4\nnode 16 should be visited before node10\nnode 17 should be visited before node10\nnode 18 should be visited before node0\nnode 18 should be visited before node14\nnode 18 should be visited before node26\nnode 18 should be visited before node28\nnode 18 should be visited before node6\nnode 18 should be visited before node24\nnode 18 should be visited before node3\nnode 18 should be visited before node21\nnode 19 should be visited before node28\nnode 19 should be visited before node20\nnode 19 should be visited before node5\nnode 19 should be visited before node11\nnode 19 should be visited before node27\nnode 19 should be visited before node24\nnode 19 should be visited before node3\nnode 19 should be visited before node17\nnode 19 should be visited before node4\nnode 20 should be visited before node5\nnode 20 should be visited before node12\nnode 20 should be visited before node3\nnode 21 should be visited before node17\nnode 22 should be visited before node19\nnode 22 should be visited before node28\nnode 22 should be visited before node20\nnode 22 should be visited before node5\nnode 22 should be visited before node11\nnode 22 should be visited before node3\nnode 22 should be visited before node4\nnode 22 should be visited before node7\nnode 23 should be visited before node9\nnode 23 should be visited before node14\nnode 23 should be visited before node6\nnode 23 should be visited before node24\nnode 24 should be visited before node17\nnode 25 should be visited before node14\nnode 25 should be visited before node21\nnode 25 should be visited before node4\nnode 26 should be visited before node20\nnode 26 should be visited before node11\nnode 26 should be visited before node3\nnode 26 should be visited before node2\nnode 26 should be visited before node4\nnode 27 should be visited before node15\nnode 27 should be visited before node3\nnode 27 should be visited before node13\nnode 27 should be visited before node2\nnode 28 should be visited before node20\nnode 28 should be visited before node5\nnode 28 should be visited before node27\nnode 29 should be visited before node8\nnode 29 should be visited before node23\nnode 29 should be visited before node9\nnode 29 should be visited before node22\nnode 29 should be visited before node18\nnode 29 should be visited before node19\nnode 29 should be visited before node5\nnode 29 should be visited before node6\nnode 29 should be visited before node24\nnode 29 should be visited before node10\nnode 30 should be visited before node22\nnode 30 should be visited before node18\nnode 30 should be visited before node20\nnode 30 should be visited before node12\nnode 30 should be visited before node6\nnode 30 should be visited before node3\nnode 30 should be visited before node21\nnode 30 should be visited before node2\nnode 30 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,29,30,25,8,1,23,22,18,9,19,0,28,14,26,27,20,11,13,5,21,12,6,3,15,2,7,24,4,17,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph1122",
        "image": "data/topology/graph_visual/hard/graph1122.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node33\nnode 0 should be visited before node2\nnode 0 should be visited before node1\nnode 0 should be visited before node10\nnode 0 should be visited before node16\nnode 0 should be visited before node11\nnode 0 should be visited before node18\nnode 1 should be visited before node11\nnode 1 should be visited before node29\nnode 2 should be visited before node20\nnode 3 should be visited before node8\nnode 3 should be visited before node24\nnode 3 should be visited before node32\nnode 3 should be visited before node29\nnode 3 should be visited before node18\nnode 4 should be visited before node17\nnode 4 should be visited before node30\nnode 4 should be visited before node7\nnode 4 should be visited before node15\nnode 4 should be visited before node0\nnode 4 should be visited before node24\nnode 4 should be visited before node6\nnode 4 should be visited before node10\nnode 4 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 6 should be visited before node33\nnode 6 should be visited before node20\nnode 6 should be visited before node1\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 7 should be visited before node15\nnode 7 should be visited before node13\nnode 7 should be visited before node28\nnode 7 should be visited before node8\nnode 7 should be visited before node31\nnode 7 should be visited before node32\nnode 7 should be visited before node20\nnode 7 should be visited before node26\nnode 7 should be visited before node1\nnode 7 should be visited before node16\nnode 7 should be visited before node18\nnode 8 should be visited before node12\nnode 8 should be visited before node2\nnode 8 should be visited before node20\nnode 8 should be visited before node10\nnode 9 should be visited before node29\nnode 10 should be visited before node18\nnode 12 should be visited before node6\nnode 12 should be visited before node31\nnode 12 should be visited before node2\nnode 12 should be visited before node11\nnode 12 should be visited before node29\nnode 13 should be visited before node23\nnode 13 should be visited before node6\nnode 13 should be visited before node26\nnode 13 should be visited before node10\nnode 13 should be visited before node9\nnode 13 should be visited before node29\nnode 14 should be visited before node18\nnode 15 should be visited before node0\nnode 15 should be visited before node21\nnode 15 should be visited before node31\nnode 15 should be visited before node20\nnode 15 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node16\nnode 15 should be visited before node9\nnode 15 should be visited before node29\nnode 17 should be visited before node22\nnode 17 should be visited before node7\nnode 17 should be visited before node25\nnode 17 should be visited before node24\nnode 17 should be visited before node12\nnode 17 should be visited before node23\nnode 17 should be visited before node2\nnode 17 should be visited before node20\nnode 17 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node9\nnode 17 should be visited before node18\nnode 19 should be visited before node22\nnode 19 should be visited before node7\nnode 19 should be visited before node12\nnode 19 should be visited before node6\nnode 19 should be visited before node33\nnode 19 should be visited before node26\nnode 19 should be visited before node1\nnode 20 should be visited before node26\nnode 20 should be visited before node10\nnode 20 should be visited before node16\nnode 21 should be visited before node24\nnode 21 should be visited before node6\nnode 21 should be visited before node33\nnode 21 should be visited before node1\nnode 21 should be visited before node11\nnode 21 should be visited before node29\nnode 22 should be visited before node27\nnode 22 should be visited before node13\nnode 22 should be visited before node3\nnode 22 should be visited before node31\nnode 22 should be visited before node26\nnode 22 should be visited before node10\nnode 22 should be visited before node5\nnode 22 should be visited before node16\nnode 22 should be visited before node11\nnode 23 should be visited before node33\nnode 23 should be visited before node20\nnode 23 should be visited before node5\nnode 23 should be visited before node16\nnode 23 should be visited before node14\nnode 23 should be visited before node18\nnode 24 should be visited before node23\nnode 24 should be visited before node33\nnode 24 should be visited before node10\nnode 24 should be visited before node9\nnode 24 should be visited before node11\nnode 24 should be visited before node29\nnode 25 should be visited before node15\nnode 25 should be visited before node0\nnode 25 should be visited before node13\nnode 25 should be visited before node24\nnode 25 should be visited before node12\nnode 25 should be visited before node6\nnode 25 should be visited before node31\nnode 25 should be visited before node32\nnode 25 should be visited before node2\nnode 25 should be visited before node16\nnode 25 should be visited before node9\nnode 26 should be visited before node1\nnode 26 should be visited before node16\nnode 26 should be visited before node29\nnode 27 should be visited before node25\nnode 27 should be visited before node13\nnode 27 should be visited before node21\nnode 27 should be visited before node12\nnode 27 should be visited before node20\nnode 27 should be visited before node9\nnode 27 should be visited before node11\nnode 27 should be visited before node29\nnode 28 should be visited before node33\nnode 28 should be visited before node2\nnode 28 should be visited before node26\nnode 28 should be visited before node1\nnode 28 should be visited before node10\nnode 28 should be visited before node18\nnode 30 should be visited before node25\nnode 30 should be visited before node15\nnode 30 should be visited before node3\nnode 30 should be visited before node8\nnode 30 should be visited before node24\nnode 30 should be visited before node31\nnode 30 should be visited before node20\nnode 30 should be visited before node1\nnode 30 should be visited before node16\nnode 30 should be visited before node11\nnode 31 should be visited before node9\nnode 31 should be visited before node11\nnode 32 should be visited before node1\nnode 32 should be visited before node5\nnode 32 should be visited before node16\nnode 32 should be visited before node11\nnode 32 should be visited before node29\nnode 33 should be visited before node26\nnode 33 should be visited before node1\nnode 33 should be visited before node5\nnode 33 should be visited before node14\nnode 33 should be visited before node29\nnode 34 should be visited before node7\nnode 34 should be visited before node27\nnode 34 should be visited before node15\nnode 34 should be visited before node24\nnode 34 should be visited before node33\nnode 34 should be visited before node31\nnode 34 should be visited before node32\nnode 34 should be visited before node26\nnode 34 should be visited before node11\nnode 34 should be visited before node29\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,19,34,17,30,22,7,27,3,28,25,8,15,13,32,12,0,21,31,2,24,6,23,33,20,5,14,26,10,9,1,16,18,11,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph2",
        "image": "data/topology/graph_visual/hard/graph2.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node13\nnode 0 should be visited before node12\nnode 0 should be visited before node22\nnode 1 should be visited before node3\nnode 1 should be visited before node23\nnode 1 should be visited before node19\nnode 1 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node20\nnode 1 should be visited before node10\nnode 2 should be visited before node12\nnode 3 should be visited before node23\nnode 3 should be visited before node4\nnode 3 should be visited before node19\nnode 3 should be visited before node11\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node24\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 3 should be visited before node13\nnode 4 should be visited before node7\nnode 4 should be visited before node25\nnode 4 should be visited before node2\nnode 4 should be visited before node22\nnode 4 should be visited before node16\nnode 5 should be visited before node7\nnode 6 should be visited before node15\nnode 7 should be visited before node20\nnode 7 should be visited before node15\nnode 7 should be visited before node22\nnode 8 should be visited before node20\nnode 8 should be visited before node2\nnode 8 should be visited before node10\nnode 8 should be visited before node24\nnode 8 should be visited before node22\nnode 9 should be visited before node21\nnode 9 should be visited before node5\nnode 9 should be visited before node2\nnode 9 should be visited before node10\nnode 9 should be visited before node24\nnode 9 should be visited before node0\nnode 9 should be visited before node12\nnode 10 should be visited before node13\nnode 11 should be visited before node8\nnode 11 should be visited before node5\nnode 11 should be visited before node20\nnode 11 should be visited before node12\nnode 11 should be visited before node22\nnode 11 should be visited before node16\nnode 14 should be visited before node2\nnode 14 should be visited before node15\nnode 14 should be visited before node22\nnode 14 should be visited before node16\nnode 15 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node24\nnode 17 should be visited before node15\nnode 17 should be visited before node0\nnode 18 should be visited before node7\nnode 18 should be visited before node13\nnode 19 should be visited before node8\nnode 19 should be visited before node20\nnode 19 should be visited before node2\nnode 19 should be visited before node10\nnode 19 should be visited before node0\nnode 19 should be visited before node13\nnode 19 should be visited before node12\nnode 19 should be visited before node16\nnode 20 should be visited before node24\nnode 20 should be visited before node15\nnode 20 should be visited before node22\nnode 21 should be visited before node19\nnode 21 should be visited before node18\nnode 21 should be visited before node24\nnode 21 should be visited before node15\nnode 21 should be visited before node0\nnode 21 should be visited before node13\nnode 21 should be visited before node12\nnode 22 should be visited before node16\nnode 23 should be visited before node21\nnode 23 should be visited before node18\nnode 23 should be visited before node5\nnode 23 should be visited before node7\nnode 23 should be visited before node20\nnode 23 should be visited before node24\nnode 23 should be visited before node6\nnode 24 should be visited before node6\nnode 24 should be visited before node15\nnode 24 should be visited before node13\nnode 24 should be visited before node16\nnode 25 should be visited before node2\nnode 25 should be visited before node10\nnode 25 should be visited before node22\nnode 25 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,9,17,3,23,4,11,14,21,25,5,19,18,8,7,2,10,20,24,6,15,0,13,12,22,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph820",
        "image": "data/topology/graph_visual/hard/graph820.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node6\nnode 0 should be visited before node31\nnode 0 should be visited before node23\nnode 0 should be visited before node13\nnode 0 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node26\nnode 1 should be visited before node27\nnode 1 should be visited before node11\nnode 1 should be visited before node17\nnode 1 should be visited before node19\nnode 1 should be visited before node12\nnode 1 should be visited before node5\nnode 1 should be visited before node29\nnode 1 should be visited before node0\nnode 1 should be visited before node23\nnode 1 should be visited before node13\nnode 3 should be visited before node25\nnode 3 should be visited before node21\nnode 3 should be visited before node27\nnode 3 should be visited before node5\nnode 3 should be visited before node31\nnode 3 should be visited before node7\nnode 3 should be visited before node23\nnode 4 should be visited before node9\nnode 4 should be visited before node8\nnode 4 should be visited before node18\nnode 4 should be visited before node25\nnode 4 should be visited before node28\nnode 4 should be visited before node30\nnode 4 should be visited before node10\nnode 4 should be visited before node26\nnode 4 should be visited before node27\nnode 4 should be visited before node22\nnode 4 should be visited before node5\nnode 4 should be visited before node14\nnode 4 should be visited before node0\nnode 4 should be visited before node6\nnode 4 should be visited before node31\nnode 4 should be visited before node23\nnode 5 should be visited before node14\nnode 5 should be visited before node29\nnode 5 should be visited before node6\nnode 5 should be visited before node7\nnode 6 should be visited before node31\nnode 6 should be visited before node7\nnode 6 should be visited before node23\nnode 6 should be visited before node13\nnode 7 should be visited before node13\nnode 7 should be visited before node2\nnode 8 should be visited before node28\nnode 8 should be visited before node30\nnode 8 should be visited before node26\nnode 8 should be visited before node27\nnode 8 should be visited before node11\nnode 8 should be visited before node17\nnode 8 should be visited before node19\nnode 8 should be visited before node5\nnode 8 should be visited before node0\nnode 8 should be visited before node31\nnode 8 should be visited before node23\nnode 8 should be visited before node2\nnode 9 should be visited before node16\nnode 9 should be visited before node25\nnode 9 should be visited before node26\nnode 9 should be visited before node14\nnode 9 should be visited before node23\nnode 9 should be visited before node2\nnode 10 should be visited before node21\nnode 10 should be visited before node27\nnode 10 should be visited before node22\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node23\nnode 10 should be visited before node2\nnode 11 should be visited before node17\nnode 11 should be visited before node12\nnode 11 should be visited before node22\nnode 11 should be visited before node5\nnode 11 should be visited before node29\nnode 11 should be visited before node6\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 12 should be visited before node22\nnode 12 should be visited before node5\nnode 12 should be visited before node29\nnode 12 should be visited before node0\nnode 12 should be visited before node6\nnode 12 should be visited before node31\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 13 should be visited before node2\nnode 14 should be visited before node29\nnode 14 should be visited before node0\nnode 14 should be visited before node6\nnode 14 should be visited before node31\nnode 14 should be visited before node7\nnode 14 should be visited before node23\nnode 14 should be visited before node13\nnode 15 should be visited before node3\nnode 15 should be visited before node16\nnode 15 should be visited before node24\nnode 15 should be visited before node30\nnode 15 should be visited before node10\nnode 15 should be visited before node26\nnode 15 should be visited before node27\nnode 15 should be visited before node11\nnode 15 should be visited before node17\nnode 15 should be visited before node19\nnode 15 should be visited before node12\nnode 15 should be visited before node5\nnode 15 should be visited before node29\nnode 15 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node31\nnode 15 should be visited before node7\nnode 15 should be visited before node2\nnode 16 should be visited before node18\nnode 16 should be visited before node24\nnode 16 should be visited before node30\nnode 16 should be visited before node10\nnode 16 should be visited before node26\nnode 16 should be visited before node11\nnode 16 should be visited before node17\nnode 16 should be visited before node19\nnode 16 should be visited before node22\nnode 16 should be visited before node0\nnode 16 should be visited before node31\nnode 16 should be visited before node23\nnode 17 should be visited before node19\nnode 17 should be visited before node0\nnode 17 should be visited before node6\nnode 18 should be visited before node25\nnode 18 should be visited before node28\nnode 18 should be visited before node10\nnode 18 should be visited before node21\nnode 18 should be visited before node11\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node5\nnode 18 should be visited before node14\nnode 18 should be visited before node0\nnode 18 should be visited before node31\nnode 18 should be visited before node7\nnode 18 should be visited before node23\nnode 18 should be visited before node2\nnode 19 should be visited before node22\nnode 19 should be visited before node14\nnode 19 should be visited before node6\nnode 19 should be visited before node31\nnode 19 should be visited before node7\nnode 19 should be visited before node23\nnode 19 should be visited before node13\nnode 20 should be visited before node1\nnode 20 should be visited before node9\nnode 20 should be visited before node3\nnode 20 should be visited before node16\nnode 20 should be visited before node18\nnode 20 should be visited before node25\nnode 20 should be visited before node26\nnode 20 should be visited before node5\nnode 20 should be visited before node6\nnode 20 should be visited before node7\nnode 20 should be visited before node23\nnode 20 should be visited before node2\nnode 21 should be visited before node11\nnode 21 should be visited before node17\nnode 21 should be visited before node19\nnode 21 should be visited before node22\nnode 21 should be visited before node29\nnode 21 should be visited before node0\nnode 21 should be visited before node31\nnode 21 should be visited before node7\nnode 21 should be visited before node23\nnode 21 should be visited before node13\nnode 21 should be visited before node2\nnode 22 should be visited before node5\nnode 22 should be visited before node14\nnode 22 should be visited before node29\nnode 22 should be visited before node0\nnode 22 should be visited before node31\nnode 22 should be visited before node23\nnode 22 should be visited before node13\nnode 23 should be visited before node2\nnode 24 should be visited before node26\nnode 24 should be visited before node27\nnode 24 should be visited before node11\nnode 24 should be visited before node22\nnode 24 should be visited before node29\nnode 24 should be visited before node6\nnode 24 should be visited before node31\nnode 24 should be visited before node7\nnode 24 should be visited before node23\nnode 25 should be visited before node30\nnode 25 should be visited before node10\nnode 25 should be visited before node26\nnode 25 should be visited before node21\nnode 25 should be visited before node27\nnode 25 should be visited before node11\nnode 25 should be visited before node17\nnode 25 should be visited before node12\nnode 25 should be visited before node22\nnode 25 should be visited before node5\nnode 25 should be visited before node14\nnode 25 should be visited before node29\nnode 25 should be visited before node31\nnode 25 should be visited before node23\nnode 25 should be visited before node13\nnode 26 should be visited before node21\nnode 26 should be visited before node27\nnode 26 should be visited before node17\nnode 26 should be visited before node22\nnode 26 should be visited before node14\nnode 26 should be visited before node23\nnode 27 should be visited before node12\nnode 27 should be visited before node0\nnode 27 should be visited before node23\nnode 27 should be visited before node13\nnode 28 should be visited before node30\nnode 28 should be visited before node10\nnode 28 should be visited before node26\nnode 28 should be visited before node21\nnode 28 should be visited before node27\nnode 28 should be visited before node5\nnode 28 should be visited before node29\nnode 28 should be visited before node7\nnode 29 should be visited before node0\nnode 29 should be visited before node6\nnode 29 should be visited before node31\nnode 29 should be visited before node23\nnode 29 should be visited before node2\nnode 30 should be visited before node10\nnode 30 should be visited before node21\nnode 30 should be visited before node27\nnode 30 should be visited before node11\nnode 30 should be visited before node17\nnode 30 should be visited before node19\nnode 30 should be visited before node12\nnode 30 should be visited before node14\nnode 30 should be visited before node29\nnode 30 should be visited before node6\nnode 30 should be visited before node7\nnode 30 should be visited before node13\nnode 30 should be visited before node2\nnode 31 should be visited before node7\nnode 31 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,15,20,8,1,9,3,16,18,24,25,28,30,26,10,21,27,11,17,12,19,22,5,14,29,0,6,31,23,7,13,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph68",
        "image": "data/topology/graph_visual/hard/graph68.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 0 should be visited before node9\nnode 0 should be visited before node8\nnode 0 should be visited before node12\nnode 0 should be visited before node24\nnode 0 should be visited before node16\nnode 0 should be visited before node10\nnode 0 should be visited before node19\nnode 0 should be visited before node13\nnode 0 should be visited before node18\nnode 0 should be visited before node5\nnode 0 should be visited before node15\nnode 1 should be visited before node3\nnode 1 should be visited before node8\nnode 1 should be visited before node12\nnode 1 should be visited before node24\nnode 1 should be visited before node20\nnode 1 should be visited before node16\nnode 1 should be visited before node10\nnode 1 should be visited before node13\nnode 1 should be visited before node18\nnode 2 should be visited before node25\nnode 2 should be visited before node11\nnode 2 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node14\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 2 should be visited before node5\nnode 2 should be visited before node15\nnode 3 should be visited before node9\nnode 3 should be visited before node24\nnode 3 should be visited before node21\nnode 3 should be visited before node20\nnode 3 should be visited before node16\nnode 3 should be visited before node10\nnode 3 should be visited before node19\nnode 3 should be visited before node13\nnode 3 should be visited before node18\nnode 3 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node17\nnode 4 should be visited before node3\nnode 4 should be visited before node9\nnode 4 should be visited before node12\nnode 4 should be visited before node21\nnode 4 should be visited before node14\nnode 4 should be visited before node10\nnode 4 should be visited before node19\nnode 4 should be visited before node6\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 6 should be visited before node18\nnode 6 should be visited before node5\nnode 7 should be visited before node0\nnode 7 should be visited before node1\nnode 7 should be visited before node3\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node21\nnode 7 should be visited before node20\nnode 7 should be visited before node16\nnode 7 should be visited before node14\nnode 7 should be visited before node10\nnode 7 should be visited before node19\nnode 7 should be visited before node15\nnode 8 should be visited before node12\nnode 8 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node18\nnode 8 should be visited before node5\nnode 9 should be visited before node8\nnode 9 should be visited before node24\nnode 9 should be visited before node21\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 10 should be visited before node19\nnode 10 should be visited before node6\nnode 10 should be visited before node18\nnode 10 should be visited before node5\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node12\nnode 11 should be visited before node21\nnode 11 should be visited before node10\nnode 11 should be visited before node19\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node18\nnode 11 should be visited before node5\nnode 11 should be visited before node15\nnode 12 should be visited before node24\nnode 12 should be visited before node21\nnode 12 should be visited before node20\nnode 12 should be visited before node16\nnode 12 should be visited before node19\nnode 12 should be visited before node13\nnode 12 should be visited before node6\nnode 12 should be visited before node18\nnode 12 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node5\nnode 14 should be visited before node10\nnode 14 should be visited before node19\nnode 14 should be visited before node13\nnode 14 should be visited before node18\nnode 14 should be visited before node5\nnode 14 should be visited before node15\nnode 16 should be visited before node14\nnode 16 should be visited before node10\nnode 16 should be visited before node19\nnode 16 should be visited before node13\nnode 16 should be visited before node18\nnode 16 should be visited before node5\nnode 17 should be visited before node3\nnode 17 should be visited before node24\nnode 17 should be visited before node16\nnode 17 should be visited before node14\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 18 should be visited before node5\nnode 19 should be visited before node13\nnode 19 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node15\nnode 20 should be visited before node16\nnode 20 should be visited before node10\nnode 20 should be visited before node13\nnode 20 should be visited before node18\nnode 20 should be visited before node5\nnode 21 should be visited before node16\nnode 21 should be visited before node19\nnode 21 should be visited before node13\nnode 21 should be visited before node18\nnode 22 should be visited before node25\nnode 22 should be visited before node0\nnode 22 should be visited before node4\nnode 22 should be visited before node11\nnode 22 should be visited before node17\nnode 22 should be visited before node3\nnode 22 should be visited before node8\nnode 22 should be visited before node21\nnode 22 should be visited before node10\nnode 22 should be visited before node19\nnode 22 should be visited before node13\nnode 22 should be visited before node6\nnode 22 should be visited before node18\nnode 22 should be visited before node5\nnode 22 should be visited before node15\nnode 23 should be visited before node2\nnode 23 should be visited before node25\nnode 23 should be visited before node7\nnode 23 should be visited before node17\nnode 23 should be visited before node21\nnode 23 should be visited before node16\nnode 23 should be visited before node14\nnode 23 should be visited before node10\nnode 23 should be visited before node19\nnode 23 should be visited before node13\nnode 23 should be visited before node6\nnode 23 should be visited before node18\nnode 23 should be visited before node15\nnode 24 should be visited before node21\nnode 24 should be visited before node14\nnode 24 should be visited before node10\nnode 24 should be visited before node19\nnode 24 should be visited before node13\nnode 24 should be visited before node18\nnode 24 should be visited before node5\nnode 25 should be visited before node11\nnode 25 should be visited before node17\nnode 25 should be visited before node9\nnode 25 should be visited before node12\nnode 25 should be visited before node19\nnode 25 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "22,23,4,2,7,25,0,17,11,1,3,9,8,12,24,20,21,16,14,10,19,13,15,6,18,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph203",
        "image": "data/topology/graph_visual/hard/graph203.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node3\nnode 0 should be visited before node14\nnode 0 should be visited before node23\nnode 0 should be visited before node9\nnode 0 should be visited before node21\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node19\nnode 0 should be visited before node13\nnode 0 should be visited before node25\nnode 1 should be visited before node22\nnode 1 should be visited before node25\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 2 should be visited before node23\nnode 2 should be visited before node8\nnode 2 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node26\nnode 3 should be visited before node14\nnode 3 should be visited before node17\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node20\nnode 3 should be visited before node26\nnode 4 should be visited before node12\nnode 4 should be visited before node11\nnode 4 should be visited before node3\nnode 4 should be visited before node14\nnode 4 should be visited before node8\nnode 4 should be visited before node1\nnode 4 should be visited before node21\nnode 4 should be visited before node19\nnode 4 should be visited before node15\nnode 4 should be visited before node13\nnode 4 should be visited before node25\nnode 4 should be visited before node26\nnode 5 should be visited before node19\nnode 5 should be visited before node20\nnode 5 should be visited before node25\nnode 6 should be visited before node9\nnode 6 should be visited before node21\nnode 6 should be visited before node10\nnode 6 should be visited before node22\nnode 6 should be visited before node5\nnode 6 should be visited before node19\nnode 6 should be visited before node25\nnode 7 should be visited before node18\nnode 7 should be visited before node12\nnode 7 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node23\nnode 7 should be visited before node17\nnode 7 should be visited before node21\nnode 7 should be visited before node25\nnode 8 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node22\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node15\nnode 8 should be visited before node20\nnode 8 should be visited before node25\nnode 8 should be visited before node26\nnode 9 should be visited before node21\nnode 9 should be visited before node10\nnode 9 should be visited before node22\nnode 9 should be visited before node20\nnode 9 should be visited before node13\nnode 9 should be visited before node25\nnode 9 should be visited before node26\nnode 10 should be visited before node13\nnode 10 should be visited before node25\nnode 11 should be visited before node23\nnode 11 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 12 should be visited before node11\nnode 12 should be visited before node14\nnode 12 should be visited before node23\nnode 12 should be visited before node17\nnode 12 should be visited before node1\nnode 12 should be visited before node10\nnode 12 should be visited before node22\nnode 12 should be visited before node19\nnode 12 should be visited before node15\nnode 12 should be visited before node20\nnode 12 should be visited before node25\nnode 13 should be visited before node26\nnode 14 should be visited before node17\nnode 14 should be visited before node1\nnode 14 should be visited before node10\nnode 14 should be visited before node22\nnode 14 should be visited before node5\nnode 14 should be visited before node19\nnode 14 should be visited before node25\nnode 15 should be visited before node13\nnode 16 should be visited before node4\nnode 16 should be visited before node12\nnode 16 should be visited before node2\nnode 16 should be visited before node3\nnode 16 should be visited before node8\nnode 16 should be visited before node6\nnode 16 should be visited before node10\nnode 16 should be visited before node22\nnode 16 should be visited before node5\nnode 16 should be visited before node19\nnode 16 should be visited before node15\nnode 16 should be visited before node13\nnode 16 should be visited before node26\nnode 17 should be visited before node8\nnode 17 should be visited before node1\nnode 17 should be visited before node10\nnode 17 should be visited before node22\nnode 17 should be visited before node5\nnode 17 should be visited before node15\nnode 17 should be visited before node13\nnode 17 should be visited before node25\nnode 18 should be visited before node16\nnode 18 should be visited before node4\nnode 18 should be visited before node12\nnode 18 should be visited before node14\nnode 18 should be visited before node9\nnode 18 should be visited before node21\nnode 18 should be visited before node10\nnode 18 should be visited before node15\nnode 18 should be visited before node13\nnode 18 should be visited before node25\nnode 18 should be visited before node26\nnode 19 should be visited before node15\nnode 19 should be visited before node25\nnode 19 should be visited before node26\nnode 20 should be visited before node13\nnode 21 should be visited before node13\nnode 21 should be visited before node25\nnode 21 should be visited before node26\nnode 22 should be visited before node5\nnode 22 should be visited before node25\nnode 23 should be visited before node17\nnode 23 should be visited before node6\nnode 23 should be visited before node1\nnode 23 should be visited before node21\nnode 23 should be visited before node5\nnode 23 should be visited before node20\nnode 23 should be visited before node13\nnode 24 should be visited before node16\nnode 24 should be visited before node4\nnode 24 should be visited before node0\nnode 24 should be visited before node3\nnode 24 should be visited before node17\nnode 24 should be visited before node6\nnode 24 should be visited before node1\nnode 24 should be visited before node19\nnode 24 should be visited before node15\nnode 24 should be visited before node20\nnode 24 should be visited before node13\nnode 24 should be visited before node25\nnode 24 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,24,18,16,4,2,12,0,11,3,23,14,6,17,9,8,21,1,10,22,5,19,20,15,25,13,26."
            }
        ]
    },
    {
        "id": "topology-hard-graph149",
        "image": "data/topology/graph_visual/hard/graph149.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node21\nnode 0 should be visited before node15\nnode 0 should be visited before node2\nnode 1 should be visited before node9\nnode 1 should be visited before node21\nnode 1 should be visited before node15\nnode 1 should be visited before node11\nnode 1 should be visited before node12\nnode 1 should be visited before node10\nnode 3 should be visited before node16\nnode 3 should be visited before node20\nnode 3 should be visited before node8\nnode 3 should be visited before node10\nnode 4 should be visited before node5\nnode 4 should be visited before node18\nnode 4 should be visited before node21\nnode 4 should be visited before node16\nnode 4 should be visited before node25\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node0\nnode 5 should be visited before node13\nnode 5 should be visited before node18\nnode 5 should be visited before node15\nnode 5 should be visited before node20\nnode 6 should be visited before node24\nnode 6 should be visited before node0\nnode 6 should be visited before node13\nnode 6 should be visited before node18\nnode 6 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node2\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 7 should be visited before node6\nnode 7 should be visited before node24\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node21\nnode 7 should be visited before node11\nnode 7 should be visited before node10\nnode 8 should be visited before node12\nnode 8 should be visited before node10\nnode 9 should be visited before node11\nnode 9 should be visited before node16\nnode 9 should be visited before node25\nnode 9 should be visited before node2\nnode 11 should be visited before node8\nnode 11 should be visited before node25\nnode 11 should be visited before node2\nnode 12 should be visited before node10\nnode 13 should be visited before node21\nnode 13 should be visited before node8\nnode 13 should be visited before node10\nnode 14 should be visited before node18\nnode 14 should be visited before node20\nnode 14 should be visited before node10\nnode 15 should be visited before node8\nnode 15 should be visited before node12\nnode 17 should be visited before node5\nnode 17 should be visited before node7\nnode 17 should be visited before node14\nnode 17 should be visited before node24\nnode 17 should be visited before node9\nnode 17 should be visited before node25\nnode 18 should be visited before node15\nnode 18 should be visited before node25\nnode 19 should be visited before node17\nnode 19 should be visited before node6\nnode 19 should be visited before node23\nnode 19 should be visited before node0\nnode 19 should be visited before node15\nnode 19 should be visited before node16\nnode 19 should be visited before node25\nnode 19 should be visited before node2\nnode 20 should be visited before node12\nnode 21 should be visited before node15\nnode 21 should be visited before node11\nnode 21 should be visited before node20\nnode 22 should be visited before node14\nnode 22 should be visited before node9\nnode 22 should be visited before node15\nnode 22 should be visited before node25\nnode 22 should be visited before node12\nnode 23 should be visited before node0\nnode 23 should be visited before node11\nnode 23 should be visited before node16\nnode 23 should be visited before node20\nnode 24 should be visited before node23\nnode 24 should be visited before node0\nnode 24 should be visited before node9\nnode 24 should be visited before node21\nnode 24 should be visited before node11\nnode 24 should be visited before node25\nnode 24 should be visited before node12\nnode 25 should be visited before node12\nnode 26 should be visited before node24\nnode 26 should be visited before node1\nnode 26 should be visited before node0\nnode 26 should be visited before node13\nnode 26 should be visited before node20\nnode 26 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,19,22,26,17,5,7,14,1,6,3,24,13,18,23,9,0,16,21,15,11,20,8,25,2,12,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph1193",
        "image": "data/topology/graph_visual/hard/graph1193.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node26\nnode 0 should be visited before node14\nnode 0 should be visited before node7\nnode 0 should be visited before node31\nnode 0 should be visited before node25\nnode 0 should be visited before node28\nnode 0 should be visited before node2\nnode 0 should be visited before node15\nnode 0 should be visited before node1\nnode 0 should be visited before node21\nnode 0 should be visited before node18\nnode 1 should be visited before node27\nnode 1 should be visited before node6\nnode 1 should be visited before node18\nnode 1 should be visited before node34\nnode 2 should be visited before node1\nnode 2 should be visited before node18\nnode 2 should be visited before node8\nnode 2 should be visited before node34\nnode 3 should be visited before node4\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node26\nnode 3 should be visited before node5\nnode 3 should be visited before node31\nnode 3 should be visited before node32\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 3 should be visited before node1\nnode 3 should be visited before node21\nnode 3 should be visited before node27\nnode 3 should be visited before node12\nnode 3 should be visited before node18\nnode 3 should be visited before node8\nnode 4 should be visited before node0\nnode 4 should be visited before node26\nnode 4 should be visited before node7\nnode 4 should be visited before node32\nnode 4 should be visited before node16\nnode 4 should be visited before node25\nnode 4 should be visited before node28\nnode 4 should be visited before node2\nnode 4 should be visited before node15\nnode 4 should be visited before node1\nnode 4 should be visited before node21\nnode 4 should be visited before node27\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 5 should be visited before node19\nnode 5 should be visited before node25\nnode 5 should be visited before node11\nnode 5 should be visited before node30\nnode 5 should be visited before node27\nnode 5 should be visited before node6\nnode 5 should be visited before node12\nnode 5 should be visited before node18\nnode 5 should be visited before node34\nnode 6 should be visited before node18\nnode 7 should be visited before node5\nnode 7 should be visited before node31\nnode 7 should be visited before node32\nnode 7 should be visited before node16\nnode 7 should be visited before node25\nnode 7 should be visited before node30\nnode 7 should be visited before node15\nnode 7 should be visited before node1\nnode 7 should be visited before node21\nnode 7 should be visited before node27\nnode 7 should be visited before node18\nnode 9 should be visited before node22\nnode 9 should be visited before node24\nnode 9 should be visited before node4\nnode 9 should be visited before node17\nnode 9 should be visited before node0\nnode 9 should be visited before node14\nnode 9 should be visited before node7\nnode 9 should be visited before node5\nnode 9 should be visited before node31\nnode 9 should be visited before node25\nnode 9 should be visited before node11\nnode 9 should be visited before node30\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node13\nnode 9 should be visited before node27\nnode 9 should be visited before node6\nnode 9 should be visited before node18\nnode 9 should be visited before node34\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node16\nnode 10 should be visited before node25\nnode 10 should be visited before node15\nnode 10 should be visited before node21\nnode 10 should be visited before node27\nnode 10 should be visited before node6\nnode 10 should be visited before node33\nnode 10 should be visited before node18\nnode 10 should be visited before node8\nnode 11 should be visited before node30\nnode 11 should be visited before node2\nnode 11 should be visited before node15\nnode 11 should be visited before node13\nnode 11 should be visited before node1\nnode 11 should be visited before node6\nnode 12 should be visited before node18\nnode 12 should be visited before node8\nnode 13 should be visited before node18\nnode 13 should be visited before node8\nnode 13 should be visited before node34\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 14 should be visited before node2\nnode 14 should be visited before node13\nnode 14 should be visited before node1\nnode 14 should be visited before node6\nnode 14 should be visited before node12\nnode 14 should be visited before node33\nnode 14 should be visited before node18\nnode 14 should be visited before node8\nnode 14 should be visited before node34\nnode 15 should be visited before node1\nnode 15 should be visited before node21\nnode 15 should be visited before node27\nnode 15 should be visited before node6\nnode 15 should be visited before node33\nnode 15 should be visited before node8\nnode 15 should be visited before node34\nnode 16 should be visited before node28\nnode 16 should be visited before node11\nnode 16 should be visited before node30\nnode 16 should be visited before node2\nnode 16 should be visited before node21\nnode 16 should be visited before node27\nnode 16 should be visited before node6\nnode 16 should be visited before node12\nnode 16 should be visited before node33\nnode 16 should be visited before node18\nnode 17 should be visited before node0\nnode 17 should be visited before node7\nnode 17 should be visited before node5\nnode 17 should be visited before node31\nnode 17 should be visited before node30\nnode 17 should be visited before node2\nnode 17 should be visited before node21\nnode 17 should be visited before node6\nnode 17 should be visited before node33\nnode 17 should be visited before node8\nnode 17 should be visited before node34\nnode 18 should be visited before node8\nnode 19 should be visited before node25\nnode 19 should be visited before node28\nnode 19 should be visited before node11\nnode 19 should be visited before node13\nnode 19 should be visited before node21\nnode 19 should be visited before node12\nnode 19 should be visited before node33\nnode 19 should be visited before node34\nnode 20 should be visited before node24\nnode 20 should be visited before node3\nnode 20 should be visited before node17\nnode 20 should be visited before node0\nnode 20 should be visited before node14\nnode 20 should be visited before node7\nnode 20 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node32\nnode 20 should be visited before node16\nnode 20 should be visited before node28\nnode 20 should be visited before node11\nnode 20 should be visited before node15\nnode 20 should be visited before node13\nnode 20 should be visited before node21\nnode 20 should be visited before node33\nnode 20 should be visited before node18\nnode 21 should be visited before node27\nnode 21 should be visited before node12\nnode 21 should be visited before node33\nnode 21 should be visited before node18\nnode 22 should be visited before node20\nnode 22 should be visited before node23\nnode 22 should be visited before node3\nnode 22 should be visited before node4\nnode 22 should be visited before node17\nnode 22 should be visited before node0\nnode 22 should be visited before node26\nnode 22 should be visited before node7\nnode 22 should be visited before node5\nnode 22 should be visited before node31\nnode 22 should be visited before node19\nnode 22 should be visited before node16\nnode 22 should be visited before node25\nnode 22 should be visited before node30\nnode 22 should be visited before node1\nnode 22 should be visited before node33\nnode 22 should be visited before node18\nnode 22 should be visited before node34\nnode 23 should be visited before node10\nnode 23 should be visited before node3\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node26\nnode 23 should be visited before node14\nnode 23 should be visited before node5\nnode 23 should be visited before node31\nnode 23 should be visited before node19\nnode 23 should be visited before node11\nnode 23 should be visited before node2\nnode 23 should be visited before node1\nnode 23 should be visited before node27\nnode 23 should be visited before node8\nnode 24 should be visited before node29\nnode 24 should be visited before node10\nnode 24 should be visited before node3\nnode 24 should be visited before node17\nnode 24 should be visited before node14\nnode 24 should be visited before node7\nnode 24 should be visited before node5\nnode 24 should be visited before node19\nnode 24 should be visited before node32\nnode 24 should be visited before node16\nnode 24 should be visited before node25\nnode 24 should be visited before node11\nnode 24 should be visited before node2\nnode 24 should be visited before node15\nnode 24 should be visited before node1\nnode 24 should be visited before node6\nnode 24 should be visited before node12\nnode 24 should be visited before node18\nnode 24 should be visited before node8\nnode 24 should be visited before node34\nnode 25 should be visited before node30\nnode 25 should be visited before node2\nnode 25 should be visited before node15\nnode 25 should be visited before node13\nnode 25 should be visited before node1\nnode 25 should be visited before node6\nnode 25 should be visited before node12\nnode 25 should be visited before node18\nnode 25 should be visited before node8\nnode 26 should be visited before node11\nnode 26 should be visited before node1\nnode 26 should be visited before node6\nnode 26 should be visited before node33\nnode 27 should be visited before node6\nnode 27 should be visited before node18\nnode 27 should be visited before node8\nnode 28 should be visited before node15\nnode 28 should be visited before node13\nnode 28 should be visited before node1\nnode 28 should be visited before node6\nnode 28 should be visited before node12\nnode 28 should be visited before node33\nnode 29 should be visited before node0\nnode 29 should be visited before node26\nnode 29 should be visited before node7\nnode 29 should be visited before node5\nnode 29 should be visited before node31\nnode 29 should be visited before node16\nnode 29 should be visited before node28\nnode 29 should be visited before node30\nnode 29 should be visited before node2\nnode 29 should be visited before node15\nnode 29 should be visited before node13\nnode 29 should be visited before node1\nnode 29 should be visited before node6\nnode 30 should be visited before node2\nnode 30 should be visited before node21\nnode 30 should be visited before node6\nnode 30 should be visited before node33\nnode 30 should be visited before node18\nnode 31 should be visited before node25\nnode 31 should be visited before node28\nnode 31 should be visited before node11\nnode 31 should be visited before node2\nnode 31 should be visited before node15\nnode 31 should be visited before node13\nnode 31 should be visited before node1\nnode 31 should be visited before node12\nnode 31 should be visited before node33\nnode 31 should be visited before node18\nnode 32 should be visited before node25\nnode 32 should be visited before node11\nnode 32 should be visited before node2\nnode 32 should be visited before node21\nnode 32 should be visited before node27\nnode 32 should be visited before node6\nnode 32 should be visited before node18\nnode 33 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,22,20,23,24,29,10,3,4,17,0,26,14,7,5,31,32,16,19,25,28,11,30,15,13,2,21,1,12,33,27,34,6,18,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph940",
        "image": "data/topology/graph_visual/hard/graph940.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node8\nnode 0 should be visited before node13\nnode 1 should be visited before node5\nnode 1 should be visited before node15\nnode 1 should be visited before node10\nnode 1 should be visited before node26\nnode 1 should be visited before node31\nnode 1 should be visited before node7\nnode 1 should be visited before node9\nnode 1 should be visited before node29\nnode 1 should be visited before node18\nnode 1 should be visited before node27\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 1 should be visited before node14\nnode 1 should be visited before node0\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 2 should be visited before node8\nnode 2 should be visited before node25\nnode 3 should be visited before node6\nnode 3 should be visited before node0\nnode 3 should be visited before node12\nnode 3 should be visited before node30\nnode 3 should be visited before node25\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 5 should be visited before node10\nnode 5 should be visited before node26\nnode 5 should be visited before node31\nnode 5 should be visited before node22\nnode 5 should be visited before node29\nnode 5 should be visited before node16\nnode 5 should be visited before node27\nnode 5 should be visited before node17\nnode 5 should be visited before node19\nnode 5 should be visited before node4\nnode 5 should be visited before node0\nnode 5 should be visited before node12\nnode 5 should be visited before node30\nnode 5 should be visited before node2\nnode 5 should be visited before node25\nnode 6 should be visited before node14\nnode 6 should be visited before node12\nnode 6 should be visited before node30\nnode 6 should be visited before node8\nnode 6 should be visited before node13\nnode 6 should be visited before node25\nnode 7 should be visited before node22\nnode 7 should be visited before node29\nnode 7 should be visited before node16\nnode 7 should be visited before node18\nnode 7 should be visited before node17\nnode 7 should be visited before node4\nnode 7 should be visited before node14\nnode 7 should be visited before node0\nnode 7 should be visited before node13\nnode 7 should be visited before node25\nnode 8 should be visited before node25\nnode 9 should be visited before node22\nnode 9 should be visited before node16\nnode 9 should be visited before node24\nnode 9 should be visited before node18\nnode 9 should be visited before node27\nnode 9 should be visited before node19\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node12\nnode 9 should be visited before node2\nnode 9 should be visited before node25\nnode 10 should be visited before node22\nnode 10 should be visited before node29\nnode 10 should be visited before node24\nnode 10 should be visited before node18\nnode 10 should be visited before node27\nnode 10 should be visited before node17\nnode 10 should be visited before node19\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 10 should be visited before node30\nnode 10 should be visited before node25\nnode 11 should be visited before node23\nnode 11 should be visited before node10\nnode 11 should be visited before node26\nnode 11 should be visited before node22\nnode 11 should be visited before node16\nnode 11 should be visited before node18\nnode 11 should be visited before node27\nnode 11 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 12 should be visited before node30\nnode 12 should be visited before node13\nnode 12 should be visited before node25\nnode 14 should be visited before node12\nnode 14 should be visited before node30\nnode 14 should be visited before node2\nnode 15 should be visited before node11\nnode 15 should be visited before node10\nnode 15 should be visited before node31\nnode 15 should be visited before node9\nnode 15 should be visited before node22\nnode 15 should be visited before node16\nnode 15 should be visited before node24\nnode 15 should be visited before node19\nnode 15 should be visited before node3\nnode 15 should be visited before node6\nnode 15 should be visited before node14\nnode 16 should be visited before node24\nnode 16 should be visited before node27\nnode 16 should be visited before node17\nnode 16 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node6\nnode 16 should be visited before node0\nnode 16 should be visited before node30\nnode 16 should be visited before node2\nnode 16 should be visited before node8\nnode 16 should be visited before node13\nnode 16 should be visited before node25\nnode 17 should be visited before node19\nnode 17 should be visited before node4\nnode 17 should be visited before node6\nnode 17 should be visited before node14\nnode 17 should be visited before node12\nnode 17 should be visited before node30\nnode 17 should be visited before node13\nnode 17 should be visited before node25\nnode 18 should be visited before node27\nnode 18 should be visited before node17\nnode 18 should be visited before node19\nnode 18 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node14\nnode 18 should be visited before node2\nnode 18 should be visited before node13\nnode 18 should be visited before node25\nnode 19 should be visited before node14\nnode 19 should be visited before node0\nnode 19 should be visited before node2\nnode 19 should be visited before node8\nnode 19 should be visited before node25\nnode 20 should be visited before node31\nnode 20 should be visited before node7\nnode 20 should be visited before node9\nnode 20 should be visited before node16\nnode 20 should be visited before node24\nnode 20 should be visited before node27\nnode 20 should be visited before node17\nnode 20 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node6\nnode 20 should be visited before node0\nnode 20 should be visited before node30\nnode 20 should be visited before node2\nnode 20 should be visited before node8\nnode 20 should be visited before node13\nnode 21 should be visited before node1\nnode 21 should be visited before node15\nnode 21 should be visited before node11\nnode 21 should be visited before node23\nnode 21 should be visited before node31\nnode 21 should be visited before node7\nnode 21 should be visited before node29\nnode 21 should be visited before node16\nnode 21 should be visited before node24\nnode 21 should be visited before node18\nnode 21 should be visited before node17\nnode 21 should be visited before node3\nnode 21 should be visited before node14\nnode 21 should be visited before node0\nnode 21 should be visited before node30\nnode 21 should be visited before node2\nnode 21 should be visited before node8\nnode 21 should be visited before node13\nnode 22 should be visited before node16\nnode 22 should be visited before node18\nnode 22 should be visited before node27\nnode 22 should be visited before node17\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node3\nnode 22 should be visited before node6\nnode 22 should be visited before node14\nnode 22 should be visited before node12\nnode 22 should be visited before node30\nnode 22 should be visited before node13\nnode 23 should be visited before node10\nnode 23 should be visited before node26\nnode 23 should be visited before node20\nnode 23 should be visited before node31\nnode 23 should be visited before node7\nnode 23 should be visited before node9\nnode 23 should be visited before node22\nnode 23 should be visited before node29\nnode 23 should be visited before node18\nnode 23 should be visited before node19\nnode 23 should be visited before node6\nnode 23 should be visited before node0\nnode 23 should be visited before node12\nnode 23 should be visited before node30\nnode 23 should be visited before node2\nnode 23 should be visited before node8\nnode 23 should be visited before node13\nnode 24 should be visited before node18\nnode 24 should be visited before node17\nnode 24 should be visited before node3\nnode 24 should be visited before node14\nnode 24 should be visited before node12\nnode 24 should be visited before node30\nnode 24 should be visited before node2\nnode 24 should be visited before node8\nnode 24 should be visited before node25\nnode 26 should be visited before node20\nnode 26 should be visited before node7\nnode 26 should be visited before node29\nnode 26 should be visited before node27\nnode 26 should be visited before node19\nnode 26 should be visited before node0\nnode 26 should be visited before node12\nnode 26 should be visited before node30\nnode 26 should be visited before node2\nnode 26 should be visited before node13\nnode 27 should be visited before node4\nnode 27 should be visited before node3\nnode 27 should be visited before node0\nnode 27 should be visited before node12\nnode 27 should be visited before node8\nnode 27 should be visited before node25\nnode 28 should be visited before node21\nnode 28 should be visited before node1\nnode 28 should be visited before node15\nnode 28 should be visited before node11\nnode 28 should be visited before node23\nnode 28 should be visited before node10\nnode 28 should be visited before node31\nnode 28 should be visited before node7\nnode 28 should be visited before node22\nnode 28 should be visited before node24\nnode 28 should be visited before node19\nnode 28 should be visited before node4\nnode 28 should be visited before node3\nnode 28 should be visited before node6\nnode 28 should be visited before node12\nnode 28 should be visited before node30\nnode 28 should be visited before node2\nnode 28 should be visited before node8\nnode 28 should be visited before node13\nnode 29 should be visited before node16\nnode 29 should be visited before node24\nnode 29 should be visited before node19\nnode 29 should be visited before node6\nnode 29 should be visited before node14\nnode 29 should be visited before node0\nnode 29 should be visited before node12\nnode 29 should be visited before node30\nnode 29 should be visited before node2\nnode 29 should be visited before node8\nnode 31 should be visited before node9\nnode 31 should be visited before node16\nnode 31 should be visited before node17\nnode 31 should be visited before node4\nnode 31 should be visited before node6\nnode 31 should be visited before node14\nnode 31 should be visited before node30\nnode 31 should be visited before node8\nnode 32 should be visited before node15\nnode 32 should be visited before node11\nnode 32 should be visited before node23\nnode 32 should be visited before node10\nnode 32 should be visited before node26\nnode 32 should be visited before node7\nnode 32 should be visited before node18\nnode 32 should be visited before node27\nnode 32 should be visited before node17\nnode 32 should be visited before node19\nnode 32 should be visited before node12\nnode 32 should be visited before node30\nnode 32 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "28,32,21,1,5,15,11,23,10,26,20,31,7,9,29,22,16,24,18,27,17,19,4,3,6,0,14,12,2,30,13,8,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph265",
        "image": "data/topology/graph_visual/hard/graph265.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node17\nnode 0 should be visited before node11\nnode 0 should be visited before node10\nnode 0 should be visited before node14\nnode 0 should be visited before node23\nnode 0 should be visited before node6\nnode 1 should be visited before node16\nnode 1 should be visited before node22\nnode 1 should be visited before node21\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 2 should be visited before node23\nnode 3 should be visited before node7\nnode 3 should be visited before node19\nnode 3 should be visited before node18\nnode 3 should be visited before node11\nnode 3 should be visited before node14\nnode 3 should be visited before node21\nnode 3 should be visited before node23\nnode 4 should be visited before node9\nnode 4 should be visited before node3\nnode 4 should be visited before node25\nnode 4 should be visited before node13\nnode 4 should be visited before node27\nnode 4 should be visited before node18\nnode 4 should be visited before node11\nnode 4 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node25\nnode 5 should be visited before node27\nnode 5 should be visited before node7\nnode 5 should be visited before node19\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node23\nnode 5 should be visited before node6\nnode 7 should be visited before node14\nnode 7 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node27\nnode 8 should be visited before node0\nnode 8 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node23\nnode 8 should be visited before node6\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node27\nnode 9 should be visited before node0\nnode 9 should be visited before node17\nnode 9 should be visited before node11\nnode 9 should be visited before node22\nnode 10 should be visited before node22\nnode 11 should be visited before node14\nnode 11 should be visited before node21\nnode 11 should be visited before node23\nnode 11 should be visited before node6\nnode 12 should be visited before node25\nnode 12 should be visited before node22\nnode 12 should be visited before node6\nnode 13 should be visited before node2\nnode 13 should be visited before node18\nnode 13 should be visited before node21\nnode 14 should be visited before node6\nnode 15 should be visited before node25\nnode 15 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node14\nnode 15 should be visited before node21\nnode 17 should be visited before node21\nnode 18 should be visited before node10\nnode 18 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node16\nnode 19 should be visited before node23\nnode 20 should be visited before node3\nnode 20 should be visited before node15\nnode 20 should be visited before node25\nnode 20 should be visited before node27\nnode 20 should be visited before node19\nnode 20 should be visited before node17\nnode 20 should be visited before node10\nnode 21 should be visited before node23\nnode 21 should be visited before node6\nnode 22 should be visited before node23\nnode 24 should be visited before node26\nnode 24 should be visited before node25\nnode 24 should be visited before node2\nnode 24 should be visited before node27\nnode 24 should be visited before node1\nnode 24 should be visited before node21\nnode 25 should be visited before node19\nnode 25 should be visited before node18\nnode 25 should be visited before node17\nnode 25 should be visited before node10\nnode 25 should be visited before node21\nnode 25 should be visited before node6\nnode 26 should be visited before node15\nnode 26 should be visited before node19\nnode 26 should be visited before node17\nnode 26 should be visited before node1\nnode 26 should be visited before node10\nnode 26 should be visited before node6\nnode 27 should be visited before node7\nnode 27 should be visited before node0\nnode 27 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,8,20,24,9,12,3,26,13,27,15,2,0,25,1,7,11,19,17,14,18,16,21,10,6,22,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph390",
        "image": "data/topology/graph_visual/hard/graph390.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node5\nnode 1 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node28\nnode 1 should be visited before node26\nnode 1 should be visited before node12\nnode 1 should be visited before node15\nnode 1 should be visited before node17\nnode 1 should be visited before node23\nnode 1 should be visited before node16\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 2 should be visited before node22\nnode 2 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node6\nnode 3 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node18\nnode 3 should be visited before node23\nnode 3 should be visited before node5\nnode 3 should be visited before node24\nnode 3 should be visited before node22\nnode 3 should be visited before node16\nnode 5 should be visited before node13\nnode 6 should be visited before node28\nnode 6 should be visited before node2\nnode 6 should be visited before node8\nnode 6 should be visited before node4\nnode 6 should be visited before node27\nnode 6 should be visited before node24\nnode 7 should be visited before node27\nnode 7 should be visited before node24\nnode 7 should be visited before node22\nnode 8 should be visited before node17\nnode 8 should be visited before node0\nnode 8 should be visited before node13\nnode 8 should be visited before node22\nnode 9 should be visited before node6\nnode 9 should be visited before node21\nnode 9 should be visited before node28\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node5\nnode 9 should be visited before node24\nnode 10 should be visited before node5\nnode 10 should be visited before node13\nnode 10 should be visited before node27\nnode 11 should be visited before node9\nnode 11 should be visited before node21\nnode 11 should be visited before node12\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node27\nnode 11 should be visited before node22\nnode 11 should be visited before node16\nnode 12 should be visited before node15\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node4\nnode 12 should be visited before node27\nnode 13 should be visited before node27\nnode 13 should be visited before node22\nnode 14 should be visited before node26\nnode 14 should be visited before node7\nnode 14 should be visited before node8\nnode 14 should be visited before node18\nnode 14 should be visited before node23\nnode 14 should be visited before node5\nnode 14 should be visited before node24\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node5\nnode 15 should be visited before node24\nnode 15 should be visited before node16\nnode 17 should be visited before node10\nnode 17 should be visited before node13\nnode 17 should be visited before node27\nnode 18 should be visited before node17\nnode 18 should be visited before node0\nnode 18 should be visited before node27\nnode 18 should be visited before node16\nnode 19 should be visited before node9\nnode 19 should be visited before node28\nnode 19 should be visited before node2\nnode 19 should be visited before node12\nnode 19 should be visited before node20\nnode 19 should be visited before node15\nnode 19 should be visited before node25\nnode 19 should be visited before node0\nnode 19 should be visited before node5\nnode 19 should be visited before node13\nnode 19 should be visited before node22\nnode 20 should be visited before node23\nnode 20 should be visited before node4\nnode 21 should be visited before node28\nnode 21 should be visited before node26\nnode 21 should be visited before node25\nnode 21 should be visited before node18\nnode 21 should be visited before node23\nnode 23 should be visited before node13\nnode 23 should be visited before node27\nnode 24 should be visited before node16\nnode 25 should be visited before node5\nnode 25 should be visited before node24\nnode 26 should be visited before node4\nnode 26 should be visited before node16\nnode 28 should be visited before node25\nnode 28 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,3,14,19,11,20,9,12,6,21,15,2,8,28,26,18,23,7,25,4,17,0,24,10,16,5,13,27,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph937",
        "image": "data/topology/graph_visual/hard/graph937.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node14\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 2 should be visited before node19\nnode 2 should be visited before node18\nnode 2 should be visited before node23\nnode 2 should be visited before node8\nnode 2 should be visited before node27\nnode 2 should be visited before node24\nnode 2 should be visited before node17\nnode 2 should be visited before node14\nnode 3 should be visited before node31\nnode 3 should be visited before node29\nnode 3 should be visited before node4\nnode 3 should be visited before node2\nnode 3 should be visited before node19\nnode 3 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node27\nnode 3 should be visited before node28\nnode 3 should be visited before node16\nnode 4 should be visited before node19\nnode 4 should be visited before node18\nnode 4 should be visited before node22\nnode 4 should be visited before node28\nnode 4 should be visited before node30\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node14\nnode 5 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node13\nnode 6 should be visited before node18\nnode 6 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node16\nnode 6 should be visited before node25\nnode 6 should be visited before node1\nnode 6 should be visited before node24\nnode 6 should be visited before node17\nnode 6 should be visited before node0\nnode 6 should be visited before node14\nnode 7 should be visited before node27\nnode 7 should be visited before node28\nnode 7 should be visited before node26\nnode 7 should be visited before node25\nnode 7 should be visited before node5\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 8 should be visited before node28\nnode 8 should be visited before node16\nnode 8 should be visited before node30\nnode 8 should be visited before node25\nnode 8 should be visited before node5\nnode 8 should be visited before node0\nnode 8 should be visited before node14\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node20\nnode 9 should be visited before node23\nnode 9 should be visited before node15\nnode 9 should be visited before node7\nnode 9 should be visited before node30\nnode 9 should be visited before node1\nnode 9 should be visited before node24\nnode 9 should be visited before node17\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 10 should be visited before node11\nnode 10 should be visited before node3\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node13\nnode 10 should be visited before node18\nnode 10 should be visited before node22\nnode 10 should be visited before node15\nnode 10 should be visited before node7\nnode 10 should be visited before node27\nnode 10 should be visited before node16\nnode 10 should be visited before node30\nnode 10 should be visited before node17\nnode 11 should be visited before node31\nnode 11 should be visited before node9\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node19\nnode 11 should be visited before node18\nnode 11 should be visited before node22\nnode 11 should be visited before node15\nnode 11 should be visited before node7\nnode 11 should be visited before node26\nnode 11 should be visited before node25\nnode 11 should be visited before node24\nnode 11 should be visited before node0\nnode 11 should be visited before node14\nnode 12 should be visited before node32\nnode 12 should be visited before node21\nnode 12 should be visited before node29\nnode 12 should be visited before node4\nnode 12 should be visited before node19\nnode 12 should be visited before node13\nnode 12 should be visited before node22\nnode 12 should be visited before node20\nnode 12 should be visited before node23\nnode 12 should be visited before node15\nnode 12 should be visited before node8\nnode 12 should be visited before node27\nnode 12 should be visited before node16\nnode 12 should be visited before node26\nnode 12 should be visited before node30\nnode 12 should be visited before node25\nnode 12 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node0\nnode 13 should be visited before node15\nnode 13 should be visited before node8\nnode 13 should be visited before node27\nnode 13 should be visited before node30\nnode 13 should be visited before node25\nnode 13 should be visited before node24\nnode 13 should be visited before node5\nnode 13 should be visited before node0\nnode 13 should be visited before node14\nnode 15 should be visited before node28\nnode 15 should be visited before node16\nnode 15 should be visited before node30\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 16 should be visited before node30\nnode 16 should be visited before node25\nnode 16 should be visited before node1\nnode 16 should be visited before node17\nnode 17 should be visited before node5\nnode 17 should be visited before node0\nnode 18 should be visited before node20\nnode 18 should be visited before node23\nnode 18 should be visited before node7\nnode 18 should be visited before node28\nnode 18 should be visited before node16\nnode 18 should be visited before node26\nnode 18 should be visited before node30\nnode 18 should be visited before node0\nnode 19 should be visited before node18\nnode 19 should be visited before node22\nnode 19 should be visited before node20\nnode 19 should be visited before node23\nnode 19 should be visited before node15\nnode 19 should be visited before node27\nnode 19 should be visited before node28\nnode 19 should be visited before node30\nnode 19 should be visited before node1\nnode 19 should be visited before node5\nnode 20 should be visited before node27\nnode 20 should be visited before node16\nnode 20 should be visited before node26\nnode 20 should be visited before node1\nnode 20 should be visited before node17\nnode 20 should be visited before node5\nnode 20 should be visited before node0\nnode 21 should be visited before node29\nnode 21 should be visited before node2\nnode 21 should be visited before node19\nnode 21 should be visited before node13\nnode 21 should be visited before node20\nnode 21 should be visited before node7\nnode 21 should be visited before node27\nnode 21 should be visited before node28\nnode 21 should be visited before node16\nnode 21 should be visited before node25\nnode 21 should be visited before node24\nnode 21 should be visited before node5\nnode 21 should be visited before node14\nnode 22 should be visited before node20\nnode 22 should be visited before node23\nnode 22 should be visited before node15\nnode 22 should be visited before node28\nnode 22 should be visited before node16\nnode 22 should be visited before node30\nnode 22 should be visited before node24\nnode 22 should be visited before node0\nnode 22 should be visited before node14\nnode 23 should be visited before node8\nnode 23 should be visited before node7\nnode 23 should be visited before node27\nnode 23 should be visited before node28\nnode 23 should be visited before node26\nnode 23 should be visited before node30\nnode 23 should be visited before node24\nnode 23 should be visited before node0\nnode 23 should be visited before node14\nnode 24 should be visited before node17\nnode 24 should be visited before node0\nnode 24 should be visited before node14\nnode 25 should be visited before node1\nnode 25 should be visited before node14\nnode 26 should be visited before node30\nnode 26 should be visited before node25\nnode 26 should be visited before node24\nnode 26 should be visited before node17\nnode 26 should be visited before node5\nnode 26 should be visited before node0\nnode 26 should be visited before node14\nnode 27 should be visited before node28\nnode 27 should be visited before node16\nnode 27 should be visited before node30\nnode 27 should be visited before node1\nnode 27 should be visited before node24\nnode 27 should be visited before node17\nnode 27 should be visited before node5\nnode 27 should be visited before node0\nnode 27 should be visited before node14\nnode 28 should be visited before node16\nnode 28 should be visited before node25\nnode 28 should be visited before node1\nnode 28 should be visited before node17\nnode 28 should be visited before node5\nnode 28 should be visited before node0\nnode 29 should be visited before node6\nnode 29 should be visited before node4\nnode 29 should be visited before node2\nnode 29 should be visited before node19\nnode 29 should be visited before node23\nnode 29 should be visited before node7\nnode 29 should be visited before node28\nnode 29 should be visited before node16\nnode 29 should be visited before node30\nnode 29 should be visited before node25\nnode 29 should be visited before node1\nnode 29 should be visited before node24\nnode 29 should be visited before node17\nnode 30 should be visited before node25\nnode 30 should be visited before node24\nnode 30 should be visited before node0\nnode 30 should be visited before node14\nnode 31 should be visited before node29\nnode 31 should be visited before node4\nnode 31 should be visited before node13\nnode 31 should be visited before node20\nnode 31 should be visited before node15\nnode 31 should be visited before node8\nnode 31 should be visited before node27\nnode 31 should be visited before node28\nnode 31 should be visited before node30\nnode 31 should be visited before node25\nnode 31 should be visited before node24\nnode 31 should be visited before node0\nnode 32 should be visited before node3\nnode 32 should be visited before node31\nnode 32 should be visited before node21\nnode 32 should be visited before node9\nnode 32 should be visited before node29\nnode 32 should be visited before node6\nnode 32 should be visited before node13\nnode 32 should be visited before node22\nnode 32 should be visited before node23\nnode 32 should be visited before node8\nnode 32 should be visited before node28\nnode 32 should be visited before node16\nnode 32 should be visited before node25\nnode 32 should be visited before node1\nnode 32 should be visited before node5\nnode 32 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,12,11,32,3,21,9,31,29,6,4,2,13,19,18,22,20,23,15,8,7,27,26,28,16,30,25,24,1,17,5,0,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph733",
        "image": "data/topology/graph_visual/hard/graph733.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 2 should be visited before node4\nnode 3 should be visited before node1\nnode 4 should be visited before node6\nnode 5 should be visited before node21\nnode 5 should be visited before node19\nnode 5 should be visited before node3\nnode 5 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node18\nnode 7 should be visited before node28\nnode 7 should be visited before node10\nnode 7 should be visited before node4\nnode 7 should be visited before node6\nnode 8 should be visited before node23\nnode 8 should be visited before node22\nnode 8 should be visited before node29\nnode 8 should be visited before node14\nnode 8 should be visited before node19\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 9 should be visited before node11\nnode 9 should be visited before node16\nnode 9 should be visited before node28\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node23\nnode 9 should be visited before node24\nnode 9 should be visited before node29\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node6\nnode 10 should be visited before node13\nnode 10 should be visited before node17\nnode 11 should be visited before node16\nnode 11 should be visited before node8\nnode 11 should be visited before node24\nnode 11 should be visited before node5\nnode 11 should be visited before node19\nnode 11 should be visited before node10\nnode 11 should be visited before node13\nnode 11 should be visited before node20\nnode 11 should be visited before node1\nnode 11 should be visited before node6\nnode 12 should be visited before node23\nnode 12 should be visited before node24\nnode 12 should be visited before node29\nnode 12 should be visited before node19\nnode 12 should be visited before node3\nnode 12 should be visited before node4\nnode 12 should be visited before node1\nnode 13 should be visited before node4\nnode 13 should be visited before node1\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node13\nnode 14 should be visited before node4\nnode 14 should be visited before node1\nnode 14 should be visited before node6\nnode 15 should be visited before node23\nnode 15 should be visited before node24\nnode 15 should be visited before node22\nnode 15 should be visited before node5\nnode 15 should be visited before node14\nnode 15 should be visited before node10\nnode 15 should be visited before node20\nnode 15 should be visited before node17\nnode 15 should be visited before node1\nnode 15 should be visited before node6\nnode 16 should be visited before node28\nnode 16 should be visited before node15\nnode 16 should be visited before node12\nnode 16 should be visited before node29\nnode 16 should be visited before node14\nnode 16 should be visited before node10\nnode 16 should be visited before node3\nnode 16 should be visited before node0\nnode 16 should be visited before node20\nnode 16 should be visited before node17\nnode 16 should be visited before node4\nnode 17 should be visited before node2\nnode 18 should be visited before node15\nnode 18 should be visited before node24\nnode 18 should be visited before node22\nnode 18 should be visited before node5\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 18 should be visited before node17\nnode 18 should be visited before node2\nnode 19 should be visited before node10\nnode 19 should be visited before node3\nnode 19 should be visited before node13\nnode 19 should be visited before node4\nnode 19 should be visited before node6\nnode 20 should be visited before node1\nnode 21 should be visited before node2\nnode 21 should be visited before node4\nnode 22 should be visited before node20\nnode 23 should be visited before node5\nnode 23 should be visited before node21\nnode 23 should be visited before node14\nnode 23 should be visited before node19\nnode 23 should be visited before node10\nnode 23 should be visited before node3\nnode 23 should be visited before node13\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 24 should be visited before node3\nnode 24 should be visited before node0\nnode 24 should be visited before node6\nnode 25 should be visited before node31\nnode 25 should be visited before node27\nnode 25 should be visited before node11\nnode 25 should be visited before node16\nnode 25 should be visited before node29\nnode 25 should be visited before node5\nnode 25 should be visited before node3\nnode 25 should be visited before node20\nnode 25 should be visited before node2\nnode 25 should be visited before node6\nnode 26 should be visited before node27\nnode 26 should be visited before node9\nnode 26 should be visited before node16\nnode 26 should be visited before node12\nnode 26 should be visited before node8\nnode 26 should be visited before node23\nnode 26 should be visited before node24\nnode 26 should be visited before node21\nnode 26 should be visited before node19\nnode 26 should be visited before node0\nnode 26 should be visited before node13\nnode 26 should be visited before node17\nnode 26 should be visited before node4\nnode 27 should be visited before node11\nnode 27 should be visited before node15\nnode 27 should be visited before node10\nnode 27 should be visited before node3\nnode 27 should be visited before node20\nnode 27 should be visited before node2\nnode 27 should be visited before node6\nnode 28 should be visited before node12\nnode 28 should be visited before node8\nnode 28 should be visited before node24\nnode 28 should be visited before node5\nnode 28 should be visited before node19\nnode 28 should be visited before node3\nnode 28 should be visited before node0\nnode 28 should be visited before node13\nnode 28 should be visited before node6\nnode 29 should be visited before node21\nnode 29 should be visited before node14\nnode 29 should be visited before node19\nnode 29 should be visited before node0\nnode 29 should be visited before node20\nnode 29 should be visited before node6\nnode 30 should be visited before node27\nnode 30 should be visited before node9\nnode 30 should be visited before node18\nnode 30 should be visited before node16\nnode 30 should be visited before node15\nnode 30 should be visited before node12\nnode 30 should be visited before node29\nnode 30 should be visited before node21\nnode 30 should be visited before node14\nnode 30 should be visited before node20\nnode 30 should be visited before node6\nnode 31 should be visited before node26\nnode 31 should be visited before node16\nnode 31 should be visited before node24\nnode 31 should be visited before node19\nnode 31 should be visited before node10\nnode 31 should be visited before node3\nnode 31 should be visited before node20\nnode 31 should be visited before node17\nnode 31 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,25,30,31,18,26,27,9,11,16,28,15,12,8,24,23,22,29,5,14,0,21,19,20,10,3,13,17,1,2,4,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph696",
        "image": "data/topology/graph_visual/hard/graph696.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node25\nnode 0 should be visited before node3\nnode 0 should be visited before node8\nnode 0 should be visited before node27\nnode 0 should be visited before node10\nnode 0 should be visited before node14\nnode 0 should be visited before node30\nnode 0 should be visited before node1\nnode 0 should be visited before node23\nnode 0 should be visited before node11\nnode 0 should be visited before node7\nnode 0 should be visited before node22\nnode 0 should be visited before node24\nnode 0 should be visited before node9\nnode 0 should be visited before node6\nnode 1 should be visited before node23\nnode 1 should be visited before node13\nnode 1 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node29\nnode 2 should be visited before node3\nnode 2 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node27\nnode 2 should be visited before node10\nnode 2 should be visited before node30\nnode 2 should be visited before node16\nnode 2 should be visited before node23\nnode 2 should be visited before node19\nnode 2 should be visited before node7\nnode 2 should be visited before node22\nnode 2 should be visited before node24\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 3 should be visited before node17\nnode 3 should be visited before node26\nnode 3 should be visited before node10\nnode 3 should be visited before node14\nnode 3 should be visited before node30\nnode 3 should be visited before node16\nnode 3 should be visited before node1\nnode 3 should be visited before node11\nnode 3 should be visited before node19\nnode 3 should be visited before node21\nnode 3 should be visited before node13\nnode 3 should be visited before node22\nnode 3 should be visited before node24\nnode 3 should be visited before node12\nnode 3 should be visited before node9\nnode 3 should be visited before node6\nnode 5 should be visited before node29\nnode 5 should be visited before node3\nnode 5 should be visited before node15\nnode 5 should be visited before node26\nnode 5 should be visited before node10\nnode 5 should be visited before node30\nnode 5 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node19\nnode 5 should be visited before node13\nnode 5 should be visited before node22\nnode 5 should be visited before node18\nnode 7 should be visited before node22\nnode 7 should be visited before node18\nnode 7 should be visited before node24\nnode 7 should be visited before node12\nnode 7 should be visited before node9\nnode 8 should be visited before node15\nnode 8 should be visited before node17\nnode 8 should be visited before node30\nnode 8 should be visited before node16\nnode 8 should be visited before node1\nnode 8 should be visited before node23\nnode 8 should be visited before node19\nnode 8 should be visited before node7\nnode 8 should be visited before node22\nnode 8 should be visited before node18\nnode 8 should be visited before node24\nnode 8 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node16\nnode 10 should be visited before node1\nnode 10 should be visited before node23\nnode 10 should be visited before node19\nnode 10 should be visited before node13\nnode 10 should be visited before node22\nnode 10 should be visited before node18\nnode 10 should be visited before node24\nnode 10 should be visited before node4\nnode 10 should be visited before node12\nnode 11 should be visited before node19\nnode 11 should be visited before node13\nnode 11 should be visited before node22\nnode 11 should be visited before node9\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 13 should be visited before node22\nnode 13 should be visited before node24\nnode 13 should be visited before node9\nnode 13 should be visited before node6\nnode 14 should be visited before node30\nnode 14 should be visited before node16\nnode 14 should be visited before node23\nnode 14 should be visited before node11\nnode 14 should be visited before node19\nnode 14 should be visited before node7\nnode 14 should be visited before node18\nnode 14 should be visited before node24\nnode 14 should be visited before node12\nnode 14 should be visited before node9\nnode 15 should be visited before node26\nnode 15 should be visited before node30\nnode 15 should be visited before node16\nnode 15 should be visited before node19\nnode 15 should be visited before node21\nnode 15 should be visited before node22\nnode 15 should be visited before node18\nnode 15 should be visited before node24\nnode 15 should be visited before node4\nnode 15 should be visited before node12\nnode 15 should be visited before node6\nnode 16 should be visited before node1\nnode 16 should be visited before node23\nnode 16 should be visited before node19\nnode 16 should be visited before node7\nnode 16 should be visited before node22\nnode 16 should be visited before node18\nnode 16 should be visited before node24\nnode 16 should be visited before node4\nnode 16 should be visited before node6\nnode 17 should be visited before node27\nnode 17 should be visited before node30\nnode 17 should be visited before node16\nnode 17 should be visited before node23\nnode 17 should be visited before node19\nnode 17 should be visited before node18\nnode 17 should be visited before node12\nnode 17 should be visited before node9\nnode 18 should be visited before node24\nnode 18 should be visited before node9\nnode 18 should be visited before node6\nnode 19 should be visited before node21\nnode 19 should be visited before node13\nnode 19 should be visited before node22\nnode 19 should be visited before node24\nnode 20 should be visited before node0\nnode 20 should be visited before node15\nnode 20 should be visited before node10\nnode 20 should be visited before node16\nnode 20 should be visited before node23\nnode 20 should be visited before node11\nnode 20 should be visited before node21\nnode 20 should be visited before node18\nnode 20 should be visited before node24\nnode 20 should be visited before node12\nnode 20 should be visited before node9\nnode 20 should be visited before node6\nnode 21 should be visited before node22\nnode 21 should be visited before node18\nnode 21 should be visited before node24\nnode 21 should be visited before node12\nnode 22 should be visited before node18\nnode 22 should be visited before node12\nnode 22 should be visited before node9\nnode 23 should be visited before node19\nnode 23 should be visited before node7\nnode 23 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node4\nnode 24 should be visited before node4\nnode 24 should be visited before node12\nnode 24 should be visited before node6\nnode 25 should be visited before node17\nnode 25 should be visited before node26\nnode 25 should be visited before node14\nnode 25 should be visited before node30\nnode 25 should be visited before node1\nnode 25 should be visited before node23\nnode 25 should be visited before node11\nnode 25 should be visited before node19\nnode 25 should be visited before node7\nnode 25 should be visited before node21\nnode 25 should be visited before node13\nnode 25 should be visited before node18\nnode 25 should be visited before node24\nnode 25 should be visited before node12\nnode 25 should be visited before node9\nnode 26 should be visited before node10\nnode 26 should be visited before node14\nnode 26 should be visited before node30\nnode 26 should be visited before node16\nnode 26 should be visited before node1\nnode 26 should be visited before node11\nnode 26 should be visited before node19\nnode 26 should be visited before node7\nnode 26 should be visited before node21\nnode 26 should be visited before node22\nnode 26 should be visited before node18\nnode 26 should be visited before node24\nnode 26 should be visited before node12\nnode 26 should be visited before node6\nnode 27 should be visited before node10\nnode 27 should be visited before node14\nnode 27 should be visited before node16\nnode 27 should be visited before node11\nnode 27 should be visited before node19\nnode 27 should be visited before node7\nnode 27 should be visited before node13\nnode 27 should be visited before node22\nnode 27 should be visited before node18\nnode 27 should be visited before node4\nnode 27 should be visited before node6\nnode 28 should be visited before node20\nnode 28 should be visited before node3\nnode 28 should be visited before node8\nnode 28 should be visited before node27\nnode 28 should be visited before node10\nnode 28 should be visited before node23\nnode 28 should be visited before node19\nnode 28 should be visited before node7\nnode 28 should be visited before node21\nnode 28 should be visited before node12\nnode 28 should be visited before node6\nnode 29 should be visited before node8\nnode 29 should be visited before node15\nnode 29 should be visited before node17\nnode 29 should be visited before node26\nnode 29 should be visited before node10\nnode 29 should be visited before node1\nnode 29 should be visited before node23\nnode 29 should be visited before node11\nnode 29 should be visited before node19\nnode 29 should be visited before node21\nnode 29 should be visited before node13\nnode 29 should be visited before node22\nnode 29 should be visited before node18\nnode 30 should be visited before node22\nnode 30 should be visited before node24\nnode 30 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,28,29,20,0,25,3,8,15,17,26,27,10,14,30,16,11,1,23,19,7,21,13,22,18,24,4,12,9,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph778",
        "image": "data/topology/graph_visual/hard/graph778.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node2\nnode 0 should be visited before node29\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 0 should be visited before node30\nnode 0 should be visited before node25\nnode 0 should be visited before node7\nnode 1 should be visited before node15\nnode 1 should be visited before node22\nnode 2 should be visited before node20\nnode 2 should be visited before node29\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node18\nnode 2 should be visited before node7\nnode 3 should be visited before node5\nnode 3 should be visited before node18\nnode 3 should be visited before node16\nnode 3 should be visited before node15\nnode 3 should be visited before node22\nnode 3 should be visited before node31\nnode 4 should be visited before node21\nnode 4 should be visited before node29\nnode 4 should be visited before node3\nnode 4 should be visited before node5\nnode 4 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 4 should be visited before node15\nnode 4 should be visited before node25\nnode 4 should be visited before node31\nnode 5 should be visited before node6\nnode 5 should be visited before node16\nnode 5 should be visited before node24\nnode 5 should be visited before node15\nnode 5 should be visited before node25\nnode 5 should be visited before node19\nnode 5 should be visited before node31\nnode 6 should be visited before node16\nnode 6 should be visited before node25\nnode 6 should be visited before node19\nnode 6 should be visited before node31\nnode 8 should be visited before node14\nnode 8 should be visited before node29\nnode 8 should be visited before node5\nnode 8 should be visited before node18\nnode 8 should be visited before node30\nnode 8 should be visited before node15\nnode 8 should be visited before node22\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node24\nnode 9 should be visited before node22\nnode 10 should be visited before node27\nnode 10 should be visited before node2\nnode 10 should be visited before node13\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node31\nnode 11 should be visited before node13\nnode 11 should be visited before node18\nnode 11 should be visited before node16\nnode 11 should be visited before node19\nnode 11 should be visited before node31\nnode 12 should be visited before node27\nnode 12 should be visited before node14\nnode 12 should be visited before node11\nnode 12 should be visited before node5\nnode 12 should be visited before node16\nnode 13 should be visited before node5\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node22\nnode 13 should be visited before node25\nnode 13 should be visited before node7\nnode 13 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node0\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node1\nnode 14 should be visited before node18\nnode 14 should be visited before node16\nnode 14 should be visited before node24\nnode 14 should be visited before node30\nnode 14 should be visited before node19\nnode 16 should be visited before node19\nnode 16 should be visited before node31\nnode 17 should be visited before node0\nnode 17 should be visited before node29\nnode 17 should be visited before node13\nnode 17 should be visited before node16\nnode 17 should be visited before node15\nnode 17 should be visited before node22\nnode 18 should be visited before node15\nnode 18 should be visited before node25\nnode 19 should be visited before node31\nnode 20 should be visited before node5\nnode 20 should be visited before node25\nnode 20 should be visited before node7\nnode 20 should be visited before node31\nnode 21 should be visited before node2\nnode 21 should be visited before node5\nnode 21 should be visited before node18\nnode 21 should be visited before node15\nnode 21 should be visited before node7\nnode 21 should be visited before node31\nnode 22 should be visited before node19\nnode 22 should be visited before node31\nnode 23 should be visited before node12\nnode 23 should be visited before node27\nnode 23 should be visited before node14\nnode 23 should be visited before node11\nnode 23 should be visited before node0\nnode 23 should be visited before node13\nnode 23 should be visited before node22\nnode 24 should be visited before node15\nnode 24 should be visited before node7\nnode 24 should be visited before node19\nnode 24 should be visited before node31\nnode 26 should be visited before node23\nnode 26 should be visited before node17\nnode 26 should be visited before node14\nnode 26 should be visited before node4\nnode 26 should be visited before node2\nnode 26 should be visited before node29\nnode 26 should be visited before node13\nnode 26 should be visited before node30\nnode 26 should be visited before node7\nnode 27 should be visited before node11\nnode 27 should be visited before node4\nnode 27 should be visited before node21\nnode 27 should be visited before node0\nnode 27 should be visited before node20\nnode 27 should be visited before node29\nnode 27 should be visited before node5\nnode 27 should be visited before node16\nnode 27 should be visited before node30\nnode 27 should be visited before node15\nnode 28 should be visited before node27\nnode 28 should be visited before node4\nnode 28 should be visited before node21\nnode 28 should be visited before node13\nnode 28 should be visited before node9\nnode 28 should be visited before node6\nnode 28 should be visited before node16\nnode 28 should be visited before node24\nnode 28 should be visited before node25\nnode 29 should be visited before node9\nnode 29 should be visited before node18\nnode 29 should be visited before node30\nnode 29 should be visited before node25\nnode 29 should be visited before node19\nnode 30 should be visited before node25\nnode 30 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,10,26,28,23,17,12,27,14,11,4,0,21,3,1,2,20,29,13,9,30,18,5,22,6,24,16,25,15,7,19,31."
            }
        ]
    },
    {
        "id": "topology-hard-graph993",
        "image": "data/topology/graph_visual/hard/graph993.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node19\nnode 0 should be visited before node26\nnode 0 should be visited before node21\nnode 1 should be visited before node28\nnode 1 should be visited before node20\nnode 1 should be visited before node29\nnode 1 should be visited before node26\nnode 1 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node17\nnode 2 should be visited before node30\nnode 2 should be visited before node33\nnode 2 should be visited before node4\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node1\nnode 2 should be visited before node20\nnode 2 should be visited before node29\nnode 2 should be visited before node26\nnode 2 should be visited before node31\nnode 3 should be visited before node31\nnode 4 should be visited before node32\nnode 4 should be visited before node25\nnode 4 should be visited before node14\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 4 should be visited before node29\nnode 4 should be visited before node19\nnode 4 should be visited before node26\nnode 4 should be visited before node18\nnode 4 should be visited before node8\nnode 4 should be visited before node31\nnode 5 should be visited before node33\nnode 5 should be visited before node12\nnode 5 should be visited before node1\nnode 5 should be visited before node28\nnode 5 should be visited before node27\nnode 5 should be visited before node17\nnode 6 should be visited before node5\nnode 6 should be visited before node4\nnode 6 should be visited before node25\nnode 6 should be visited before node13\nnode 6 should be visited before node28\nnode 6 should be visited before node29\nnode 6 should be visited before node26\nnode 6 should be visited before node31\nnode 7 should be visited before node30\nnode 7 should be visited before node25\nnode 7 should be visited before node15\nnode 7 should be visited before node14\nnode 7 should be visited before node19\nnode 7 should be visited before node17\nnode 8 should be visited before node21\nnode 8 should be visited before node31\nnode 9 should be visited before node10\nnode 9 should be visited before node27\nnode 9 should be visited before node0\nnode 10 should be visited before node12\nnode 10 should be visited before node26\nnode 10 should be visited before node3\nnode 11 should be visited before node22\nnode 11 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node15\nnode 11 should be visited before node28\nnode 11 should be visited before node27\nnode 11 should be visited before node19\nnode 11 should be visited before node26\nnode 11 should be visited before node18\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node17\nnode 11 should be visited before node31\nnode 12 should be visited before node1\nnode 12 should be visited before node29\nnode 12 should be visited before node0\nnode 12 should be visited before node26\nnode 12 should be visited before node18\nnode 12 should be visited before node8\nnode 12 should be visited before node21\nnode 13 should be visited before node10\nnode 13 should be visited before node27\nnode 13 should be visited before node19\nnode 13 should be visited before node3\nnode 13 should be visited before node17\nnode 13 should be visited before node31\nnode 14 should be visited before node13\nnode 14 should be visited before node19\nnode 14 should be visited before node3\nnode 14 should be visited before node21\nnode 14 should be visited before node17\nnode 14 should be visited before node31\nnode 15 should be visited before node13\nnode 15 should be visited before node10\nnode 15 should be visited before node29\nnode 15 should be visited before node0\nnode 16 should be visited before node6\nnode 16 should be visited before node5\nnode 16 should be visited before node4\nnode 16 should be visited before node25\nnode 16 should be visited before node24\nnode 16 should be visited before node9\nnode 16 should be visited before node14\nnode 16 should be visited before node13\nnode 16 should be visited before node29\nnode 16 should be visited before node27\nnode 16 should be visited before node26\nnode 19 should be visited before node8\nnode 19 should be visited before node17\nnode 20 should be visited before node27\nnode 20 should be visited before node0\nnode 20 should be visited before node19\nnode 20 should be visited before node26\nnode 20 should be visited before node3\nnode 20 should be visited before node17\nnode 21 should be visited before node17\nnode 22 should be visited before node25\nnode 22 should be visited before node15\nnode 22 should be visited before node24\nnode 22 should be visited before node20\nnode 22 should be visited before node29\nnode 22 should be visited before node18\nnode 22 should be visited before node8\nnode 22 should be visited before node17\nnode 23 should be visited before node30\nnode 23 should be visited before node32\nnode 23 should be visited before node15\nnode 23 should be visited before node10\nnode 23 should be visited before node29\nnode 23 should be visited before node0\nnode 23 should be visited before node19\nnode 23 should be visited before node21\nnode 23 should be visited before node17\nnode 24 should be visited before node28\nnode 24 should be visited before node29\nnode 24 should be visited before node26\nnode 24 should be visited before node18\nnode 24 should be visited before node31\nnode 25 should be visited before node24\nnode 25 should be visited before node13\nnode 25 should be visited before node28\nnode 25 should be visited before node20\nnode 25 should be visited before node18\nnode 25 should be visited before node21\nnode 25 should be visited before node17\nnode 25 should be visited before node31\nnode 26 should be visited before node8\nnode 26 should be visited before node31\nnode 27 should be visited before node17\nnode 27 should be visited before node31\nnode 28 should be visited before node27\nnode 28 should be visited before node8\nnode 29 should be visited before node3\nnode 29 should be visited before node8\nnode 29 should be visited before node21\nnode 29 should be visited before node31\nnode 30 should be visited before node33\nnode 30 should be visited before node4\nnode 30 should be visited before node1\nnode 30 should be visited before node29\nnode 30 should be visited before node19\nnode 30 should be visited before node26\nnode 30 should be visited before node8\nnode 32 should be visited before node15\nnode 32 should be visited before node13\nnode 32 should be visited before node28\nnode 32 should be visited before node18\nnode 32 should be visited before node3\nnode 32 should be visited before node17\nnode 33 should be visited before node25\nnode 33 should be visited before node15\nnode 33 should be visited before node14\nnode 33 should be visited before node13\nnode 33 should be visited before node28\nnode 33 should be visited before node18\nnode 33 should be visited before node8\nnode 33 should be visited before node17\nnode 33 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,11,16,23,22,2,6,30,9,5,4,33,32,25,14,15,24,13,10,12,1,28,20,29,18,27,0,3,19,26,8,21,31,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph647",
        "image": "data/topology/graph_visual/hard/graph647.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node28\nnode 0 should be visited before node24\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 0 should be visited before node22\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 0 should be visited before node21\nnode 0 should be visited before node14\nnode 0 should be visited before node5\nnode 1 should be visited before node7\nnode 1 should be visited before node9\nnode 1 should be visited before node27\nnode 1 should be visited before node13\nnode 1 should be visited before node14\nnode 1 should be visited before node23\nnode 1 should be visited before node25\nnode 2 should be visited before node21\nnode 2 should be visited before node13\nnode 2 should be visited before node23\nnode 3 should be visited before node30\nnode 3 should be visited before node26\nnode 3 should be visited before node22\nnode 3 should be visited before node16\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 4 should be visited before node21\nnode 4 should be visited before node23\nnode 4 should be visited before node5\nnode 6 should be visited before node12\nnode 6 should be visited before node0\nnode 6 should be visited before node18\nnode 6 should be visited before node10\nnode 6 should be visited before node4\nnode 7 should be visited before node27\nnode 7 should be visited before node2\nnode 7 should be visited before node17\nnode 7 should be visited before node25\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node9\nnode 8 should be visited before node16\nnode 8 should be visited before node27\nnode 8 should be visited before node21\nnode 8 should be visited before node14\nnode 8 should be visited before node25\nnode 10 should be visited before node1\nnode 10 should be visited before node11\nnode 10 should be visited before node27\nnode 10 should be visited before node19\nnode 10 should be visited before node25\nnode 11 should be visited before node19\nnode 11 should be visited before node14\nnode 11 should be visited before node25\nnode 12 should be visited before node0\nnode 12 should be visited before node20\nnode 12 should be visited before node28\nnode 12 should be visited before node24\nnode 12 should be visited before node26\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node5\nnode 13 should be visited before node23\nnode 13 should be visited before node5\nnode 14 should be visited before node23\nnode 14 should be visited before node5\nnode 15 should be visited before node6\nnode 15 should be visited before node12\nnode 15 should be visited before node26\nnode 15 should be visited before node27\nnode 15 should be visited before node4\nnode 15 should be visited before node2\nnode 15 should be visited before node21\nnode 15 should be visited before node14\nnode 16 should be visited before node2\nnode 16 should be visited before node17\nnode 17 should be visited before node13\nnode 18 should be visited before node24\nnode 18 should be visited before node7\nnode 18 should be visited before node22\nnode 18 should be visited before node11\nnode 18 should be visited before node16\nnode 18 should be visited before node27\nnode 18 should be visited before node2\nnode 18 should be visited before node17\nnode 18 should be visited before node25\nnode 20 should be visited before node8\nnode 20 should be visited before node18\nnode 20 should be visited before node24\nnode 20 should be visited before node11\nnode 20 should be visited before node16\nnode 20 should be visited before node27\nnode 20 should be visited before node19\nnode 20 should be visited before node13\nnode 20 should be visited before node23\nnode 21 should be visited before node13\nnode 22 should be visited before node16\nnode 22 should be visited before node2\nnode 22 should be visited before node14\nnode 22 should be visited before node23\nnode 23 should be visited before node25\nnode 24 should be visited before node26\nnode 24 should be visited before node9\nnode 24 should be visited before node16\nnode 24 should be visited before node4\nnode 24 should be visited before node21\nnode 24 should be visited before node17\nnode 24 should be visited before node19\nnode 24 should be visited before node23\nnode 24 should be visited before node5\nnode 26 should be visited before node10\nnode 26 should be visited before node7\nnode 26 should be visited before node9\nnode 26 should be visited before node11\nnode 26 should be visited before node27\nnode 26 should be visited before node2\nnode 26 should be visited before node25\nnode 27 should be visited before node17\nnode 27 should be visited before node13\nnode 27 should be visited before node14\nnode 27 should be visited before node25\nnode 27 should be visited before node5\nnode 28 should be visited before node26\nnode 28 should be visited before node7\nnode 28 should be visited before node4\nnode 28 should be visited before node2\nnode 28 should be visited before node13\nnode 29 should be visited before node12\nnode 29 should be visited before node0\nnode 29 should be visited before node20\nnode 29 should be visited before node18\nnode 29 should be visited before node10\nnode 29 should be visited before node7\nnode 29 should be visited before node27\nnode 29 should be visited before node21\nnode 29 should be visited before node19\nnode 29 should be visited before node13\nnode 30 should be visited before node28\nnode 30 should be visited before node18\nnode 30 should be visited before node24\nnode 30 should be visited before node26\nnode 30 should be visited before node1\nnode 30 should be visited before node9\nnode 30 should be visited before node11\nnode 30 should be visited before node16\nnode 30 should be visited before node4\nnode 30 should be visited before node21\nnode 30 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,15,29,30,6,12,0,20,28,8,18,24,22,26,4,16,10,1,11,7,9,19,27,2,17,14,21,13,23,5,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph818",
        "image": "data/topology/graph_visual/hard/graph818.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node6\nnode 0 should be visited before node31\nnode 0 should be visited before node10\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node0\nnode 1 should be visited before node6\nnode 1 should be visited before node27\nnode 1 should be visited before node24\nnode 1 should be visited before node31\nnode 1 should be visited before node13\nnode 2 should be visited before node26\nnode 2 should be visited before node28\nnode 2 should be visited before node21\nnode 2 should be visited before node30\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 2 should be visited before node20\nnode 2 should be visited before node12\nnode 2 should be visited before node6\nnode 2 should be visited before node22\nnode 2 should be visited before node13\nnode 3 should be visited before node1\nnode 3 should be visited before node20\nnode 3 should be visited before node12\nnode 3 should be visited before node8\nnode 3 should be visited before node0\nnode 3 should be visited before node27\nnode 3 should be visited before node24\nnode 3 should be visited before node22\nnode 3 should be visited before node31\nnode 3 should be visited before node13\nnode 3 should be visited before node10\nnode 4 should be visited before node7\nnode 4 should be visited before node26\nnode 4 should be visited before node21\nnode 4 should be visited before node30\nnode 4 should be visited before node14\nnode 4 should be visited before node20\nnode 4 should be visited before node8\nnode 4 should be visited before node24\nnode 4 should be visited before node22\nnode 4 should be visited before node31\nnode 4 should be visited before node13\nnode 4 should be visited before node10\nnode 5 should be visited before node17\nnode 5 should be visited before node4\nnode 5 should be visited before node19\nnode 5 should be visited before node21\nnode 5 should be visited before node3\nnode 5 should be visited before node25\nnode 5 should be visited before node24\nnode 5 should be visited before node22\nnode 5 should be visited before node31\nnode 5 should be visited before node13\nnode 5 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node22\nnode 6 should be visited before node31\nnode 6 should be visited before node13\nnode 7 should be visited before node2\nnode 7 should be visited before node26\nnode 7 should be visited before node19\nnode 7 should be visited before node28\nnode 7 should be visited before node30\nnode 7 should be visited before node18\nnode 7 should be visited before node20\nnode 7 should be visited before node12\nnode 7 should be visited before node27\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node27\nnode 8 should be visited before node9\nnode 8 should be visited before node24\nnode 8 should be visited before node22\nnode 8 should be visited before node10\nnode 9 should be visited before node24\nnode 9 should be visited before node22\nnode 9 should be visited before node31\nnode 9 should be visited before node13\nnode 9 should be visited before node10\nnode 11 should be visited before node5\nnode 11 should be visited before node15\nnode 11 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node25\nnode 11 should be visited before node12\nnode 11 should be visited before node6\nnode 11 should be visited before node27\nnode 11 should be visited before node22\nnode 11 should be visited before node31\nnode 11 should be visited before node13\nnode 11 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node24\nnode 14 should be visited before node1\nnode 14 should be visited before node20\nnode 14 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node6\nnode 14 should be visited before node9\nnode 14 should be visited before node22\nnode 15 should be visited before node26\nnode 15 should be visited before node19\nnode 15 should be visited before node30\nnode 15 should be visited before node25\nnode 15 should be visited before node8\nnode 15 should be visited before node6\nnode 15 should be visited before node27\nnode 15 should be visited before node9\nnode 15 should be visited before node31\nnode 15 should be visited before node13\nnode 15 should be visited before node10\nnode 16 should be visited before node26\nnode 16 should be visited before node19\nnode 16 should be visited before node21\nnode 16 should be visited before node30\nnode 16 should be visited before node1\nnode 16 should be visited before node20\nnode 16 should be visited before node8\nnode 16 should be visited before node0\nnode 16 should be visited before node24\nnode 17 should be visited before node7\nnode 17 should be visited before node16\nnode 17 should be visited before node26\nnode 17 should be visited before node19\nnode 17 should be visited before node18\nnode 17 should be visited before node14\nnode 17 should be visited before node1\nnode 17 should be visited before node12\nnode 17 should be visited before node8\nnode 17 should be visited before node0\nnode 17 should be visited before node27\nnode 17 should be visited before node9\nnode 17 should be visited before node31\nnode 18 should be visited before node1\nnode 18 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node6\nnode 18 should be visited before node31\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 19 should be visited before node28\nnode 19 should be visited before node21\nnode 19 should be visited before node18\nnode 19 should be visited before node3\nnode 19 should be visited before node20\nnode 19 should be visited before node25\nnode 19 should be visited before node27\nnode 19 should be visited before node24\nnode 19 should be visited before node10\nnode 20 should be visited before node25\nnode 20 should be visited before node6\nnode 20 should be visited before node24\nnode 20 should be visited before node22\nnode 20 should be visited before node13\nnode 20 should be visited before node10\nnode 21 should be visited before node30\nnode 21 should be visited before node0\nnode 21 should be visited before node27\nnode 21 should be visited before node24\nnode 21 should be visited before node22\nnode 21 should be visited before node31\nnode 21 should be visited before node10\nnode 22 should be visited before node13\nnode 23 should be visited before node11\nnode 23 should be visited before node7\nnode 23 should be visited before node16\nnode 23 should be visited before node2\nnode 23 should be visited before node19\nnode 23 should be visited before node30\nnode 23 should be visited before node18\nnode 23 should be visited before node3\nnode 23 should be visited before node14\nnode 23 should be visited before node20\nnode 23 should be visited before node8\nnode 23 should be visited before node0\nnode 23 should be visited before node6\nnode 23 should be visited before node27\nnode 23 should be visited before node22\nnode 23 should be visited before node31\nnode 23 should be visited before node13\nnode 23 should be visited before node10\nnode 24 should be visited before node22\nnode 24 should be visited before node31\nnode 24 should be visited before node10\nnode 25 should be visited before node12\nnode 25 should be visited before node8\nnode 25 should be visited before node24\nnode 25 should be visited before node22\nnode 25 should be visited before node31\nnode 25 should be visited before node13\nnode 25 should be visited before node10\nnode 26 should be visited before node21\nnode 26 should be visited before node3\nnode 26 should be visited before node14\nnode 26 should be visited before node1\nnode 26 should be visited before node20\nnode 26 should be visited before node25\nnode 26 should be visited before node12\nnode 26 should be visited before node0\nnode 26 should be visited before node9\nnode 26 should be visited before node24\nnode 26 should be visited before node22\nnode 26 should be visited before node31\nnode 26 should be visited before node13\nnode 26 should be visited before node10\nnode 27 should be visited before node9\nnode 27 should be visited before node24\nnode 27 should be visited before node13\nnode 28 should be visited before node18\nnode 28 should be visited before node14\nnode 28 should be visited before node20\nnode 28 should be visited before node25\nnode 28 should be visited before node8\nnode 28 should be visited before node0\nnode 28 should be visited before node27\nnode 28 should be visited before node9\nnode 28 should be visited before node10\nnode 29 should be visited before node11\nnode 29 should be visited before node17\nnode 29 should be visited before node15\nnode 29 should be visited before node4\nnode 29 should be visited before node7\nnode 29 should be visited before node16\nnode 29 should be visited before node19\nnode 29 should be visited before node30\nnode 29 should be visited before node18\nnode 29 should be visited before node14\nnode 29 should be visited before node20\nnode 29 should be visited before node8\nnode 29 should be visited before node6\nnode 29 should be visited before node24\nnode 29 should be visited before node31\nnode 29 should be visited before node10\nnode 30 should be visited before node3\nnode 30 should be visited before node14\nnode 30 should be visited before node12\nnode 30 should be visited before node6\nnode 30 should be visited before node22\nnode 30 should be visited before node13\nnode 31 should be visited before node13\nnode 31 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "23,29,11,5,15,17,4,16,7,2,19,26,28,21,18,30,3,14,1,20,25,12,8,0,27,6,9,24,22,31,13,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph398",
        "image": "data/topology/graph_visual/hard/graph398.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node22\nnode 0 should be visited before node17\nnode 0 should be visited before node15\nnode 0 should be visited before node18\nnode 0 should be visited before node13\nnode 0 should be visited before node28\nnode 0 should be visited before node20\nnode 1 should be visited before node24\nnode 1 should be visited before node23\nnode 1 should be visited before node6\nnode 1 should be visited before node28\nnode 1 should be visited before node20\nnode 1 should be visited before node21\nnode 3 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node28\nnode 4 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node22\nnode 5 should be visited before node17\nnode 5 should be visited before node15\nnode 5 should be visited before node11\nnode 5 should be visited before node24\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node28\nnode 6 should be visited before node28\nnode 6 should be visited before node7\nnode 6 should be visited before node20\nnode 6 should be visited before node2\nnode 7 should be visited before node3\nnode 7 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node25\nnode 8 should be visited before node26\nnode 8 should be visited before node23\nnode 8 should be visited before node6\nnode 8 should be visited before node20\nnode 9 should be visited before node17\nnode 9 should be visited before node25\nnode 9 should be visited before node26\nnode 9 should be visited before node24\nnode 9 should be visited before node18\nnode 9 should be visited before node6\nnode 9 should be visited before node2\nnode 10 should be visited before node27\nnode 10 should be visited before node22\nnode 10 should be visited before node14\nnode 10 should be visited before node25\nnode 10 should be visited before node1\nnode 10 should be visited before node26\nnode 10 should be visited before node2\nnode 11 should be visited before node18\nnode 11 should be visited before node23\nnode 11 should be visited before node3\nnode 11 should be visited before node2\nnode 12 should be visited before node16\nnode 12 should be visited before node4\nnode 12 should be visited before node25\nnode 12 should be visited before node13\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node3\nnode 13 should be visited before node23\nnode 13 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 13 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node16\nnode 14 should be visited before node4\nnode 14 should be visited before node26\nnode 14 should be visited before node20\nnode 14 should be visited before node3\nnode 14 should be visited before node2\nnode 15 should be visited before node1\nnode 15 should be visited before node24\nnode 15 should be visited before node28\nnode 15 should be visited before node7\nnode 15 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node13\nnode 16 should be visited before node6\nnode 17 should be visited before node16\nnode 17 should be visited before node15\nnode 17 should be visited before node11\nnode 17 should be visited before node23\nnode 17 should be visited before node6\nnode 17 should be visited before node2\nnode 18 should be visited before node28\nnode 18 should be visited before node20\nnode 18 should be visited before node2\nnode 19 should be visited before node9\nnode 19 should be visited before node14\nnode 19 should be visited before node15\nnode 19 should be visited before node25\nnode 19 should be visited before node26\nnode 19 should be visited before node11\nnode 19 should be visited before node20\nnode 20 should be visited before node21\nnode 20 should be visited before node3\nnode 21 should be visited before node2\nnode 22 should be visited before node14\nnode 22 should be visited before node17\nnode 22 should be visited before node1\nnode 22 should be visited before node26\nnode 22 should be visited before node24\nnode 22 should be visited before node6\nnode 22 should be visited before node7\nnode 22 should be visited before node2\nnode 23 should be visited before node6\nnode 23 should be visited before node7\nnode 24 should be visited before node28\nnode 24 should be visited before node3\nnode 24 should be visited before node2\nnode 25 should be visited before node24\nnode 25 should be visited before node6\nnode 25 should be visited before node20\nnode 25 should be visited before node21\nnode 25 should be visited before node2\nnode 26 should be visited before node28\nnode 27 should be visited before node22\nnode 27 should be visited before node4\nnode 27 should be visited before node25\nnode 27 should be visited before node24\nnode 27 should be visited before node6\nnode 27 should be visited before node28\nnode 27 should be visited before node3\nnode 27 should be visited before node2\nnode 28 should be visited before node3\nnode 28 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,8,10,19,0,27,9,22,14,17,12,26,15,11,16,4,25,18,1,13,24,23,6,28,7,20,21,3,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph1159",
        "image": "data/topology/graph_visual/hard/graph1159.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node12\nnode 0 should be visited before node8\nnode 0 should be visited before node3\nnode 0 should be visited before node7\nnode 0 should be visited before node9\nnode 1 should be visited before node20\nnode 1 should be visited before node10\nnode 1 should be visited before node30\nnode 1 should be visited before node27\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node33\nnode 1 should be visited before node19\nnode 1 should be visited before node28\nnode 2 should be visited before node5\nnode 2 should be visited before node16\nnode 3 should be visited before node19\nnode 3 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node28\nnode 4 should be visited before node10\nnode 4 should be visited before node30\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node14\nnode 4 should be visited before node33\nnode 4 should be visited before node17\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node28\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 5 should be visited before node19\nnode 5 should be visited before node9\nnode 5 should be visited before node28\nnode 6 should be visited before node1\nnode 6 should be visited before node10\nnode 6 should be visited before node30\nnode 6 should be visited before node27\nnode 6 should be visited before node14\nnode 6 should be visited before node8\nnode 6 should be visited before node3\nnode 6 should be visited before node19\nnode 6 should be visited before node9\nnode 7 should be visited before node19\nnode 7 should be visited before node28\nnode 8 should be visited before node5\nnode 8 should be visited before node33\nnode 8 should be visited before node17\nnode 8 should be visited before node3\nnode 8 should be visited before node19\nnode 8 should be visited before node16\nnode 8 should be visited before node9\nnode 8 should be visited before node28\nnode 10 should be visited before node27\nnode 10 should be visited before node0\nnode 10 should be visited before node5\nnode 10 should be visited before node33\nnode 10 should be visited before node17\nnode 10 should be visited before node3\nnode 10 should be visited before node9\nnode 10 should be visited before node28\nnode 11 should be visited before node34\nnode 11 should be visited before node32\nnode 11 should be visited before node24\nnode 11 should be visited before node13\nnode 11 should be visited before node2\nnode 11 should be visited before node4\nnode 11 should be visited before node26\nnode 11 should be visited before node20\nnode 11 should be visited before node27\nnode 11 should be visited before node0\nnode 11 should be visited before node12\nnode 11 should be visited before node8\nnode 11 should be visited before node33\nnode 11 should be visited before node7\nnode 11 should be visited before node19\nnode 12 should be visited before node14\nnode 12 should be visited before node8\nnode 12 should be visited before node3\nnode 12 should be visited before node19\nnode 13 should be visited before node18\nnode 13 should be visited before node15\nnode 13 should be visited before node4\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node30\nnode 13 should be visited before node27\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node19\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 14 should be visited before node8\nnode 14 should be visited before node33\nnode 14 should be visited before node3\nnode 14 should be visited before node7\nnode 14 should be visited before node19\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node29\nnode 15 should be visited before node26\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node30\nnode 15 should be visited before node0\nnode 15 should be visited before node33\nnode 15 should be visited before node7\nnode 15 should be visited before node16\nnode 15 should be visited before node9\nnode 16 should be visited before node9\nnode 17 should be visited before node3\nnode 17 should be visited before node7\nnode 17 should be visited before node28\nnode 18 should be visited before node15\nnode 18 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node1\nnode 18 should be visited before node27\nnode 18 should be visited before node0\nnode 18 should be visited before node5\nnode 18 should be visited before node33\nnode 18 should be visited before node7\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 19 should be visited before node16\nnode 20 should be visited before node10\nnode 20 should be visited before node30\nnode 20 should be visited before node27\nnode 20 should be visited before node0\nnode 20 should be visited before node12\nnode 20 should be visited before node8\nnode 20 should be visited before node33\nnode 20 should be visited before node7\nnode 20 should be visited before node16\nnode 20 should be visited before node9\nnode 20 should be visited before node28\nnode 21 should be visited before node22\nnode 21 should be visited before node13\nnode 21 should be visited before node18\nnode 21 should be visited before node31\nnode 21 should be visited before node2\nnode 21 should be visited before node1\nnode 21 should be visited before node20\nnode 21 should be visited before node10\nnode 21 should be visited before node30\nnode 21 should be visited before node0\nnode 21 should be visited before node12\nnode 21 should be visited before node8\nnode 21 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node16\nnode 22 should be visited before node18\nnode 22 should be visited before node15\nnode 22 should be visited before node2\nnode 22 should be visited before node29\nnode 22 should be visited before node26\nnode 22 should be visited before node6\nnode 22 should be visited before node10\nnode 22 should be visited before node0\nnode 22 should be visited before node12\nnode 22 should be visited before node8\nnode 22 should be visited before node5\nnode 22 should be visited before node33\nnode 22 should be visited before node3\nnode 22 should be visited before node16\nnode 22 should be visited before node9\nnode 22 should be visited before node28\nnode 23 should be visited before node32\nnode 23 should be visited before node21\nnode 23 should be visited before node22\nnode 23 should be visited before node24\nnode 23 should be visited before node18\nnode 23 should be visited before node31\nnode 23 should be visited before node15\nnode 23 should be visited before node2\nnode 23 should be visited before node4\nnode 23 should be visited before node29\nnode 23 should be visited before node6\nnode 23 should be visited before node20\nnode 23 should be visited before node30\nnode 23 should be visited before node27\nnode 23 should be visited before node0\nnode 23 should be visited before node14\nnode 23 should be visited before node5\nnode 23 should be visited before node33\nnode 23 should be visited before node28\nnode 24 should be visited before node2\nnode 24 should be visited before node4\nnode 24 should be visited before node29\nnode 24 should be visited before node26\nnode 24 should be visited before node6\nnode 24 should be visited before node1\nnode 24 should be visited before node20\nnode 24 should be visited before node30\nnode 24 should be visited before node27\nnode 24 should be visited before node14\nnode 24 should be visited before node5\nnode 24 should be visited before node33\nnode 24 should be visited before node17\nnode 24 should be visited before node3\nnode 24 should be visited before node16\nnode 24 should be visited before node9\nnode 25 should be visited before node21\nnode 25 should be visited before node13\nnode 25 should be visited before node31\nnode 25 should be visited before node15\nnode 25 should be visited before node26\nnode 25 should be visited before node6\nnode 25 should be visited before node1\nnode 25 should be visited before node20\nnode 25 should be visited before node10\nnode 25 should be visited before node30\nnode 25 should be visited before node27\nnode 25 should be visited before node0\nnode 25 should be visited before node8\nnode 25 should be visited before node5\nnode 25 should be visited before node33\nnode 25 should be visited before node17\nnode 25 should be visited before node3\nnode 25 should be visited before node19\nnode 26 should be visited before node1\nnode 26 should be visited before node20\nnode 26 should be visited before node10\nnode 26 should be visited before node8\nnode 26 should be visited before node5\nnode 26 should be visited before node33\nnode 26 should be visited before node17\nnode 26 should be visited before node7\nnode 26 should be visited before node9\nnode 26 should be visited before node28\nnode 27 should be visited before node14\nnode 27 should be visited before node7\nnode 27 should be visited before node28\nnode 29 should be visited before node26\nnode 29 should be visited before node6\nnode 29 should be visited before node10\nnode 29 should be visited before node0\nnode 29 should be visited before node14\nnode 29 should be visited before node5\nnode 29 should be visited before node33\nnode 29 should be visited before node17\nnode 29 should be visited before node3\nnode 29 should be visited before node7\nnode 29 should be visited before node16\nnode 29 should be visited before node28\nnode 30 should be visited before node12\nnode 30 should be visited before node14\nnode 30 should be visited before node8\nnode 30 should be visited before node7\nnode 30 should be visited before node19\nnode 30 should be visited before node9\nnode 31 should be visited before node15\nnode 31 should be visited before node2\nnode 31 should be visited before node29\nnode 31 should be visited before node26\nnode 31 should be visited before node30\nnode 31 should be visited before node27\nnode 31 should be visited before node0\nnode 31 should be visited before node14\nnode 31 should be visited before node8\nnode 31 should be visited before node17\nnode 31 should be visited before node3\nnode 31 should be visited before node7\nnode 31 should be visited before node19\nnode 31 should be visited before node28\nnode 32 should be visited before node22\nnode 32 should be visited before node18\nnode 32 should be visited before node31\nnode 32 should be visited before node29\nnode 32 should be visited before node6\nnode 32 should be visited before node1\nnode 32 should be visited before node10\nnode 32 should be visited before node30\nnode 32 should be visited before node0\nnode 32 should be visited before node14\nnode 32 should be visited before node8\nnode 32 should be visited before node33\nnode 32 should be visited before node3\nnode 32 should be visited before node7\nnode 32 should be visited before node16\nnode 32 should be visited before node9\nnode 32 should be visited before node28\nnode 33 should be visited before node3\nnode 33 should be visited before node16\nnode 34 should be visited before node32\nnode 34 should be visited before node13\nnode 34 should be visited before node18\nnode 34 should be visited before node4\nnode 34 should be visited before node29\nnode 34 should be visited before node26\nnode 34 should be visited before node6\nnode 34 should be visited before node20\nnode 34 should be visited before node27\nnode 34 should be visited before node5\nnode 34 should be visited before node33\nnode 34 should be visited before node17\nnode 34 should be visited before node16\nnode 34 should be visited before node9\nnode 34 should be visited before node28\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,23,25,34,24,21,32,13,22,31,18,15,2,4,29,26,6,1,20,10,30,27,0,12,14,8,5,33,17,3,7,19,28,16,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph812",
        "image": "data/topology/graph_visual/hard/graph812.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node18\nnode 0 should be visited before node16\nnode 0 should be visited before node21\nnode 0 should be visited before node24\nnode 0 should be visited before node2\nnode 0 should be visited before node10\nnode 1 should be visited before node25\nnode 1 should be visited before node26\nnode 1 should be visited before node9\nnode 1 should be visited before node6\nnode 1 should be visited before node12\nnode 1 should be visited before node28\nnode 1 should be visited before node3\nnode 1 should be visited before node0\nnode 1 should be visited before node17\nnode 1 should be visited before node7\nnode 1 should be visited before node23\nnode 1 should be visited before node21\nnode 1 should be visited before node2\nnode 1 should be visited before node31\nnode 1 should be visited before node15\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 2 should be visited before node19\nnode 2 should be visited before node22\nnode 2 should be visited before node5\nnode 3 should be visited before node18\nnode 3 should be visited before node27\nnode 3 should be visited before node21\nnode 3 should be visited before node2\nnode 3 should be visited before node19\nnode 3 should be visited before node15\nnode 3 should be visited before node10\nnode 3 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node27\nnode 4 should be visited before node23\nnode 4 should be visited before node30\nnode 4 should be visited before node21\nnode 4 should be visited before node15\nnode 4 should be visited before node22\nnode 4 should be visited before node10\nnode 6 should be visited before node4\nnode 6 should be visited before node12\nnode 6 should be visited before node3\nnode 6 should be visited before node0\nnode 6 should be visited before node18\nnode 6 should be visited before node7\nnode 6 should be visited before node23\nnode 6 should be visited before node16\nnode 6 should be visited before node21\nnode 6 should be visited before node2\nnode 6 should be visited before node31\nnode 6 should be visited before node19\nnode 6 should be visited before node22\nnode 6 should be visited before node5\nnode 7 should be visited before node27\nnode 7 should be visited before node16\nnode 7 should be visited before node30\nnode 7 should be visited before node21\nnode 7 should be visited before node24\nnode 7 should be visited before node19\nnode 7 should be visited before node22\nnode 7 should be visited before node10\nnode 7 should be visited before node5\nnode 8 should be visited before node25\nnode 8 should be visited before node20\nnode 8 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node17\nnode 8 should be visited before node7\nnode 8 should be visited before node23\nnode 8 should be visited before node21\nnode 8 should be visited before node31\nnode 8 should be visited before node19\nnode 8 should be visited before node10\nnode 8 should be visited before node5\nnode 9 should be visited before node4\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node29\nnode 9 should be visited before node17\nnode 9 should be visited before node23\nnode 9 should be visited before node30\nnode 9 should be visited before node21\nnode 9 should be visited before node19\nnode 9 should be visited before node15\nnode 9 should be visited before node22\nnode 11 should be visited before node6\nnode 11 should be visited before node12\nnode 11 should be visited before node28\nnode 11 should be visited before node29\nnode 11 should be visited before node17\nnode 11 should be visited before node27\nnode 11 should be visited before node23\nnode 11 should be visited before node24\nnode 11 should be visited before node19\nnode 11 should be visited before node22\nnode 11 should be visited before node10\nnode 11 should be visited before node5\nnode 12 should be visited before node0\nnode 12 should be visited before node29\nnode 12 should be visited before node7\nnode 12 should be visited before node23\nnode 12 should be visited before node16\nnode 12 should be visited before node31\nnode 12 should be visited before node19\nnode 12 should be visited before node22\nnode 12 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node18\nnode 13 should be visited before node7\nnode 13 should be visited before node30\nnode 13 should be visited before node21\nnode 13 should be visited before node24\nnode 13 should be visited before node2\nnode 13 should be visited before node31\nnode 13 should be visited before node19\nnode 13 should be visited before node15\nnode 13 should be visited before node22\nnode 13 should be visited before node10\nnode 13 should be visited before node5\nnode 14 should be visited before node11\nnode 14 should be visited before node6\nnode 14 should be visited before node4\nnode 14 should be visited before node28\nnode 14 should be visited before node18\nnode 14 should be visited before node27\nnode 14 should be visited before node23\nnode 14 should be visited before node21\nnode 14 should be visited before node15\nnode 16 should be visited before node21\nnode 16 should be visited before node24\nnode 16 should be visited before node2\nnode 16 should be visited before node31\nnode 16 should be visited before node22\nnode 17 should be visited before node23\nnode 17 should be visited before node16\nnode 17 should be visited before node30\nnode 17 should be visited before node24\nnode 17 should be visited before node2\nnode 17 should be visited before node31\nnode 17 should be visited before node22\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 18 should be visited before node23\nnode 18 should be visited before node30\nnode 18 should be visited before node21\nnode 18 should be visited before node24\nnode 18 should be visited before node31\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 19 should be visited before node5\nnode 20 should be visited before node26\nnode 20 should be visited before node9\nnode 20 should be visited before node11\nnode 20 should be visited before node0\nnode 20 should be visited before node18\nnode 20 should be visited before node17\nnode 20 should be visited before node23\nnode 20 should be visited before node21\nnode 20 should be visited before node31\nnode 21 should be visited before node24\nnode 21 should be visited before node2\nnode 21 should be visited before node19\nnode 21 should be visited before node22\nnode 22 should be visited before node5\nnode 23 should be visited before node16\nnode 23 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node31\nnode 23 should be visited before node22\nnode 23 should be visited before node5\nnode 24 should be visited before node2\nnode 24 should be visited before node31\nnode 24 should be visited before node19\nnode 24 should be visited before node15\nnode 24 should be visited before node5\nnode 25 should be visited before node26\nnode 25 should be visited before node9\nnode 25 should be visited before node14\nnode 25 should be visited before node6\nnode 25 should be visited before node4\nnode 25 should be visited before node3\nnode 25 should be visited before node0\nnode 25 should be visited before node18\nnode 25 should be visited before node17\nnode 25 should be visited before node7\nnode 25 should be visited before node22\nnode 25 should be visited before node10\nnode 26 should be visited before node9\nnode 26 should be visited before node14\nnode 26 should be visited before node4\nnode 26 should be visited before node12\nnode 26 should be visited before node28\nnode 26 should be visited before node13\nnode 26 should be visited before node17\nnode 26 should be visited before node7\nnode 26 should be visited before node16\nnode 26 should be visited before node30\nnode 26 should be visited before node24\nnode 26 should be visited before node31\nnode 26 should be visited before node5\nnode 27 should be visited before node23\nnode 27 should be visited before node16\nnode 27 should be visited before node19\nnode 27 should be visited before node15\nnode 27 should be visited before node22\nnode 27 should be visited before node10\nnode 27 should be visited before node5\nnode 28 should be visited before node0\nnode 28 should be visited before node29\nnode 28 should be visited before node17\nnode 28 should be visited before node7\nnode 28 should be visited before node27\nnode 28 should be visited before node23\nnode 28 should be visited before node16\nnode 28 should be visited before node30\nnode 28 should be visited before node31\nnode 28 should be visited before node15\nnode 28 should be visited before node22\nnode 28 should be visited before node5\nnode 29 should be visited before node17\nnode 29 should be visited before node7\nnode 29 should be visited before node31\nnode 29 should be visited before node19\nnode 29 should be visited before node22\nnode 29 should be visited before node5\nnode 30 should be visited before node2\nnode 30 should be visited before node31\nnode 30 should be visited before node15\nnode 30 should be visited before node22\nnode 31 should be visited before node19\nnode 31 should be visited before node15\nnode 31 should be visited before node10\nnode 31 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,8,25,20,26,9,14,13,11,6,28,4,12,3,0,29,18,17,7,27,30,23,16,21,24,2,31,22,19,15,10,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph958",
        "image": "data/topology/graph_visual/hard/graph958.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node13\nnode 0 should be visited before node4\nnode 0 should be visited before node9\nnode 0 should be visited before node30\nnode 0 should be visited before node1\nnode 0 should be visited before node27\nnode 1 should be visited before node27\nnode 1 should be visited before node14\nnode 1 should be visited before node12\nnode 2 should be visited before node31\nnode 2 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node0\nnode 2 should be visited before node25\nnode 2 should be visited before node24\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 2 should be visited before node30\nnode 2 should be visited before node27\nnode 2 should be visited before node12\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node15\nnode 3 should be visited before node29\nnode 3 should be visited before node26\nnode 3 should be visited before node22\nnode 3 should be visited before node16\nnode 3 should be visited before node20\nnode 3 should be visited before node13\nnode 3 should be visited before node28\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 3 should be visited before node21\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 3 should be visited before node30\nnode 3 should be visited before node1\nnode 3 should be visited before node12\nnode 4 should be visited before node11\nnode 4 should be visited before node21\nnode 4 should be visited before node10\nnode 4 should be visited before node1\nnode 4 should be visited before node27\nnode 4 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node26\nnode 5 should be visited before node2\nnode 5 should be visited before node22\nnode 5 should be visited before node19\nnode 5 should be visited before node0\nnode 5 should be visited before node24\nnode 5 should be visited before node4\nnode 5 should be visited before node11\nnode 5 should be visited before node21\nnode 5 should be visited before node17\nnode 5 should be visited before node30\nnode 5 should be visited before node1\nnode 5 should be visited before node27\nnode 5 should be visited before node14\nnode 5 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node20\nnode 6 should be visited before node0\nnode 6 should be visited before node13\nnode 6 should be visited before node18\nnode 6 should be visited before node4\nnode 6 should be visited before node11\nnode 6 should be visited before node17\nnode 6 should be visited before node9\nnode 6 should be visited before node30\nnode 6 should be visited before node27\nnode 6 should be visited before node14\nnode 7 should be visited before node32\nnode 7 should be visited before node26\nnode 7 should be visited before node19\nnode 7 should be visited before node6\nnode 7 should be visited before node0\nnode 7 should be visited before node13\nnode 7 should be visited before node28\nnode 7 should be visited before node25\nnode 7 should be visited before node4\nnode 7 should be visited before node23\nnode 7 should be visited before node11\nnode 7 should be visited before node21\nnode 8 should be visited before node32\nnode 8 should be visited before node29\nnode 8 should be visited before node26\nnode 8 should be visited before node22\nnode 8 should be visited before node16\nnode 8 should be visited before node20\nnode 8 should be visited before node18\nnode 8 should be visited before node25\nnode 8 should be visited before node24\nnode 8 should be visited before node4\nnode 8 should be visited before node21\nnode 8 should be visited before node27\nnode 9 should be visited before node10\nnode 9 should be visited before node30\nnode 9 should be visited before node1\nnode 10 should be visited before node1\nnode 10 should be visited before node27\nnode 10 should be visited before node12\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node1\nnode 11 should be visited before node27\nnode 13 should be visited before node18\nnode 13 should be visited before node25\nnode 13 should be visited before node23\nnode 13 should be visited before node9\nnode 13 should be visited before node10\nnode 13 should be visited before node30\nnode 13 should be visited before node1\nnode 13 should be visited before node27\nnode 13 should be visited before node14\nnode 15 should be visited before node32\nnode 15 should be visited before node29\nnode 15 should be visited before node2\nnode 15 should be visited before node31\nnode 15 should be visited before node0\nnode 15 should be visited before node13\nnode 15 should be visited before node24\nnode 15 should be visited before node4\nnode 15 should be visited before node23\nnode 15 should be visited before node21\nnode 15 should be visited before node30\nnode 15 should be visited before node1\nnode 15 should be visited before node27\nnode 16 should be visited before node20\nnode 16 should be visited before node0\nnode 16 should be visited before node25\nnode 16 should be visited before node4\nnode 16 should be visited before node11\nnode 16 should be visited before node21\nnode 16 should be visited before node9\nnode 16 should be visited before node10\nnode 17 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node30\nnode 17 should be visited before node14\nnode 17 should be visited before node12\nnode 18 should be visited before node28\nnode 18 should be visited before node24\nnode 18 should be visited before node4\nnode 18 should be visited before node11\nnode 18 should be visited before node9\nnode 18 should be visited before node1\nnode 18 should be visited before node27\nnode 18 should be visited before node12\nnode 19 should be visited before node18\nnode 19 should be visited before node25\nnode 19 should be visited before node24\nnode 19 should be visited before node4\nnode 19 should be visited before node11\nnode 19 should be visited before node21\nnode 19 should be visited before node9\nnode 19 should be visited before node30\nnode 19 should be visited before node1\nnode 19 should be visited before node27\nnode 20 should be visited before node13\nnode 20 should be visited before node25\nnode 20 should be visited before node24\nnode 20 should be visited before node4\nnode 20 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node10\nnode 20 should be visited before node14\nnode 21 should be visited before node17\nnode 21 should be visited before node12\nnode 22 should be visited before node31\nnode 22 should be visited before node19\nnode 22 should be visited before node6\nnode 22 should be visited before node16\nnode 22 should be visited before node0\nnode 22 should be visited before node13\nnode 22 should be visited before node24\nnode 22 should be visited before node4\nnode 22 should be visited before node23\nnode 22 should be visited before node17\nnode 22 should be visited before node14\nnode 22 should be visited before node12\nnode 23 should be visited before node11\nnode 23 should be visited before node21\nnode 23 should be visited before node10\nnode 23 should be visited before node30\nnode 23 should be visited before node12\nnode 24 should be visited before node4\nnode 24 should be visited before node23\nnode 24 should be visited before node21\nnode 24 should be visited before node17\nnode 24 should be visited before node30\nnode 24 should be visited before node1\nnode 24 should be visited before node12\nnode 25 should be visited before node10\nnode 25 should be visited before node14\nnode 25 should be visited before node12\nnode 26 should be visited before node19\nnode 26 should be visited before node16\nnode 26 should be visited before node20\nnode 26 should be visited before node28\nnode 26 should be visited before node25\nnode 26 should be visited before node24\nnode 26 should be visited before node17\nnode 26 should be visited before node30\nnode 26 should be visited before node27\nnode 26 should be visited before node14\nnode 26 should be visited before node12\nnode 27 should be visited before node12\nnode 28 should be visited before node25\nnode 28 should be visited before node4\nnode 28 should be visited before node17\nnode 28 should be visited before node10\nnode 28 should be visited before node30\nnode 28 should be visited before node1\nnode 28 should be visited before node14\nnode 28 should be visited before node12\nnode 29 should be visited before node2\nnode 29 should be visited before node22\nnode 29 should be visited before node0\nnode 29 should be visited before node13\nnode 29 should be visited before node25\nnode 29 should be visited before node24\nnode 29 should be visited before node4\nnode 29 should be visited before node11\nnode 29 should be visited before node21\nnode 29 should be visited before node17\nnode 29 should be visited before node12\nnode 30 should be visited before node1\nnode 30 should be visited before node12\nnode 31 should be visited before node16\nnode 31 should be visited before node20\nnode 31 should be visited before node0\nnode 31 should be visited before node18\nnode 31 should be visited before node28\nnode 31 should be visited before node4\nnode 31 should be visited before node11\nnode 31 should be visited before node21\nnode 31 should be visited before node9\nnode 31 should be visited before node10\nnode 31 should be visited before node1\nnode 31 should be visited before node27\nnode 31 should be visited before node12\nnode 32 should be visited before node29\nnode 32 should be visited before node2\nnode 32 should be visited before node22\nnode 32 should be visited before node16\nnode 32 should be visited before node25\nnode 32 should be visited before node24\nnode 32 should be visited before node4\nnode 32 should be visited before node23\nnode 32 should be visited before node21\nnode 32 should be visited before node17\nnode 32 should be visited before node10\nnode 32 should be visited before node30\nnode 32 should be visited before node1\nnode 32 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,5,8,15,7,32,26,29,2,22,31,19,6,16,20,0,13,18,28,24,25,4,23,11,21,17,9,10,30,1,27,14,12."
            }
        ]
    },
    {
        "id": "topology-hard-graph461",
        "image": "data/topology/graph_visual/hard/graph461.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node4\nnode 0 should be visited before node27\nnode 0 should be visited before node28\nnode 0 should be visited before node26\nnode 0 should be visited before node14\nnode 0 should be visited before node19\nnode 0 should be visited before node13\nnode 0 should be visited before node10\nnode 0 should be visited before node22\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node1\nnode 0 should be visited before node21\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 0 should be visited before node24\nnode 0 should be visited before node25\nnode 1 should be visited before node23\nnode 1 should be visited before node20\nnode 1 should be visited before node24\nnode 1 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node28\nnode 2 should be visited before node17\nnode 2 should be visited before node26\nnode 2 should be visited before node14\nnode 2 should be visited before node18\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node23\nnode 2 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node24\nnode 3 should be visited before node7\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 3 should be visited before node24\nnode 3 should be visited before node25\nnode 4 should be visited before node28\nnode 4 should be visited before node17\nnode 4 should be visited before node26\nnode 4 should be visited before node14\nnode 4 should be visited before node19\nnode 4 should be visited before node13\nnode 4 should be visited before node10\nnode 4 should be visited before node22\nnode 4 should be visited before node1\nnode 4 should be visited before node23\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node15\nnode 4 should be visited before node24\nnode 4 should be visited before node5\nnode 5 should be visited before node25\nnode 6 should be visited before node23\nnode 6 should be visited before node3\nnode 6 should be visited before node7\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 6 should be visited before node25\nnode 7 should be visited before node15\nnode 7 should be visited before node25\nnode 8 should be visited before node6\nnode 8 should be visited before node1\nnode 8 should be visited before node23\nnode 8 should be visited before node20\nnode 8 should be visited before node21\nnode 8 should be visited before node3\nnode 8 should be visited before node11\nnode 8 should be visited before node24\nnode 9 should be visited before node22\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node1\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node11\nnode 9 should be visited before node24\nnode 10 should be visited before node22\nnode 10 should be visited before node1\nnode 10 should be visited before node23\nnode 10 should be visited before node20\nnode 10 should be visited before node16\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node25\nnode 11 should be visited before node24\nnode 11 should be visited before node5\nnode 11 should be visited before node25\nnode 12 should be visited before node27\nnode 12 should be visited before node14\nnode 12 should be visited before node19\nnode 12 should be visited before node18\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 12 should be visited before node23\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 13 should be visited before node9\nnode 13 should be visited before node23\nnode 13 should be visited before node20\nnode 13 should be visited before node21\nnode 13 should be visited before node11\nnode 13 should be visited before node25\nnode 14 should be visited before node18\nnode 14 should be visited before node9\nnode 14 should be visited before node23\nnode 14 should be visited before node20\nnode 14 should be visited before node21\nnode 14 should be visited before node3\nnode 14 should be visited before node11\nnode 14 should be visited before node24\nnode 15 should be visited before node5\nnode 15 should be visited before node25\nnode 16 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node24\nnode 16 should be visited before node5\nnode 17 should be visited before node26\nnode 17 should be visited before node19\nnode 17 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node1\nnode 17 should be visited before node20\nnode 17 should be visited before node21\nnode 17 should be visited before node3\nnode 17 should be visited before node7\nnode 17 should be visited before node11\nnode 17 should be visited before node15\nnode 17 should be visited before node5\nnode 18 should be visited before node9\nnode 18 should be visited before node8\nnode 18 should be visited before node1\nnode 18 should be visited before node23\nnode 18 should be visited before node20\nnode 18 should be visited before node7\nnode 18 should be visited before node11\nnode 18 should be visited before node25\nnode 19 should be visited before node13\nnode 19 should be visited before node9\nnode 19 should be visited before node10\nnode 19 should be visited before node23\nnode 19 should be visited before node20\nnode 19 should be visited before node21\nnode 19 should be visited before node11\nnode 19 should be visited before node5\nnode 19 should be visited before node25\nnode 20 should be visited before node21\nnode 20 should be visited before node11\nnode 21 should be visited before node16\nnode 21 should be visited before node3\nnode 21 should be visited before node11\nnode 21 should be visited before node15\nnode 21 should be visited before node5\nnode 22 should be visited before node1\nnode 22 should be visited before node21\nnode 22 should be visited before node16\nnode 22 should be visited before node7\nnode 22 should be visited before node15\nnode 22 should be visited before node24\nnode 22 should be visited before node5\nnode 22 should be visited before node25\nnode 23 should be visited before node11\nnode 23 should be visited before node15\nnode 23 should be visited before node5\nnode 23 should be visited before node25\nnode 24 should be visited before node25\nnode 26 should be visited before node9\nnode 26 should be visited before node10\nnode 26 should be visited before node22\nnode 26 should be visited before node23\nnode 26 should be visited before node20\nnode 26 should be visited before node16\nnode 26 should be visited before node15\nnode 27 should be visited before node17\nnode 27 should be visited before node26\nnode 27 should be visited before node19\nnode 27 should be visited before node18\nnode 27 should be visited before node10\nnode 27 should be visited before node1\nnode 27 should be visited before node23\nnode 27 should be visited before node21\nnode 27 should be visited before node16\nnode 27 should be visited before node3\nnode 27 should be visited before node5\nnode 28 should be visited before node17\nnode 28 should be visited before node26\nnode 28 should be visited before node13\nnode 28 should be visited before node18\nnode 28 should be visited before node9\nnode 28 should be visited before node10\nnode 28 should be visited before node22\nnode 28 should be visited before node8\nnode 28 should be visited before node23\nnode 28 should be visited before node20\nnode 28 should be visited before node16\nnode 28 should be visited before node3\nnode 28 should be visited before node7\nnode 28 should be visited before node11\nnode 28 should be visited before node15\nnode 28 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,12,4,27,28,14,17,18,26,19,13,10,9,22,8,6,1,23,20,21,16,3,7,11,15,24,5,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph930",
        "image": "data/topology/graph_visual/hard/graph930.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node15\nnode 0 should be visited before node30\nnode 0 should be visited before node3\nnode 0 should be visited before node23\nnode 0 should be visited before node6\nnode 0 should be visited before node18\nnode 0 should be visited before node20\nnode 0 should be visited before node4\nnode 0 should be visited before node13\nnode 0 should be visited before node11\nnode 0 should be visited before node24\nnode 0 should be visited before node25\nnode 0 should be visited before node5\nnode 0 should be visited before node21\nnode 0 should be visited before node12\nnode 0 should be visited before node29\nnode 0 should be visited before node1\nnode 0 should be visited before node8\nnode 0 should be visited before node31\nnode 1 should be visited before node8\nnode 2 should be visited before node14\nnode 2 should be visited before node25\nnode 2 should be visited before node21\nnode 2 should be visited before node17\nnode 2 should be visited before node12\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node31\nnode 3 should be visited before node27\nnode 3 should be visited before node6\nnode 3 should be visited before node18\nnode 3 should be visited before node20\nnode 3 should be visited before node4\nnode 3 should be visited before node19\nnode 3 should be visited before node11\nnode 3 should be visited before node2\nnode 3 should be visited before node14\nnode 3 should be visited before node9\nnode 3 should be visited before node5\nnode 3 should be visited before node21\nnode 3 should be visited before node29\nnode 3 should be visited before node31\nnode 4 should be visited before node26\nnode 4 should be visited before node14\nnode 4 should be visited before node9\nnode 4 should be visited before node21\nnode 4 should be visited before node17\nnode 4 should be visited before node12\nnode 5 should be visited before node21\nnode 5 should be visited before node1\nnode 5 should be visited before node8\nnode 5 should be visited before node31\nnode 6 should be visited before node18\nnode 6 should be visited before node20\nnode 6 should be visited before node19\nnode 6 should be visited before node13\nnode 6 should be visited before node22\nnode 6 should be visited before node14\nnode 6 should be visited before node9\nnode 6 should be visited before node21\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 6 should be visited before node8\nnode 6 should be visited before node31\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 7 should be visited before node21\nnode 7 should be visited before node12\nnode 7 should be visited before node29\nnode 7 should be visited before node1\nnode 7 should be visited before node31\nnode 9 should be visited before node21\nnode 9 should be visited before node17\nnode 9 should be visited before node12\nnode 9 should be visited before node1\nnode 9 should be visited before node8\nnode 9 should be visited before node31\nnode 10 should be visited before node22\nnode 10 should be visited before node7\nnode 10 should be visited before node25\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node21\nnode 10 should be visited before node29\nnode 10 should be visited before node1\nnode 10 should be visited before node8\nnode 10 should be visited before node31\nnode 11 should be visited before node7\nnode 11 should be visited before node25\nnode 11 should be visited before node21\nnode 11 should be visited before node17\nnode 11 should be visited before node12\nnode 11 should be visited before node1\nnode 11 should be visited before node31\nnode 12 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node24\nnode 13 should be visited before node2\nnode 13 should be visited before node14\nnode 13 should be visited before node25\nnode 13 should be visited before node9\nnode 13 should be visited before node5\nnode 13 should be visited before node17\nnode 13 should be visited before node12\nnode 13 should be visited before node29\nnode 13 should be visited before node1\nnode 13 should be visited before node8\nnode 13 should be visited before node31\nnode 14 should be visited before node9\nnode 14 should be visited before node5\nnode 14 should be visited before node29\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 15 should be visited before node30\nnode 15 should be visited before node32\nnode 15 should be visited before node3\nnode 15 should be visited before node23\nnode 15 should be visited before node26\nnode 15 should be visited before node13\nnode 15 should be visited before node11\nnode 15 should be visited before node10\nnode 15 should be visited before node22\nnode 15 should be visited before node7\nnode 15 should be visited before node14\nnode 15 should be visited before node25\nnode 15 should be visited before node21\nnode 15 should be visited before node1\nnode 15 should be visited before node8\nnode 15 should be visited before node31\nnode 16 should be visited before node27\nnode 16 should be visited before node6\nnode 16 should be visited before node18\nnode 16 should be visited before node19\nnode 16 should be visited before node26\nnode 16 should be visited before node13\nnode 16 should be visited before node24\nnode 16 should be visited before node22\nnode 16 should be visited before node2\nnode 16 should be visited before node9\nnode 16 should be visited before node17\nnode 16 should be visited before node12\nnode 16 should be visited before node1\nnode 16 should be visited before node8\nnode 16 should be visited before node31\nnode 17 should be visited before node12\nnode 18 should be visited before node19\nnode 18 should be visited before node13\nnode 18 should be visited before node11\nnode 18 should be visited before node22\nnode 18 should be visited before node2\nnode 18 should be visited before node14\nnode 18 should be visited before node29\nnode 18 should be visited before node8\nnode 19 should be visited before node26\nnode 19 should be visited before node13\nnode 19 should be visited before node24\nnode 19 should be visited before node7\nnode 19 should be visited before node14\nnode 19 should be visited before node17\nnode 19 should be visited before node1\nnode 20 should be visited before node4\nnode 20 should be visited before node24\nnode 20 should be visited before node22\nnode 20 should be visited before node2\nnode 20 should be visited before node25\nnode 20 should be visited before node5\nnode 20 should be visited before node29\nnode 20 should be visited before node31\nnode 21 should be visited before node17\nnode 21 should be visited before node1\nnode 21 should be visited before node8\nnode 21 should be visited before node31\nnode 22 should be visited before node7\nnode 22 should be visited before node2\nnode 22 should be visited before node25\nnode 22 should be visited before node5\nnode 22 should be visited before node21\nnode 22 should be visited before node17\nnode 22 should be visited before node12\nnode 23 should be visited before node6\nnode 23 should be visited before node4\nnode 23 should be visited before node26\nnode 23 should be visited before node13\nnode 23 should be visited before node24\nnode 23 should be visited before node2\nnode 23 should be visited before node5\nnode 23 should be visited before node21\nnode 23 should be visited before node17\nnode 23 should be visited before node29\nnode 23 should be visited before node31\nnode 24 should be visited before node22\nnode 24 should be visited before node9\nnode 24 should be visited before node5\nnode 24 should be visited before node21\nnode 24 should be visited before node29\nnode 24 should be visited before node31\nnode 25 should be visited before node17\nnode 25 should be visited before node29\nnode 25 should be visited before node1\nnode 26 should be visited before node13\nnode 26 should be visited before node7\nnode 26 should be visited before node2\nnode 26 should be visited before node14\nnode 26 should be visited before node5\nnode 26 should be visited before node17\nnode 26 should be visited before node29\nnode 26 should be visited before node1\nnode 27 should be visited before node18\nnode 27 should be visited before node11\nnode 27 should be visited before node24\nnode 27 should be visited before node14\nnode 27 should be visited before node5\nnode 27 should be visited before node21\nnode 27 should be visited before node17\nnode 27 should be visited before node12\nnode 27 should be visited before node29\nnode 27 should be visited before node1\nnode 28 should be visited before node30\nnode 28 should be visited before node16\nnode 28 should be visited before node6\nnode 28 should be visited before node19\nnode 28 should be visited before node10\nnode 28 should be visited before node2\nnode 28 should be visited before node25\nnode 28 should be visited before node9\nnode 28 should be visited before node21\nnode 28 should be visited before node17\nnode 28 should be visited before node12\nnode 28 should be visited before node1\nnode 29 should be visited before node1\nnode 29 should be visited before node31\nnode 30 should be visited before node32\nnode 30 should be visited before node16\nnode 30 should be visited before node3\nnode 30 should be visited before node27\nnode 30 should be visited before node6\nnode 30 should be visited before node4\nnode 30 should be visited before node26\nnode 30 should be visited before node13\nnode 30 should be visited before node11\nnode 30 should be visited before node10\nnode 30 should be visited before node22\nnode 30 should be visited before node7\nnode 30 should be visited before node2\nnode 30 should be visited before node25\nnode 30 should be visited before node9\nnode 30 should be visited before node5\nnode 30 should be visited before node21\nnode 30 should be visited before node17\nnode 30 should be visited before node1\nnode 30 should be visited before node31\nnode 32 should be visited before node16\nnode 32 should be visited before node3\nnode 32 should be visited before node27\nnode 32 should be visited before node23\nnode 32 should be visited before node6\nnode 32 should be visited before node20\nnode 32 should be visited before node26\nnode 32 should be visited before node13\nnode 32 should be visited before node11\nnode 32 should be visited before node10\nnode 32 should be visited before node2\nnode 32 should be visited before node25\nnode 32 should be visited before node9\nnode 32 should be visited before node21\nnode 32 should be visited before node17\nnode 32 should be visited before node29\nnode 32 should be visited before node8\nnode 32 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,28,15,30,32,16,3,23,10,27,6,18,20,19,4,26,13,11,24,22,7,2,14,25,9,5,29,21,17,1,31,12,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph953",
        "image": "data/topology/graph_visual/hard/graph953.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node28\nnode 0 should be visited before node16\nnode 1 should be visited before node5\nnode 1 should be visited before node19\nnode 1 should be visited before node22\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node8\nnode 1 should be visited before node21\nnode 1 should be visited before node27\nnode 1 should be visited before node6\nnode 1 should be visited before node9\nnode 1 should be visited before node28\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node30\nnode 2 should be visited before node8\nnode 2 should be visited before node20\nnode 2 should be visited before node21\nnode 2 should be visited before node27\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 2 should be visited before node30\nnode 2 should be visited before node29\nnode 2 should be visited before node32\nnode 3 should be visited before node14\nnode 3 should be visited before node8\nnode 3 should be visited before node11\nnode 3 should be visited before node21\nnode 3 should be visited before node27\nnode 3 should be visited before node6\nnode 3 should be visited before node13\nnode 3 should be visited before node9\nnode 3 should be visited before node0\nnode 3 should be visited before node31\nnode 3 should be visited before node28\nnode 3 should be visited before node15\nnode 3 should be visited before node4\nnode 3 should be visited before node30\nnode 3 should be visited before node29\nnode 3 should be visited before node16\nnode 3 should be visited before node26\nnode 3 should be visited before node32\nnode 4 should be visited before node29\nnode 4 should be visited before node26\nnode 5 should be visited before node22\nnode 5 should be visited before node17\nnode 5 should be visited before node18\nnode 5 should be visited before node10\nnode 5 should be visited before node20\nnode 5 should be visited before node11\nnode 5 should be visited before node27\nnode 5 should be visited before node9\nnode 5 should be visited before node31\nnode 5 should be visited before node28\nnode 5 should be visited before node15\nnode 5 should be visited before node26\nnode 5 should be visited before node32\nnode 6 should be visited before node9\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node28\nnode 6 should be visited before node4\nnode 6 should be visited before node32\nnode 7 should be visited before node15\nnode 7 should be visited before node4\nnode 7 should be visited before node30\nnode 7 should be visited before node16\nnode 8 should be visited before node20\nnode 8 should be visited before node11\nnode 8 should be visited before node27\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node0\nnode 8 should be visited before node15\nnode 9 should be visited before node0\nnode 9 should be visited before node31\nnode 9 should be visited before node28\nnode 9 should be visited before node29\nnode 9 should be visited before node26\nnode 10 should be visited before node14\nnode 10 should be visited before node2\nnode 10 should be visited before node11\nnode 10 should be visited before node6\nnode 10 should be visited before node9\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node15\nnode 10 should be visited before node4\nnode 10 should be visited before node30\nnode 10 should be visited before node29\nnode 11 should be visited before node21\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 11 should be visited before node28\nnode 11 should be visited before node4\nnode 11 should be visited before node30\nnode 11 should be visited before node29\nnode 11 should be visited before node26\nnode 11 should be visited before node32\nnode 12 should be visited before node19\nnode 12 should be visited before node17\nnode 12 should be visited before node2\nnode 12 should be visited before node20\nnode 12 should be visited before node11\nnode 12 should be visited before node21\nnode 12 should be visited before node6\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node31\nnode 12 should be visited before node28\nnode 12 should be visited before node4\nnode 12 should be visited before node30\nnode 12 should be visited before node29\nnode 12 should be visited before node26\nnode 12 should be visited before node32\nnode 13 should be visited before node9\nnode 13 should be visited before node7\nnode 13 should be visited before node31\nnode 13 should be visited before node30\nnode 13 should be visited before node16\nnode 13 should be visited before node26\nnode 14 should be visited before node8\nnode 14 should be visited before node20\nnode 14 should be visited before node6\nnode 14 should be visited before node13\nnode 14 should be visited before node0\nnode 14 should be visited before node31\nnode 14 should be visited before node28\nnode 14 should be visited before node15\nnode 14 should be visited before node30\nnode 15 should be visited before node4\nnode 15 should be visited before node30\nnode 16 should be visited before node26\nnode 17 should be visited before node10\nnode 17 should be visited before node2\nnode 17 should be visited before node20\nnode 17 should be visited before node11\nnode 17 should be visited before node27\nnode 17 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node31\nnode 17 should be visited before node30\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 18 should be visited before node20\nnode 18 should be visited before node21\nnode 18 should be visited before node6\nnode 18 should be visited before node13\nnode 18 should be visited before node4\nnode 18 should be visited before node30\nnode 18 should be visited before node29\nnode 19 should be visited before node22\nnode 19 should be visited before node17\nnode 19 should be visited before node18\nnode 19 should be visited before node10\nnode 19 should be visited before node3\nnode 19 should be visited before node14\nnode 19 should be visited before node2\nnode 19 should be visited before node11\nnode 19 should be visited before node7\nnode 19 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node30\nnode 19 should be visited before node16\nnode 19 should be visited before node32\nnode 20 should be visited before node21\nnode 20 should be visited before node6\nnode 20 should be visited before node9\nnode 20 should be visited before node7\nnode 20 should be visited before node15\nnode 20 should be visited before node4\nnode 20 should be visited before node29\nnode 20 should be visited before node26\nnode 20 should be visited before node32\nnode 21 should be visited before node27\nnode 21 should be visited before node7\nnode 21 should be visited before node15\nnode 21 should be visited before node29\nnode 22 should be visited before node17\nnode 22 should be visited before node18\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 22 should be visited before node8\nnode 22 should be visited before node20\nnode 22 should be visited before node11\nnode 22 should be visited before node6\nnode 22 should be visited before node0\nnode 22 should be visited before node31\nnode 22 should be visited before node28\nnode 22 should be visited before node15\nnode 22 should be visited before node4\nnode 22 should be visited before node26\nnode 22 should be visited before node32\nnode 23 should be visited before node14\nnode 23 should be visited before node2\nnode 23 should be visited before node20\nnode 23 should be visited before node21\nnode 23 should be visited before node6\nnode 23 should be visited before node13\nnode 23 should be visited before node7\nnode 23 should be visited before node31\nnode 23 should be visited before node29\nnode 23 should be visited before node26\nnode 24 should be visited before node19\nnode 24 should be visited before node17\nnode 24 should be visited before node23\nnode 24 should be visited before node2\nnode 24 should be visited before node8\nnode 24 should be visited before node20\nnode 24 should be visited before node27\nnode 24 should be visited before node13\nnode 24 should be visited before node0\nnode 24 should be visited before node28\nnode 24 should be visited before node30\nnode 24 should be visited before node29\nnode 24 should be visited before node26\nnode 24 should be visited before node32\nnode 25 should be visited before node12\nnode 25 should be visited before node1\nnode 25 should be visited before node5\nnode 25 should be visited before node17\nnode 25 should be visited before node23\nnode 25 should be visited before node11\nnode 25 should be visited before node21\nnode 25 should be visited before node27\nnode 25 should be visited before node13\nnode 25 should be visited before node7\nnode 25 should be visited before node31\nnode 25 should be visited before node16\nnode 25 should be visited before node26\nnode 25 should be visited before node32\nnode 26 should be visited before node32\nnode 27 should be visited before node6\nnode 27 should be visited before node13\nnode 27 should be visited before node9\nnode 27 should be visited before node7\nnode 27 should be visited before node0\nnode 27 should be visited before node16\nnode 27 should be visited before node26\nnode 27 should be visited before node32\nnode 28 should be visited before node4\nnode 28 should be visited before node32\nnode 29 should be visited before node32\nnode 30 should be visited before node16\nnode 30 should be visited before node26\nnode 30 should be visited before node32\nnode 31 should be visited before node28\nnode 31 should be visited before node15\nnode 31 should be visited before node4\nnode 31 should be visited before node29\nnode 31 should be visited before node26\nnode 31 should be visited before node32\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "24,25,12,1,5,19,22,17,18,23,10,3,2,14,8,20,11,21,27,6,13,9,7,0,31,28,15,4,30,29,16,26,32."
            }
        ]
    },
    {
        "id": "topology-hard-graph135",
        "image": "data/topology/graph_visual/hard/graph135.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 0 should be visited before node1\nnode 0 should be visited before node20\nnode 1 should be visited before node23\nnode 1 should be visited before node20\nnode 2 should be visited before node11\nnode 2 should be visited before node1\nnode 2 should be visited before node23\nnode 4 should be visited before node18\nnode 4 should be visited before node21\nnode 4 should be visited before node11\nnode 4 should be visited before node3\nnode 4 should be visited before node23\nnode 4 should be visited before node20\nnode 6 should be visited before node12\nnode 6 should be visited before node22\nnode 6 should be visited before node21\nnode 6 should be visited before node2\nnode 6 should be visited before node11\nnode 6 should be visited before node19\nnode 7 should be visited before node3\nnode 7 should be visited before node23\nnode 7 should be visited before node20\nnode 8 should be visited before node0\nnode 8 should be visited before node21\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node11\nnode 8 should be visited before node19\nnode 8 should be visited before node1\nnode 9 should be visited before node18\nnode 9 should be visited before node13\nnode 9 should be visited before node23\nnode 9 should be visited before node25\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node20\nnode 11 should be visited before node19\nnode 11 should be visited before node20\nnode 12 should be visited before node0\nnode 12 should be visited before node13\nnode 12 should be visited before node2\nnode 14 should be visited before node2\nnode 14 should be visited before node5\nnode 14 should be visited before node23\nnode 14 should be visited before node25\nnode 15 should be visited before node24\nnode 16 should be visited before node9\nnode 16 should be visited before node4\nnode 16 should be visited before node26\nnode 16 should be visited before node13\nnode 16 should be visited before node10\nnode 16 should be visited before node19\nnode 16 should be visited before node1\nnode 17 should be visited before node22\nnode 17 should be visited before node9\nnode 17 should be visited before node8\nnode 17 should be visited before node0\nnode 17 should be visited before node24\nnode 17 should be visited before node13\nnode 17 should be visited before node2\nnode 17 should be visited before node19\nnode 18 should be visited before node21\nnode 18 should be visited before node14\nnode 18 should be visited before node10\nnode 18 should be visited before node19\nnode 18 should be visited before node3\nnode 18 should be visited before node23\nnode 18 should be visited before node25\nnode 19 should be visited before node3\nnode 19 should be visited before node23\nnode 21 should be visited before node14\nnode 21 should be visited before node7\nnode 21 should be visited before node5\nnode 21 should be visited before node3\nnode 22 should be visited before node21\nnode 22 should be visited before node15\nnode 22 should be visited before node10\nnode 22 should be visited before node2\nnode 22 should be visited before node11\nnode 22 should be visited before node19\nnode 22 should be visited before node25\nnode 24 should be visited before node11\nnode 24 should be visited before node3\nnode 26 should be visited before node21\nnode 26 should be visited before node15\nnode 26 should be visited before node24\nnode 26 should be visited before node10\nnode 26 should be visited before node2\nnode 26 should be visited before node5\nnode 26 should be visited before node1\nnode 26 should be visited before node20\nnode 26 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "6,16,17,12,4,26,22,9,8,18,13,0,21,10,15,14,7,24,2,5,25,11,1,19,20,3,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph784",
        "image": "data/topology/graph_visual/hard/graph784.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node23\nnode 0 should be visited before node3\nnode 0 should be visited before node5\nnode 0 should be visited before node30\nnode 1 should be visited before node12\nnode 1 should be visited before node27\nnode 1 should be visited before node20\nnode 1 should be visited before node2\nnode 1 should be visited before node21\nnode 1 should be visited before node22\nnode 1 should be visited before node8\nnode 1 should be visited before node24\nnode 1 should be visited before node15\nnode 1 should be visited before node10\nnode 1 should be visited before node31\nnode 1 should be visited before node16\nnode 1 should be visited before node0\nnode 1 should be visited before node9\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 2 should be visited before node7\nnode 2 should be visited before node18\nnode 2 should be visited before node22\nnode 2 should be visited before node24\nnode 2 should be visited before node10\nnode 2 should be visited before node31\nnode 2 should be visited before node16\nnode 2 should be visited before node29\nnode 2 should be visited before node19\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node26\nnode 2 should be visited before node30\nnode 3 should be visited before node6\nnode 3 should be visited before node26\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node27\nnode 4 should be visited before node21\nnode 4 should be visited before node7\nnode 4 should be visited before node22\nnode 4 should be visited before node24\nnode 4 should be visited before node15\nnode 4 should be visited before node19\nnode 4 should be visited before node13\nnode 4 should be visited before node0\nnode 4 should be visited before node23\nnode 4 should be visited before node26\nnode 6 should be visited before node30\nnode 7 should be visited before node18\nnode 7 should be visited before node22\nnode 7 should be visited before node8\nnode 7 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node31\nnode 7 should be visited before node29\nnode 7 should be visited before node9\nnode 7 should be visited before node23\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 7 should be visited before node26\nnode 8 should be visited before node28\nnode 8 should be visited before node10\nnode 8 should be visited before node31\nnode 8 should be visited before node29\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 9 should be visited before node23\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node26\nnode 10 should be visited before node16\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node23\nnode 10 should be visited before node5\nnode 10 should be visited before node26\nnode 11 should be visited before node27\nnode 11 should be visited before node21\nnode 11 should be visited before node7\nnode 11 should be visited before node8\nnode 11 should be visited before node31\nnode 11 should be visited before node16\nnode 11 should be visited before node29\nnode 11 should be visited before node13\nnode 11 should be visited before node0\nnode 11 should be visited before node9\nnode 11 should be visited before node3\nnode 11 should be visited before node6\nnode 11 should be visited before node5\nnode 11 should be visited before node26\nnode 11 should be visited before node30\nnode 12 should be visited before node11\nnode 12 should be visited before node20\nnode 12 should be visited before node2\nnode 12 should be visited before node21\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node31\nnode 12 should be visited before node29\nnode 12 should be visited before node19\nnode 12 should be visited before node0\nnode 12 should be visited before node9\nnode 12 should be visited before node23\nnode 12 should be visited before node3\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node26\nnode 13 should be visited before node9\nnode 13 should be visited before node23\nnode 13 should be visited before node5\nnode 13 should be visited before node26\nnode 13 should be visited before node30\nnode 14 should be visited before node1\nnode 14 should be visited before node11\nnode 14 should be visited before node27\nnode 14 should be visited before node2\nnode 14 should be visited before node21\nnode 14 should be visited before node7\nnode 14 should be visited before node18\nnode 14 should be visited before node8\nnode 14 should be visited before node28\nnode 14 should be visited before node24\nnode 14 should be visited before node10\nnode 14 should be visited before node16\nnode 14 should be visited before node13\nnode 14 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node5\nnode 14 should be visited before node26\nnode 15 should be visited before node16\nnode 15 should be visited before node29\nnode 15 should be visited before node19\nnode 15 should be visited before node13\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node23\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 16 should be visited before node29\nnode 16 should be visited before node19\nnode 16 should be visited before node5\nnode 17 should be visited before node25\nnode 17 should be visited before node11\nnode 17 should be visited before node27\nnode 17 should be visited before node21\nnode 17 should be visited before node7\nnode 17 should be visited before node18\nnode 17 should be visited before node22\nnode 17 should be visited before node8\nnode 17 should be visited before node15\nnode 17 should be visited before node16\nnode 17 should be visited before node0\nnode 17 should be visited before node9\nnode 17 should be visited before node3\nnode 17 should be visited before node6\nnode 17 should be visited before node30\nnode 18 should be visited before node28\nnode 18 should be visited before node15\nnode 18 should be visited before node31\nnode 18 should be visited before node13\nnode 18 should be visited before node0\nnode 18 should be visited before node9\nnode 18 should be visited before node26\nnode 19 should be visited before node13\nnode 19 should be visited before node0\nnode 19 should be visited before node23\nnode 19 should be visited before node5\nnode 19 should be visited before node26\nnode 20 should be visited before node21\nnode 20 should be visited before node7\nnode 20 should be visited before node18\nnode 20 should be visited before node22\nnode 20 should be visited before node28\nnode 20 should be visited before node24\nnode 20 should be visited before node15\nnode 20 should be visited before node16\nnode 20 should be visited before node29\nnode 20 should be visited before node19\nnode 20 should be visited before node9\nnode 20 should be visited before node3\nnode 20 should be visited before node30\nnode 21 should be visited before node18\nnode 21 should be visited before node22\nnode 21 should be visited before node19\nnode 21 should be visited before node9\nnode 21 should be visited before node23\nnode 21 should be visited before node6\nnode 22 should be visited before node8\nnode 22 should be visited before node28\nnode 22 should be visited before node16\nnode 22 should be visited before node29\nnode 22 should be visited before node19\nnode 22 should be visited before node23\nnode 22 should be visited before node3\nnode 22 should be visited before node6\nnode 22 should be visited before node26\nnode 23 should be visited before node3\nnode 23 should be visited before node5\nnode 23 should be visited before node26\nnode 24 should be visited before node15\nnode 24 should be visited before node10\nnode 24 should be visited before node31\nnode 24 should be visited before node16\nnode 24 should be visited before node29\nnode 24 should be visited before node19\nnode 24 should be visited before node13\nnode 24 should be visited before node0\nnode 24 should be visited before node9\nnode 24 should be visited before node6\nnode 24 should be visited before node5\nnode 25 should be visited before node11\nnode 25 should be visited before node20\nnode 25 should be visited before node18\nnode 25 should be visited before node22\nnode 25 should be visited before node28\nnode 25 should be visited before node24\nnode 25 should be visited before node15\nnode 25 should be visited before node31\nnode 25 should be visited before node16\nnode 25 should be visited before node29\nnode 25 should be visited before node19\nnode 25 should be visited before node0\nnode 25 should be visited before node9\nnode 25 should be visited before node3\nnode 25 should be visited before node5\nnode 25 should be visited before node26\nnode 26 should be visited before node30\nnode 27 should be visited before node21\nnode 27 should be visited before node7\nnode 27 should be visited before node8\nnode 27 should be visited before node24\nnode 27 should be visited before node19\nnode 27 should be visited before node0\nnode 27 should be visited before node23\nnode 27 should be visited before node6\nnode 27 should be visited before node5\nnode 27 should be visited before node30\nnode 28 should be visited before node15\nnode 28 should be visited before node29\nnode 28 should be visited before node19\nnode 28 should be visited before node13\nnode 28 should be visited before node0\nnode 28 should be visited before node9\nnode 28 should be visited before node23\nnode 28 should be visited before node3\nnode 28 should be visited before node5\nnode 28 should be visited before node26\nnode 29 should be visited before node13\nnode 29 should be visited before node3\nnode 29 should be visited before node5\nnode 31 should be visited before node16\nnode 31 should be visited before node29\nnode 31 should be visited before node13\nnode 31 should be visited before node0\nnode 31 should be visited before node23\nnode 31 should be visited before node3\nnode 31 should be visited before node6\nnode 31 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,17,14,25,1,12,11,20,2,27,21,7,24,18,22,8,28,10,31,15,16,29,19,13,0,9,23,3,5,6,26,30."
            }
        ]
    },
    {
        "id": "topology-hard-graph99",
        "image": "data/topology/graph_visual/hard/graph99.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node21\nnode 0 should be visited before node14\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 0 should be visited before node16\nnode 0 should be visited before node19\nnode 0 should be visited before node11\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node16\nnode 1 should be visited before node9\nnode 1 should be visited before node20\nnode 1 should be visited before node4\nnode 2 should be visited before node6\nnode 2 should be visited before node10\nnode 2 should be visited before node16\nnode 2 should be visited before node22\nnode 2 should be visited before node20\nnode 2 should be visited before node4\nnode 2 should be visited before node11\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 3 should be visited before node22\nnode 3 should be visited before node20\nnode 3 should be visited before node19\nnode 3 should be visited before node4\nnode 4 should be visited before node11\nnode 5 should be visited before node21\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node22\nnode 5 should be visited before node11\nnode 6 should be visited before node0\nnode 6 should be visited before node18\nnode 6 should be visited before node21\nnode 6 should be visited before node14\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 6 should be visited before node7\nnode 6 should be visited before node8\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 6 should be visited before node20\nnode 6 should be visited before node11\nnode 7 should be visited before node8\nnode 7 should be visited before node22\nnode 7 should be visited before node20\nnode 7 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node19\nnode 8 should be visited before node4\nnode 9 should be visited before node22\nnode 10 should be visited before node8\nnode 10 should be visited before node16\nnode 10 should be visited before node20\nnode 10 should be visited before node19\nnode 10 should be visited before node4\nnode 10 should be visited before node11\nnode 12 should be visited before node17\nnode 12 should be visited before node23\nnode 12 should be visited before node5\nnode 12 should be visited before node2\nnode 12 should be visited before node18\nnode 12 should be visited before node21\nnode 12 should be visited before node3\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node22\nnode 12 should be visited before node19\nnode 12 should be visited before node4\nnode 12 should be visited before node11\nnode 13 should be visited before node7\nnode 13 should be visited before node8\nnode 13 should be visited before node9\nnode 13 should be visited before node22\nnode 13 should be visited before node20\nnode 13 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node7\nnode 14 should be visited before node16\nnode 14 should be visited before node9\nnode 14 should be visited before node20\nnode 15 should be visited before node17\nnode 15 should be visited before node25\nnode 15 should be visited before node5\nnode 15 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node18\nnode 15 should be visited before node3\nnode 15 should be visited before node10\nnode 15 should be visited before node7\nnode 15 should be visited before node20\nnode 15 should be visited before node19\nnode 16 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node20\nnode 16 should be visited before node19\nnode 16 should be visited before node4\nnode 17 should be visited before node24\nnode 17 should be visited before node25\nnode 17 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node14\nnode 17 should be visited before node10\nnode 17 should be visited before node7\nnode 17 should be visited before node8\nnode 17 should be visited before node16\nnode 17 should be visited before node20\nnode 17 should be visited before node19\nnode 17 should be visited before node11\nnode 18 should be visited before node10\nnode 18 should be visited before node13\nnode 18 should be visited before node22\nnode 18 should be visited before node11\nnode 19 should be visited before node4\nnode 19 should be visited before node11\nnode 20 should be visited before node19\nnode 20 should be visited before node4\nnode 20 should be visited before node11\nnode 21 should be visited before node3\nnode 21 should be visited before node1\nnode 21 should be visited before node14\nnode 21 should be visited before node7\nnode 21 should be visited before node8\nnode 21 should be visited before node16\nnode 21 should be visited before node9\nnode 21 should be visited before node20\nnode 21 should be visited before node11\nnode 22 should be visited before node19\nnode 22 should be visited before node11\nnode 23 should be visited before node5\nnode 23 should be visited before node6\nnode 23 should be visited before node13\nnode 23 should be visited before node16\nnode 23 should be visited before node20\nnode 23 should be visited before node4\nnode 23 should be visited before node11\nnode 24 should be visited before node25\nnode 24 should be visited before node5\nnode 24 should be visited before node18\nnode 24 should be visited before node3\nnode 24 should be visited before node14\nnode 24 should be visited before node8\nnode 24 should be visited before node9\nnode 24 should be visited before node20\nnode 24 should be visited before node4\nnode 24 should be visited before node11\nnode 25 should be visited before node5\nnode 25 should be visited before node2\nnode 25 should be visited before node6\nnode 25 should be visited before node0\nnode 25 should be visited before node18\nnode 25 should be visited before node1\nnode 25 should be visited before node10\nnode 25 should be visited before node13\nnode 25 should be visited before node7\nnode 25 should be visited before node16\nnode 25 should be visited before node22\nnode 25 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,15,23,17,24,25,5,2,6,0,18,21,3,1,14,13,10,7,16,8,9,20,22,19,4,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph221",
        "image": "data/topology/graph_visual/hard/graph221.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node6\nnode 0 should be visited before node21\nnode 0 should be visited before node1\nnode 0 should be visited before node4\nnode 0 should be visited before node3\nnode 0 should be visited before node17\nnode 0 should be visited before node20\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 0 should be visited before node25\nnode 1 should be visited before node4\nnode 1 should be visited before node3\nnode 1 should be visited before node7\nnode 1 should be visited before node20\nnode 1 should be visited before node14\nnode 1 should be visited before node15\nnode 1 should be visited before node25\nnode 2 should be visited before node5\nnode 2 should be visited before node0\nnode 2 should be visited before node4\nnode 2 should be visited before node3\nnode 2 should be visited before node14\nnode 2 should be visited before node15\nnode 3 should be visited before node7\nnode 3 should be visited before node14\nnode 3 should be visited before node24\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 3 should be visited before node25\nnode 4 should be visited before node17\nnode 4 should be visited before node20\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node15\nnode 4 should be visited before node25\nnode 5 should be visited before node23\nnode 5 should be visited before node26\nnode 5 should be visited before node9\nnode 5 should be visited before node22\nnode 5 should be visited before node16\nnode 5 should be visited before node13\nnode 5 should be visited before node17\nnode 5 should be visited before node7\nnode 5 should be visited before node20\nnode 5 should be visited before node24\nnode 5 should be visited before node11\nnode 5 should be visited before node25\nnode 6 should be visited before node21\nnode 6 should be visited before node26\nnode 6 should be visited before node19\nnode 6 should be visited before node22\nnode 6 should be visited before node16\nnode 6 should be visited before node20\nnode 6 should be visited before node14\nnode 6 should be visited before node24\nnode 6 should be visited before node11\nnode 6 should be visited before node15\nnode 6 should be visited before node25\nnode 7 should be visited before node24\nnode 7 should be visited before node11\nnode 8 should be visited before node0\nnode 8 should be visited before node23\nnode 8 should be visited before node6\nnode 8 should be visited before node22\nnode 8 should be visited before node1\nnode 8 should be visited before node13\nnode 8 should be visited before node4\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 8 should be visited before node20\nnode 8 should be visited before node14\nnode 8 should be visited before node25\nnode 9 should be visited before node22\nnode 9 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node7\nnode 9 should be visited before node14\nnode 9 should be visited before node15\nnode 10 should be visited before node23\nnode 10 should be visited before node21\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node4\nnode 10 should be visited before node3\nnode 10 should be visited before node17\nnode 10 should be visited before node7\nnode 10 should be visited before node20\nnode 10 should be visited before node14\nnode 10 should be visited before node15\nnode 10 should be visited before node25\nnode 11 should be visited before node15\nnode 12 should be visited before node2\nnode 12 should be visited before node10\nnode 12 should be visited before node0\nnode 12 should be visited before node23\nnode 12 should be visited before node6\nnode 12 should be visited before node9\nnode 12 should be visited before node22\nnode 12 should be visited before node1\nnode 12 should be visited before node4\nnode 12 should be visited before node17\nnode 12 should be visited before node7\nnode 12 should be visited before node20\nnode 12 should be visited before node14\nnode 12 should be visited before node24\nnode 12 should be visited before node15\nnode 13 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node20\nnode 13 should be visited before node14\nnode 13 should be visited before node11\nnode 13 should be visited before node15\nnode 13 should be visited before node25\nnode 14 should be visited before node24\nnode 14 should be visited before node15\nnode 14 should be visited before node25\nnode 16 should be visited before node13\nnode 16 should be visited before node20\nnode 16 should be visited before node24\nnode 16 should be visited before node25\nnode 17 should be visited before node11\nnode 18 should be visited before node5\nnode 18 should be visited before node10\nnode 18 should be visited before node0\nnode 18 should be visited before node26\nnode 18 should be visited before node19\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node13\nnode 18 should be visited before node3\nnode 18 should be visited before node7\nnode 18 should be visited before node14\nnode 19 should be visited before node9\nnode 19 should be visited before node1\nnode 19 should be visited before node16\nnode 19 should be visited before node7\nnode 19 should be visited before node20\nnode 19 should be visited before node14\nnode 20 should be visited before node24\nnode 20 should be visited before node25\nnode 21 should be visited before node19\nnode 21 should be visited before node9\nnode 21 should be visited before node22\nnode 21 should be visited before node16\nnode 21 should be visited before node13\nnode 21 should be visited before node3\nnode 21 should be visited before node20\nnode 21 should be visited before node14\nnode 21 should be visited before node24\nnode 22 should be visited before node1\nnode 22 should be visited before node16\nnode 22 should be visited before node4\nnode 22 should be visited before node17\nnode 22 should be visited before node20\nnode 22 should be visited before node24\nnode 22 should be visited before node11\nnode 23 should be visited before node26\nnode 23 should be visited before node16\nnode 23 should be visited before node13\nnode 23 should be visited before node4\nnode 23 should be visited before node17\nnode 23 should be visited before node20\nnode 23 should be visited before node24\nnode 23 should be visited before node11\nnode 24 should be visited before node15\nnode 24 should be visited before node25\nnode 26 should be visited before node1\nnode 26 should be visited before node16\nnode 26 should be visited before node20\nnode 26 should be visited before node24\nnode 26 should be visited before node15\nnode 26 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,12,18,2,10,5,0,23,6,21,26,19,9,22,1,16,4,13,17,3,20,7,14,11,24,15,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph215",
        "image": "data/topology/graph_visual/hard/graph215.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node5\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node8\nnode 0 should be visited before node15\nnode 0 should be visited before node4\nnode 0 should be visited before node6\nnode 0 should be visited before node2\nnode 0 should be visited before node10\nnode 0 should be visited before node17\nnode 0 should be visited before node1\nnode 2 should be visited before node17\nnode 2 should be visited before node22\nnode 2 should be visited before node1\nnode 2 should be visited before node20\nnode 3 should be visited before node15\nnode 3 should be visited before node4\nnode 3 should be visited before node16\nnode 3 should be visited before node6\nnode 3 should be visited before node17\nnode 3 should be visited before node9\nnode 3 should be visited before node20\nnode 4 should be visited before node16\nnode 4 should be visited before node6\nnode 4 should be visited before node17\nnode 4 should be visited before node14\nnode 4 should be visited before node22\nnode 4 should be visited before node1\nnode 4 should be visited before node20\nnode 5 should be visited before node13\nnode 5 should be visited before node18\nnode 5 should be visited before node25\nnode 5 should be visited before node4\nnode 5 should be visited before node16\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node17\nnode 5 should be visited before node22\nnode 5 should be visited before node20\nnode 6 should be visited before node10\nnode 6 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node9\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node13\nnode 7 should be visited before node21\nnode 7 should be visited before node18\nnode 7 should be visited before node12\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node14\nnode 7 should be visited before node22\nnode 7 should be visited before node1\nnode 8 should be visited before node3\nnode 8 should be visited before node15\nnode 8 should be visited before node24\nnode 8 should be visited before node16\nnode 8 should be visited before node6\nnode 8 should be visited before node17\nnode 8 should be visited before node1\nnode 8 should be visited before node9\nnode 9 should be visited before node20\nnode 10 should be visited before node17\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 11 should be visited before node23\nnode 11 should be visited before node21\nnode 11 should be visited before node8\nnode 11 should be visited before node18\nnode 11 should be visited before node25\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node24\nnode 11 should be visited before node6\nnode 11 should be visited before node9\nnode 11 should be visited before node20\nnode 12 should be visited before node17\nnode 12 should be visited before node14\nnode 12 should be visited before node22\nnode 12 should be visited before node9\nnode 12 should be visited before node20\nnode 13 should be visited before node21\nnode 13 should be visited before node12\nnode 13 should be visited before node3\nnode 13 should be visited before node15\nnode 13 should be visited before node4\nnode 13 should be visited before node17\nnode 13 should be visited before node1\nnode 13 should be visited before node20\nnode 14 should be visited before node1\nnode 14 should be visited before node9\nnode 14 should be visited before node20\nnode 15 should be visited before node4\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node20\nnode 16 should be visited before node10\nnode 16 should be visited before node17\nnode 16 should be visited before node1\nnode 16 should be visited before node20\nnode 17 should be visited before node22\nnode 17 should be visited before node1\nnode 17 should be visited before node9\nnode 18 should be visited before node3\nnode 18 should be visited before node6\nnode 18 should be visited before node2\nnode 18 should be visited before node10\nnode 18 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node11\nnode 19 should be visited before node18\nnode 19 should be visited before node25\nnode 19 should be visited before node3\nnode 19 should be visited before node15\nnode 19 should be visited before node16\nnode 19 should be visited before node6\nnode 19 should be visited before node14\nnode 19 should be visited before node22\nnode 21 should be visited before node12\nnode 21 should be visited before node15\nnode 21 should be visited before node14\nnode 21 should be visited before node20\nnode 22 should be visited before node9\nnode 23 should be visited before node13\nnode 23 should be visited before node21\nnode 23 should be visited before node8\nnode 23 should be visited before node25\nnode 23 should be visited before node15\nnode 23 should be visited before node24\nnode 23 should be visited before node2\nnode 23 should be visited before node17\nnode 23 should be visited before node22\nnode 23 should be visited before node1\nnode 24 should be visited before node16\nnode 24 should be visited before node6\nnode 24 should be visited before node2\nnode 24 should be visited before node14\nnode 24 should be visited before node22\nnode 24 should be visited before node9\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 25 should be visited before node24\nnode 25 should be visited before node16\nnode 25 should be visited before node2\nnode 25 should be visited before node14\nnode 25 should be visited before node1\nnode 26 should be visited before node7\nnode 26 should be visited before node0\nnode 26 should be visited before node23\nnode 26 should be visited before node5\nnode 26 should be visited before node21\nnode 26 should be visited before node18\nnode 26 should be visited before node12\nnode 26 should be visited before node4\nnode 26 should be visited before node24\nnode 26 should be visited before node16\nnode 26 should be visited before node6\nnode 26 should be visited before node10\nnode 26 should be visited before node17\nnode 26 should be visited before node22\nnode 26 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,26,11,7,23,0,5,8,13,18,25,21,3,24,12,15,2,4,16,6,10,14,17,22,1,9,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph251",
        "image": "data/topology/graph_visual/hard/graph251.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node3\nnode 0 should be visited before node13\nnode 0 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node18\nnode 1 should be visited before node17\nnode 3 should be visited before node13\nnode 3 should be visited before node17\nnode 3 should be visited before node23\nnode 3 should be visited before node8\nnode 3 should be visited before node24\nnode 3 should be visited before node22\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 4 should be visited before node8\nnode 4 should be visited before node22\nnode 5 should be visited before node20\nnode 5 should be visited before node24\nnode 6 should be visited before node9\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node16\nnode 6 should be visited before node23\nnode 6 should be visited before node8\nnode 6 should be visited before node22\nnode 6 should be visited before node2\nnode 7 should be visited before node27\nnode 7 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node13\nnode 9 should be visited before node5\nnode 9 should be visited before node17\nnode 9 should be visited before node19\nnode 10 should be visited before node6\nnode 10 should be visited before node9\nnode 10 should be visited before node19\nnode 10 should be visited before node20\nnode 10 should be visited before node21\nnode 10 should be visited before node22\nnode 11 should be visited before node12\nnode 11 should be visited before node3\nnode 11 should be visited before node4\nnode 11 should be visited before node5\nnode 11 should be visited before node27\nnode 11 should be visited before node19\nnode 12 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node19\nnode 13 should be visited before node26\nnode 13 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node25\nnode 13 should be visited before node19\nnode 13 should be visited before node22\nnode 14 should be visited before node9\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node7\nnode 14 should be visited before node27\nnode 14 should be visited before node18\nnode 14 should be visited before node25\nnode 14 should be visited before node20\nnode 14 should be visited before node22\nnode 15 should be visited before node10\nnode 15 should be visited before node4\nnode 15 should be visited before node1\nnode 15 should be visited before node7\nnode 15 should be visited before node26\nnode 15 should be visited before node19\nnode 15 should be visited before node22\nnode 16 should be visited before node20\nnode 16 should be visited before node24\nnode 17 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node24\nnode 18 should be visited before node22\nnode 19 should be visited before node2\nnode 20 should be visited before node24\nnode 22 should be visited before node2\nnode 23 should be visited before node8\nnode 23 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node22\nnode 23 should be visited before node2\nnode 25 should be visited before node8\nnode 25 should be visited before node24\nnode 25 should be visited before node2\nnode 26 should be visited before node16\nnode 26 should be visited before node19\nnode 26 should be visited before node20\nnode 27 should be visited before node17\nnode 27 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,14,15,12,10,1,6,18,9,0,4,7,5,3,27,13,23,26,17,25,21,22,16,19,8,20,2,24."
            }
        ]
    },
    {
        "id": "topology-hard-graph651",
        "image": "data/topology/graph_visual/hard/graph651.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node25\nnode 0 should be visited before node30\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node20\nnode 0 should be visited before node9\nnode 0 should be visited before node19\nnode 1 should be visited before node0\nnode 1 should be visited before node7\nnode 2 should be visited before node29\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 2 should be visited before node19\nnode 3 should be visited before node25\nnode 3 should be visited before node17\nnode 3 should be visited before node5\nnode 3 should be visited before node7\nnode 3 should be visited before node20\nnode 3 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node13\nnode 6 should be visited before node24\nnode 6 should be visited before node0\nnode 6 should be visited before node2\nnode 6 should be visited before node29\nnode 6 should be visited before node13\nnode 6 should be visited before node19\nnode 8 should be visited before node25\nnode 8 should be visited before node5\nnode 8 should be visited before node13\nnode 8 should be visited before node20\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 9 should be visited before node19\nnode 9 should be visited before node4\nnode 10 should be visited before node19\nnode 10 should be visited before node12\nnode 11 should be visited before node27\nnode 11 should be visited before node22\nnode 11 should be visited before node26\nnode 11 should be visited before node6\nnode 11 should be visited before node24\nnode 11 should be visited before node0\nnode 11 should be visited before node10\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 11 should be visited before node12\nnode 12 should be visited before node4\nnode 13 should be visited before node9\nnode 13 should be visited before node12\nnode 13 should be visited before node4\nnode 14 should be visited before node15\nnode 14 should be visited before node26\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node25\nnode 14 should be visited before node29\nnode 14 should be visited before node7\nnode 14 should be visited before node13\nnode 14 should be visited before node20\nnode 14 should be visited before node12\nnode 15 should be visited before node3\nnode 15 should be visited before node1\nnode 15 should be visited before node10\nnode 15 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node18\nnode 16 should be visited before node3\nnode 16 should be visited before node24\nnode 16 should be visited before node0\nnode 16 should be visited before node25\nnode 16 should be visited before node2\nnode 16 should be visited before node10\nnode 16 should be visited before node5\nnode 17 should be visited before node29\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node7\nnode 17 should be visited before node13\nnode 17 should be visited before node19\nnode 17 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node17\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 18 should be visited before node4\nnode 19 should be visited before node4\nnode 20 should be visited before node12\nnode 21 should be visited before node8\nnode 21 should be visited before node30\nnode 21 should be visited before node2\nnode 21 should be visited before node17\nnode 21 should be visited before node9\nnode 22 should be visited before node15\nnode 22 should be visited before node18\nnode 22 should be visited before node3\nnode 22 should be visited before node21\nnode 22 should be visited before node26\nnode 22 should be visited before node30\nnode 22 should be visited before node2\nnode 22 should be visited before node7\nnode 22 should be visited before node20\nnode 23 should be visited before node26\nnode 23 should be visited before node1\nnode 23 should be visited before node6\nnode 23 should be visited before node30\nnode 23 should be visited before node29\nnode 23 should be visited before node10\nnode 23 should be visited before node13\nnode 23 should be visited before node20\nnode 23 should be visited before node9\nnode 23 should be visited before node19\nnode 23 should be visited before node4\nnode 24 should be visited before node0\nnode 24 should be visited before node25\nnode 24 should be visited before node29\nnode 24 should be visited before node20\nnode 24 should be visited before node12\nnode 24 should be visited before node4\nnode 25 should be visited before node30\nnode 25 should be visited before node29\nnode 25 should be visited before node5\nnode 25 should be visited before node20\nnode 25 should be visited before node9\nnode 25 should be visited before node12\nnode 26 should be visited before node8\nnode 26 should be visited before node0\nnode 26 should be visited before node25\nnode 26 should be visited before node2\nnode 26 should be visited before node13\nnode 26 should be visited before node20\nnode 26 should be visited before node12\nnode 27 should be visited before node15\nnode 27 should be visited before node18\nnode 27 should be visited before node21\nnode 27 should be visited before node0\nnode 27 should be visited before node30\nnode 27 should be visited before node17\nnode 27 should be visited before node29\nnode 27 should be visited before node5\nnode 27 should be visited before node20\nnode 27 should be visited before node19\nnode 27 should be visited before node12\nnode 28 should be visited before node14\nnode 28 should be visited before node24\nnode 28 should be visited before node0\nnode 28 should be visited before node7\nnode 28 should be visited before node13\nnode 28 should be visited before node20\nnode 28 should be visited before node12\nnode 29 should be visited before node13\nnode 30 should be visited before node19\nnode 30 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,16,23,28,27,22,14,18,21,15,26,6,3,1,8,24,17,0,10,25,2,30,5,20,29,7,13,9,12,19,4."
            }
        ]
    },
    {
        "id": "topology-hard-graph17",
        "image": "data/topology/graph_visual/hard/graph17.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node8\nnode 1 should be visited before node14\nnode 1 should be visited before node17\nnode 1 should be visited before node11\nnode 2 should be visited before node0\nnode 3 should be visited before node22\nnode 3 should be visited before node1\nnode 3 should be visited before node18\nnode 3 should be visited before node16\nnode 3 should be visited before node8\nnode 4 should be visited before node16\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 5 should be visited before node3\nnode 5 should be visited before node22\nnode 5 should be visited before node6\nnode 5 should be visited before node18\nnode 5 should be visited before node17\nnode 5 should be visited before node0\nnode 5 should be visited before node11\nnode 5 should be visited before node8\nnode 6 should be visited before node12\nnode 6 should be visited before node18\nnode 6 should be visited before node17\nnode 6 should be visited before node0\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node21\nnode 7 should be visited before node23\nnode 7 should be visited before node5\nnode 7 should be visited before node14\nnode 7 should be visited before node18\nnode 7 should be visited before node17\nnode 9 should be visited before node22\nnode 9 should be visited before node1\nnode 9 should be visited before node2\nnode 9 should be visited before node17\nnode 9 should be visited before node8\nnode 10 should be visited before node25\nnode 10 should be visited before node7\nnode 10 should be visited before node20\nnode 10 should be visited before node15\nnode 10 should be visited before node24\nnode 10 should be visited before node3\nnode 10 should be visited before node22\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node18\nnode 10 should be visited before node4\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 12 should be visited before node11\nnode 13 should be visited before node19\nnode 13 should be visited before node21\nnode 13 should be visited before node5\nnode 13 should be visited before node3\nnode 13 should be visited before node22\nnode 13 should be visited before node14\nnode 13 should be visited before node12\nnode 13 should be visited before node18\nnode 13 should be visited before node4\nnode 13 should be visited before node2\nnode 14 should be visited before node12\nnode 15 should be visited before node24\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 16 should be visited before node11\nnode 17 should be visited before node11\nnode 18 should be visited before node4\nnode 19 should be visited before node23\nnode 19 should be visited before node5\nnode 19 should be visited before node3\nnode 19 should be visited before node22\nnode 19 should be visited before node14\nnode 19 should be visited before node12\nnode 19 should be visited before node2\nnode 19 should be visited before node11\nnode 20 should be visited before node15\nnode 20 should be visited before node22\nnode 20 should be visited before node6\nnode 20 should be visited before node14\nnode 20 should be visited before node0\nnode 20 should be visited before node11\nnode 21 should be visited before node15\nnode 21 should be visited before node3\nnode 21 should be visited before node1\nnode 21 should be visited before node6\nnode 21 should be visited before node2\nnode 22 should be visited before node1\nnode 22 should be visited before node18\nnode 22 should be visited before node16\nnode 22 should be visited before node11\nnode 23 should be visited before node15\nnode 23 should be visited before node5\nnode 23 should be visited before node24\nnode 23 should be visited before node18\nnode 24 should be visited before node3\nnode 24 should be visited before node22\nnode 24 should be visited before node16\nnode 25 should be visited before node19\nnode 25 should be visited before node9\nnode 25 should be visited before node23\nnode 25 should be visited before node12\nnode 25 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,13,25,7,19,20,9,21,23,2,15,5,24,6,3,0,22,1,18,14,17,4,12,16,8,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph1082",
        "image": "data/topology/graph_visual/hard/graph1082.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 1 should be visited before node12\nnode 1 should be visited before node11\nnode 1 should be visited before node33\nnode 1 should be visited before node31\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node30\nnode 2 should be visited before node29\nnode 2 should be visited before node8\nnode 2 should be visited before node12\nnode 2 should be visited before node9\nnode 2 should be visited before node11\nnode 2 should be visited before node31\nnode 2 should be visited before node23\nnode 2 should be visited before node3\nnode 2 should be visited before node26\nnode 2 should be visited before node25\nnode 2 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node20\nnode 2 should be visited before node34\nnode 2 should be visited before node13\nnode 2 should be visited before node30\nnode 2 should be visited before node0\nnode 3 should be visited before node25\nnode 3 should be visited before node28\nnode 3 should be visited before node20\nnode 3 should be visited before node34\nnode 3 should be visited before node13\nnode 3 should be visited before node4\nnode 4 should be visited before node0\nnode 5 should be visited before node20\nnode 5 should be visited before node24\nnode 6 should be visited before node26\nnode 6 should be visited before node15\nnode 6 should be visited before node20\nnode 6 should be visited before node34\nnode 6 should be visited before node13\nnode 6 should be visited before node16\nnode 6 should be visited before node0\nnode 8 should be visited before node10\nnode 8 should be visited before node22\nnode 8 should be visited before node26\nnode 8 should be visited before node25\nnode 8 should be visited before node15\nnode 8 should be visited before node5\nnode 8 should be visited before node28\nnode 8 should be visited before node20\nnode 8 should be visited before node19\nnode 9 should be visited before node21\nnode 9 should be visited before node3\nnode 9 should be visited before node26\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 9 should be visited before node30\nnode 9 should be visited before node4\nnode 9 should be visited before node24\nnode 10 should be visited before node9\nnode 10 should be visited before node22\nnode 10 should be visited before node6\nnode 10 should be visited before node28\nnode 10 should be visited before node20\nnode 10 should be visited before node13\nnode 10 should be visited before node14\nnode 11 should be visited before node6\nnode 11 should be visited before node25\nnode 11 should be visited before node20\nnode 11 should be visited before node13\nnode 11 should be visited before node7\nnode 11 should be visited before node30\nnode 12 should be visited before node9\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 12 should be visited before node26\nnode 12 should be visited before node5\nnode 12 should be visited before node20\nnode 12 should be visited before node34\nnode 12 should be visited before node19\nnode 12 should be visited before node0\nnode 12 should be visited before node24\nnode 13 should be visited before node16\nnode 13 should be visited before node30\nnode 13 should be visited before node0\nnode 13 should be visited before node24\nnode 15 should be visited before node28\nnode 15 should be visited before node20\nnode 15 should be visited before node34\nnode 15 should be visited before node16\nnode 15 should be visited before node0\nnode 16 should be visited before node24\nnode 17 should be visited before node16\nnode 17 should be visited before node14\nnode 17 should be visited before node0\nnode 18 should be visited before node8\nnode 18 should be visited before node10\nnode 18 should be visited before node32\nnode 18 should be visited before node33\nnode 18 should be visited before node28\nnode 18 should be visited before node17\nnode 18 should be visited before node34\nnode 18 should be visited before node16\nnode 18 should be visited before node30\nnode 18 should be visited before node0\nnode 18 should be visited before node24\nnode 20 should be visited before node14\nnode 20 should be visited before node24\nnode 21 should be visited before node22\nnode 21 should be visited before node26\nnode 21 should be visited before node5\nnode 22 should be visited before node3\nnode 22 should be visited before node26\nnode 22 should be visited before node17\nnode 22 should be visited before node7\nnode 22 should be visited before node16\nnode 22 should be visited before node0\nnode 22 should be visited before node24\nnode 23 should be visited before node22\nnode 23 should be visited before node5\nnode 23 should be visited before node17\nnode 23 should be visited before node20\nnode 23 should be visited before node34\nnode 23 should be visited before node14\nnode 23 should be visited before node4\nnode 23 should be visited before node24\nnode 25 should be visited before node15\nnode 25 should be visited before node20\nnode 25 should be visited before node30\nnode 25 should be visited before node19\nnode 25 should be visited before node4\nnode 26 should be visited before node20\nnode 26 should be visited before node13\nnode 26 should be visited before node7\nnode 26 should be visited before node0\nnode 27 should be visited before node2\nnode 27 should be visited before node8\nnode 27 should be visited before node12\nnode 27 should be visited before node31\nnode 27 should be visited before node22\nnode 27 should be visited before node6\nnode 27 should be visited before node16\nnode 27 should be visited before node30\nnode 27 should be visited before node0\nnode 27 should be visited before node24\nnode 28 should be visited before node16\nnode 28 should be visited before node19\nnode 29 should be visited before node12\nnode 29 should be visited before node9\nnode 29 should be visited before node11\nnode 29 should be visited before node26\nnode 29 should be visited before node5\nnode 29 should be visited before node17\nnode 29 should be visited before node16\nnode 29 should be visited before node30\nnode 29 should be visited before node24\nnode 31 should be visited before node22\nnode 31 should be visited before node3\nnode 31 should be visited before node26\nnode 31 should be visited before node25\nnode 31 should be visited before node34\nnode 31 should be visited before node14\nnode 31 should be visited before node0\nnode 32 should be visited before node11\nnode 32 should be visited before node33\nnode 32 should be visited before node31\nnode 32 should be visited before node21\nnode 32 should be visited before node3\nnode 32 should be visited before node26\nnode 32 should be visited before node15\nnode 32 should be visited before node17\nnode 32 should be visited before node20\nnode 32 should be visited before node30\nnode 33 should be visited before node21\nnode 33 should be visited before node23\nnode 33 should be visited before node3\nnode 33 should be visited before node5\nnode 33 should be visited before node28\nnode 33 should be visited before node34\nnode 33 should be visited before node14\nnode 34 should be visited before node16\nnode 34 should be visited before node4\nnode 34 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,18,27,32,2,33,29,8,31,23,12,11,10,9,6,21,22,5,3,26,17,25,13,7,15,30,28,20,34,19,14,16,4,24,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph585",
        "image": "data/topology/graph_visual/hard/graph585.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node6\nnode 0 should be visited before node21\nnode 0 should be visited before node15\nnode 1 should be visited before node20\nnode 1 should be visited before node0\nnode 1 should be visited before node21\nnode 2 should be visited before node18\nnode 2 should be visited before node10\nnode 2 should be visited before node24\nnode 2 should be visited before node27\nnode 2 should be visited before node25\nnode 2 should be visited before node23\nnode 2 should be visited before node5\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 2 should be visited before node6\nnode 2 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node26\nnode 3 should be visited before node14\nnode 3 should be visited before node19\nnode 3 should be visited before node1\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node20\nnode 3 should be visited before node6\nnode 3 should be visited before node22\nnode 3 should be visited before node15\nnode 3 should be visited before node28\nnode 4 should be visited before node27\nnode 4 should be visited before node7\nnode 4 should be visited before node26\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 4 should be visited before node1\nnode 4 should be visited before node23\nnode 4 should be visited before node5\nnode 4 should be visited before node20\nnode 4 should be visited before node6\nnode 4 should be visited before node21\nnode 5 should be visited before node11\nnode 5 should be visited before node15\nnode 6 should be visited before node28\nnode 7 should be visited before node3\nnode 7 should be visited before node13\nnode 7 should be visited before node14\nnode 7 should be visited before node1\nnode 7 should be visited before node9\nnode 7 should be visited before node17\nnode 7 should be visited before node23\nnode 7 should be visited before node5\nnode 7 should be visited before node11\nnode 7 should be visited before node20\nnode 7 should be visited before node0\nnode 7 should be visited before node6\nnode 7 should be visited before node15\nnode 8 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node5\nnode 8 should be visited before node11\nnode 8 should be visited before node0\nnode 9 should be visited before node17\nnode 9 should be visited before node20\nnode 9 should be visited before node22\nnode 9 should be visited before node15\nnode 9 should be visited before node28\nnode 10 should be visited before node24\nnode 10 should be visited before node4\nnode 10 should be visited before node27\nnode 10 should be visited before node7\nnode 10 should be visited before node3\nnode 10 should be visited before node13\nnode 10 should be visited before node8\nnode 10 should be visited before node26\nnode 10 should be visited before node12\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node20\nnode 10 should be visited before node0\nnode 10 should be visited before node6\nnode 10 should be visited before node15\nnode 11 should be visited before node0\nnode 11 should be visited before node21\nnode 12 should be visited before node23\nnode 12 should be visited before node11\nnode 12 should be visited before node22\nnode 12 should be visited before node21\nnode 12 should be visited before node28\nnode 13 should be visited before node8\nnode 13 should be visited before node26\nnode 13 should be visited before node19\nnode 13 should be visited before node12\nnode 13 should be visited before node17\nnode 13 should be visited before node23\nnode 13 should be visited before node5\nnode 13 should be visited before node20\nnode 13 should be visited before node0\nnode 13 should be visited before node22\nnode 13 should be visited before node15\nnode 14 should be visited before node19\nnode 14 should be visited before node12\nnode 14 should be visited before node9\nnode 14 should be visited before node17\nnode 14 should be visited before node5\nnode 14 should be visited before node6\nnode 14 should be visited before node22\nnode 16 should be visited before node2\nnode 16 should be visited before node24\nnode 16 should be visited before node4\nnode 16 should be visited before node25\nnode 16 should be visited before node7\nnode 16 should be visited before node13\nnode 16 should be visited before node14\nnode 16 should be visited before node12\nnode 16 should be visited before node5\nnode 16 should be visited before node11\nnode 16 should be visited before node20\nnode 16 should be visited before node21\nnode 16 should be visited before node15\nnode 17 should be visited before node23\nnode 17 should be visited before node0\nnode 17 should be visited before node6\nnode 17 should be visited before node22\nnode 17 should be visited before node15\nnode 17 should be visited before node28\nnode 18 should be visited before node10\nnode 18 should be visited before node24\nnode 18 should be visited before node4\nnode 18 should be visited before node25\nnode 18 should be visited before node7\nnode 18 should be visited before node13\nnode 18 should be visited before node8\nnode 18 should be visited before node26\nnode 18 should be visited before node19\nnode 18 should be visited before node9\nnode 18 should be visited before node5\nnode 18 should be visited before node11\nnode 18 should be visited before node20\nnode 18 should be visited before node0\nnode 18 should be visited before node6\nnode 18 should be visited before node22\nnode 18 should be visited before node21\nnode 18 should be visited before node15\nnode 19 should be visited before node12\nnode 19 should be visited before node1\nnode 19 should be visited before node5\nnode 19 should be visited before node11\nnode 19 should be visited before node20\nnode 19 should be visited before node0\nnode 19 should be visited before node6\nnode 19 should be visited before node22\nnode 19 should be visited before node21\nnode 20 should be visited before node21\nnode 20 should be visited before node28\nnode 21 should be visited before node15\nnode 22 should be visited before node28\nnode 23 should be visited before node11\nnode 23 should be visited before node0\nnode 23 should be visited before node22\nnode 23 should be visited before node15\nnode 23 should be visited before node28\nnode 24 should be visited before node4\nnode 24 should be visited before node25\nnode 24 should be visited before node3\nnode 24 should be visited before node14\nnode 24 should be visited before node12\nnode 24 should be visited before node1\nnode 24 should be visited before node17\nnode 24 should be visited before node11\nnode 24 should be visited before node20\nnode 24 should be visited before node0\nnode 24 should be visited before node15\nnode 25 should be visited before node3\nnode 25 should be visited before node13\nnode 25 should be visited before node26\nnode 25 should be visited before node12\nnode 25 should be visited before node9\nnode 25 should be visited before node17\nnode 25 should be visited before node5\nnode 25 should be visited before node20\nnode 25 should be visited before node0\nnode 25 should be visited before node21\nnode 25 should be visited before node28\nnode 26 should be visited before node14\nnode 26 should be visited before node9\nnode 26 should be visited before node22\nnode 26 should be visited before node15\nnode 27 should be visited before node13\nnode 27 should be visited before node8\nnode 27 should be visited before node26\nnode 27 should be visited before node14\nnode 27 should be visited before node12\nnode 27 should be visited before node1\nnode 27 should be visited before node17\nnode 27 should be visited before node23\nnode 27 should be visited before node11\nnode 27 should be visited before node20\nnode 27 should be visited before node0\nnode 27 should be visited before node6\nnode 27 should be visited before node22\nnode 27 should be visited before node21\nnode 29 should be visited before node16\nnode 29 should be visited before node18\nnode 29 should be visited before node24\nnode 29 should be visited before node4\nnode 29 should be visited before node7\nnode 29 should be visited before node3\nnode 29 should be visited before node8\nnode 29 should be visited before node26\nnode 29 should be visited before node19\nnode 29 should be visited before node12\nnode 29 should be visited before node1\nnode 29 should be visited before node9\nnode 29 should be visited before node23\nnode 29 should be visited before node5\nnode 29 should be visited before node6\nnode 29 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "29,16,2,18,10,24,4,25,27,7,3,13,8,26,14,19,9,12,1,5,17,20,23,11,22,0,6,21,28,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph137",
        "image": "data/topology/graph_visual/hard/graph137.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node3\nnode 0 should be visited before node24\nnode 0 should be visited before node18\nnode 0 should be visited before node8\nnode 0 should be visited before node21\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 1 should be visited before node6\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 3 should be visited before node18\nnode 3 should be visited before node2\nnode 3 should be visited before node13\nnode 3 should be visited before node9\nnode 3 should be visited before node21\nnode 4 should be visited before node14\nnode 4 should be visited before node0\nnode 4 should be visited before node25\nnode 4 should be visited before node15\nnode 4 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node23\nnode 4 should be visited before node9\nnode 4 should be visited before node12\nnode 5 should be visited before node7\nnode 5 should be visited before node19\nnode 5 should be visited before node22\nnode 6 should be visited before node19\nnode 7 should be visited before node19\nnode 7 should be visited before node23\nnode 7 should be visited before node21\nnode 8 should be visited before node9\nnode 10 should be visited before node8\nnode 11 should be visited before node0\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node19\nnode 11 should be visited before node8\nnode 11 should be visited before node12\nnode 13 should be visited before node19\nnode 13 should be visited before node9\nnode 14 should be visited before node25\nnode 14 should be visited before node20\nnode 14 should be visited before node6\nnode 14 should be visited before node21\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node12\nnode 15 should be visited before node22\nnode 15 should be visited before node21\nnode 16 should be visited before node0\nnode 16 should be visited before node3\nnode 16 should be visited before node25\nnode 16 should be visited before node5\nnode 16 should be visited before node24\nnode 16 should be visited before node1\nnode 16 should be visited before node2\nnode 16 should be visited before node13\nnode 17 should be visited before node16\nnode 17 should be visited before node11\nnode 17 should be visited before node26\nnode 17 should be visited before node3\nnode 17 should be visited before node15\nnode 17 should be visited before node1\nnode 17 should be visited before node2\nnode 18 should be visited before node7\nnode 18 should be visited before node6\nnode 18 should be visited before node19\nnode 18 should be visited before node10\nnode 19 should be visited before node10\nnode 20 should be visited before node6\nnode 20 should be visited before node8\nnode 20 should be visited before node12\nnode 20 should be visited before node21\nnode 24 should be visited before node6\nnode 24 should be visited before node19\nnode 24 should be visited before node23\nnode 24 should be visited before node9\nnode 25 should be visited before node5\nnode 25 should be visited before node24\nnode 25 should be visited before node18\nnode 25 should be visited before node10\nnode 25 should be visited before node22\nnode 25 should be visited before node21\nnode 26 should be visited before node5\nnode 26 should be visited before node24\nnode 26 should be visited before node18\nnode 26 should be visited before node1\nnode 26 should be visited before node20\nnode 26 should be visited before node8\nnode 26 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,17,14,16,11,26,15,25,0,1,20,5,3,24,12,22,18,2,13,7,6,23,21,19,10,8,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph319",
        "image": "data/topology/graph_visual/hard/graph319.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node12\nnode 0 should be visited before node23\nnode 0 should be visited before node3\nnode 0 should be visited before node25\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 0 should be visited before node13\nnode 0 should be visited before node20\nnode 0 should be visited before node9\nnode 0 should be visited before node27\nnode 0 should be visited before node2\nnode 0 should be visited before node10\nnode 0 should be visited before node24\nnode 0 should be visited before node4\nnode 1 should be visited before node17\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node10\nnode 2 should be visited before node26\nnode 3 should be visited before node25\nnode 3 should be visited before node19\nnode 3 should be visited before node13\nnode 3 should be visited before node20\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node22\nnode 3 should be visited before node11\nnode 3 should be visited before node27\nnode 3 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node8\nnode 3 should be visited before node10\nnode 3 should be visited before node24\nnode 3 should be visited before node5\nnode 3 should be visited before node4\nnode 3 should be visited before node26\nnode 4 should be visited before node26\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node2\nnode 6 should be visited before node4\nnode 6 should be visited before node26\nnode 7 should be visited before node2\nnode 7 should be visited before node8\nnode 7 should be visited before node24\nnode 7 should be visited before node5\nnode 7 should be visited before node4\nnode 8 should be visited before node24\nnode 9 should be visited before node18\nnode 9 should be visited before node1\nnode 9 should be visited before node17\nnode 9 should be visited before node10\nnode 9 should be visited before node5\nnode 10 should be visited before node5\nnode 10 should be visited before node4\nnode 10 should be visited before node26\nnode 11 should be visited before node27\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node18\nnode 11 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node24\nnode 11 should be visited before node5\nnode 11 should be visited before node26\nnode 12 should be visited before node23\nnode 12 should be visited before node25\nnode 12 should be visited before node19\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 12 should be visited before node27\nnode 12 should be visited before node7\nnode 12 should be visited before node2\nnode 12 should be visited before node1\nnode 12 should be visited before node8\nnode 12 should be visited before node10\nnode 12 should be visited before node5\nnode 12 should be visited before node26\nnode 13 should be visited before node6\nnode 13 should be visited before node22\nnode 13 should be visited before node27\nnode 13 should be visited before node2\nnode 13 should be visited before node18\nnode 13 should be visited before node1\nnode 13 should be visited before node8\nnode 13 should be visited before node17\nnode 13 should be visited before node24\nnode 14 should be visited before node23\nnode 14 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node11\nnode 14 should be visited before node27\nnode 14 should be visited before node2\nnode 14 should be visited before node18\nnode 14 should be visited before node17\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node20\nnode 15 should be visited before node6\nnode 15 should be visited before node1\nnode 15 should be visited before node17\nnode 15 should be visited before node10\nnode 15 should be visited before node5\nnode 15 should be visited before node26\nnode 16 should be visited before node3\nnode 16 should be visited before node13\nnode 16 should be visited before node20\nnode 16 should be visited before node6\nnode 16 should be visited before node9\nnode 16 should be visited before node22\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node18\nnode 16 should be visited before node1\nnode 16 should be visited before node8\nnode 16 should be visited before node17\nnode 16 should be visited before node24\nnode 16 should be visited before node4\nnode 16 should be visited before node26\nnode 17 should be visited before node10\nnode 17 should be visited before node26\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 19 should be visited before node13\nnode 19 should be visited before node9\nnode 19 should be visited before node22\nnode 19 should be visited before node2\nnode 19 should be visited before node18\nnode 19 should be visited before node1\nnode 19 should be visited before node10\nnode 19 should be visited before node24\nnode 20 should be visited before node6\nnode 20 should be visited before node9\nnode 20 should be visited before node22\nnode 20 should be visited before node11\nnode 20 should be visited before node2\nnode 20 should be visited before node1\nnode 20 should be visited before node8\nnode 20 should be visited before node10\nnode 20 should be visited before node24\nnode 20 should be visited before node26\nnode 21 should be visited before node23\nnode 21 should be visited before node3\nnode 21 should be visited before node25\nnode 21 should be visited before node19\nnode 21 should be visited before node13\nnode 21 should be visited before node20\nnode 21 should be visited before node6\nnode 21 should be visited before node9\nnode 21 should be visited before node22\nnode 21 should be visited before node8\nnode 21 should be visited before node10\nnode 21 should be visited before node5\nnode 22 should be visited before node27\nnode 22 should be visited before node1\nnode 22 should be visited before node17\nnode 22 should be visited before node10\nnode 22 should be visited before node4\nnode 23 should be visited before node25\nnode 23 should be visited before node13\nnode 23 should be visited before node20\nnode 23 should be visited before node6\nnode 23 should be visited before node9\nnode 23 should be visited before node22\nnode 23 should be visited before node11\nnode 23 should be visited before node27\nnode 23 should be visited before node7\nnode 23 should be visited before node2\nnode 23 should be visited before node1\nnode 23 should be visited before node10\nnode 23 should be visited before node4\nnode 23 should be visited before node26\nnode 24 should be visited before node4\nnode 25 should be visited before node15\nnode 25 should be visited before node13\nnode 25 should be visited before node20\nnode 25 should be visited before node6\nnode 25 should be visited before node9\nnode 25 should be visited before node17\nnode 25 should be visited before node5\nnode 27 should be visited before node7\nnode 27 should be visited before node2\nnode 27 should be visited before node1\nnode 27 should be visited before node8\nnode 27 should be visited before node17\nnode 27 should be visited before node24\nnode 27 should be visited before node4\nnode 27 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,14,16,21,12,3,23,19,25,15,13,20,6,9,22,11,27,18,7,2,1,8,17,24,10,5,4,26."
            }
        ]
    },
    {
        "id": "topology-hard-graph1097",
        "image": "data/topology/graph_visual/hard/graph1097.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node24\nnode 0 should be visited before node8\nnode 0 should be visited before node31\nnode 0 should be visited before node16\nnode 0 should be visited before node23\nnode 1 should be visited before node13\nnode 1 should be visited before node4\nnode 1 should be visited before node19\nnode 1 should be visited before node5\nnode 1 should be visited before node31\nnode 1 should be visited before node16\nnode 1 should be visited before node12\nnode 2 should be visited before node24\nnode 2 should be visited before node9\nnode 2 should be visited before node15\nnode 3 should be visited before node24\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 3 should be visited before node33\nnode 3 should be visited before node25\nnode 3 should be visited before node21\nnode 4 should be visited before node19\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node33\nnode 4 should be visited before node21\nnode 5 should be visited before node21\nnode 6 should be visited before node1\nnode 6 should be visited before node27\nnode 6 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node19\nnode 6 should be visited before node9\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node15\nnode 6 should be visited before node25\nnode 6 should be visited before node31\nnode 6 should be visited before node12\nnode 7 should be visited before node25\nnode 7 should be visited before node16\nnode 7 should be visited before node12\nnode 7 should be visited before node21\nnode 8 should be visited before node5\nnode 8 should be visited before node31\nnode 8 should be visited before node16\nnode 8 should be visited before node21\nnode 9 should be visited before node11\nnode 9 should be visited before node30\nnode 9 should be visited before node33\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node23\nnode 10 should be visited before node6\nnode 10 should be visited before node26\nnode 10 should be visited before node3\nnode 10 should be visited before node24\nnode 10 should be visited before node33\nnode 10 should be visited before node15\nnode 10 should be visited before node25\nnode 10 should be visited before node31\nnode 10 should be visited before node12\nnode 11 should be visited before node12\nnode 12 should be visited before node21\nnode 13 should be visited before node27\nnode 13 should be visited before node2\nnode 13 should be visited before node4\nnode 13 should be visited before node19\nnode 13 should be visited before node8\nnode 13 should be visited before node5\nnode 13 should be visited before node22\nnode 13 should be visited before node18\nnode 13 should be visited before node23\nnode 14 should be visited before node19\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 14 should be visited before node30\nnode 14 should be visited before node7\nnode 14 should be visited before node33\nnode 14 should be visited before node15\nnode 14 should be visited before node21\nnode 15 should be visited before node31\nnode 15 should be visited before node16\nnode 15 should be visited before node12\nnode 17 should be visited before node31\nnode 17 should be visited before node12\nnode 17 should be visited before node23\nnode 17 should be visited before node21\nnode 18 should be visited before node31\nnode 19 should be visited before node30\nnode 19 should be visited before node5\nnode 19 should be visited before node22\nnode 19 should be visited before node18\nnode 19 should be visited before node25\nnode 19 should be visited before node23\nnode 19 should be visited before node21\nnode 20 should be visited before node6\nnode 20 should be visited before node1\nnode 20 should be visited before node27\nnode 20 should be visited before node14\nnode 20 should be visited before node2\nnode 20 should be visited before node0\nnode 20 should be visited before node4\nnode 20 should be visited before node19\nnode 20 should be visited before node8\nnode 20 should be visited before node30\nnode 20 should be visited before node25\nnode 20 should be visited before node31\nnode 20 should be visited before node21\nnode 22 should be visited before node18\nnode 22 should be visited before node25\nnode 22 should be visited before node31\nnode 22 should be visited before node21\nnode 24 should be visited before node8\nnode 24 should be visited before node11\nnode 24 should be visited before node7\nnode 24 should be visited before node5\nnode 24 should be visited before node25\nnode 24 should be visited before node31\nnode 24 should be visited before node16\nnode 24 should be visited before node21\nnode 25 should be visited before node31\nnode 25 should be visited before node12\nnode 25 should be visited before node21\nnode 26 should be visited before node27\nnode 26 should be visited before node2\nnode 26 should be visited before node29\nnode 26 should be visited before node15\nnode 26 should be visited before node25\nnode 27 should be visited before node24\nnode 27 should be visited before node30\nnode 27 should be visited before node17\nnode 27 should be visited before node15\nnode 27 should be visited before node25\nnode 27 should be visited before node16\nnode 27 should be visited before node23\nnode 28 should be visited before node6\nnode 28 should be visited before node1\nnode 28 should be visited before node2\nnode 28 should be visited before node24\nnode 28 should be visited before node8\nnode 28 should be visited before node11\nnode 28 should be visited before node33\nnode 28 should be visited before node18\nnode 28 should be visited before node31\nnode 29 should be visited before node7\nnode 29 should be visited before node17\nnode 29 should be visited before node12\nnode 30 should be visited before node7\nnode 30 should be visited before node22\nnode 30 should be visited before node15\nnode 30 should be visited before node12\nnode 30 should be visited before node21\nnode 31 should be visited before node16\nnode 32 should be visited before node5\nnode 32 should be visited before node22\nnode 32 should be visited before node25\nnode 32 should be visited before node31\nnode 32 should be visited before node16\nnode 33 should be visited before node22\nnode 33 should be visited before node18\nnode 33 should be visited before node21\nnode 34 should be visited before node28\nnode 34 should be visited before node20\nnode 34 should be visited before node19\nnode 34 should be visited before node30\nnode 34 should be visited before node29\nnode 34 should be visited before node33\nnode 34 should be visited before node5\nnode 34 should be visited before node17\nnode 34 should be visited before node22\nnode 34 should be visited before node25\nnode 34 should be visited before node31\nnode 34 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,32,34,26,28,20,29,6,14,0,1,3,13,27,2,4,17,24,19,9,8,11,30,33,23,5,7,15,22,18,25,31,12,16,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph952",
        "image": "data/topology/graph_visual/hard/graph952.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node12\nnode 0 should be visited before node22\nnode 0 should be visited before node18\nnode 0 should be visited before node31\nnode 0 should be visited before node23\nnode 0 should be visited before node21\nnode 0 should be visited before node27\nnode 0 should be visited before node11\nnode 0 should be visited before node20\nnode 0 should be visited before node16\nnode 0 should be visited before node17\nnode 0 should be visited before node8\nnode 0 should be visited before node26\nnode 0 should be visited before node32\nnode 0 should be visited before node24\nnode 0 should be visited before node30\nnode 0 should be visited before node28\nnode 1 should be visited before node5\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node14\nnode 1 should be visited before node21\nnode 1 should be visited before node11\nnode 1 should be visited before node20\nnode 1 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node17\nnode 1 should be visited before node8\nnode 1 should be visited before node2\nnode 1 should be visited before node24\nnode 1 should be visited before node30\nnode 1 should be visited before node28\nnode 2 should be visited before node25\nnode 2 should be visited before node32\nnode 2 should be visited before node24\nnode 2 should be visited before node30\nnode 3 should be visited before node2\nnode 3 should be visited before node24\nnode 4 should be visited before node8\nnode 4 should be visited before node26\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node25\nnode 4 should be visited before node24\nnode 4 should be visited before node30\nnode 5 should be visited before node7\nnode 5 should be visited before node12\nnode 5 should be visited before node22\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node19\nnode 5 should be visited before node14\nnode 5 should be visited before node21\nnode 5 should be visited before node27\nnode 5 should be visited before node10\nnode 5 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node8\nnode 5 should be visited before node26\nnode 5 should be visited before node3\nnode 5 should be visited before node32\nnode 5 should be visited before node30\nnode 5 should be visited before node28\nnode 6 should be visited before node31\nnode 6 should be visited before node21\nnode 6 should be visited before node9\nnode 6 should be visited before node29\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 6 should be visited before node26\nnode 6 should be visited before node3\nnode 6 should be visited before node2\nnode 6 should be visited before node32\nnode 6 should be visited before node30\nnode 6 should be visited before node28\nnode 7 should be visited before node22\nnode 7 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node23\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 7 should be visited before node2\nnode 7 should be visited before node32\nnode 7 should be visited before node28\nnode 8 should be visited before node26\nnode 8 should be visited before node24\nnode 8 should be visited before node30\nnode 9 should be visited before node4\nnode 9 should be visited before node16\nnode 9 should be visited before node17\nnode 9 should be visited before node8\nnode 9 should be visited before node3\nnode 9 should be visited before node32\nnode 10 should be visited before node9\nnode 10 should be visited before node29\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node2\nnode 11 should be visited before node20\nnode 11 should be visited before node4\nnode 11 should be visited before node16\nnode 11 should be visited before node8\nnode 11 should be visited before node3\nnode 11 should be visited before node2\nnode 11 should be visited before node24\nnode 11 should be visited before node30\nnode 11 should be visited before node28\nnode 12 should be visited before node10\nnode 12 should be visited before node29\nnode 12 should be visited before node11\nnode 12 should be visited before node20\nnode 12 should be visited before node4\nnode 12 should be visited before node17\nnode 12 should be visited before node8\nnode 12 should be visited before node26\nnode 12 should be visited before node32\nnode 12 should be visited before node24\nnode 13 should be visited before node14\nnode 13 should be visited before node27\nnode 13 should be visited before node9\nnode 13 should be visited before node29\nnode 13 should be visited before node11\nnode 13 should be visited before node20\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node17\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 13 should be visited before node25\nnode 14 should be visited before node21\nnode 14 should be visited before node9\nnode 14 should be visited before node20\nnode 14 should be visited before node26\nnode 14 should be visited before node3\nnode 14 should be visited before node2\nnode 14 should be visited before node30\nnode 15 should be visited before node5\nnode 15 should be visited before node7\nnode 15 should be visited before node12\nnode 15 should be visited before node6\nnode 15 should be visited before node31\nnode 15 should be visited before node14\nnode 15 should be visited before node21\nnode 15 should be visited before node27\nnode 15 should be visited before node10\nnode 15 should be visited before node29\nnode 15 should be visited before node11\nnode 15 should be visited before node4\nnode 15 should be visited before node17\nnode 15 should be visited before node8\nnode 15 should be visited before node26\nnode 15 should be visited before node3\nnode 15 should be visited before node2\nnode 15 should be visited before node32\nnode 15 should be visited before node30\nnode 15 should be visited before node28\nnode 16 should be visited before node17\nnode 16 should be visited before node26\nnode 16 should be visited before node2\nnode 16 should be visited before node25\nnode 16 should be visited before node32\nnode 16 should be visited before node28\nnode 17 should be visited before node8\nnode 17 should be visited before node26\nnode 17 should be visited before node3\nnode 17 should be visited before node2\nnode 17 should be visited before node25\nnode 17 should be visited before node28\nnode 18 should be visited before node6\nnode 18 should be visited before node31\nnode 18 should be visited before node14\nnode 18 should be visited before node21\nnode 18 should be visited before node10\nnode 18 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node17\nnode 18 should be visited before node26\nnode 18 should be visited before node25\nnode 18 should be visited before node32\nnode 18 should be visited before node24\nnode 18 should be visited before node28\nnode 19 should be visited before node14\nnode 19 should be visited before node21\nnode 19 should be visited before node27\nnode 19 should be visited before node9\nnode 19 should be visited before node29\nnode 19 should be visited before node11\nnode 19 should be visited before node20\nnode 19 should be visited before node4\nnode 19 should be visited before node16\nnode 19 should be visited before node17\nnode 19 should be visited before node3\nnode 19 should be visited before node32\nnode 19 should be visited before node24\nnode 19 should be visited before node28\nnode 20 should be visited before node16\nnode 20 should be visited before node17\nnode 20 should be visited before node26\nnode 20 should be visited before node32\nnode 20 should be visited before node28\nnode 21 should be visited before node27\nnode 21 should be visited before node9\nnode 21 should be visited before node29\nnode 21 should be visited before node11\nnode 21 should be visited before node4\nnode 21 should be visited before node8\nnode 21 should be visited before node3\nnode 21 should be visited before node2\nnode 21 should be visited before node25\nnode 21 should be visited before node32\nnode 21 should be visited before node24\nnode 22 should be visited before node23\nnode 22 should be visited before node19\nnode 22 should be visited before node27\nnode 22 should be visited before node10\nnode 22 should be visited before node9\nnode 22 should be visited before node20\nnode 22 should be visited before node3\nnode 22 should be visited before node2\nnode 22 should be visited before node25\nnode 22 should be visited before node32\nnode 22 should be visited before node24\nnode 22 should be visited before node28\nnode 23 should be visited before node21\nnode 23 should be visited before node27\nnode 23 should be visited before node29\nnode 23 should be visited before node4\nnode 23 should be visited before node8\nnode 23 should be visited before node3\nnode 23 should be visited before node30\nnode 24 should be visited before node30\nnode 24 should be visited before node28\nnode 25 should be visited before node24\nnode 25 should be visited before node28\nnode 26 should be visited before node3\nnode 26 should be visited before node2\nnode 26 should be visited before node25\nnode 26 should be visited before node32\nnode 27 should be visited before node10\nnode 27 should be visited before node9\nnode 27 should be visited before node29\nnode 27 should be visited before node11\nnode 27 should be visited before node16\nnode 27 should be visited before node17\nnode 27 should be visited before node8\nnode 27 should be visited before node26\nnode 27 should be visited before node24\nnode 29 should be visited before node4\nnode 29 should be visited before node17\nnode 29 should be visited before node8\nnode 29 should be visited before node3\nnode 31 should be visited before node13\nnode 31 should be visited before node21\nnode 31 should be visited before node4\nnode 31 should be visited before node16\nnode 31 should be visited before node17\nnode 31 should be visited before node8\nnode 31 should be visited before node26\nnode 31 should be visited before node3\nnode 31 should be visited before node24\nnode 31 should be visited before node30\nnode 32 should be visited before node24\nnode 32 should be visited before node30\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,1,15,5,7,12,22,18,23,19,6,31,13,14,21,27,10,9,29,11,20,4,16,17,8,26,3,2,25,32,24,30,28."
            }
        ]
    },
    {
        "id": "topology-hard-graph1161",
        "image": "data/topology/graph_visual/hard/graph1161.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node10\nnode 0 should be visited before node20\nnode 0 should be visited before node5\nnode 0 should be visited before node16\nnode 0 should be visited before node7\nnode 0 should be visited before node25\nnode 0 should be visited before node3\nnode 0 should be visited before node21\nnode 0 should be visited before node30\nnode 0 should be visited before node15\nnode 1 should be visited before node27\nnode 1 should be visited before node22\nnode 1 should be visited before node16\nnode 1 should be visited before node7\nnode 1 should be visited before node8\nnode 1 should be visited before node26\nnode 1 should be visited before node3\nnode 1 should be visited before node31\nnode 1 should be visited before node12\nnode 1 should be visited before node29\nnode 1 should be visited before node34\nnode 1 should be visited before node30\nnode 1 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node24\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 2 should be visited before node25\nnode 2 should be visited before node3\nnode 2 should be visited before node29\nnode 2 should be visited before node14\nnode 2 should be visited before node15\nnode 2 should be visited before node28\nnode 3 should be visited before node29\nnode 3 should be visited before node30\nnode 3 should be visited before node15\nnode 4 should be visited before node9\nnode 4 should be visited before node23\nnode 4 should be visited before node13\nnode 4 should be visited before node24\nnode 4 should be visited before node0\nnode 4 should be visited before node27\nnode 4 should be visited before node22\nnode 4 should be visited before node7\nnode 4 should be visited before node25\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node31\nnode 4 should be visited before node21\nnode 4 should be visited before node29\nnode 4 should be visited before node34\nnode 4 should be visited before node14\nnode 5 should be visited before node7\nnode 5 should be visited before node26\nnode 5 should be visited before node6\nnode 5 should be visited before node12\nnode 5 should be visited before node30\nnode 5 should be visited before node14\nnode 5 should be visited before node15\nnode 5 should be visited before node28\nnode 6 should be visited before node3\nnode 6 should be visited before node29\nnode 6 should be visited before node30\nnode 6 should be visited before node15\nnode 6 should be visited before node28\nnode 7 should be visited before node8\nnode 7 should be visited before node26\nnode 7 should be visited before node14\nnode 7 should be visited before node15\nnode 8 should be visited before node26\nnode 8 should be visited before node6\nnode 8 should be visited before node3\nnode 8 should be visited before node21\nnode 8 should be visited before node29\nnode 8 should be visited before node30\nnode 8 should be visited before node14\nnode 9 should be visited before node23\nnode 9 should be visited before node27\nnode 9 should be visited before node10\nnode 9 should be visited before node20\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node7\nnode 9 should be visited before node8\nnode 9 should be visited before node26\nnode 9 should be visited before node21\nnode 9 should be visited before node12\nnode 9 should be visited before node30\nnode 9 should be visited before node14\nnode 9 should be visited before node28\nnode 10 should be visited before node22\nnode 10 should be visited before node25\nnode 10 should be visited before node12\nnode 10 should be visited before node29\nnode 10 should be visited before node30\nnode 10 should be visited before node15\nnode 10 should be visited before node28\nnode 11 should be visited before node17\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 11 should be visited before node4\nnode 11 should be visited before node23\nnode 11 should be visited before node13\nnode 11 should be visited before node24\nnode 11 should be visited before node1\nnode 11 should be visited before node0\nnode 11 should be visited before node27\nnode 11 should be visited before node5\nnode 11 should be visited before node7\nnode 11 should be visited before node8\nnode 11 should be visited before node26\nnode 11 should be visited before node6\nnode 11 should be visited before node3\nnode 11 should be visited before node31\nnode 11 should be visited before node12\nnode 11 should be visited before node30\nnode 11 should be visited before node14\nnode 11 should be visited before node28\nnode 12 should be visited before node29\nnode 12 should be visited before node34\nnode 12 should be visited before node30\nnode 12 should be visited before node28\nnode 13 should be visited before node0\nnode 13 should be visited before node27\nnode 13 should be visited before node10\nnode 13 should be visited before node20\nnode 13 should be visited before node5\nnode 13 should be visited before node8\nnode 13 should be visited before node26\nnode 13 should be visited before node3\nnode 13 should be visited before node21\nnode 13 should be visited before node30\nnode 13 should be visited before node14\nnode 13 should be visited before node15\nnode 13 should be visited before node28\nnode 14 should be visited before node28\nnode 16 should be visited before node26\nnode 16 should be visited before node31\nnode 16 should be visited before node21\nnode 16 should be visited before node29\nnode 16 should be visited before node15\nnode 17 should be visited before node2\nnode 17 should be visited before node4\nnode 17 should be visited before node9\nnode 17 should be visited before node23\nnode 17 should be visited before node24\nnode 17 should be visited before node0\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node7\nnode 17 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node3\nnode 17 should be visited before node29\nnode 17 should be visited before node15\nnode 17 should be visited before node28\nnode 18 should be visited before node19\nnode 18 should be visited before node2\nnode 18 should be visited before node23\nnode 18 should be visited before node24\nnode 18 should be visited before node1\nnode 18 should be visited before node0\nnode 18 should be visited before node27\nnode 18 should be visited before node10\nnode 18 should be visited before node22\nnode 18 should be visited before node5\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 18 should be visited before node8\nnode 18 should be visited before node26\nnode 18 should be visited before node3\nnode 18 should be visited before node31\nnode 18 should be visited before node12\nnode 18 should be visited before node29\nnode 18 should be visited before node30\nnode 18 should be visited before node15\nnode 18 should be visited before node28\nnode 19 should be visited before node2\nnode 19 should be visited before node4\nnode 19 should be visited before node9\nnode 19 should be visited before node23\nnode 19 should be visited before node13\nnode 19 should be visited before node0\nnode 19 should be visited before node27\nnode 19 should be visited before node10\nnode 19 should be visited before node22\nnode 19 should be visited before node5\nnode 19 should be visited before node7\nnode 19 should be visited before node8\nnode 19 should be visited before node26\nnode 19 should be visited before node3\nnode 19 should be visited before node31\nnode 19 should be visited before node21\nnode 19 should be visited before node12\nnode 19 should be visited before node29\nnode 19 should be visited before node34\nnode 19 should be visited before node14\nnode 20 should be visited before node8\nnode 20 should be visited before node25\nnode 20 should be visited before node26\nnode 20 should be visited before node3\nnode 20 should be visited before node12\nnode 20 should be visited before node29\nnode 20 should be visited before node34\nnode 20 should be visited before node15\nnode 20 should be visited before node28\nnode 21 should be visited before node12\nnode 21 should be visited before node29\nnode 21 should be visited before node30\nnode 21 should be visited before node15\nnode 21 should be visited before node28\nnode 22 should be visited before node5\nnode 22 should be visited before node16\nnode 22 should be visited before node7\nnode 22 should be visited before node8\nnode 22 should be visited before node25\nnode 22 should be visited before node26\nnode 22 should be visited before node3\nnode 22 should be visited before node31\nnode 22 should be visited before node21\nnode 22 should be visited before node29\nnode 22 should be visited before node30\nnode 23 should be visited before node24\nnode 23 should be visited before node1\nnode 23 should be visited before node0\nnode 23 should be visited before node20\nnode 23 should be visited before node22\nnode 23 should be visited before node5\nnode 23 should be visited before node25\nnode 23 should be visited before node6\nnode 23 should be visited before node31\nnode 23 should be visited before node21\nnode 23 should be visited before node29\nnode 23 should be visited before node28\nnode 24 should be visited before node27\nnode 24 should be visited before node20\nnode 24 should be visited before node22\nnode 24 should be visited before node5\nnode 24 should be visited before node7\nnode 24 should be visited before node8\nnode 24 should be visited before node25\nnode 24 should be visited before node26\nnode 24 should be visited before node6\nnode 24 should be visited before node3\nnode 24 should be visited before node21\nnode 24 should be visited before node29\nnode 24 should be visited before node34\nnode 25 should be visited before node6\nnode 25 should be visited before node31\nnode 25 should be visited before node12\nnode 25 should be visited before node29\nnode 25 should be visited before node15\nnode 25 should be visited before node28\nnode 26 should be visited before node3\nnode 26 should be visited before node21\nnode 26 should be visited before node12\nnode 26 should be visited before node29\nnode 26 should be visited before node15\nnode 27 should be visited before node20\nnode 27 should be visited before node5\nnode 27 should be visited before node7\nnode 27 should be visited before node25\nnode 27 should be visited before node3\nnode 27 should be visited before node29\nnode 27 should be visited before node34\nnode 27 should be visited before node14\nnode 27 should be visited before node15\nnode 27 should be visited before node28\nnode 29 should be visited before node34\nnode 29 should be visited before node14\nnode 29 should be visited before node15\nnode 30 should be visited before node14\nnode 30 should be visited before node28\nnode 31 should be visited before node21\nnode 31 should be visited before node12\nnode 31 should be visited before node14\nnode 31 should be visited before node15\nnode 32 should be visited before node18\nnode 32 should be visited before node4\nnode 32 should be visited before node9\nnode 32 should be visited before node13\nnode 32 should be visited before node24\nnode 32 should be visited before node1\nnode 32 should be visited before node0\nnode 32 should be visited before node27\nnode 32 should be visited before node22\nnode 32 should be visited before node5\nnode 32 should be visited before node25\nnode 32 should be visited before node26\nnode 32 should be visited before node21\nnode 32 should be visited before node12\nnode 32 should be visited before node29\nnode 32 should be visited before node14\nnode 33 should be visited before node17\nnode 33 should be visited before node2\nnode 33 should be visited before node4\nnode 33 should be visited before node9\nnode 33 should be visited before node13\nnode 33 should be visited before node1\nnode 33 should be visited before node10\nnode 33 should be visited before node5\nnode 33 should be visited before node16\nnode 33 should be visited before node26\nnode 33 should be visited before node6\nnode 33 should be visited before node3\nnode 33 should be visited before node31\nnode 33 should be visited before node21\nnode 33 should be visited before node12\nnode 33 should be visited before node29\nnode 33 should be visited before node15\nnode 33 should be visited before node28\nnode 34 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,32,33,18,17,19,2,4,9,13,23,24,1,0,27,10,20,22,5,16,25,7,31,8,26,6,21,3,12,29,30,34,15,14,28."
            }
        ]
    },
    {
        "id": "topology-hard-graph1106",
        "image": "data/topology/graph_visual/hard/graph1106.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node23\nnode 0 should be visited before node21\nnode 0 should be visited before node13\nnode 0 should be visited before node16\nnode 0 should be visited before node19\nnode 1 should be visited before node5\nnode 1 should be visited before node34\nnode 1 should be visited before node13\nnode 1 should be visited before node32\nnode 1 should be visited before node15\nnode 1 should be visited before node30\nnode 1 should be visited before node25\nnode 1 should be visited before node3\nnode 1 should be visited before node14\nnode 2 should be visited before node4\nnode 2 should be visited before node24\nnode 2 should be visited before node14\nnode 3 should be visited before node29\nnode 3 should be visited before node14\nnode 4 should be visited before node25\nnode 4 should be visited before node7\nnode 4 should be visited before node14\nnode 5 should be visited before node16\nnode 5 should be visited before node8\nnode 5 should be visited before node4\nnode 5 should be visited before node24\nnode 5 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node25\nnode 6 should be visited before node19\nnode 8 should be visited before node4\nnode 8 should be visited before node24\nnode 8 should be visited before node7\nnode 8 should be visited before node29\nnode 9 should be visited before node26\nnode 9 should be visited before node1\nnode 9 should be visited before node0\nnode 9 should be visited before node23\nnode 9 should be visited before node31\nnode 9 should be visited before node15\nnode 9 should be visited before node30\nnode 9 should be visited before node6\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node2\nnode 11 should be visited before node5\nnode 11 should be visited before node32\nnode 11 should be visited before node22\nnode 11 should be visited before node4\nnode 11 should be visited before node25\nnode 11 should be visited before node19\nnode 11 should be visited before node3\nnode 11 should be visited before node29\nnode 12 should be visited before node9\nnode 12 should be visited before node17\nnode 12 should be visited before node0\nnode 12 should be visited before node21\nnode 12 should be visited before node5\nnode 12 should be visited before node15\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node3\nnode 13 should be visited before node30\nnode 13 should be visited before node10\nnode 13 should be visited before node3\nnode 13 should be visited before node29\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 15 should be visited before node24\nnode 16 should be visited before node19\nnode 16 should be visited before node14\nnode 17 should be visited before node21\nnode 17 should be visited before node22\nnode 17 should be visited before node31\nnode 17 should be visited before node15\nnode 17 should be visited before node10\nnode 17 should be visited before node25\nnode 18 should be visited before node9\nnode 18 should be visited before node1\nnode 18 should be visited before node23\nnode 18 should be visited before node22\nnode 18 should be visited before node15\nnode 18 should be visited before node19\nnode 19 should be visited before node7\nnode 19 should be visited before node3\nnode 19 should be visited before node29\nnode 19 should be visited before node14\nnode 20 should be visited before node18\nnode 20 should be visited before node26\nnode 20 should be visited before node17\nnode 20 should be visited before node0\nnode 20 should be visited before node23\nnode 20 should be visited before node21\nnode 20 should be visited before node31\nnode 20 should be visited before node25\nnode 20 should be visited before node14\nnode 21 should be visited before node30\nnode 21 should be visited before node8\nnode 21 should be visited before node4\nnode 21 should be visited before node25\nnode 21 should be visited before node3\nnode 22 should be visited before node6\nnode 22 should be visited before node16\nnode 22 should be visited before node4\nnode 22 should be visited before node3\nnode 22 should be visited before node14\nnode 23 should be visited before node34\nnode 23 should be visited before node32\nnode 23 should be visited before node22\nnode 23 should be visited before node6\nnode 23 should be visited before node29\nnode 24 should be visited before node7\nnode 24 should be visited before node3\nnode 25 should be visited before node19\nnode 26 should be visited before node17\nnode 26 should be visited before node32\nnode 26 should be visited before node22\nnode 26 should be visited before node30\nnode 26 should be visited before node6\nnode 26 should be visited before node16\nnode 26 should be visited before node4\nnode 26 should be visited before node19\nnode 26 should be visited before node3\nnode 26 should be visited before node14\nnode 27 should be visited before node28\nnode 27 should be visited before node18\nnode 27 should be visited before node26\nnode 27 should be visited before node0\nnode 27 should be visited before node21\nnode 27 should be visited before node30\nnode 27 should be visited before node10\nnode 27 should be visited before node14\nnode 28 should be visited before node9\nnode 28 should be visited before node26\nnode 28 should be visited before node17\nnode 28 should be visited before node32\nnode 28 should be visited before node31\nnode 28 should be visited before node15\nnode 28 should be visited before node6\nnode 28 should be visited before node25\nnode 28 should be visited before node29\nnode 30 should be visited before node16\nnode 30 should be visited before node2\nnode 30 should be visited before node24\nnode 30 should be visited before node19\nnode 30 should be visited before node7\nnode 31 should be visited before node8\nnode 31 should be visited before node4\nnode 31 should be visited before node24\nnode 31 should be visited before node25\nnode 31 should be visited before node19\nnode 31 should be visited before node3\nnode 32 should be visited before node15\nnode 32 should be visited before node10\nnode 33 should be visited before node12\nnode 33 should be visited before node18\nnode 33 should be visited before node11\nnode 33 should be visited before node0\nnode 33 should be visited before node34\nnode 33 should be visited before node13\nnode 33 should be visited before node31\nnode 33 should be visited before node30\nnode 33 should be visited before node8\nnode 33 should be visited before node2\nnode 33 should be visited before node24\nnode 33 should be visited before node19\nnode 33 should be visited before node14\nnode 34 should be visited before node32\nnode 34 should be visited before node22\nnode 34 should be visited before node31\nnode 34 should be visited before node15\nnode 34 should be visited before node4\nnode 34 should be visited before node24\nnode 34 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "20,27,33,28,12,18,11,9,26,1,0,17,5,23,13,21,34,30,32,22,31,15,16,6,10,8,2,4,24,25,19,7,3,29,14."
            }
        ]
    },
    {
        "id": "topology-hard-graph589",
        "image": "data/topology/graph_visual/hard/graph589.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node20\nnode 0 should be visited before node25\nnode 0 should be visited before node14\nnode 0 should be visited before node21\nnode 0 should be visited before node27\nnode 0 should be visited before node6\nnode 0 should be visited before node19\nnode 0 should be visited before node16\nnode 1 should be visited before node10\nnode 1 should be visited before node28\nnode 1 should be visited before node0\nnode 1 should be visited before node20\nnode 1 should be visited before node17\nnode 1 should be visited before node25\nnode 1 should be visited before node11\nnode 1 should be visited before node14\nnode 1 should be visited before node27\nnode 1 should be visited before node19\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node20\nnode 2 should be visited before node25\nnode 2 should be visited before node14\nnode 2 should be visited before node29\nnode 2 should be visited before node23\nnode 2 should be visited before node19\nnode 2 should be visited before node22\nnode 3 should be visited before node15\nnode 3 should be visited before node20\nnode 3 should be visited before node17\nnode 3 should be visited before node25\nnode 3 should be visited before node29\nnode 3 should be visited before node21\nnode 3 should be visited before node23\nnode 3 should be visited before node19\nnode 4 should be visited before node26\nnode 4 should be visited before node0\nnode 4 should be visited before node17\nnode 4 should be visited before node11\nnode 4 should be visited before node14\nnode 4 should be visited before node13\nnode 4 should be visited before node27\nnode 4 should be visited before node23\nnode 4 should be visited before node19\nnode 4 should be visited before node24\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 5 should be visited before node4\nnode 5 should be visited before node28\nnode 5 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node20\nnode 5 should be visited before node14\nnode 5 should be visited before node13\nnode 5 should be visited before node27\nnode 5 should be visited before node6\nnode 5 should be visited before node19\nnode 5 should be visited before node16\nnode 6 should be visited before node24\nnode 7 should be visited before node10\nnode 7 should be visited before node15\nnode 7 should be visited before node20\nnode 7 should be visited before node11\nnode 7 should be visited before node14\nnode 7 should be visited before node27\nnode 7 should be visited before node23\nnode 7 should be visited before node19\nnode 7 should be visited before node16\nnode 7 should be visited before node22\nnode 7 should be visited before node24\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 8 should be visited before node1\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node25\nnode 8 should be visited before node29\nnode 8 should be visited before node13\nnode 8 should be visited before node6\nnode 8 should be visited before node19\nnode 8 should be visited before node22\nnode 9 should be visited before node26\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 9 should be visited before node15\nnode 9 should be visited before node17\nnode 9 should be visited before node25\nnode 9 should be visited before node29\nnode 9 should be visited before node13\nnode 9 should be visited before node27\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node22\nnode 9 should be visited before node24\nnode 10 should be visited before node3\nnode 10 should be visited before node12\nnode 10 should be visited before node0\nnode 10 should be visited before node20\nnode 10 should be visited before node25\nnode 10 should be visited before node14\nnode 10 should be visited before node21\nnode 10 should be visited before node13\nnode 10 should be visited before node27\nnode 10 should be visited before node23\nnode 10 should be visited before node16\nnode 10 should be visited before node22\nnode 10 should be visited before node24\nnode 11 should be visited before node14\nnode 11 should be visited before node29\nnode 11 should be visited before node21\nnode 11 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node6\nnode 11 should be visited before node19\nnode 11 should be visited before node16\nnode 11 should be visited before node22\nnode 11 should be visited before node24\nnode 12 should be visited before node15\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node21\nnode 12 should be visited before node23\nnode 12 should be visited before node19\nnode 12 should be visited before node16\nnode 12 should be visited before node24\nnode 13 should be visited before node27\nnode 13 should be visited before node6\nnode 13 should be visited before node19\nnode 13 should be visited before node16\nnode 13 should be visited before node22\nnode 13 should be visited before node24\nnode 14 should be visited before node21\nnode 14 should be visited before node13\nnode 14 should be visited before node23\nnode 14 should be visited before node6\nnode 14 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node22\nnode 15 should be visited before node20\nnode 15 should be visited before node17\nnode 15 should be visited before node21\nnode 15 should be visited before node13\nnode 15 should be visited before node16\nnode 15 should be visited before node22\nnode 17 should be visited before node14\nnode 17 should be visited before node21\nnode 17 should be visited before node13\nnode 17 should be visited before node27\nnode 17 should be visited before node23\nnode 17 should be visited before node6\nnode 17 should be visited before node24\nnode 18 should be visited before node8\nnode 18 should be visited before node9\nnode 18 should be visited before node7\nnode 18 should be visited before node4\nnode 18 should be visited before node1\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 18 should be visited before node12\nnode 18 should be visited before node15\nnode 18 should be visited before node20\nnode 18 should be visited before node11\nnode 18 should be visited before node14\nnode 18 should be visited before node29\nnode 18 should be visited before node21\nnode 18 should be visited before node13\nnode 18 should be visited before node23\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 18 should be visited before node22\nnode 19 should be visited before node16\nnode 19 should be visited before node24\nnode 20 should be visited before node29\nnode 20 should be visited before node23\nnode 20 should be visited before node24\nnode 21 should be visited before node27\nnode 21 should be visited before node23\nnode 21 should be visited before node19\nnode 21 should be visited before node16\nnode 23 should be visited before node6\nnode 25 should be visited before node14\nnode 25 should be visited before node29\nnode 25 should be visited before node13\nnode 25 should be visited before node27\nnode 25 should be visited before node23\nnode 26 should be visited before node3\nnode 26 should be visited before node12\nnode 26 should be visited before node20\nnode 26 should be visited before node17\nnode 26 should be visited before node11\nnode 26 should be visited before node14\nnode 26 should be visited before node13\nnode 26 should be visited before node27\nnode 26 should be visited before node23\nnode 26 should be visited before node6\nnode 26 should be visited before node16\nnode 26 should be visited before node22\nnode 27 should be visited before node6\nnode 27 should be visited before node16\nnode 28 should be visited before node3\nnode 28 should be visited before node20\nnode 28 should be visited before node25\nnode 28 should be visited before node14\nnode 28 should be visited before node29\nnode 28 should be visited before node21\nnode 28 should be visited before node13\nnode 28 should be visited before node27\nnode 28 should be visited before node23\nnode 28 should be visited before node22\nnode 29 should be visited before node21\nnode 29 should be visited before node13\nnode 29 should be visited before node23\nnode 29 should be visited before node19\nnode 29 should be visited before node22\nnode 29 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,5,18,8,7,9,4,1,26,10,28,12,0,3,11,15,25,20,17,29,14,21,13,23,27,19,22,6,16,24."
            }
        ]
    },
    {
        "id": "topology-hard-graph615",
        "image": "data/topology/graph_visual/hard/graph615.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 1 should be visited before node17\nnode 1 should be visited before node24\nnode 1 should be visited before node10\nnode 1 should be visited before node13\nnode 1 should be visited before node20\nnode 1 should be visited before node28\nnode 2 should be visited before node11\nnode 2 should be visited before node0\nnode 3 should be visited before node21\nnode 4 should be visited before node15\nnode 4 should be visited before node6\nnode 4 should be visited before node26\nnode 4 should be visited before node12\nnode 4 should be visited before node20\nnode 4 should be visited before node2\nnode 4 should be visited before node11\nnode 4 should be visited before node21\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 6 should be visited before node24\nnode 6 should be visited before node14\nnode 6 should be visited before node11\nnode 6 should be visited before node0\nnode 8 should be visited before node27\nnode 8 should be visited before node3\nnode 8 should be visited before node30\nnode 8 should be visited before node6\nnode 8 should be visited before node24\nnode 8 should be visited before node16\nnode 8 should be visited before node12\nnode 8 should be visited before node28\nnode 8 should be visited before node5\nnode 9 should be visited before node25\nnode 9 should be visited before node8\nnode 9 should be visited before node6\nnode 9 should be visited before node26\nnode 9 should be visited before node16\nnode 9 should be visited before node20\nnode 9 should be visited before node5\nnode 10 should be visited before node26\nnode 10 should be visited before node16\nnode 10 should be visited before node12\nnode 10 should be visited before node28\nnode 10 should be visited before node11\nnode 10 should be visited before node0\nnode 11 should be visited before node21\nnode 11 should be visited before node5\nnode 11 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node21\nnode 13 should be visited before node26\nnode 13 should be visited before node20\nnode 13 should be visited before node2\nnode 14 should be visited before node16\nnode 14 should be visited before node2\nnode 15 should be visited before node1\nnode 15 should be visited before node17\nnode 15 should be visited before node14\nnode 15 should be visited before node13\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 15 should be visited before node2\nnode 15 should be visited before node7\nnode 16 should be visited before node20\nnode 16 should be visited before node28\nnode 16 should be visited before node11\nnode 16 should be visited before node0\nnode 17 should be visited before node2\nnode 17 should be visited before node28\nnode 17 should be visited before node11\nnode 17 should be visited before node21\nnode 17 should be visited before node5\nnode 18 should be visited before node22\nnode 18 should be visited before node17\nnode 18 should be visited before node6\nnode 18 should be visited before node14\nnode 18 should be visited before node26\nnode 18 should be visited before node12\nnode 18 should be visited before node2\nnode 18 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node14\nnode 19 should be visited before node16\nnode 19 should be visited before node12\nnode 19 should be visited before node20\nnode 19 should be visited before node2\nnode 19 should be visited before node7\nnode 20 should be visited before node11\nnode 21 should be visited before node7\nnode 22 should be visited before node8\nnode 22 should be visited before node23\nnode 22 should be visited before node27\nnode 22 should be visited before node30\nnode 22 should be visited before node24\nnode 22 should be visited before node13\nnode 22 should be visited before node26\nnode 22 should be visited before node16\nnode 22 should be visited before node12\nnode 22 should be visited before node2\nnode 22 should be visited before node5\nnode 23 should be visited before node1\nnode 23 should be visited before node27\nnode 23 should be visited before node3\nnode 23 should be visited before node24\nnode 23 should be visited before node10\nnode 23 should be visited before node13\nnode 23 should be visited before node16\nnode 23 should be visited before node12\nnode 23 should be visited before node11\nnode 24 should be visited before node10\nnode 24 should be visited before node16\nnode 24 should be visited before node12\nnode 24 should be visited before node28\nnode 24 should be visited before node5\nnode 24 should be visited before node0\nnode 24 should be visited before node7\nnode 25 should be visited before node23\nnode 25 should be visited before node1\nnode 25 should be visited before node27\nnode 25 should be visited before node17\nnode 25 should be visited before node24\nnode 25 should be visited before node26\nnode 25 should be visited before node16\nnode 25 should be visited before node20\nnode 25 should be visited before node2\nnode 25 should be visited before node28\nnode 25 should be visited before node0\nnode 26 should be visited before node7\nnode 27 should be visited before node30\nnode 27 should be visited before node6\nnode 27 should be visited before node10\nnode 27 should be visited before node26\nnode 27 should be visited before node16\nnode 27 should be visited before node12\nnode 27 should be visited before node20\nnode 27 should be visited before node5\nnode 27 should be visited before node0\nnode 28 should be visited before node21\nnode 28 should be visited before node5\nnode 29 should be visited before node15\nnode 29 should be visited before node1\nnode 29 should be visited before node3\nnode 29 should be visited before node30\nnode 29 should be visited before node24\nnode 29 should be visited before node14\nnode 29 should be visited before node26\nnode 29 should be visited before node7\nnode 30 should be visited before node6\nnode 30 should be visited before node2\nnode 30 should be visited before node21\nnode 30 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,9,18,19,29,25,22,15,8,23,1,27,3,17,13,30,6,24,14,10,26,16,12,20,28,2,11,21,5,0,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph722",
        "image": "data/topology/graph_visual/hard/graph722.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node27\nnode 0 should be visited before node6\nnode 0 should be visited before node15\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 1 should be visited before node0\nnode 1 should be visited before node27\nnode 1 should be visited before node18\nnode 1 should be visited before node14\nnode 1 should be visited before node3\nnode 1 should be visited before node19\nnode 2 should be visited before node28\nnode 2 should be visited before node30\nnode 2 should be visited before node20\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node13\nnode 2 should be visited before node31\nnode 2 should be visited before node29\nnode 2 should be visited before node14\nnode 2 should be visited before node3\nnode 2 should be visited before node15\nnode 2 should be visited before node11\nnode 3 should be visited before node6\nnode 3 should be visited before node8\nnode 3 should be visited before node16\nnode 4 should be visited before node21\nnode 4 should be visited before node3\nnode 4 should be visited before node16\nnode 4 should be visited before node19\nnode 5 should be visited before node27\nnode 5 should be visited before node21\nnode 5 should be visited before node31\nnode 5 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node8\nnode 5 should be visited before node16\nnode 6 should be visited before node19\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node1\nnode 7 should be visited before node31\nnode 7 should be visited before node17\nnode 7 should be visited before node29\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node19\nnode 8 should be visited before node16\nnode 8 should be visited before node19\nnode 9 should be visited before node13\nnode 9 should be visited before node0\nnode 9 should be visited before node31\nnode 9 should be visited before node29\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node19\nnode 10 should be visited before node24\nnode 10 should be visited before node2\nnode 10 should be visited before node25\nnode 10 should be visited before node20\nnode 10 should be visited before node1\nnode 10 should be visited before node0\nnode 10 should be visited before node18\nnode 10 should be visited before node17\nnode 10 should be visited before node29\nnode 10 should be visited before node15\nnode 10 should be visited before node12\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 10 should be visited before node19\nnode 12 should be visited before node8\nnode 13 should be visited before node0\nnode 13 should be visited before node27\nnode 13 should be visited before node14\nnode 13 should be visited before node6\nnode 13 should be visited before node15\nnode 13 should be visited before node19\nnode 14 should be visited before node3\nnode 14 should be visited before node11\nnode 15 should be visited before node11\nnode 15 should be visited before node16\nnode 15 should be visited before node19\nnode 17 should be visited before node14\nnode 17 should be visited before node6\nnode 18 should be visited before node14\nnode 18 should be visited before node3\nnode 18 should be visited before node15\nnode 18 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node11\nnode 18 should be visited before node19\nnode 20 should be visited before node9\nnode 20 should be visited before node31\nnode 20 should be visited before node18\nnode 20 should be visited before node17\nnode 20 should be visited before node29\nnode 20 should be visited before node14\nnode 20 should be visited before node6\nnode 20 should be visited before node12\nnode 21 should be visited before node31\nnode 21 should be visited before node18\nnode 21 should be visited before node8\nnode 21 should be visited before node19\nnode 22 should be visited before node24\nnode 22 should be visited before node2\nnode 22 should be visited before node27\nnode 22 should be visited before node29\nnode 22 should be visited before node3\nnode 22 should be visited before node15\nnode 22 should be visited before node16\nnode 23 should be visited before node28\nnode 23 should be visited before node4\nnode 23 should be visited before node5\nnode 23 should be visited before node13\nnode 23 should be visited before node21\nnode 23 should be visited before node18\nnode 23 should be visited before node17\nnode 23 should be visited before node14\nnode 23 should be visited before node6\nnode 24 should be visited before node28\nnode 24 should be visited before node25\nnode 24 should be visited before node13\nnode 24 should be visited before node18\nnode 24 should be visited before node29\nnode 24 should be visited before node3\nnode 24 should be visited before node15\nnode 24 should be visited before node12\nnode 24 should be visited before node8\nnode 25 should be visited before node5\nnode 25 should be visited before node17\nnode 25 should be visited before node6\nnode 25 should be visited before node8\nnode 26 should be visited before node23\nnode 26 should be visited before node28\nnode 26 should be visited before node5\nnode 26 should be visited before node1\nnode 26 should be visited before node0\nnode 26 should be visited before node27\nnode 26 should be visited before node18\nnode 26 should be visited before node14\nnode 26 should be visited before node3\nnode 26 should be visited before node15\nnode 26 should be visited before node12\nnode 26 should be visited before node8\nnode 26 should be visited before node16\nnode 27 should be visited before node12\nnode 27 should be visited before node16\nnode 27 should be visited before node19\nnode 28 should be visited before node30\nnode 28 should be visited before node18\nnode 28 should be visited before node6\nnode 28 should be visited before node12\nnode 28 should be visited before node8\nnode 29 should be visited before node3\nnode 29 should be visited before node12\nnode 29 should be visited before node16\nnode 29 should be visited before node19\nnode 30 should be visited before node25\nnode 30 should be visited before node5\nnode 30 should be visited before node9\nnode 30 should be visited before node31\nnode 30 should be visited before node17\nnode 30 should be visited before node14\nnode 30 should be visited before node3\nnode 30 should be visited before node6\nnode 30 should be visited before node15\nnode 30 should be visited before node19\nnode 31 should be visited before node17\nnode 31 should be visited before node29\nnode 31 should be visited before node6\nnode 31 should be visited before node11\nnode 31 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,10,22,26,24,2,23,1,20,28,4,30,25,9,5,13,21,0,31,18,27,17,29,15,14,12,3,11,6,8,16,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph174",
        "image": "data/topology/graph_visual/hard/graph174.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node26\nnode 0 should be visited before node11\nnode 0 should be visited before node19\nnode 0 should be visited before node4\nnode 0 should be visited before node25\nnode 0 should be visited before node5\nnode 0 should be visited before node22\nnode 0 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node21\nnode 1 should be visited before node0\nnode 1 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node23\nnode 1 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node17\nnode 1 should be visited before node2\nnode 2 should be visited before node15\nnode 2 should be visited before node18\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node20\nnode 3 should be visited before node12\nnode 3 should be visited before node4\nnode 3 should be visited before node25\nnode 3 should be visited before node5\nnode 3 should be visited before node18\nnode 4 should be visited before node17\nnode 4 should be visited before node25\nnode 4 should be visited before node22\nnode 5 should be visited before node22\nnode 5 should be visited before node9\nnode 6 should be visited before node24\nnode 6 should be visited before node19\nnode 6 should be visited before node23\nnode 6 should be visited before node4\nnode 6 should be visited before node16\nnode 6 should be visited before node5\nnode 6 should be visited before node18\nnode 7 should be visited before node26\nnode 7 should be visited before node6\nnode 7 should be visited before node12\nnode 7 should be visited before node24\nnode 7 should be visited before node16\nnode 7 should be visited before node17\nnode 7 should be visited before node15\nnode 7 should be visited before node25\nnode 7 should be visited before node5\nnode 7 should be visited before node22\nnode 7 should be visited before node18\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 8 should be visited before node20\nnode 8 should be visited before node14\nnode 8 should be visited before node6\nnode 8 should be visited before node2\nnode 8 should be visited before node15\nnode 10 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node17\nnode 10 should be visited before node15\nnode 11 should be visited before node12\nnode 11 should be visited before node16\nnode 11 should be visited before node2\nnode 11 should be visited before node15\nnode 11 should be visited before node25\nnode 12 should be visited before node24\nnode 12 should be visited before node19\nnode 12 should be visited before node16\nnode 12 should be visited before node25\nnode 13 should be visited before node26\nnode 13 should be visited before node20\nnode 13 should be visited before node14\nnode 13 should be visited before node11\nnode 13 should be visited before node19\nnode 13 should be visited before node15\nnode 13 should be visited before node5\nnode 14 should be visited before node12\nnode 14 should be visited before node24\nnode 14 should be visited before node4\nnode 14 should be visited before node17\nnode 14 should be visited before node18\nnode 16 should be visited before node25\nnode 16 should be visited before node9\nnode 17 should be visited before node18\nnode 19 should be visited before node16\nnode 19 should be visited before node25\nnode 20 should be visited before node10\nnode 20 should be visited before node24\nnode 20 should be visited before node19\nnode 20 should be visited before node4\nnode 20 should be visited before node25\nnode 21 should be visited before node8\nnode 21 should be visited before node0\nnode 21 should be visited before node11\nnode 21 should be visited before node19\nnode 21 should be visited before node9\nnode 23 should be visited before node16\nnode 23 should be visited before node2\nnode 23 should be visited before node25\nnode 23 should be visited before node18\nnode 23 should be visited before node9\nnode 24 should be visited before node19\nnode 24 should be visited before node23\nnode 24 should be visited before node16\nnode 24 should be visited before node15\nnode 24 should be visited before node18\nnode 24 should be visited before node9\nnode 25 should be visited before node5\nnode 25 should be visited before node18\nnode 26 should be visited before node20\nnode 26 should be visited before node10\nnode 26 should be visited before node11\nnode 26 should be visited before node6\nnode 26 should be visited before node19\nnode 26 should be visited before node4\nnode 26 should be visited before node2\nnode 26 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,13,3,21,8,0,7,14,26,20,6,10,4,11,17,12,24,19,23,16,2,25,15,5,18,22,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph316",
        "image": "data/topology/graph_visual/hard/graph316.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node12\nnode 0 should be visited before node10\nnode 0 should be visited before node16\nnode 0 should be visited before node13\nnode 0 should be visited before node1\nnode 0 should be visited before node8\nnode 0 should be visited before node23\nnode 0 should be visited before node27\nnode 0 should be visited before node18\nnode 0 should be visited before node25\nnode 0 should be visited before node3\nnode 0 should be visited before node24\nnode 0 should be visited before node17\nnode 1 should be visited before node27\nnode 1 should be visited before node18\nnode 1 should be visited before node25\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 2 should be visited before node19\nnode 2 should be visited before node0\nnode 2 should be visited before node14\nnode 2 should be visited before node7\nnode 2 should be visited before node12\nnode 2 should be visited before node22\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 2 should be visited before node4\nnode 2 should be visited before node15\nnode 2 should be visited before node8\nnode 2 should be visited before node26\nnode 2 should be visited before node18\nnode 2 should be visited before node24\nnode 2 should be visited before node17\nnode 2 should be visited before node11\nnode 3 should be visited before node5\nnode 3 should be visited before node24\nnode 3 should be visited before node17\nnode 4 should be visited before node8\nnode 4 should be visited before node6\nnode 4 should be visited before node27\nnode 4 should be visited before node18\nnode 4 should be visited before node25\nnode 4 should be visited before node3\nnode 4 should be visited before node5\nnode 4 should be visited before node11\nnode 5 should be visited before node24\nnode 5 should be visited before node17\nnode 6 should be visited before node18\nnode 6 should be visited before node25\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node24\nnode 7 should be visited before node22\nnode 7 should be visited before node13\nnode 7 should be visited before node1\nnode 7 should be visited before node4\nnode 7 should be visited before node8\nnode 7 should be visited before node25\nnode 7 should be visited before node3\nnode 7 should be visited before node5\nnode 7 should be visited before node24\nnode 7 should be visited before node17\nnode 8 should be visited before node6\nnode 8 should be visited before node27\nnode 8 should be visited before node18\nnode 8 should be visited before node25\nnode 8 should be visited before node3\nnode 8 should be visited before node17\nnode 8 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node21\nnode 9 should be visited before node0\nnode 9 should be visited before node12\nnode 9 should be visited before node20\nnode 9 should be visited before node10\nnode 9 should be visited before node15\nnode 9 should be visited before node26\nnode 9 should be visited before node6\nnode 9 should be visited before node23\nnode 9 should be visited before node27\nnode 9 should be visited before node18\nnode 9 should be visited before node3\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node13\nnode 10 should be visited before node4\nnode 10 should be visited before node15\nnode 10 should be visited before node26\nnode 10 should be visited before node6\nnode 10 should be visited before node27\nnode 10 should be visited before node18\nnode 10 should be visited before node3\nnode 12 should be visited before node16\nnode 12 should be visited before node6\nnode 12 should be visited before node23\nnode 12 should be visited before node27\nnode 12 should be visited before node18\nnode 12 should be visited before node3\nnode 12 should be visited before node17\nnode 13 should be visited before node1\nnode 13 should be visited before node4\nnode 13 should be visited before node6\nnode 13 should be visited before node27\nnode 13 should be visited before node18\nnode 13 should be visited before node25\nnode 13 should be visited before node3\nnode 13 should be visited before node5\nnode 13 should be visited before node24\nnode 13 should be visited before node11\nnode 14 should be visited before node22\nnode 14 should be visited before node10\nnode 14 should be visited before node16\nnode 14 should be visited before node1\nnode 14 should be visited before node8\nnode 14 should be visited before node27\nnode 14 should be visited before node3\nnode 14 should be visited before node5\nnode 14 should be visited before node24\nnode 14 should be visited before node11\nnode 15 should be visited before node6\nnode 15 should be visited before node23\nnode 15 should be visited before node5\nnode 15 should be visited before node24\nnode 15 should be visited before node17\nnode 15 should be visited before node11\nnode 16 should be visited before node6\nnode 16 should be visited before node23\nnode 16 should be visited before node27\nnode 16 should be visited before node5\nnode 18 should be visited before node3\nnode 18 should be visited before node5\nnode 18 should be visited before node24\nnode 19 should be visited before node14\nnode 19 should be visited before node7\nnode 19 should be visited before node12\nnode 19 should be visited before node22\nnode 19 should be visited before node13\nnode 19 should be visited before node4\nnode 19 should be visited before node8\nnode 19 should be visited before node27\nnode 19 should be visited before node18\nnode 19 should be visited before node25\nnode 19 should be visited before node5\nnode 19 should be visited before node24\nnode 19 should be visited before node11\nnode 20 should be visited before node4\nnode 20 should be visited before node8\nnode 20 should be visited before node6\nnode 20 should be visited before node18\nnode 20 should be visited before node25\nnode 20 should be visited before node24\nnode 20 should be visited before node17\nnode 20 should be visited before node11\nnode 21 should be visited before node14\nnode 21 should be visited before node7\nnode 21 should be visited before node20\nnode 21 should be visited before node1\nnode 21 should be visited before node4\nnode 21 should be visited before node8\nnode 21 should be visited before node26\nnode 21 should be visited before node6\nnode 21 should be visited before node23\nnode 21 should be visited before node25\nnode 21 should be visited before node3\nnode 21 should be visited before node5\nnode 21 should be visited before node24\nnode 21 should be visited before node17\nnode 22 should be visited before node20\nnode 22 should be visited before node16\nnode 22 should be visited before node13\nnode 22 should be visited before node1\nnode 22 should be visited before node4\nnode 22 should be visited before node23\nnode 22 should be visited before node27\nnode 22 should be visited before node18\nnode 22 should be visited before node3\nnode 22 should be visited before node5\nnode 22 should be visited before node24\nnode 22 should be visited before node17\nnode 22 should be visited before node11\nnode 23 should be visited before node18\nnode 23 should be visited before node25\nnode 23 should be visited before node3\nnode 23 should be visited before node5\nnode 23 should be visited before node17\nnode 23 should be visited before node11\nnode 24 should be visited before node17\nnode 25 should be visited before node3\nnode 25 should be visited before node5\nnode 25 should be visited before node24\nnode 25 should be visited before node17\nnode 25 should be visited before node11\nnode 26 should be visited before node27\nnode 26 should be visited before node18\nnode 26 should be visited before node25\nnode 26 should be visited before node3\nnode 26 should be visited before node17\nnode 26 should be visited before node11\nnode 27 should be visited before node3\nnode 27 should be visited before node5\nnode 27 should be visited before node24\nnode 27 should be visited before node17\nnode 27 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,2,21,19,0,14,7,12,10,22,15,26,20,16,13,23,1,4,8,6,27,18,25,3,11,5,24,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph180",
        "image": "data/topology/graph_visual/hard/graph180.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node18\nnode 0 should be visited before node2\nnode 0 should be visited before node23\nnode 0 should be visited before node15\nnode 0 should be visited before node17\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node12\nnode 1 should be visited before node7\nnode 1 should be visited before node14\nnode 1 should be visited before node0\nnode 1 should be visited before node9\nnode 1 should be visited before node22\nnode 1 should be visited before node23\nnode 2 should be visited before node23\nnode 3 should be visited before node25\nnode 3 should be visited before node14\nnode 3 should be visited before node18\nnode 3 should be visited before node9\nnode 3 should be visited before node2\nnode 3 should be visited before node23\nnode 3 should be visited before node15\nnode 4 should be visited before node16\nnode 4 should be visited before node7\nnode 4 should be visited before node14\nnode 4 should be visited before node18\nnode 4 should be visited before node22\nnode 4 should be visited before node2\nnode 4 should be visited before node17\nnode 5 should be visited before node25\nnode 5 should be visited before node16\nnode 5 should be visited before node7\nnode 5 should be visited before node0\nnode 5 should be visited before node22\nnode 5 should be visited before node2\nnode 6 should be visited before node3\nnode 6 should be visited before node18\nnode 6 should be visited before node9\nnode 6 should be visited before node2\nnode 6 should be visited before node23\nnode 6 should be visited before node15\nnode 6 should be visited before node17\nnode 7 should be visited before node2\nnode 7 should be visited before node15\nnode 7 should be visited before node17\nnode 8 should be visited before node19\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 8 should be visited before node16\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 8 should be visited before node18\nnode 8 should be visited before node2\nnode 8 should be visited before node17\nnode 9 should be visited before node22\nnode 9 should be visited before node2\nnode 9 should be visited before node23\nnode 10 should be visited before node8\nnode 10 should be visited before node19\nnode 10 should be visited before node6\nnode 10 should be visited before node16\nnode 10 should be visited before node18\nnode 10 should be visited before node9\nnode 10 should be visited before node22\nnode 10 should be visited before node23\nnode 10 should be visited before node15\nnode 11 should be visited before node24\nnode 11 should be visited before node21\nnode 11 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node4\nnode 11 should be visited before node12\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 11 should be visited before node18\nnode 11 should be visited before node9\nnode 11 should be visited before node15\nnode 12 should be visited before node7\nnode 12 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node22\nnode 13 should be visited before node21\nnode 13 should be visited before node19\nnode 13 should be visited before node3\nnode 13 should be visited before node5\nnode 13 should be visited before node25\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node9\nnode 13 should be visited before node22\nnode 13 should be visited before node23\nnode 13 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node18\nnode 14 should be visited before node9\nnode 14 should be visited before node2\nnode 14 should be visited before node23\nnode 15 should be visited before node17\nnode 16 should be visited before node12\nnode 16 should be visited before node0\nnode 16 should be visited before node18\nnode 16 should be visited before node22\nnode 16 should be visited before node2\nnode 16 should be visited before node23\nnode 16 should be visited before node15\nnode 18 should be visited before node9\nnode 18 should be visited before node22\nnode 18 should be visited before node23\nnode 18 should be visited before node15\nnode 18 should be visited before node17\nnode 19 should be visited before node1\nnode 19 should be visited before node6\nnode 19 should be visited before node5\nnode 19 should be visited before node25\nnode 19 should be visited before node7\nnode 19 should be visited before node14\nnode 19 should be visited before node0\nnode 19 should be visited before node18\nnode 19 should be visited before node22\nnode 19 should be visited before node15\nnode 20 should be visited before node26\nnode 20 should be visited before node13\nnode 20 should be visited before node8\nnode 20 should be visited before node19\nnode 20 should be visited before node1\nnode 20 should be visited before node6\nnode 20 should be visited before node4\nnode 20 should be visited before node16\nnode 20 should be visited before node12\nnode 20 should be visited before node14\nnode 20 should be visited before node0\nnode 20 should be visited before node23\nnode 20 should be visited before node15\nnode 21 should be visited before node10\nnode 21 should be visited before node8\nnode 21 should be visited before node1\nnode 21 should be visited before node6\nnode 21 should be visited before node5\nnode 21 should be visited before node12\nnode 21 should be visited before node0\nnode 21 should be visited before node2\nnode 21 should be visited before node15\nnode 21 should be visited before node17\nnode 22 should be visited before node2\nnode 22 should be visited before node17\nnode 23 should be visited before node15\nnode 24 should be visited before node13\nnode 24 should be visited before node21\nnode 24 should be visited before node10\nnode 24 should be visited before node8\nnode 24 should be visited before node19\nnode 24 should be visited before node3\nnode 24 should be visited before node25\nnode 24 should be visited before node4\nnode 24 should be visited before node16\nnode 24 should be visited before node12\nnode 24 should be visited before node0\nnode 24 should be visited before node9\nnode 24 should be visited before node23\nnode 24 should be visited before node17\nnode 25 should be visited before node4\nnode 25 should be visited before node16\nnode 25 should be visited before node12\nnode 25 should be visited before node7\nnode 25 should be visited before node14\nnode 25 should be visited before node0\nnode 25 should be visited before node18\nnode 25 should be visited before node9\nnode 25 should be visited before node22\nnode 25 should be visited before node23\nnode 25 should be visited before node15\nnode 26 should be visited before node24\nnode 26 should be visited before node10\nnode 26 should be visited before node19\nnode 26 should be visited before node1\nnode 26 should be visited before node6\nnode 26 should be visited before node12\nnode 26 should be visited before node7\nnode 26 should be visited before node14\nnode 26 should be visited before node18\nnode 26 should be visited before node22\nnode 26 should be visited before node2\nnode 26 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,20,26,24,13,21,10,8,19,1,6,5,3,25,4,16,12,7,14,0,18,9,22,2,23,15,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph1063",
        "image": "data/topology/graph_visual/hard/graph1063.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node5\nnode 0 should be visited before node28\nnode 0 should be visited before node30\nnode 0 should be visited before node17\nnode 0 should be visited before node9\nnode 0 should be visited before node2\nnode 0 should be visited before node27\nnode 1 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node30\nnode 1 should be visited before node25\nnode 1 should be visited before node29\nnode 1 should be visited before node9\nnode 1 should be visited before node2\nnode 1 should be visited before node27\nnode 2 should be visited before node20\nnode 2 should be visited before node27\nnode 3 should be visited before node20\nnode 4 should be visited before node7\nnode 4 should be visited before node28\nnode 4 should be visited before node30\nnode 4 should be visited before node22\nnode 4 should be visited before node29\nnode 4 should be visited before node6\nnode 4 should be visited before node18\nnode 4 should be visited before node3\nnode 4 should be visited before node2\nnode 4 should be visited before node15\nnode 5 should be visited before node28\nnode 5 should be visited before node14\nnode 5 should be visited before node22\nnode 5 should be visited before node26\nnode 5 should be visited before node29\nnode 5 should be visited before node6\nnode 5 should be visited before node18\nnode 5 should be visited before node3\nnode 5 should be visited before node20\nnode 5 should be visited before node27\nnode 6 should be visited before node11\nnode 6 should be visited before node27\nnode 7 should be visited before node0\nnode 7 should be visited before node5\nnode 7 should be visited before node28\nnode 7 should be visited before node14\nnode 7 should be visited before node17\nnode 7 should be visited before node26\nnode 7 should be visited before node6\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node20\nnode 7 should be visited before node15\nnode 7 should be visited before node27\nnode 8 should be visited before node33\nnode 8 should be visited before node12\nnode 8 should be visited before node4\nnode 8 should be visited before node13\nnode 8 should be visited before node16\nnode 8 should be visited before node5\nnode 8 should be visited before node28\nnode 8 should be visited before node14\nnode 8 should be visited before node30\nnode 8 should be visited before node17\nnode 8 should be visited before node22\nnode 8 should be visited before node26\nnode 8 should be visited before node29\nnode 8 should be visited before node21\nnode 8 should be visited before node6\nnode 8 should be visited before node18\nnode 8 should be visited before node3\nnode 8 should be visited before node11\nnode 8 should be visited before node9\nnode 8 should be visited before node20\nnode 8 should be visited before node27\nnode 9 should be visited before node20\nnode 10 should be visited before node32\nnode 10 should be visited before node19\nnode 10 should be visited before node13\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 10 should be visited before node28\nnode 10 should be visited before node14\nnode 10 should be visited before node21\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node20\nnode 10 should be visited before node15\nnode 11 should be visited before node9\nnode 12 should be visited before node0\nnode 12 should be visited before node28\nnode 12 should be visited before node14\nnode 12 should be visited before node26\nnode 12 should be visited before node29\nnode 12 should be visited before node21\nnode 12 should be visited before node11\nnode 12 should be visited before node20\nnode 12 should be visited before node15\nnode 12 should be visited before node27\nnode 13 should be visited before node0\nnode 13 should be visited before node28\nnode 13 should be visited before node14\nnode 13 should be visited before node30\nnode 13 should be visited before node17\nnode 13 should be visited before node22\nnode 13 should be visited before node29\nnode 13 should be visited before node6\nnode 13 should be visited before node18\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 13 should be visited before node9\nnode 13 should be visited before node2\nnode 13 should be visited before node20\nnode 14 should be visited before node30\nnode 14 should be visited before node17\nnode 14 should be visited before node22\nnode 14 should be visited before node26\nnode 14 should be visited before node21\nnode 14 should be visited before node11\nnode 14 should be visited before node9\nnode 14 should be visited before node20\nnode 14 should be visited before node15\nnode 14 should be visited before node27\nnode 16 should be visited before node7\nnode 16 should be visited before node5\nnode 16 should be visited before node25\nnode 16 should be visited before node29\nnode 16 should be visited before node21\nnode 16 should be visited before node3\nnode 16 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node20\nnode 16 should be visited before node27\nnode 17 should be visited before node26\nnode 17 should be visited before node29\nnode 17 should be visited before node6\nnode 17 should be visited before node15\nnode 18 should be visited before node3\nnode 18 should be visited before node9\nnode 18 should be visited before node2\nnode 18 should be visited before node15\nnode 19 should be visited before node1\nnode 19 should be visited before node4\nnode 19 should be visited before node13\nnode 19 should be visited before node7\nnode 19 should be visited before node0\nnode 19 should be visited before node28\nnode 19 should be visited before node14\nnode 19 should be visited before node30\nnode 19 should be visited before node22\nnode 19 should be visited before node26\nnode 19 should be visited before node21\nnode 19 should be visited before node6\nnode 19 should be visited before node9\nnode 19 should be visited before node20\nnode 19 should be visited before node27\nnode 20 should be visited before node15\nnode 21 should be visited before node6\nnode 21 should be visited before node3\nnode 22 should be visited before node21\nnode 22 should be visited before node3\nnode 22 should be visited before node9\nnode 22 should be visited before node20\nnode 23 should be visited before node31\nnode 23 should be visited before node8\nnode 23 should be visited before node32\nnode 23 should be visited before node0\nnode 23 should be visited before node5\nnode 23 should be visited before node22\nnode 23 should be visited before node26\nnode 23 should be visited before node6\nnode 23 should be visited before node18\nnode 23 should be visited before node3\nnode 23 should be visited before node11\nnode 23 should be visited before node27\nnode 24 should be visited before node23\nnode 24 should be visited before node8\nnode 24 should be visited before node10\nnode 24 should be visited before node12\nnode 24 should be visited before node1\nnode 24 should be visited before node4\nnode 24 should be visited before node13\nnode 24 should be visited before node28\nnode 24 should be visited before node14\nnode 24 should be visited before node30\nnode 24 should be visited before node25\nnode 24 should be visited before node17\nnode 24 should be visited before node26\nnode 24 should be visited before node3\nnode 24 should be visited before node20\nnode 25 should be visited before node22\nnode 25 should be visited before node29\nnode 25 should be visited before node21\nnode 25 should be visited before node6\nnode 25 should be visited before node11\nnode 25 should be visited before node9\nnode 25 should be visited before node20\nnode 25 should be visited before node27\nnode 26 should be visited before node18\nnode 26 should be visited before node3\nnode 26 should be visited before node2\nnode 26 should be visited before node15\nnode 26 should be visited before node27\nnode 28 should be visited before node14\nnode 28 should be visited before node30\nnode 28 should be visited before node25\nnode 28 should be visited before node22\nnode 28 should be visited before node26\nnode 28 should be visited before node21\nnode 28 should be visited before node18\nnode 28 should be visited before node3\nnode 28 should be visited before node11\nnode 28 should be visited before node20\nnode 28 should be visited before node15\nnode 29 should be visited before node6\nnode 29 should be visited before node18\nnode 29 should be visited before node11\nnode 29 should be visited before node9\nnode 29 should be visited before node2\nnode 29 should be visited before node15\nnode 30 should be visited before node17\nnode 30 should be visited before node22\nnode 30 should be visited before node29\nnode 30 should be visited before node3\nnode 30 should be visited before node11\nnode 30 should be visited before node20\nnode 30 should be visited before node27\nnode 31 should be visited before node8\nnode 31 should be visited before node12\nnode 31 should be visited before node4\nnode 31 should be visited before node16\nnode 31 should be visited before node7\nnode 31 should be visited before node0\nnode 31 should be visited before node28\nnode 31 should be visited before node30\nnode 31 should be visited before node21\nnode 31 should be visited before node6\nnode 31 should be visited before node3\nnode 32 should be visited before node19\nnode 32 should be visited before node13\nnode 32 should be visited before node0\nnode 32 should be visited before node5\nnode 32 should be visited before node14\nnode 32 should be visited before node30\nnode 32 should be visited before node22\nnode 32 should be visited before node21\nnode 32 should be visited before node3\nnode 32 should be visited before node2\nnode 32 should be visited before node15\nnode 32 should be visited before node27\nnode 33 should be visited before node10\nnode 33 should be visited before node19\nnode 33 should be visited before node4\nnode 33 should be visited before node13\nnode 33 should be visited before node5\nnode 33 should be visited before node14\nnode 33 should be visited before node30\nnode 33 should be visited before node25\nnode 33 should be visited before node22\nnode 33 should be visited before node21\nnode 33 should be visited before node6\nnode 33 should be visited before node18\nnode 33 should be visited before node3\nnode 33 should be visited before node11\nnode 33 should be visited before node2\nnode 33 should be visited before node20\nnode 33 should be visited before node15\nnode 33 should be visited before node27\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "24,23,31,8,33,12,10,32,19,1,13,4,16,7,0,5,28,14,25,30,17,22,26,29,21,18,6,3,2,11,27,9,20,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph1104",
        "image": "data/topology/graph_visual/hard/graph1104.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node18\nnode 0 should be visited before node21\nnode 0 should be visited before node8\nnode 0 should be visited before node11\nnode 0 should be visited before node26\nnode 0 should be visited before node23\nnode 0 should be visited before node2\nnode 0 should be visited before node13\nnode 0 should be visited before node7\nnode 0 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node13\nnode 2 should be visited before node16\nnode 2 should be visited before node17\nnode 2 should be visited before node1\nnode 2 should be visited before node33\nnode 2 should be visited before node12\nnode 3 should be visited before node25\nnode 3 should be visited before node23\nnode 3 should be visited before node19\nnode 3 should be visited before node17\nnode 3 should be visited before node33\nnode 3 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node11\nnode 4 should be visited before node25\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node28\nnode 5 should be visited before node24\nnode 5 should be visited before node23\nnode 5 should be visited before node28\nnode 5 should be visited before node16\nnode 6 should be visited before node31\nnode 6 should be visited before node15\nnode 6 should be visited before node27\nnode 6 should be visited before node3\nnode 6 should be visited before node4\nnode 6 should be visited before node8\nnode 6 should be visited before node23\nnode 6 should be visited before node13\nnode 6 should be visited before node16\nnode 6 should be visited before node12\nnode 8 should be visited before node24\nnode 8 should be visited before node32\nnode 8 should be visited before node25\nnode 8 should be visited before node33\nnode 8 should be visited before node12\nnode 9 should be visited before node13\nnode 9 should be visited before node28\nnode 9 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node14\nnode 10 should be visited before node27\nnode 10 should be visited before node21\nnode 10 should be visited before node3\nnode 10 should be visited before node26\nnode 10 should be visited before node17\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 11 should be visited before node25\nnode 11 should be visited before node19\nnode 11 should be visited before node28\nnode 11 should be visited before node16\nnode 11 should be visited before node17\nnode 11 should be visited before node1\nnode 11 should be visited before node33\nnode 13 should be visited before node28\nnode 13 should be visited before node17\nnode 13 should be visited before node33\nnode 13 should be visited before node12\nnode 14 should be visited before node18\nnode 14 should be visited before node3\nnode 14 should be visited before node1\nnode 14 should be visited before node12\nnode 15 should be visited before node18\nnode 15 should be visited before node27\nnode 15 should be visited before node4\nnode 15 should be visited before node24\nnode 15 should be visited before node25\nnode 15 should be visited before node26\nnode 15 should be visited before node23\nnode 15 should be visited before node28\nnode 15 should be visited before node7\nnode 15 should be visited before node1\nnode 16 should be visited before node17\nnode 16 should be visited before node1\nnode 17 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node24\nnode 18 should be visited before node26\nnode 18 should be visited before node16\nnode 18 should be visited before node17\nnode 18 should be visited before node33\nnode 18 should be visited before node12\nnode 19 should be visited before node16\nnode 20 should be visited before node5\nnode 20 should be visited before node15\nnode 20 should be visited before node18\nnode 20 should be visited before node34\nnode 20 should be visited before node8\nnode 20 should be visited before node24\nnode 20 should be visited before node23\nnode 20 should be visited before node9\nnode 20 should be visited before node19\nnode 20 should be visited before node17\nnode 20 should be visited before node12\nnode 21 should be visited before node3\nnode 21 should be visited before node34\nnode 21 should be visited before node4\nnode 21 should be visited before node9\nnode 21 should be visited before node2\nnode 21 should be visited before node13\nnode 21 should be visited before node7\nnode 21 should be visited before node1\nnode 22 should be visited before node5\nnode 22 should be visited before node3\nnode 22 should be visited before node24\nnode 22 should be visited before node25\nnode 22 should be visited before node9\nnode 22 should be visited before node7\nnode 22 should be visited before node16\nnode 22 should be visited before node33\nnode 23 should be visited before node7\nnode 23 should be visited before node17\nnode 23 should be visited before node33\nnode 24 should be visited before node16\nnode 24 should be visited before node17\nnode 25 should be visited before node2\nnode 25 should be visited before node13\nnode 25 should be visited before node1\nnode 25 should be visited before node33\nnode 26 should be visited before node2\nnode 26 should be visited before node13\nnode 26 should be visited before node12\nnode 27 should be visited before node3\nnode 27 should be visited before node34\nnode 27 should be visited before node4\nnode 27 should be visited before node32\nnode 27 should be visited before node11\nnode 27 should be visited before node13\nnode 27 should be visited before node28\nnode 27 should be visited before node33\nnode 27 should be visited before node12\nnode 28 should be visited before node7\nnode 29 should be visited before node15\nnode 29 should be visited before node18\nnode 29 should be visited before node3\nnode 29 should be visited before node34\nnode 29 should be visited before node32\nnode 29 should be visited before node11\nnode 29 should be visited before node25\nnode 29 should be visited before node13\nnode 29 should be visited before node7\nnode 29 should be visited before node16\nnode 29 should be visited before node17\nnode 30 should be visited before node6\nnode 30 should be visited before node14\nnode 30 should be visited before node5\nnode 30 should be visited before node27\nnode 30 should be visited before node34\nnode 30 should be visited before node4\nnode 30 should be visited before node23\nnode 30 should be visited before node19\nnode 31 should be visited before node5\nnode 31 should be visited before node27\nnode 31 should be visited before node21\nnode 31 should be visited before node24\nnode 31 should be visited before node32\nnode 31 should be visited before node11\nnode 31 should be visited before node28\nnode 31 should be visited before node1\nnode 32 should be visited before node11\nnode 34 should be visited before node4\nnode 34 should be visited before node32\nnode 34 should be visited before node25\nnode 34 should be visited before node2\nnode 34 should be visited before node13\nnode 34 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,10,20,22,29,30,6,14,31,15,5,21,18,27,26,3,34,23,4,8,9,24,32,11,25,2,19,13,16,28,33,17,1,7,12."
            }
        ]
    },
    {
        "id": "topology-hard-graph489",
        "image": "data/topology/graph_visual/hard/graph489.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 1 should be visited before node28\nnode 1 should be visited before node3\nnode 1 should be visited before node26\nnode 1 should be visited before node21\nnode 1 should be visited before node17\nnode 1 should be visited before node14\nnode 3 should be visited before node25\nnode 3 should be visited before node6\nnode 3 should be visited before node27\nnode 3 should be visited before node17\nnode 3 should be visited before node22\nnode 3 should be visited before node12\nnode 3 should be visited before node0\nnode 4 should be visited before node20\nnode 4 should be visited before node24\nnode 4 should be visited before node0\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node24\nnode 7 should be visited before node10\nnode 7 should be visited before node16\nnode 7 should be visited before node11\nnode 7 should be visited before node26\nnode 7 should be visited before node13\nnode 7 should be visited before node25\nnode 7 should be visited before node6\nnode 7 should be visited before node4\nnode 7 should be visited before node17\nnode 7 should be visited before node29\nnode 7 should be visited before node19\nnode 7 should be visited before node0\nnode 8 should be visited before node13\nnode 8 should be visited before node27\nnode 8 should be visited before node4\nnode 8 should be visited before node17\nnode 8 should be visited before node22\nnode 8 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node21\nnode 9 should be visited before node12\nnode 9 should be visited before node2\nnode 10 should be visited before node9\nnode 10 should be visited before node28\nnode 10 should be visited before node3\nnode 10 should be visited before node8\nnode 10 should be visited before node6\nnode 10 should be visited before node12\nnode 10 should be visited before node14\nnode 10 should be visited before node29\nnode 10 should be visited before node19\nnode 10 should be visited before node2\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 11 should be visited before node8\nnode 11 should be visited before node25\nnode 11 should be visited before node24\nnode 12 should be visited before node14\nnode 12 should be visited before node19\nnode 12 should be visited before node2\nnode 12 should be visited before node0\nnode 13 should be visited before node21\nnode 13 should be visited before node6\nnode 13 should be visited before node22\nnode 13 should be visited before node24\nnode 14 should be visited before node24\nnode 14 should be visited before node0\nnode 15 should be visited before node25\nnode 15 should be visited before node20\nnode 15 should be visited before node22\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 16 should be visited before node11\nnode 16 should be visited before node13\nnode 16 should be visited before node21\nnode 16 should be visited before node25\nnode 16 should be visited before node27\nnode 16 should be visited before node29\nnode 16 should be visited before node19\nnode 16 should be visited before node2\nnode 16 should be visited before node24\nnode 17 should be visited before node22\nnode 17 should be visited before node12\nnode 18 should be visited before node5\nnode 18 should be visited before node13\nnode 18 should be visited before node4\nnode 18 should be visited before node14\nnode 18 should be visited before node19\nnode 18 should be visited before node24\nnode 18 should be visited before node0\nnode 19 should be visited before node2\nnode 19 should be visited before node0\nnode 20 should be visited before node12\nnode 20 should be visited before node2\nnode 20 should be visited before node0\nnode 21 should be visited before node27\nnode 21 should be visited before node20\nnode 21 should be visited before node24\nnode 22 should be visited before node29\nnode 22 should be visited before node2\nnode 22 should be visited before node24\nnode 23 should be visited before node10\nnode 23 should be visited before node18\nnode 23 should be visited before node1\nnode 23 should be visited before node11\nnode 23 should be visited before node28\nnode 23 should be visited before node3\nnode 23 should be visited before node15\nnode 23 should be visited before node25\nnode 23 should be visited before node27\nnode 23 should be visited before node4\nnode 23 should be visited before node22\nnode 23 should be visited before node29\nnode 23 should be visited before node24\nnode 23 should be visited before node0\nnode 25 should be visited before node6\nnode 25 should be visited before node20\nnode 25 should be visited before node22\nnode 25 should be visited before node24\nnode 26 should be visited before node13\nnode 26 should be visited before node21\nnode 26 should be visited before node6\nnode 26 should be visited before node27\nnode 26 should be visited before node4\nnode 26 should be visited before node20\nnode 27 should be visited before node17\nnode 27 should be visited before node29\nnode 27 should be visited before node24\nnode 28 should be visited before node15\nnode 28 should be visited before node13\nnode 28 should be visited before node21\nnode 28 should be visited before node6\nnode 28 should be visited before node27\nnode 28 should be visited before node4\nnode 28 should be visited before node20\nnode 28 should be visited before node12\nnode 28 should be visited before node14\nnode 28 should be visited before node29\nnode 28 should be visited before node19\nnode 28 should be visited before node0\nnode 29 should be visited before node19\nnode 29 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,23,16,10,18,1,11,9,28,26,5,8,3,15,13,4,25,21,6,27,20,17,22,12,29,14,19,24,2,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph763",
        "image": "data/topology/graph_visual/hard/graph763.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node23\nnode 0 should be visited before node26\nnode 0 should be visited before node20\nnode 0 should be visited before node16\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 1 should be visited before node19\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node24\nnode 1 should be visited before node3\nnode 1 should be visited before node5\nnode 1 should be visited before node30\nnode 1 should be visited before node20\nnode 2 should be visited before node28\nnode 2 should be visited before node4\nnode 2 should be visited before node12\nnode 2 should be visited before node25\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 2 should be visited before node16\nnode 2 should be visited before node9\nnode 3 should be visited before node30\nnode 3 should be visited before node16\nnode 3 should be visited before node14\nnode 4 should be visited before node24\nnode 4 should be visited before node5\nnode 4 should be visited before node20\nnode 4 should be visited before node14\nnode 6 should be visited before node11\nnode 6 should be visited before node31\nnode 6 should be visited before node4\nnode 6 should be visited before node23\nnode 6 should be visited before node16\nnode 6 should be visited before node9\nnode 7 should be visited before node15\nnode 7 should be visited before node2\nnode 7 should be visited before node18\nnode 7 should be visited before node28\nnode 7 should be visited before node4\nnode 7 should be visited before node25\nnode 7 should be visited before node29\nnode 7 should be visited before node14\nnode 8 should be visited before node16\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node5\nnode 10 should be visited before node20\nnode 10 should be visited before node13\nnode 11 should be visited before node31\nnode 11 should be visited before node26\nnode 11 should be visited before node5\nnode 11 should be visited before node14\nnode 12 should be visited before node8\nnode 12 should be visited before node29\nnode 15 should be visited before node0\nnode 15 should be visited before node28\nnode 15 should be visited before node5\nnode 15 should be visited before node29\nnode 15 should be visited before node20\nnode 16 should be visited before node9\nnode 17 should be visited before node3\nnode 17 should be visited before node8\nnode 18 should be visited before node25\nnode 18 should be visited before node8\nnode 18 should be visited before node30\nnode 18 should be visited before node13\nnode 19 should be visited before node28\nnode 19 should be visited before node10\nnode 19 should be visited before node4\nnode 19 should be visited before node14\nnode 19 should be visited before node9\nnode 21 should be visited before node15\nnode 21 should be visited before node11\nnode 21 should be visited before node18\nnode 21 should be visited before node25\nnode 21 should be visited before node5\nnode 21 should be visited before node29\nnode 21 should be visited before node16\nnode 21 should be visited before node14\nnode 21 should be visited before node13\nnode 22 should be visited before node19\nnode 22 should be visited before node6\nnode 22 should be visited before node0\nnode 22 should be visited before node11\nnode 22 should be visited before node2\nnode 22 should be visited before node18\nnode 22 should be visited before node4\nnode 22 should be visited before node17\nnode 22 should be visited before node24\nnode 22 should be visited before node8\nnode 22 should be visited before node20\nnode 22 should be visited before node16\nnode 22 should be visited before node13\nnode 22 should be visited before node9\nnode 23 should be visited before node26\nnode 23 should be visited before node12\nnode 23 should be visited before node8\nnode 23 should be visited before node20\nnode 24 should be visited before node3\nnode 24 should be visited before node5\nnode 25 should be visited before node5\nnode 25 should be visited before node8\nnode 25 should be visited before node30\nnode 25 should be visited before node20\nnode 25 should be visited before node9\nnode 26 should be visited before node12\nnode 26 should be visited before node25\nnode 26 should be visited before node5\nnode 26 should be visited before node16\nnode 27 should be visited before node18\nnode 27 should be visited before node28\nnode 27 should be visited before node17\nnode 27 should be visited before node5\nnode 27 should be visited before node16\nnode 27 should be visited before node13\nnode 28 should be visited before node10\nnode 28 should be visited before node26\nnode 28 should be visited before node25\nnode 28 should be visited before node14\nnode 29 should be visited before node30\nnode 29 should be visited before node14\nnode 29 should be visited before node13\nnode 30 should be visited before node20\nnode 30 should be visited before node14\nnode 30 should be visited before node9\nnode 31 should be visited before node18\nnode 31 should be visited before node10\nnode 31 should be visited before node4\nnode 31 should be visited before node17\nnode 31 should be visited before node30\nnode 31 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,21,22,27,7,19,6,15,0,11,2,23,31,28,18,4,17,10,26,24,12,25,3,29,5,8,30,16,13,20,14,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph898",
        "image": "data/topology/graph_visual/hard/graph898.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node9\nnode 0 should be visited before node3\nnode 0 should be visited before node29\nnode 1 should be visited before node2\nnode 1 should be visited before node25\nnode 1 should be visited before node24\nnode 1 should be visited before node4\nnode 1 should be visited before node26\nnode 1 should be visited before node5\nnode 1 should be visited before node29\nnode 2 should be visited before node4\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node12\nnode 6 should be visited before node26\nnode 6 should be visited before node5\nnode 6 should be visited before node11\nnode 7 should be visited before node17\nnode 7 should be visited before node2\nnode 7 should be visited before node10\nnode 7 should be visited before node0\nnode 7 should be visited before node24\nnode 7 should be visited before node9\nnode 7 should be visited before node5\nnode 7 should be visited before node29\nnode 8 should be visited before node30\nnode 8 should be visited before node25\nnode 8 should be visited before node5\nnode 10 should be visited before node4\nnode 10 should be visited before node3\nnode 10 should be visited before node26\nnode 10 should be visited before node12\nnode 10 should be visited before node29\nnode 11 should be visited before node29\nnode 13 should be visited before node16\nnode 13 should be visited before node1\nnode 13 should be visited before node30\nnode 13 should be visited before node11\nnode 14 should be visited before node15\nnode 14 should be visited before node1\nnode 14 should be visited before node32\nnode 14 should be visited before node8\nnode 14 should be visited before node0\nnode 14 should be visited before node24\nnode 14 should be visited before node9\nnode 15 should be visited before node1\nnode 15 should be visited before node25\nnode 15 should be visited before node0\nnode 15 should be visited before node24\nnode 15 should be visited before node4\nnode 15 should be visited before node29\nnode 16 should be visited before node14\nnode 16 should be visited before node19\nnode 16 should be visited before node15\nnode 16 should be visited before node1\nnode 16 should be visited before node2\nnode 16 should be visited before node30\nnode 16 should be visited before node10\nnode 16 should be visited before node0\nnode 16 should be visited before node26\nnode 16 should be visited before node5\nnode 17 should be visited before node8\nnode 17 should be visited before node24\nnode 17 should be visited before node4\nnode 17 should be visited before node11\nnode 17 should be visited before node29\nnode 18 should be visited before node19\nnode 18 should be visited before node17\nnode 18 should be visited before node30\nnode 18 should be visited before node5\nnode 18 should be visited before node29\nnode 19 should be visited before node7\nnode 19 should be visited before node1\nnode 19 should be visited before node2\nnode 19 should be visited before node6\nnode 19 should be visited before node26\nnode 20 should be visited before node28\nnode 20 should be visited before node21\nnode 20 should be visited before node1\nnode 20 should be visited before node8\nnode 20 should be visited before node30\nnode 20 should be visited before node25\nnode 20 should be visited before node24\nnode 20 should be visited before node3\nnode 20 should be visited before node26\nnode 21 should be visited before node15\nnode 21 should be visited before node2\nnode 21 should be visited before node9\nnode 21 should be visited before node5\nnode 22 should be visited before node21\nnode 22 should be visited before node15\nnode 22 should be visited before node17\nnode 22 should be visited before node2\nnode 22 should be visited before node0\nnode 22 should be visited before node24\nnode 22 should be visited before node4\nnode 22 should be visited before node3\nnode 23 should be visited before node14\nnode 23 should be visited before node15\nnode 23 should be visited before node17\nnode 23 should be visited before node32\nnode 23 should be visited before node25\nnode 23 should be visited before node0\nnode 24 should be visited before node3\nnode 24 should be visited before node26\nnode 24 should be visited before node11\nnode 24 should be visited before node29\nnode 25 should be visited before node0\nnode 25 should be visited before node24\nnode 25 should be visited before node4\nnode 25 should be visited before node9\nnode 25 should be visited before node26\nnode 25 should be visited before node12\nnode 25 should be visited before node29\nnode 26 should be visited before node5\nnode 26 should be visited before node29\nnode 27 should be visited before node13\nnode 27 should be visited before node16\nnode 27 should be visited before node14\nnode 27 should be visited before node15\nnode 27 should be visited before node1\nnode 27 should be visited before node8\nnode 27 should be visited before node30\nnode 27 should be visited before node25\nnode 27 should be visited before node3\nnode 27 should be visited before node6\nnode 27 should be visited before node12\nnode 28 should be visited before node31\nnode 28 should be visited before node18\nnode 28 should be visited before node22\nnode 28 should be visited before node27\nnode 28 should be visited before node21\nnode 28 should be visited before node7\nnode 28 should be visited before node2\nnode 28 should be visited before node30\nnode 28 should be visited before node10\nnode 28 should be visited before node0\nnode 28 should be visited before node24\nnode 30 should be visited before node0\nnode 30 should be visited before node11\nnode 31 should be visited before node22\nnode 31 should be visited before node27\nnode 31 should be visited before node13\nnode 31 should be visited before node23\nnode 31 should be visited before node30\nnode 31 should be visited before node0\nnode 31 should be visited before node9\nnode 31 should be visited before node6\nnode 31 should be visited before node26\nnode 31 should be visited before node5\nnode 32 should be visited before node8\nnode 32 should be visited before node0\nnode 32 should be visited before node24\nnode 32 should be visited before node4\nnode 32 should be visited before node26\nnode 32 should be visited before node5\nnode 32 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "20,28,31,18,22,27,23,21,13,16,14,19,15,32,7,1,17,10,2,8,30,25,0,24,4,9,3,6,12,26,11,5,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph81",
        "image": "data/topology/graph_visual/hard/graph81.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node15\nnode 0 should be visited before node25\nnode 0 should be visited before node9\nnode 0 should be visited before node19\nnode 0 should be visited before node16\nnode 1 should be visited before node5\nnode 1 should be visited before node9\nnode 1 should be visited before node16\nnode 2 should be visited before node16\nnode 2 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node24\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node8\nnode 4 should be visited before node11\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 5 should be visited before node2\nnode 5 should be visited before node19\nnode 6 should be visited before node14\nnode 6 should be visited before node12\nnode 6 should be visited before node21\nnode 6 should be visited before node24\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 6 should be visited before node25\nnode 6 should be visited before node16\nnode 7 should be visited before node1\nnode 7 should be visited before node11\nnode 7 should be visited before node5\nnode 7 should be visited before node2\nnode 7 should be visited before node16\nnode 7 should be visited before node3\nnode 8 should be visited before node11\nnode 8 should be visited before node5\nnode 8 should be visited before node16\nnode 9 should be visited before node2\nnode 9 should be visited before node19\nnode 9 should be visited before node3\nnode 10 should be visited before node15\nnode 10 should be visited before node8\nnode 10 should be visited before node5\nnode 10 should be visited before node25\nnode 10 should be visited before node9\nnode 11 should be visited before node23\nnode 11 should be visited before node5\nnode 11 should be visited before node25\nnode 11 should be visited before node19\nnode 11 should be visited before node16\nnode 12 should be visited before node20\nnode 12 should be visited before node7\nnode 12 should be visited before node11\nnode 12 should be visited before node23\nnode 12 should be visited before node5\nnode 12 should be visited before node25\nnode 12 should be visited before node3\nnode 13 should be visited before node0\nnode 13 should be visited before node15\nnode 13 should be visited before node1\nnode 13 should be visited before node11\nnode 13 should be visited before node5\nnode 13 should be visited before node9\nnode 13 should be visited before node2\nnode 14 should be visited before node20\nnode 14 should be visited before node13\nnode 14 should be visited before node24\nnode 14 should be visited before node7\nnode 14 should be visited before node0\nnode 14 should be visited before node15\nnode 14 should be visited before node25\nnode 14 should be visited before node2\nnode 14 should be visited before node16\nnode 15 should be visited before node8\nnode 15 should be visited before node23\nnode 15 should be visited before node25\nnode 15 should be visited before node9\nnode 15 should be visited before node16\nnode 16 should be visited before node3\nnode 17 should be visited before node14\nnode 17 should be visited before node12\nnode 17 should be visited before node20\nnode 17 should be visited before node21\nnode 17 should be visited before node13\nnode 17 should be visited before node7\nnode 17 should be visited before node15\nnode 17 should be visited before node8\nnode 17 should be visited before node11\nnode 17 should be visited before node23\nnode 17 should be visited before node25\nnode 17 should be visited before node2\nnode 17 should be visited before node16\nnode 17 should be visited before node3\nnode 18 should be visited before node17\nnode 18 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node12\nnode 18 should be visited before node20\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node0\nnode 18 should be visited before node15\nnode 18 should be visited before node25\nnode 18 should be visited before node2\nnode 18 should be visited before node19\nnode 18 should be visited before node16\nnode 19 should be visited before node3\nnode 20 should be visited before node13\nnode 20 should be visited before node10\nnode 20 should be visited before node5\nnode 20 should be visited before node25\nnode 20 should be visited before node2\nnode 20 should be visited before node16\nnode 20 should be visited before node3\nnode 21 should be visited before node13\nnode 21 should be visited before node7\nnode 21 should be visited before node10\nnode 21 should be visited before node11\nnode 21 should be visited before node23\nnode 21 should be visited before node25\nnode 21 should be visited before node9\nnode 21 should be visited before node3\nnode 22 should be visited before node18\nnode 22 should be visited before node17\nnode 22 should be visited before node4\nnode 22 should be visited before node14\nnode 22 should be visited before node13\nnode 22 should be visited before node0\nnode 22 should be visited before node15\nnode 22 should be visited before node1\nnode 22 should be visited before node8\nnode 22 should be visited before node5\nnode 22 should be visited before node25\nnode 22 should be visited before node9\nnode 22 should be visited before node2\nnode 22 should be visited before node19\nnode 22 should be visited before node16\nnode 22 should be visited before node3\nnode 23 should be visited before node19\nnode 23 should be visited before node3\nnode 24 should be visited before node7\nnode 24 should be visited before node10\nnode 24 should be visited before node0\nnode 24 should be visited before node15\nnode 25 should be visited before node2\nnode 25 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "22,18,17,4,6,14,12,21,24,20,7,13,10,0,1,15,8,9,11,23,5,25,2,19,16,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph561",
        "image": "data/topology/graph_visual/hard/graph561.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node17\nnode 0 should be visited before node27\nnode 0 should be visited before node9\nnode 0 should be visited before node21\nnode 0 should be visited before node10\nnode 0 should be visited before node13\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node7\nnode 1 should be visited before node20\nnode 1 should be visited before node29\nnode 1 should be visited before node16\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 1 should be visited before node12\nnode 1 should be visited before node0\nnode 1 should be visited before node9\nnode 1 should be visited before node14\nnode 1 should be visited before node21\nnode 1 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 1 should be visited before node26\nnode 1 should be visited before node13\nnode 1 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node23\nnode 2 should be visited before node28\nnode 2 should be visited before node26\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 3 should be visited before node23\nnode 3 should be visited before node26\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 4 should be visited before node8\nnode 4 should be visited before node5\nnode 4 should be visited before node27\nnode 4 should be visited before node9\nnode 4 should be visited before node14\nnode 4 should be visited before node21\nnode 4 should be visited before node18\nnode 4 should be visited before node24\nnode 4 should be visited before node23\nnode 4 should be visited before node10\nnode 4 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node27\nnode 5 should be visited before node14\nnode 5 should be visited before node3\nnode 5 should be visited before node23\nnode 5 should be visited before node28\nnode 5 should be visited before node13\nnode 5 should be visited before node6\nnode 6 should be visited before node7\nnode 8 should be visited before node19\nnode 8 should be visited before node0\nnode 8 should be visited before node27\nnode 8 should be visited before node9\nnode 8 should be visited before node3\nnode 8 should be visited before node24\nnode 8 should be visited before node23\nnode 8 should be visited before node10\nnode 8 should be visited before node26\nnode 8 should be visited before node13\nnode 9 should be visited before node14\nnode 9 should be visited before node18\nnode 9 should be visited before node3\nnode 9 should be visited before node24\nnode 9 should be visited before node23\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 10 should be visited before node26\nnode 10 should be visited before node11\nnode 10 should be visited before node6\nnode 12 should be visited before node2\nnode 12 should be visited before node27\nnode 12 should be visited before node9\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node18\nnode 12 should be visited before node3\nnode 12 should be visited before node10\nnode 12 should be visited before node13\nnode 12 should be visited before node11\nnode 12 should be visited before node7\nnode 14 should be visited before node18\nnode 14 should be visited before node3\nnode 14 should be visited before node24\nnode 14 should be visited before node23\nnode 14 should be visited before node10\nnode 14 should be visited before node28\nnode 15 should be visited before node16\nnode 15 should be visited before node4\nnode 15 should be visited before node19\nnode 15 should be visited before node12\nnode 15 should be visited before node2\nnode 15 should be visited before node0\nnode 15 should be visited before node17\nnode 15 should be visited before node9\nnode 15 should be visited before node18\nnode 15 should be visited before node24\nnode 15 should be visited before node23\nnode 15 should be visited before node28\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 16 should be visited before node12\nnode 16 should be visited before node2\nnode 16 should be visited before node5\nnode 16 should be visited before node0\nnode 16 should be visited before node17\nnode 16 should be visited before node27\nnode 16 should be visited before node9\nnode 16 should be visited before node10\nnode 16 should be visited before node11\nnode 16 should be visited before node6\nnode 17 should be visited before node9\nnode 17 should be visited before node14\nnode 17 should be visited before node21\nnode 17 should be visited before node18\nnode 17 should be visited before node28\nnode 17 should be visited before node26\nnode 17 should be visited before node13\nnode 17 should be visited before node6\nnode 18 should be visited before node24\nnode 18 should be visited before node10\nnode 18 should be visited before node26\nnode 18 should be visited before node11\nnode 18 should be visited before node7\nnode 19 should be visited before node5\nnode 19 should be visited before node0\nnode 19 should be visited before node9\nnode 19 should be visited before node21\nnode 19 should be visited before node18\nnode 19 should be visited before node23\nnode 19 should be visited before node28\nnode 19 should be visited before node26\nnode 19 should be visited before node6\nnode 20 should be visited before node8\nnode 20 should be visited before node5\nnode 20 should be visited before node17\nnode 20 should be visited before node27\nnode 20 should be visited before node14\nnode 20 should be visited before node18\nnode 20 should be visited before node24\nnode 20 should be visited before node23\nnode 20 should be visited before node28\nnode 20 should be visited before node13\nnode 20 should be visited before node11\nnode 20 should be visited before node6\nnode 21 should be visited before node18\nnode 21 should be visited before node26\nnode 21 should be visited before node7\nnode 22 should be visited before node15\nnode 22 should be visited before node20\nnode 22 should be visited before node25\nnode 22 should be visited before node4\nnode 22 should be visited before node19\nnode 22 should be visited before node12\nnode 22 should be visited before node2\nnode 22 should be visited before node0\nnode 22 should be visited before node27\nnode 22 should be visited before node9\nnode 22 should be visited before node14\nnode 22 should be visited before node21\nnode 22 should be visited before node10\nnode 22 should be visited before node28\nnode 22 should be visited before node26\nnode 22 should be visited before node13\nnode 22 should be visited before node6\nnode 22 should be visited before node7\nnode 23 should be visited before node10\nnode 23 should be visited before node13\nnode 23 should be visited before node11\nnode 23 should be visited before node6\nnode 24 should be visited before node28\nnode 24 should be visited before node26\nnode 24 should be visited before node13\nnode 24 should be visited before node6\nnode 24 should be visited before node7\nnode 25 should be visited before node16\nnode 25 should be visited before node4\nnode 25 should be visited before node8\nnode 25 should be visited before node12\nnode 25 should be visited before node17\nnode 25 should be visited before node9\nnode 25 should be visited before node24\nnode 25 should be visited before node23\nnode 25 should be visited before node10\nnode 25 should be visited before node28\nnode 25 should be visited before node26\nnode 27 should be visited before node9\nnode 27 should be visited before node14\nnode 27 should be visited before node21\nnode 27 should be visited before node18\nnode 27 should be visited before node3\nnode 27 should be visited before node24\nnode 27 should be visited before node23\nnode 27 should be visited before node28\nnode 27 should be visited before node11\nnode 27 should be visited before node7\nnode 28 should be visited before node11\nnode 28 should be visited before node6\nnode 29 should be visited before node25\nnode 29 should be visited before node16\nnode 29 should be visited before node19\nnode 29 should be visited before node5\nnode 29 should be visited before node17\nnode 29 should be visited before node27\nnode 29 should be visited before node9\nnode 29 should be visited before node14\nnode 29 should be visited before node3\nnode 29 should be visited before node23\nnode 29 should be visited before node10\nnode 29 should be visited before node28\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,22,29,15,20,25,16,4,12,8,2,19,5,0,17,27,9,21,14,18,3,24,23,28,10,13,26,11,6,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph516",
        "image": "data/topology/graph_visual/hard/graph516.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node10\nnode 0 should be visited before node23\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node25\nnode 1 should be visited before node12\nnode 1 should be visited before node23\nnode 1 should be visited before node5\nnode 2 should be visited before node25\nnode 2 should be visited before node23\nnode 3 should be visited before node28\nnode 3 should be visited before node18\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node25\nnode 3 should be visited before node11\nnode 3 should be visited before node5\nnode 4 should be visited before node26\nnode 4 should be visited before node23\nnode 6 should be visited before node7\nnode 6 should be visited before node22\nnode 6 should be visited before node4\nnode 6 should be visited before node2\nnode 6 should be visited before node25\nnode 6 should be visited before node11\nnode 6 should be visited before node5\nnode 7 should be visited before node4\nnode 7 should be visited before node2\nnode 7 should be visited before node25\nnode 7 should be visited before node8\nnode 8 should be visited before node23\nnode 8 should be visited before node5\nnode 9 should be visited before node6\nnode 9 should be visited before node1\nnode 9 should be visited before node15\nnode 9 should be visited before node24\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 10 should be visited before node12\nnode 10 should be visited before node8\nnode 10 should be visited before node26\nnode 10 should be visited before node11\nnode 10 should be visited before node23\nnode 11 should be visited before node5\nnode 12 should be visited before node26\nnode 12 should be visited before node23\nnode 13 should be visited before node9\nnode 13 should be visited before node2\nnode 13 should be visited before node10\nnode 13 should be visited before node23\nnode 14 should be visited before node3\nnode 14 should be visited before node17\nnode 14 should be visited before node20\nnode 14 should be visited before node6\nnode 14 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node16\nnode 14 should be visited before node22\nnode 14 should be visited before node4\nnode 14 should be visited before node12\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 15 should be visited before node22\nnode 15 should be visited before node8\nnode 16 should be visited before node10\nnode 16 should be visited before node12\nnode 16 should be visited before node26\nnode 17 should be visited before node27\nnode 17 should be visited before node6\nnode 17 should be visited before node0\nnode 17 should be visited before node12\nnode 17 should be visited before node8\nnode 18 should be visited before node16\nnode 18 should be visited before node0\nnode 18 should be visited before node25\nnode 19 should be visited before node29\nnode 19 should be visited before node21\nnode 19 should be visited before node18\nnode 19 should be visited before node2\nnode 19 should be visited before node0\nnode 19 should be visited before node12\nnode 19 should be visited before node8\nnode 19 should be visited before node11\nnode 20 should be visited before node6\nnode 20 should be visited before node24\nnode 20 should be visited before node18\nnode 20 should be visited before node7\nnode 20 should be visited before node10\nnode 20 should be visited before node12\nnode 20 should be visited before node26\nnode 20 should be visited before node11\nnode 21 should be visited before node9\nnode 21 should be visited before node16\nnode 21 should be visited before node22\nnode 21 should be visited before node25\nnode 21 should be visited before node8\nnode 21 should be visited before node11\nnode 22 should be visited before node4\nnode 22 should be visited before node10\nnode 22 should be visited before node8\nnode 22 should be visited before node26\nnode 22 should be visited before node5\nnode 24 should be visited before node22\nnode 24 should be visited before node25\nnode 24 should be visited before node10\nnode 24 should be visited before node8\nnode 24 should be visited before node11\nnode 25 should be visited before node10\nnode 25 should be visited before node12\nnode 25 should be visited before node23\nnode 25 should be visited before node5\nnode 27 should be visited before node22\nnode 27 should be visited before node4\nnode 27 should be visited before node0\nnode 27 should be visited before node12\nnode 27 should be visited before node8\nnode 27 should be visited before node26\nnode 27 should be visited before node23\nnode 27 should be visited before node5\nnode 28 should be visited before node9\nnode 28 should be visited before node1\nnode 28 should be visited before node15\nnode 28 should be visited before node18\nnode 28 should be visited before node2\nnode 28 should be visited before node0\nnode 28 should be visited before node10\nnode 28 should be visited before node5\nnode 29 should be visited before node27\nnode 29 should be visited before node18\nnode 29 should be visited before node25\nnode 29 should be visited before node10\nnode 29 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,14,19,3,17,20,29,21,28,27,9,18,6,1,15,24,16,0,7,22,2,4,25,10,12,8,11,26,23,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph919",
        "image": "data/topology/graph_visual/hard/graph919.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node32\nnode 0 should be visited before node28\nnode 1 should be visited before node14\nnode 1 should be visited before node16\nnode 1 should be visited before node6\nnode 1 should be visited before node3\nnode 1 should be visited before node20\nnode 1 should be visited before node24\nnode 1 should be visited before node15\nnode 1 should be visited before node22\nnode 1 should be visited before node25\nnode 1 should be visited before node0\nnode 1 should be visited before node31\nnode 1 should be visited before node30\nnode 1 should be visited before node32\nnode 1 should be visited before node28\nnode 2 should be visited before node25\nnode 2 should be visited before node0\nnode 2 should be visited before node30\nnode 2 should be visited before node5\nnode 2 should be visited before node11\nnode 2 should be visited before node28\nnode 3 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node24\nnode 3 should be visited before node7\nnode 3 should be visited before node8\nnode 3 should be visited before node17\nnode 3 should be visited before node15\nnode 3 should be visited before node22\nnode 3 should be visited before node2\nnode 3 should be visited before node0\nnode 3 should be visited before node31\nnode 3 should be visited before node5\nnode 3 should be visited before node32\nnode 4 should be visited before node20\nnode 4 should be visited before node24\nnode 4 should be visited before node26\nnode 4 should be visited before node8\nnode 4 should be visited before node22\nnode 4 should be visited before node25\nnode 4 should be visited before node30\nnode 4 should be visited before node5\nnode 4 should be visited before node32\nnode 5 should be visited before node11\nnode 6 should be visited before node4\nnode 6 should be visited before node20\nnode 6 should be visited before node24\nnode 6 should be visited before node26\nnode 6 should be visited before node13\nnode 6 should be visited before node21\nnode 6 should be visited before node25\nnode 6 should be visited before node0\nnode 6 should be visited before node30\nnode 6 should be visited before node5\nnode 6 should be visited before node11\nnode 6 should be visited before node28\nnode 7 should be visited before node21\nnode 7 should be visited before node22\nnode 7 should be visited before node2\nnode 7 should be visited before node25\nnode 7 should be visited before node29\nnode 7 should be visited before node0\nnode 7 should be visited before node31\nnode 7 should be visited before node11\nnode 8 should be visited before node22\nnode 8 should be visited before node2\nnode 8 should be visited before node25\nnode 8 should be visited before node29\nnode 8 should be visited before node0\nnode 8 should be visited before node31\nnode 8 should be visited before node30\nnode 8 should be visited before node32\nnode 9 should be visited before node12\nnode 9 should be visited before node19\nnode 9 should be visited before node23\nnode 9 should be visited before node24\nnode 9 should be visited before node26\nnode 9 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node17\nnode 9 should be visited before node15\nnode 9 should be visited before node21\nnode 9 should be visited before node22\nnode 9 should be visited before node2\nnode 9 should be visited before node29\nnode 9 should be visited before node0\nnode 9 should be visited before node31\nnode 9 should be visited before node30\nnode 9 should be visited before node5\nnode 10 should be visited before node27\nnode 10 should be visited before node12\nnode 10 should be visited before node16\nnode 10 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node20\nnode 10 should be visited before node26\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 10 should be visited before node15\nnode 10 should be visited before node25\nnode 10 should be visited before node30\nnode 10 should be visited before node11\nnode 10 should be visited before node28\nnode 11 should be visited before node28\nnode 12 should be visited before node6\nnode 12 should be visited before node3\nnode 12 should be visited before node20\nnode 12 should be visited before node13\nnode 12 should be visited before node7\nnode 12 should be visited before node8\nnode 12 should be visited before node22\nnode 12 should be visited before node25\nnode 12 should be visited before node32\nnode 13 should be visited before node7\nnode 13 should be visited before node17\nnode 13 should be visited before node15\nnode 13 should be visited before node22\nnode 13 should be visited before node2\nnode 13 should be visited before node25\nnode 13 should be visited before node29\nnode 13 should be visited before node0\nnode 13 should be visited before node32\nnode 13 should be visited before node28\nnode 14 should be visited before node23\nnode 14 should be visited before node6\nnode 14 should be visited before node20\nnode 14 should be visited before node26\nnode 14 should be visited before node8\nnode 14 should be visited before node17\nnode 14 should be visited before node21\nnode 14 should be visited before node22\nnode 14 should be visited before node2\nnode 14 should be visited before node25\nnode 14 should be visited before node29\nnode 14 should be visited before node0\nnode 14 should be visited before node31\nnode 14 should be visited before node5\nnode 15 should be visited before node21\nnode 15 should be visited before node22\nnode 15 should be visited before node25\nnode 15 should be visited before node31\nnode 15 should be visited before node30\nnode 16 should be visited before node3\nnode 16 should be visited before node20\nnode 16 should be visited before node24\nnode 16 should be visited before node26\nnode 16 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node21\nnode 16 should be visited before node22\nnode 16 should be visited before node2\nnode 16 should be visited before node25\nnode 16 should be visited before node0\nnode 16 should be visited before node30\nnode 16 should be visited before node5\nnode 16 should be visited before node32\nnode 16 should be visited before node28\nnode 17 should be visited before node15\nnode 17 should be visited before node21\nnode 17 should be visited before node29\nnode 17 should be visited before node30\nnode 17 should be visited before node11\nnode 18 should be visited before node16\nnode 18 should be visited before node20\nnode 18 should be visited before node24\nnode 18 should be visited before node8\nnode 18 should be visited before node15\nnode 18 should be visited before node21\nnode 18 should be visited before node22\nnode 18 should be visited before node2\nnode 18 should be visited before node31\nnode 18 should be visited before node5\nnode 18 should be visited before node11\nnode 18 should be visited before node32\nnode 19 should be visited before node14\nnode 19 should be visited before node23\nnode 19 should be visited before node6\nnode 19 should be visited before node20\nnode 19 should be visited before node24\nnode 19 should be visited before node17\nnode 19 should be visited before node15\nnode 19 should be visited before node22\nnode 19 should be visited before node25\nnode 19 should be visited before node29\nnode 19 should be visited before node0\nnode 19 should be visited before node31\nnode 19 should be visited before node30\nnode 19 should be visited before node5\nnode 19 should be visited before node11\nnode 20 should be visited before node24\nnode 20 should be visited before node26\nnode 20 should be visited before node7\nnode 20 should be visited before node17\nnode 20 should be visited before node15\nnode 20 should be visited before node21\nnode 20 should be visited before node22\nnode 20 should be visited before node2\nnode 20 should be visited before node31\nnode 20 should be visited before node30\nnode 20 should be visited before node5\nnode 20 should be visited before node11\nnode 20 should be visited before node28\nnode 21 should be visited before node22\nnode 21 should be visited before node0\nnode 21 should be visited before node31\nnode 21 should be visited before node11\nnode 21 should be visited before node32\nnode 21 should be visited before node28\nnode 22 should be visited before node25\nnode 22 should be visited before node0\nnode 22 should be visited before node5\nnode 22 should be visited before node28\nnode 23 should be visited before node16\nnode 23 should be visited before node6\nnode 23 should be visited before node26\nnode 23 should be visited before node7\nnode 23 should be visited before node17\nnode 23 should be visited before node15\nnode 23 should be visited before node22\nnode 23 should be visited before node25\nnode 23 should be visited before node30\nnode 23 should be visited before node5\nnode 23 should be visited before node11\nnode 23 should be visited before node32\nnode 23 should be visited before node28\nnode 24 should be visited before node26\nnode 24 should be visited before node13\nnode 24 should be visited before node7\nnode 24 should be visited before node15\nnode 24 should be visited before node22\nnode 24 should be visited before node2\nnode 24 should be visited before node31\nnode 24 should be visited before node5\nnode 24 should be visited before node28\nnode 25 should be visited before node0\nnode 25 should be visited before node5\nnode 26 should be visited before node22\nnode 26 should be visited before node2\nnode 26 should be visited before node25\nnode 26 should be visited before node0\nnode 26 should be visited before node28\nnode 27 should be visited before node1\nnode 27 should be visited before node12\nnode 27 should be visited before node18\nnode 27 should be visited before node23\nnode 27 should be visited before node6\nnode 27 should be visited before node4\nnode 27 should be visited before node24\nnode 27 should be visited before node26\nnode 27 should be visited before node13\nnode 27 should be visited before node7\nnode 27 should be visited before node8\nnode 27 should be visited before node17\nnode 27 should be visited before node22\nnode 27 should be visited before node2\nnode 27 should be visited before node0\nnode 27 should be visited before node5\nnode 27 should be visited before node11\nnode 27 should be visited before node32\nnode 27 should be visited before node28\nnode 29 should be visited before node30\nnode 29 should be visited before node5\nnode 29 should be visited before node11\nnode 30 should be visited before node5\nnode 30 should be visited before node11\nnode 31 should be visited before node5\nnode 31 should be visited before node28\nnode 32 should be visited before node28\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,10,19,27,1,12,18,14,23,16,6,3,4,20,8,24,26,13,7,17,2,15,29,21,30,22,31,25,0,5,32,11,28."
            }
        ]
    },
    {
        "id": "topology-hard-graph1019",
        "image": "data/topology/graph_visual/hard/graph1019.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node7\nnode 0 should be visited before node14\nnode 0 should be visited before node16\nnode 0 should be visited before node9\nnode 0 should be visited before node11\nnode 1 should be visited before node11\nnode 1 should be visited before node3\nnode 2 should be visited before node30\nnode 2 should be visited before node28\nnode 2 should be visited before node27\nnode 4 should be visited before node23\nnode 4 should be visited before node18\nnode 4 should be visited before node31\nnode 4 should be visited before node1\nnode 4 should be visited before node14\nnode 4 should be visited before node16\nnode 4 should be visited before node21\nnode 4 should be visited before node27\nnode 5 should be visited before node2\nnode 5 should be visited before node21\nnode 5 should be visited before node3\nnode 5 should be visited before node29\nnode 6 should be visited before node16\nnode 6 should be visited before node27\nnode 6 should be visited before node3\nnode 7 should be visited before node14\nnode 7 should be visited before node25\nnode 7 should be visited before node6\nnode 7 should be visited before node5\nnode 7 should be visited before node9\nnode 8 should be visited before node33\nnode 8 should be visited before node1\nnode 8 should be visited before node25\nnode 8 should be visited before node6\nnode 8 should be visited before node16\nnode 8 should be visited before node22\nnode 8 should be visited before node11\nnode 9 should be visited before node28\nnode 9 should be visited before node11\nnode 9 should be visited before node21\nnode 10 should be visited before node19\nnode 10 should be visited before node30\nnode 10 should be visited before node28\nnode 10 should be visited before node27\nnode 11 should be visited before node27\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node26\nnode 12 should be visited before node1\nnode 12 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node5\nnode 12 should be visited before node19\nnode 12 should be visited before node9\nnode 12 should be visited before node11\nnode 13 should be visited before node31\nnode 13 should be visited before node6\nnode 13 should be visited before node16\nnode 13 should be visited before node30\nnode 13 should be visited before node28\nnode 13 should be visited before node27\nnode 14 should be visited before node19\nnode 14 should be visited before node2\nnode 14 should be visited before node28\nnode 14 should be visited before node27\nnode 15 should be visited before node13\nnode 15 should be visited before node31\nnode 15 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node16\nnode 15 should be visited before node19\nnode 15 should be visited before node2\nnode 15 should be visited before node30\nnode 15 should be visited before node28\nnode 15 should be visited before node21\nnode 15 should be visited before node27\nnode 15 should be visited before node3\nnode 16 should be visited before node19\nnode 16 should be visited before node9\nnode 16 should be visited before node2\nnode 16 should be visited before node30\nnode 16 should be visited before node11\nnode 16 should be visited before node29\nnode 17 should be visited before node13\nnode 17 should be visited before node31\nnode 17 should be visited before node0\nnode 17 should be visited before node7\nnode 17 should be visited before node5\nnode 17 should be visited before node21\nnode 17 should be visited before node27\nnode 17 should be visited before node3\nnode 18 should be visited before node24\nnode 18 should be visited before node14\nnode 18 should be visited before node16\nnode 18 should be visited before node27\nnode 18 should be visited before node3\nnode 19 should be visited before node9\nnode 19 should be visited before node11\nnode 19 should be visited before node21\nnode 20 should be visited before node17\nnode 20 should be visited before node24\nnode 20 should be visited before node31\nnode 20 should be visited before node1\nnode 20 should be visited before node7\nnode 20 should be visited before node25\nnode 20 should be visited before node6\nnode 20 should be visited before node22\nnode 20 should be visited before node19\nnode 20 should be visited before node2\nnode 20 should be visited before node21\nnode 20 should be visited before node3\nnode 22 should be visited before node19\nnode 22 should be visited before node27\nnode 23 should be visited before node18\nnode 23 should be visited before node15\nnode 23 should be visited before node1\nnode 23 should be visited before node25\nnode 23 should be visited before node21\nnode 24 should be visited before node31\nnode 24 should be visited before node1\nnode 24 should be visited before node0\nnode 24 should be visited before node14\nnode 24 should be visited before node10\nnode 24 should be visited before node6\nnode 24 should be visited before node22\nnode 24 should be visited before node5\nnode 25 should be visited before node16\nnode 25 should be visited before node2\nnode 25 should be visited before node21\nnode 26 should be visited before node24\nnode 26 should be visited before node31\nnode 26 should be visited before node1\nnode 26 should be visited before node0\nnode 26 should be visited before node7\nnode 26 should be visited before node10\nnode 26 should be visited before node21\nnode 26 should be visited before node29\nnode 27 should be visited before node29\nnode 28 should be visited before node11\nnode 30 should be visited before node28\nnode 30 should be visited before node11\nnode 31 should be visited before node25\nnode 31 should be visited before node10\nnode 31 should be visited before node3\nnode 31 should be visited before node29\nnode 32 should be visited before node12\nnode 32 should be visited before node6\nnode 32 should be visited before node16\nnode 32 should be visited before node22\nnode 32 should be visited before node3\nnode 33 should be visited before node23\nnode 33 should be visited before node12\nnode 33 should be visited before node0\nnode 33 should be visited before node10\nnode 33 should be visited before node6\nnode 33 should be visited before node22\nnode 33 should be visited before node19\nnode 33 should be visited before node9\nnode 33 should be visited before node2\nnode 33 should be visited before node11\nnode 33 should be visited before node21\nnode 33 should be visited before node29\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,8,32,33,23,12,15,18,20,26,17,24,13,1,0,22,31,7,10,14,25,6,5,16,3,19,2,9,30,21,28,11,27,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph454",
        "image": "data/topology/graph_visual/hard/graph454.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node12\nnode 0 should be visited before node13\nnode 0 should be visited before node22\nnode 1 should be visited before node14\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 1 should be visited before node22\nnode 1 should be visited before node2\nnode 1 should be visited before node27\nnode 1 should be visited before node9\nnode 1 should be visited before node15\nnode 2 should be visited before node21\nnode 2 should be visited before node9\nnode 2 should be visited before node15\nnode 2 should be visited before node11\nnode 3 should be visited before node16\nnode 3 should be visited before node24\nnode 3 should be visited before node8\nnode 3 should be visited before node7\nnode 3 should be visited before node0\nnode 3 should be visited before node26\nnode 3 should be visited before node23\nnode 3 should be visited before node19\nnode 3 should be visited before node12\nnode 3 should be visited before node13\nnode 3 should be visited before node1\nnode 3 should be visited before node14\nnode 3 should be visited before node22\nnode 3 should be visited before node20\nnode 3 should be visited before node27\nnode 3 should be visited before node9\nnode 4 should be visited before node16\nnode 4 should be visited before node18\nnode 4 should be visited before node6\nnode 4 should be visited before node26\nnode 4 should be visited before node19\nnode 4 should be visited before node28\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 4 should be visited before node10\nnode 4 should be visited before node22\nnode 4 should be visited before node20\nnode 4 should be visited before node21\nnode 4 should be visited before node27\nnode 4 should be visited before node9\nnode 4 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node26\nnode 6 should be visited before node25\nnode 6 should be visited before node13\nnode 6 should be visited before node1\nnode 6 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node20\nnode 6 should be visited before node2\nnode 6 should be visited before node21\nnode 7 should be visited before node0\nnode 7 should be visited before node19\nnode 7 should be visited before node13\nnode 7 should be visited before node20\nnode 7 should be visited before node27\nnode 7 should be visited before node9\nnode 7 should be visited before node11\nnode 8 should be visited before node6\nnode 8 should be visited before node7\nnode 8 should be visited before node0\nnode 8 should be visited before node28\nnode 8 should be visited before node13\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node22\nnode 8 should be visited before node20\nnode 8 should be visited before node27\nnode 8 should be visited before node15\nnode 9 should be visited before node11\nnode 10 should be visited before node5\nnode 10 should be visited before node22\nnode 10 should be visited before node2\nnode 10 should be visited before node15\nnode 12 should be visited before node28\nnode 12 should be visited before node13\nnode 12 should be visited before node17\nnode 12 should be visited before node14\nnode 12 should be visited before node10\nnode 12 should be visited before node5\nnode 12 should be visited before node22\nnode 12 should be visited before node27\nnode 12 should be visited before node9\nnode 12 should be visited before node15\nnode 12 should be visited before node11\nnode 13 should be visited before node17\nnode 13 should be visited before node10\nnode 13 should be visited before node22\nnode 13 should be visited before node20\nnode 13 should be visited before node2\nnode 13 should be visited before node21\nnode 13 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node5\nnode 14 should be visited before node21\nnode 14 should be visited before node9\nnode 16 should be visited before node24\nnode 16 should be visited before node8\nnode 16 should be visited before node18\nnode 16 should be visited before node23\nnode 16 should be visited before node19\nnode 16 should be visited before node25\nnode 16 should be visited before node28\nnode 16 should be visited before node17\nnode 16 should be visited before node27\nnode 16 should be visited before node15\nnode 16 should be visited before node11\nnode 17 should be visited before node20\nnode 18 should be visited before node6\nnode 18 should be visited before node19\nnode 18 should be visited before node12\nnode 18 should be visited before node25\nnode 18 should be visited before node28\nnode 18 should be visited before node17\nnode 18 should be visited before node10\nnode 18 should be visited before node20\nnode 18 should be visited before node2\nnode 18 should be visited before node21\nnode 18 should be visited before node27\nnode 18 should be visited before node11\nnode 19 should be visited before node12\nnode 19 should be visited before node25\nnode 19 should be visited before node13\nnode 19 should be visited before node17\nnode 19 should be visited before node14\nnode 19 should be visited before node10\nnode 19 should be visited before node22\nnode 19 should be visited before node20\nnode 19 should be visited before node2\nnode 19 should be visited before node21\nnode 19 should be visited before node15\nnode 20 should be visited before node2\nnode 20 should be visited before node27\nnode 20 should be visited before node9\nnode 20 should be visited before node15\nnode 22 should be visited before node27\nnode 22 should be visited before node9\nnode 22 should be visited before node15\nnode 23 should be visited before node19\nnode 23 should be visited before node12\nnode 23 should be visited before node13\nnode 23 should be visited before node1\nnode 23 should be visited before node17\nnode 23 should be visited before node22\nnode 23 should be visited before node27\nnode 23 should be visited before node11\nnode 24 should be visited before node8\nnode 24 should be visited before node19\nnode 24 should be visited before node12\nnode 24 should be visited before node25\nnode 24 should be visited before node13\nnode 24 should be visited before node1\nnode 24 should be visited before node14\nnode 24 should be visited before node5\nnode 24 should be visited before node2\nnode 24 should be visited before node21\nnode 24 should be visited before node27\nnode 24 should be visited before node9\nnode 25 should be visited before node13\nnode 25 should be visited before node1\nnode 25 should be visited before node17\nnode 25 should be visited before node10\nnode 25 should be visited before node20\nnode 25 should be visited before node2\nnode 25 should be visited before node21\nnode 25 should be visited before node27\nnode 25 should be visited before node9\nnode 25 should be visited before node15\nnode 25 should be visited before node11\nnode 26 should be visited before node12\nnode 26 should be visited before node28\nnode 26 should be visited before node1\nnode 26 should be visited before node2\nnode 26 should be visited before node27\nnode 26 should be visited before node9\nnode 26 should be visited before node11\nnode 27 should be visited before node9\nnode 27 should be visited before node15\nnode 28 should be visited before node1\nnode 28 should be visited before node17\nnode 28 should be visited before node14\nnode 28 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,4,16,24,18,23,8,6,7,26,0,19,12,25,28,13,1,17,14,20,10,5,22,2,27,21,9,15,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph593",
        "image": "data/topology/graph_visual/hard/graph593.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node12\nnode 0 should be visited before node19\nnode 0 should be visited before node13\nnode 0 should be visited before node10\nnode 0 should be visited before node15\nnode 0 should be visited before node16\nnode 0 should be visited before node18\nnode 1 should be visited before node29\nnode 1 should be visited before node19\nnode 1 should be visited before node13\nnode 1 should be visited before node10\nnode 1 should be visited before node23\nnode 1 should be visited before node15\nnode 1 should be visited before node4\nnode 1 should be visited before node21\nnode 1 should be visited before node18\nnode 2 should be visited before node7\nnode 2 should be visited before node20\nnode 2 should be visited before node8\nnode 2 should be visited before node17\nnode 2 should be visited before node1\nnode 2 should be visited before node29\nnode 2 should be visited before node12\nnode 2 should be visited before node25\nnode 2 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node23\nnode 2 should be visited before node15\nnode 2 should be visited before node4\nnode 3 should be visited before node10\nnode 3 should be visited before node23\nnode 3 should be visited before node21\nnode 3 should be visited before node18\nnode 4 should be visited before node18\nnode 5 should be visited before node6\nnode 5 should be visited before node2\nnode 5 should be visited before node20\nnode 5 should be visited before node14\nnode 5 should be visited before node0\nnode 5 should be visited before node17\nnode 5 should be visited before node1\nnode 5 should be visited before node29\nnode 5 should be visited before node25\nnode 5 should be visited before node10\nnode 5 should be visited before node15\nnode 5 should be visited before node4\nnode 5 should be visited before node18\nnode 6 should be visited before node28\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node27\nnode 6 should be visited before node26\nnode 6 should be visited before node8\nnode 6 should be visited before node17\nnode 6 should be visited before node12\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node14\nnode 7 should be visited before node29\nnode 7 should be visited before node12\nnode 7 should be visited before node25\nnode 7 should be visited before node11\nnode 7 should be visited before node10\nnode 7 should be visited before node23\nnode 7 should be visited before node15\nnode 7 should be visited before node4\nnode 7 should be visited before node21\nnode 7 should be visited before node18\nnode 7 should be visited before node24\nnode 8 should be visited before node17\nnode 8 should be visited before node29\nnode 8 should be visited before node12\nnode 8 should be visited before node25\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node23\nnode 8 should be visited before node16\nnode 8 should be visited before node21\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node17\nnode 9 should be visited before node29\nnode 9 should be visited before node11\nnode 9 should be visited before node10\nnode 9 should be visited before node23\nnode 9 should be visited before node15\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 10 should be visited before node23\nnode 10 should be visited before node16\nnode 10 should be visited before node4\nnode 10 should be visited before node18\nnode 10 should be visited before node24\nnode 11 should be visited before node15\nnode 11 should be visited before node24\nnode 12 should be visited before node19\nnode 12 should be visited before node25\nnode 12 should be visited before node13\nnode 12 should be visited before node10\nnode 12 should be visited before node23\nnode 12 should be visited before node15\nnode 12 should be visited before node16\nnode 12 should be visited before node4\nnode 12 should be visited before node21\nnode 12 should be visited before node24\nnode 13 should be visited before node3\nnode 13 should be visited before node23\nnode 14 should be visited before node0\nnode 14 should be visited before node17\nnode 14 should be visited before node29\nnode 14 should be visited before node12\nnode 14 should be visited before node19\nnode 14 should be visited before node3\nnode 14 should be visited before node11\nnode 14 should be visited before node15\nnode 14 should be visited before node4\nnode 14 should be visited before node21\nnode 15 should be visited before node16\nnode 15 should be visited before node4\nnode 15 should be visited before node21\nnode 15 should be visited before node18\nnode 15 should be visited before node24\nnode 16 should be visited before node4\nnode 17 should be visited before node3\nnode 17 should be visited before node10\nnode 17 should be visited before node23\nnode 17 should be visited before node15\nnode 17 should be visited before node18\nnode 19 should be visited before node13\nnode 19 should be visited before node15\nnode 19 should be visited before node4\nnode 19 should be visited before node18\nnode 19 should be visited before node24\nnode 20 should be visited before node27\nnode 20 should be visited before node9\nnode 20 should be visited before node0\nnode 20 should be visited before node1\nnode 20 should be visited before node19\nnode 20 should be visited before node3\nnode 20 should be visited before node11\nnode 20 should be visited before node10\nnode 20 should be visited before node16\nnode 20 should be visited before node4\nnode 20 should be visited before node21\nnode 20 should be visited before node24\nnode 21 should be visited before node24\nnode 22 should be visited before node5\nnode 22 should be visited before node2\nnode 22 should be visited before node7\nnode 22 should be visited before node27\nnode 22 should be visited before node9\nnode 22 should be visited before node14\nnode 22 should be visited before node8\nnode 22 should be visited before node0\nnode 22 should be visited before node1\nnode 22 should be visited before node29\nnode 22 should be visited before node15\nnode 22 should be visited before node4\nnode 22 should be visited before node21\nnode 22 should be visited before node18\nnode 23 should be visited before node15\nnode 23 should be visited before node24\nnode 25 should be visited before node13\nnode 25 should be visited before node23\nnode 25 should be visited before node16\nnode 25 should be visited before node4\nnode 25 should be visited before node18\nnode 25 should be visited before node24\nnode 26 should be visited before node8\nnode 26 should be visited before node13\nnode 26 should be visited before node3\nnode 26 should be visited before node11\nnode 26 should be visited before node10\nnode 26 should be visited before node23\nnode 26 should be visited before node15\nnode 26 should be visited before node21\nnode 26 should be visited before node24\nnode 27 should be visited before node26\nnode 27 should be visited before node0\nnode 27 should be visited before node17\nnode 27 should be visited before node12\nnode 27 should be visited before node25\nnode 27 should be visited before node13\nnode 27 should be visited before node3\nnode 27 should be visited before node23\nnode 27 should be visited before node15\nnode 27 should be visited before node4\nnode 27 should be visited before node24\nnode 28 should be visited before node2\nnode 28 should be visited before node20\nnode 28 should be visited before node27\nnode 28 should be visited before node14\nnode 28 should be visited before node8\nnode 28 should be visited before node17\nnode 28 should be visited before node1\nnode 28 should be visited before node29\nnode 28 should be visited before node12\nnode 28 should be visited before node13\nnode 28 should be visited before node4\nnode 28 should be visited before node24\nnode 29 should be visited before node12\nnode 29 should be visited before node13\nnode 29 should be visited before node3\nnode 29 should be visited before node21\nnode 29 should be visited before node18\nnode 29 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "22,5,6,28,2,7,20,14,27,9,1,26,0,8,17,29,11,12,19,25,13,3,10,23,15,16,21,4,24,18."
            }
        ]
    },
    {
        "id": "topology-hard-graph969",
        "image": "data/topology/graph_visual/hard/graph969.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node23\nnode 1 should be visited before node10\nnode 1 should be visited before node25\nnode 1 should be visited before node9\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 1 should be visited before node14\nnode 1 should be visited before node26\nnode 1 should be visited before node30\nnode 1 should be visited before node16\nnode 1 should be visited before node31\nnode 1 should be visited before node12\nnode 2 should be visited before node7\nnode 2 should be visited before node33\nnode 2 should be visited before node25\nnode 2 should be visited before node9\nnode 2 should be visited before node29\nnode 2 should be visited before node0\nnode 2 should be visited before node26\nnode 2 should be visited before node8\nnode 2 should be visited before node28\nnode 2 should be visited before node19\nnode 3 should be visited before node30\nnode 3 should be visited before node31\nnode 3 should be visited before node19\nnode 4 should be visited before node0\nnode 4 should be visited before node16\nnode 4 should be visited before node31\nnode 5 should be visited before node26\nnode 5 should be visited before node12\nnode 6 should be visited before node5\nnode 6 should be visited before node0\nnode 6 should be visited before node26\nnode 6 should be visited before node16\nnode 6 should be visited before node19\nnode 7 should be visited before node25\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 7 should be visited before node13\nnode 7 should be visited before node27\nnode 7 should be visited before node14\nnode 7 should be visited before node8\nnode 8 should be visited before node28\nnode 8 should be visited before node12\nnode 9 should be visited before node14\nnode 9 should be visited before node0\nnode 9 should be visited before node26\nnode 9 should be visited before node30\nnode 9 should be visited before node8\nnode 9 should be visited before node28\nnode 9 should be visited before node12\nnode 10 should be visited before node25\nnode 10 should be visited before node9\nnode 10 should be visited before node27\nnode 10 should be visited before node29\nnode 11 should be visited before node24\nnode 11 should be visited before node21\nnode 11 should be visited before node1\nnode 11 should be visited before node33\nnode 11 should be visited before node10\nnode 11 should be visited before node15\nnode 11 should be visited before node25\nnode 11 should be visited before node4\nnode 11 should be visited before node13\nnode 11 should be visited before node6\nnode 11 should be visited before node27\nnode 11 should be visited before node5\nnode 11 should be visited before node30\nnode 11 should be visited before node18\nnode 13 should be visited before node27\nnode 13 should be visited before node30\nnode 13 should be visited before node28\nnode 14 should be visited before node23\nnode 14 should be visited before node12\nnode 15 should be visited before node32\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node14\nnode 15 should be visited before node26\nnode 15 should be visited before node8\nnode 15 should be visited before node28\nnode 15 should be visited before node31\nnode 15 should be visited before node12\nnode 16 should be visited before node18\nnode 17 should be visited before node32\nnode 17 should be visited before node3\nnode 17 should be visited before node6\nnode 17 should be visited before node29\nnode 17 should be visited before node0\nnode 17 should be visited before node26\nnode 17 should be visited before node19\nnode 18 should be visited before node19\nnode 20 should be visited before node21\nnode 20 should be visited before node2\nnode 20 should be visited before node4\nnode 20 should be visited before node9\nnode 20 should be visited before node3\nnode 20 should be visited before node23\nnode 20 should be visited before node28\nnode 20 should be visited before node12\nnode 21 should be visited before node2\nnode 21 should be visited before node1\nnode 21 should be visited before node7\nnode 21 should be visited before node15\nnode 21 should be visited before node3\nnode 21 should be visited before node27\nnode 21 should be visited before node14\nnode 21 should be visited before node29\nnode 21 should be visited before node0\nnode 21 should be visited before node16\nnode 21 should be visited before node28\nnode 21 should be visited before node31\nnode 21 should be visited before node18\nnode 22 should be visited before node11\nnode 22 should be visited before node7\nnode 22 should be visited before node15\nnode 22 should be visited before node32\nnode 22 should be visited before node27\nnode 22 should be visited before node0\nnode 22 should be visited before node26\nnode 22 should be visited before node23\nnode 22 should be visited before node12\nnode 23 should be visited before node18\nnode 24 should be visited before node2\nnode 24 should be visited before node7\nnode 24 should be visited before node33\nnode 24 should be visited before node32\nnode 24 should be visited before node9\nnode 24 should be visited before node14\nnode 24 should be visited before node5\nnode 24 should be visited before node26\nnode 24 should be visited before node30\nnode 24 should be visited before node16\nnode 24 should be visited before node23\nnode 24 should be visited before node28\nnode 24 should be visited before node31\nnode 24 should be visited before node18\nnode 25 should be visited before node3\nnode 25 should be visited before node6\nnode 25 should be visited before node14\nnode 25 should be visited before node16\nnode 25 should be visited before node28\nnode 25 should be visited before node19\nnode 26 should be visited before node30\nnode 26 should be visited before node23\nnode 26 should be visited before node28\nnode 27 should be visited before node26\nnode 27 should be visited before node23\nnode 27 should be visited before node28\nnode 27 should be visited before node31\nnode 28 should be visited before node12\nnode 28 should be visited before node18\nnode 28 should be visited before node19\nnode 29 should be visited before node5\nnode 29 should be visited before node30\nnode 29 should be visited before node23\nnode 29 should be visited before node28\nnode 29 should be visited before node18\nnode 30 should be visited before node8\nnode 30 should be visited before node31\nnode 30 should be visited before node18\nnode 30 should be visited before node19\nnode 31 should be visited before node12\nnode 32 should be visited before node3\nnode 32 should be visited before node14\nnode 32 should be visited before node0\nnode 32 should be visited before node30\nnode 32 should be visited before node12\nnode 33 should be visited before node32\nnode 33 should be visited before node0\nnode 33 should be visited before node26\nnode 33 should be visited before node16\nnode 33 should be visited before node8\nnode 33 should be visited before node23\nnode 33 should be visited before node31\nnode 33 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "17,20,22,11,24,21,2,1,15,7,33,10,4,13,32,25,9,29,27,3,6,14,5,0,16,26,30,23,8,31,28,12,18,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph879",
        "image": "data/topology/graph_visual/hard/graph879.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node12\nnode 0 should be visited before node22\nnode 0 should be visited before node2\nnode 0 should be visited before node30\nnode 0 should be visited before node18\nnode 0 should be visited before node11\nnode 1 should be visited before node19\nnode 1 should be visited before node25\nnode 2 should be visited before node9\nnode 2 should be visited before node29\nnode 2 should be visited before node8\nnode 2 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node1\nnode 2 should be visited before node31\nnode 2 should be visited before node19\nnode 2 should be visited before node25\nnode 3 should be visited before node18\nnode 3 should be visited before node29\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node21\nnode 4 should be visited before node19\nnode 5 should be visited before node16\nnode 5 should be visited before node18\nnode 5 should be visited before node29\nnode 5 should be visited before node11\nnode 5 should be visited before node1\nnode 6 should be visited before node11\nnode 6 should be visited before node14\nnode 6 should be visited before node19\nnode 6 should be visited before node25\nnode 7 should be visited before node12\nnode 7 should be visited before node17\nnode 7 should be visited before node9\nnode 7 should be visited before node18\nnode 7 should be visited before node29\nnode 7 should be visited before node13\nnode 8 should be visited before node1\nnode 8 should be visited before node19\nnode 9 should be visited before node26\nnode 9 should be visited before node8\nnode 9 should be visited before node13\nnode 9 should be visited before node1\nnode 9 should be visited before node14\nnode 9 should be visited before node19\nnode 9 should be visited before node25\nnode 10 should be visited before node20\nnode 10 should be visited before node23\nnode 10 should be visited before node9\nnode 10 should be visited before node15\nnode 10 should be visited before node6\nnode 10 should be visited before node19\nnode 11 should be visited before node1\nnode 11 should be visited before node31\nnode 11 should be visited before node21\nnode 12 should be visited before node22\nnode 12 should be visited before node2\nnode 12 should be visited before node3\nnode 12 should be visited before node28\nnode 12 should be visited before node18\nnode 12 should be visited before node13\nnode 12 should be visited before node6\nnode 13 should be visited before node31\nnode 13 should be visited before node21\nnode 13 should be visited before node19\nnode 13 should be visited before node25\nnode 14 should be visited before node25\nnode 15 should be visited before node6\nnode 15 should be visited before node11\nnode 15 should be visited before node25\nnode 16 should be visited before node18\nnode 16 should be visited before node6\nnode 16 should be visited before node14\nnode 16 should be visited before node19\nnode 17 should be visited before node20\nnode 17 should be visited before node5\nnode 17 should be visited before node18\nnode 17 should be visited before node8\nnode 17 should be visited before node11\nnode 17 should be visited before node21\nnode 17 should be visited before node19\nnode 18 should be visited before node29\nnode 18 should be visited before node19\nnode 20 should be visited before node22\nnode 20 should be visited before node16\nnode 20 should be visited before node3\nnode 20 should be visited before node28\nnode 20 should be visited before node11\nnode 20 should be visited before node1\nnode 20 should be visited before node14\nnode 20 should be visited before node31\nnode 20 should be visited before node21\nnode 20 should be visited before node19\nnode 22 should be visited before node30\nnode 22 should be visited before node26\nnode 22 should be visited before node3\nnode 22 should be visited before node18\nnode 22 should be visited before node8\nnode 22 should be visited before node6\nnode 22 should be visited before node11\nnode 22 should be visited before node21\nnode 22 should be visited before node19\nnode 23 should be visited before node2\nnode 23 should be visited before node26\nnode 23 should be visited before node16\nnode 23 should be visited before node15\nnode 23 should be visited before node3\nnode 23 should be visited before node4\nnode 23 should be visited before node28\nnode 23 should be visited before node6\nnode 23 should be visited before node14\nnode 23 should be visited before node19\nnode 23 should be visited before node25\nnode 24 should be visited before node20\nnode 24 should be visited before node2\nnode 24 should be visited before node9\nnode 24 should be visited before node15\nnode 24 should be visited before node4\nnode 24 should be visited before node18\nnode 24 should be visited before node6\nnode 24 should be visited before node11\nnode 26 should be visited before node16\nnode 26 should be visited before node3\nnode 26 should be visited before node4\nnode 26 should be visited before node18\nnode 26 should be visited before node29\nnode 26 should be visited before node1\nnode 26 should be visited before node14\nnode 27 should be visited before node7\nnode 27 should be visited before node17\nnode 27 should be visited before node2\nnode 27 should be visited before node15\nnode 27 should be visited before node8\nnode 28 should be visited before node18\nnode 28 should be visited before node29\nnode 28 should be visited before node14\nnode 29 should be visited before node8\nnode 29 should be visited before node6\nnode 29 should be visited before node1\nnode 29 should be visited before node31\nnode 30 should be visited before node9\nnode 30 should be visited before node16\nnode 30 should be visited before node4\nnode 30 should be visited before node18\nnode 30 should be visited before node29\nnode 30 should be visited before node19\nnode 30 should be visited before node25\nnode 31 should be visited before node21\nnode 31 should be visited before node25\nnode 32 should be visited before node27\nnode 32 should be visited before node10\nnode 32 should be visited before node7\nnode 32 should be visited before node0\nnode 32 should be visited before node2\nnode 32 should be visited before node26\nnode 32 should be visited before node3\nnode 32 should be visited before node28\nnode 32 should be visited before node29\nnode 32 should be visited before node1\nnode 32 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "24,32,27,10,0,7,23,12,17,15,2,20,5,22,28,30,9,26,13,16,3,4,18,29,8,6,11,14,1,31,19,21,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph493",
        "image": "data/topology/graph_visual/hard/graph493.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node19\nnode 0 should be visited before node2\nnode 0 should be visited before node16\nnode 0 should be visited before node24\nnode 0 should be visited before node21\nnode 0 should be visited before node29\nnode 0 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node5\nnode 1 should be visited before node16\nnode 1 should be visited before node22\nnode 1 should be visited before node3\nnode 1 should be visited before node21\nnode 1 should be visited before node29\nnode 1 should be visited before node17\nnode 1 should be visited before node7\nnode 2 should be visited before node25\nnode 2 should be visited before node24\nnode 2 should be visited before node3\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node22\nnode 4 should be visited before node15\nnode 5 should be visited before node25\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node21\nnode 5 should be visited before node29\nnode 6 should be visited before node19\nnode 6 should be visited before node25\nnode 6 should be visited before node10\nnode 6 should be visited before node17\nnode 6 should be visited before node8\nnode 9 should be visited before node14\nnode 10 should be visited before node24\nnode 10 should be visited before node21\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 12 should be visited before node20\nnode 12 should be visited before node27\nnode 12 should be visited before node18\nnode 12 should be visited before node0\nnode 12 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node24\nnode 12 should be visited before node22\nnode 12 should be visited before node21\nnode 12 should be visited before node29\nnode 12 should be visited before node17\nnode 12 should be visited before node9\nnode 13 should be visited before node21\nnode 13 should be visited before node29\nnode 13 should be visited before node15\nnode 13 should be visited before node7\nnode 15 should be visited before node8\nnode 16 should be visited before node22\nnode 16 should be visited before node17\nnode 16 should be visited before node14\nnode 17 should be visited before node14\nnode 18 should be visited before node25\nnode 18 should be visited before node29\nnode 18 should be visited before node15\nnode 19 should be visited before node10\nnode 19 should be visited before node17\nnode 19 should be visited before node7\nnode 19 should be visited before node14\nnode 20 should be visited before node6\nnode 20 should be visited before node13\nnode 20 should be visited before node25\nnode 20 should be visited before node9\nnode 20 should be visited before node7\nnode 21 should be visited before node29\nnode 21 should be visited before node7\nnode 22 should be visited before node21\nnode 22 should be visited before node29\nnode 22 should be visited before node15\nnode 22 should be visited before node17\nnode 23 should be visited before node28\nnode 23 should be visited before node20\nnode 23 should be visited before node27\nnode 23 should be visited before node0\nnode 23 should be visited before node11\nnode 23 should be visited before node25\nnode 23 should be visited before node10\nnode 23 should be visited before node22\nnode 23 should be visited before node21\nnode 23 should be visited before node15\nnode 23 should be visited before node7\nnode 24 should be visited before node22\nnode 24 should be visited before node3\nnode 24 should be visited before node8\nnode 24 should be visited before node9\nnode 24 should be visited before node7\nnode 25 should be visited before node16\nnode 25 should be visited before node29\nnode 26 should be visited before node1\nnode 26 should be visited before node19\nnode 26 should be visited before node16\nnode 26 should be visited before node10\nnode 26 should be visited before node21\nnode 26 should be visited before node29\nnode 27 should be visited before node0\nnode 27 should be visited before node6\nnode 27 should be visited before node19\nnode 27 should be visited before node25\nnode 27 should be visited before node3\nnode 27 should be visited before node15\nnode 28 should be visited before node0\nnode 28 should be visited before node11\nnode 28 should be visited before node1\nnode 28 should be visited before node6\nnode 28 should be visited before node13\nnode 28 should be visited before node25\nnode 28 should be visited before node9\nnode 28 should be visited before node7\nnode 28 should be visited before node14\nnode 29 should be visited before node15\nnode 29 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,12,23,26,18,28,20,27,11,1,13,0,6,5,2,19,25,10,16,24,22,3,9,21,17,29,7,15,14,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph759",
        "image": "data/topology/graph_visual/hard/graph759.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 1 should be visited before node9\nnode 1 should be visited before node18\nnode 1 should be visited before node16\nnode 2 should be visited before node1\nnode 2 should be visited before node17\nnode 2 should be visited before node20\nnode 3 should be visited before node12\nnode 3 should be visited before node20\nnode 3 should be visited before node30\nnode 4 should be visited before node6\nnode 4 should be visited before node5\nnode 4 should be visited before node21\nnode 4 should be visited before node9\nnode 4 should be visited before node0\nnode 5 should be visited before node23\nnode 5 should be visited before node24\nnode 5 should be visited before node12\nnode 5 should be visited before node2\nnode 5 should be visited before node1\nnode 5 should be visited before node20\nnode 6 should be visited before node23\nnode 6 should be visited before node9\nnode 6 should be visited before node16\nnode 7 should be visited before node30\nnode 8 should be visited before node3\nnode 8 should be visited before node6\nnode 8 should be visited before node21\nnode 8 should be visited before node9\nnode 8 should be visited before node17\nnode 8 should be visited before node7\nnode 9 should be visited before node18\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node30\nnode 10 should be visited before node12\nnode 10 should be visited before node13\nnode 10 should be visited before node18\nnode 11 should be visited before node3\nnode 11 should be visited before node24\nnode 11 should be visited before node12\nnode 11 should be visited before node1\nnode 11 should be visited before node9\nnode 11 should be visited before node20\nnode 11 should be visited before node18\nnode 11 should be visited before node30\nnode 12 should be visited before node21\nnode 12 should be visited before node13\nnode 12 should be visited before node16\nnode 12 should be visited before node0\nnode 13 should be visited before node20\nnode 13 should be visited before node18\nnode 13 should be visited before node0\nnode 13 should be visited before node30\nnode 14 should be visited before node8\nnode 14 should be visited before node3\nnode 14 should be visited before node23\nnode 14 should be visited before node12\nnode 14 should be visited before node21\nnode 14 should be visited before node9\nnode 14 should be visited before node17\nnode 14 should be visited before node13\nnode 14 should be visited before node0\nnode 15 should be visited before node11\nnode 15 should be visited before node4\nnode 15 should be visited before node10\nnode 15 should be visited before node6\nnode 15 should be visited before node1\nnode 15 should be visited before node17\nnode 15 should be visited before node20\nnode 17 should be visited before node13\nnode 17 should be visited before node20\nnode 17 should be visited before node7\nnode 17 should be visited before node30\nnode 18 should be visited before node0\nnode 19 should be visited before node27\nnode 19 should be visited before node11\nnode 19 should be visited before node31\nnode 19 should be visited before node10\nnode 19 should be visited before node23\nnode 19 should be visited before node12\nnode 19 should be visited before node17\nnode 19 should be visited before node13\nnode 19 should be visited before node30\nnode 20 should be visited before node18\nnode 20 should be visited before node16\nnode 20 should be visited before node0\nnode 21 should be visited before node16\nnode 21 should be visited before node0\nnode 21 should be visited before node7\nnode 21 should be visited before node30\nnode 22 should be visited before node31\nnode 22 should be visited before node6\nnode 22 should be visited before node5\nnode 22 should be visited before node23\nnode 22 should be visited before node24\nnode 22 should be visited before node21\nnode 22 should be visited before node1\nnode 22 should be visited before node7\nnode 22 should be visited before node30\nnode 23 should be visited before node21\nnode 23 should be visited before node17\nnode 23 should be visited before node20\nnode 23 should be visited before node18\nnode 23 should be visited before node7\nnode 24 should be visited before node12\nnode 24 should be visited before node20\nnode 25 should be visited before node2\nnode 25 should be visited before node16\nnode 25 should be visited before node30\nnode 26 should be visited before node29\nnode 26 should be visited before node14\nnode 26 should be visited before node25\nnode 26 should be visited before node10\nnode 26 should be visited before node24\nnode 26 should be visited before node1\nnode 26 should be visited before node17\nnode 26 should be visited before node13\nnode 26 should be visited before node20\nnode 26 should be visited before node16\nnode 26 should be visited before node7\nnode 27 should be visited before node14\nnode 27 should be visited before node31\nnode 27 should be visited before node4\nnode 27 should be visited before node3\nnode 27 should be visited before node25\nnode 27 should be visited before node10\nnode 27 should be visited before node5\nnode 27 should be visited before node24\nnode 27 should be visited before node12\nnode 27 should be visited before node17\nnode 27 should be visited before node13\nnode 28 should be visited before node22\nnode 28 should be visited before node11\nnode 28 should be visited before node4\nnode 28 should be visited before node6\nnode 28 should be visited before node5\nnode 28 should be visited before node23\nnode 28 should be visited before node12\nnode 28 should be visited before node21\nnode 28 should be visited before node2\nnode 28 should be visited before node9\nnode 28 should be visited before node18\nnode 28 should be visited before node7\nnode 29 should be visited before node3\nnode 29 should be visited before node25\nnode 29 should be visited before node6\nnode 29 should be visited before node5\nnode 29 should be visited before node23\nnode 29 should be visited before node24\nnode 29 should be visited before node13\nnode 29 should be visited before node20\nnode 29 should be visited before node18\nnode 29 should be visited before node7\nnode 29 should be visited before node30\nnode 31 should be visited before node17\nnode 31 should be visited before node20\nnode 31 should be visited before node30\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,19,26,28,27,29,22,11,14,4,10,25,31,8,5,3,6,24,2,23,12,1,17,21,9,13,7,20,30,18,16,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph375",
        "image": "data/topology/graph_visual/hard/graph375.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 1 should be visited before node18\nnode 1 should be visited before node21\nnode 1 should be visited before node20\nnode 1 should be visited before node13\nnode 1 should be visited before node19\nnode 1 should be visited before node0\nnode 3 should be visited before node22\nnode 3 should be visited before node11\nnode 3 should be visited before node25\nnode 3 should be visited before node20\nnode 3 should be visited before node5\nnode 3 should be visited before node19\nnode 3 should be visited before node0\nnode 4 should be visited before node28\nnode 4 should be visited before node20\nnode 4 should be visited before node13\nnode 4 should be visited before node19\nnode 4 should be visited before node2\nnode 6 should be visited before node24\nnode 6 should be visited before node4\nnode 6 should be visited before node16\nnode 6 should be visited before node28\nnode 6 should be visited before node19\nnode 6 should be visited before node2\nnode 7 should be visited before node24\nnode 7 should be visited before node16\nnode 7 should be visited before node22\nnode 7 should be visited before node27\nnode 7 should be visited before node25\nnode 7 should be visited before node13\nnode 8 should be visited before node16\nnode 8 should be visited before node22\nnode 8 should be visited before node11\nnode 8 should be visited before node5\nnode 9 should be visited before node22\nnode 9 should be visited before node11\nnode 9 should be visited before node0\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node21\nnode 10 should be visited before node22\nnode 10 should be visited before node28\nnode 10 should be visited before node25\nnode 10 should be visited before node20\nnode 10 should be visited before node19\nnode 10 should be visited before node0\nnode 11 should be visited before node2\nnode 12 should be visited before node10\nnode 12 should be visited before node7\nnode 12 should be visited before node1\nnode 12 should be visited before node3\nnode 12 should be visited before node6\nnode 12 should be visited before node24\nnode 12 should be visited before node9\nnode 12 should be visited before node28\nnode 12 should be visited before node25\nnode 12 should be visited before node20\nnode 12 should be visited before node13\nnode 12 should be visited before node0\nnode 13 should be visited before node19\nnode 13 should be visited before node2\nnode 14 should be visited before node22\nnode 14 should be visited before node27\nnode 15 should be visited before node8\nnode 15 should be visited before node22\nnode 15 should be visited before node28\nnode 15 should be visited before node27\nnode 15 should be visited before node11\nnode 15 should be visited before node2\nnode 16 should be visited before node20\nnode 16 should be visited before node0\nnode 17 should be visited before node26\nnode 17 should be visited before node23\nnode 17 should be visited before node3\nnode 17 should be visited before node24\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 17 should be visited before node22\nnode 17 should be visited before node2\nnode 18 should be visited before node3\nnode 18 should be visited before node6\nnode 18 should be visited before node24\nnode 18 should be visited before node21\nnode 18 should be visited before node9\nnode 18 should be visited before node8\nnode 18 should be visited before node4\nnode 18 should be visited before node11\nnode 18 should be visited before node5\nnode 19 should be visited before node0\nnode 20 should be visited before node19\nnode 21 should be visited before node4\nnode 21 should be visited before node27\nnode 21 should be visited before node11\nnode 21 should be visited before node20\nnode 21 should be visited before node13\nnode 21 should be visited before node19\nnode 21 should be visited before node0\nnode 22 should be visited before node5\nnode 22 should be visited before node19\nnode 22 should be visited before node2\nnode 23 should be visited before node6\nnode 23 should be visited before node21\nnode 23 should be visited before node8\nnode 23 should be visited before node22\nnode 23 should be visited before node25\nnode 23 should be visited before node20\nnode 23 should be visited before node13\nnode 24 should be visited before node9\nnode 24 should be visited before node28\nnode 24 should be visited before node27\nnode 24 should be visited before node19\nnode 24 should be visited before node0\nnode 25 should be visited before node5\nnode 25 should be visited before node0\nnode 26 should be visited before node23\nnode 26 should be visited before node1\nnode 26 should be visited before node14\nnode 26 should be visited before node4\nnode 26 should be visited before node28\nnode 26 should be visited before node27\nnode 26 should be visited before node25\nnode 26 should be visited before node13\nnode 27 should be visited before node25\nnode 28 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,15,17,10,7,26,23,1,14,18,3,6,21,8,24,4,16,9,27,28,13,20,22,11,25,19,2,5,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph167",
        "image": "data/topology/graph_visual/hard/graph167.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node19\nnode 0 should be visited before node11\nnode 1 should be visited before node22\nnode 1 should be visited before node7\nnode 2 should be visited before node6\nnode 2 should be visited before node0\nnode 2 should be visited before node19\nnode 2 should be visited before node15\nnode 2 should be visited before node24\nnode 3 should be visited before node26\nnode 3 should be visited before node9\nnode 3 should be visited before node25\nnode 3 should be visited before node19\nnode 3 should be visited before node22\nnode 4 should be visited before node8\nnode 4 should be visited before node18\nnode 4 should be visited before node26\nnode 4 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node21\nnode 4 should be visited before node22\nnode 5 should be visited before node2\nnode 5 should be visited before node14\nnode 5 should be visited before node13\nnode 5 should be visited before node19\nnode 5 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node21\nnode 6 should be visited before node25\nnode 6 should be visited before node0\nnode 6 should be visited before node24\nnode 8 should be visited before node20\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 8 should be visited before node26\nnode 8 should be visited before node2\nnode 8 should be visited before node9\nnode 8 should be visited before node19\nnode 8 should be visited before node21\nnode 8 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node22\nnode 11 should be visited before node16\nnode 11 should be visited before node21\nnode 11 should be visited before node24\nnode 11 should be visited before node10\nnode 12 should be visited before node18\nnode 12 should be visited before node26\nnode 12 should be visited before node15\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 13 should be visited before node16\nnode 13 should be visited before node1\nnode 13 should be visited before node24\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node7\nnode 16 should be visited before node24\nnode 16 should be visited before node10\nnode 17 should be visited before node12\nnode 17 should be visited before node5\nnode 17 should be visited before node3\nnode 17 should be visited before node2\nnode 17 should be visited before node13\nnode 17 should be visited before node19\nnode 17 should be visited before node7\nnode 18 should be visited before node3\nnode 18 should be visited before node2\nnode 18 should be visited before node14\nnode 18 should be visited before node0\nnode 18 should be visited before node19\nnode 18 should be visited before node11\nnode 18 should be visited before node15\nnode 18 should be visited before node24\nnode 18 should be visited before node7\nnode 19 should be visited before node22\nnode 20 should be visited before node5\nnode 20 should be visited before node9\nnode 20 should be visited before node6\nnode 20 should be visited before node0\nnode 20 should be visited before node10\nnode 21 should be visited before node22\nnode 21 should be visited before node10\nnode 22 should be visited before node24\nnode 23 should be visited before node17\nnode 23 should be visited before node4\nnode 23 should be visited before node8\nnode 23 should be visited before node25\nnode 23 should be visited before node0\nnode 23 should be visited before node13\nnode 23 should be visited before node15\nnode 25 should be visited before node19\nnode 25 should be visited before node11\nnode 25 should be visited before node1\nnode 25 should be visited before node10\nnode 26 should be visited before node13\nnode 26 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "23,17,4,12,8,18,20,3,5,26,9,2,14,13,6,15,25,0,1,19,11,7,16,21,22,10,24."
            }
        ]
    },
    {
        "id": "topology-hard-graph404",
        "image": "data/topology/graph_visual/hard/graph404.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node3\nnode 0 should be visited before node25\nnode 0 should be visited before node20\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node9\nnode 0 should be visited before node23\nnode 1 should be visited before node27\nnode 1 should be visited before node28\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 1 should be visited before node8\nnode 1 should be visited before node19\nnode 1 should be visited before node23\nnode 2 should be visited before node3\nnode 2 should be visited before node14\nnode 2 should be visited before node20\nnode 2 should be visited before node18\nnode 2 should be visited before node8\nnode 2 should be visited before node9\nnode 3 should be visited before node22\nnode 3 should be visited before node17\nnode 3 should be visited before node4\nnode 4 should be visited before node26\nnode 4 should be visited before node24\nnode 5 should be visited before node1\nnode 5 should be visited before node21\nnode 5 should be visited before node28\nnode 5 should be visited before node13\nnode 5 should be visited before node12\nnode 5 should be visited before node3\nnode 5 should be visited before node4\nnode 5 should be visited before node11\nnode 5 should be visited before node8\nnode 5 should be visited before node24\nnode 6 should be visited before node27\nnode 6 should be visited before node28\nnode 6 should be visited before node13\nnode 6 should be visited before node25\nnode 6 should be visited before node4\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node24\nnode 7 should be visited before node26\nnode 7 should be visited before node9\nnode 8 should be visited before node26\nnode 8 should be visited before node24\nnode 8 should be visited before node23\nnode 9 should be visited before node23\nnode 10 should be visited before node26\nnode 10 should be visited before node9\nnode 11 should be visited before node8\nnode 12 should be visited before node25\nnode 12 should be visited before node14\nnode 12 should be visited before node20\nnode 13 should be visited before node12\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node22\nnode 13 should be visited before node4\nnode 13 should be visited before node10\nnode 14 should be visited before node17\nnode 14 should be visited before node7\nnode 14 should be visited before node18\nnode 14 should be visited before node24\nnode 14 should be visited before node9\nnode 15 should be visited before node28\nnode 15 should be visited before node13\nnode 15 should be visited before node0\nnode 15 should be visited before node2\nnode 15 should be visited before node3\nnode 15 should be visited before node25\nnode 15 should be visited before node14\nnode 15 should be visited before node18\nnode 15 should be visited before node4\nnode 15 should be visited before node10\nnode 15 should be visited before node26\nnode 15 should be visited before node9\nnode 16 should be visited before node26\nnode 16 should be visited before node24\nnode 17 should be visited before node24\nnode 17 should be visited before node9\nnode 17 should be visited before node23\nnode 18 should be visited before node11\nnode 18 should be visited before node26\nnode 18 should be visited before node19\nnode 18 should be visited before node9\nnode 18 should be visited before node23\nnode 20 should be visited before node17\nnode 20 should be visited before node10\nnode 20 should be visited before node9\nnode 21 should be visited before node28\nnode 21 should be visited before node13\nnode 21 should be visited before node12\nnode 21 should be visited before node2\nnode 21 should be visited before node20\nnode 21 should be visited before node7\nnode 21 should be visited before node18\nnode 21 should be visited before node8\nnode 21 should be visited before node19\nnode 21 should be visited before node9\nnode 22 should be visited before node18\nnode 22 should be visited before node11\nnode 22 should be visited before node24\nnode 22 should be visited before node9\nnode 22 should be visited before node23\nnode 24 should be visited before node23\nnode 25 should be visited before node17\nnode 25 should be visited before node16\nnode 25 should be visited before node4\nnode 25 should be visited before node26\nnode 25 should be visited before node23\nnode 27 should be visited before node21\nnode 27 should be visited before node28\nnode 27 should be visited before node13\nnode 27 should be visited before node12\nnode 27 should be visited before node25\nnode 27 should be visited before node16\nnode 27 should be visited before node11\nnode 27 should be visited before node23\nnode 28 should be visited before node14\nnode 28 should be visited before node20\nnode 28 should be visited before node10\nnode 28 should be visited before node11\nnode 28 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,15,1,0,27,21,28,13,12,2,25,3,14,20,16,22,4,7,17,10,18,11,19,9,8,26,24,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph498",
        "image": "data/topology/graph_visual/hard/graph498.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node5\nnode 0 should be visited before node4\nnode 0 should be visited before node27\nnode 0 should be visited before node1\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 1 should be visited before node28\nnode 1 should be visited before node13\nnode 1 should be visited before node7\nnode 1 should be visited before node2\nnode 3 should be visited before node19\nnode 3 should be visited before node22\nnode 3 should be visited before node6\nnode 3 should be visited before node15\nnode 3 should be visited before node12\nnode 3 should be visited before node14\nnode 4 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 4 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node12\nnode 5 should be visited before node14\nnode 5 should be visited before node17\nnode 5 should be visited before node2\nnode 5 should be visited before node9\nnode 6 should be visited before node5\nnode 6 should be visited before node27\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node12\nnode 6 should be visited before node2\nnode 6 should be visited before node9\nnode 7 should be visited before node17\nnode 7 should be visited before node9\nnode 7 should be visited before node21\nnode 8 should be visited before node14\nnode 8 should be visited before node21\nnode 10 should be visited before node5\nnode 10 should be visited before node11\nnode 10 should be visited before node7\nnode 10 should be visited before node12\nnode 11 should be visited before node1\nnode 11 should be visited before node28\nnode 11 should be visited before node8\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node17\nnode 12 should be visited before node14\nnode 12 should be visited before node17\nnode 12 should be visited before node21\nnode 13 should be visited before node15\nnode 14 should be visited before node2\nnode 15 should be visited before node9\nnode 16 should be visited before node3\nnode 16 should be visited before node9\nnode 17 should be visited before node2\nnode 18 should be visited before node11\nnode 18 should be visited before node28\nnode 18 should be visited before node8\nnode 18 should be visited before node12\nnode 18 should be visited before node2\nnode 19 should be visited before node22\nnode 19 should be visited before node0\nnode 19 should be visited before node5\nnode 19 should be visited before node4\nnode 19 should be visited before node14\nnode 20 should be visited before node3\nnode 20 should be visited before node22\nnode 20 should be visited before node2\nnode 20 should be visited before node21\nnode 22 should be visited before node6\nnode 22 should be visited before node10\nnode 22 should be visited before node18\nnode 22 should be visited before node11\nnode 22 should be visited before node1\nnode 22 should be visited before node8\nnode 22 should be visited before node7\nnode 22 should be visited before node17\nnode 23 should be visited before node16\nnode 23 should be visited before node3\nnode 23 should be visited before node7\nnode 23 should be visited before node14\nnode 23 should be visited before node2\nnode 24 should be visited before node3\nnode 24 should be visited before node19\nnode 24 should be visited before node25\nnode 24 should be visited before node11\nnode 24 should be visited before node13\nnode 24 should be visited before node15\nnode 25 should be visited before node22\nnode 25 should be visited before node6\nnode 25 should be visited before node0\nnode 25 should be visited before node4\nnode 25 should be visited before node27\nnode 25 should be visited before node1\nnode 25 should be visited before node8\nnode 25 should be visited before node7\nnode 25 should be visited before node12\nnode 25 should be visited before node14\nnode 25 should be visited before node9\nnode 26 should be visited before node16\nnode 26 should be visited before node25\nnode 26 should be visited before node22\nnode 26 should be visited before node0\nnode 26 should be visited before node10\nnode 26 should be visited before node28\nnode 26 should be visited before node14\nnode 26 should be visited before node17\nnode 27 should be visited before node13\nnode 27 should be visited before node15\nnode 27 should be visited before node12\nnode 27 should be visited before node17\nnode 27 should be visited before node9\nnode 27 should be visited before node21\nnode 29 should be visited before node19\nnode 29 should be visited before node6\nnode 29 should be visited before node27\nnode 29 should be visited before node15\nnode 29 should be visited before node12\nnode 29 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "20,23,24,26,29,16,25,3,19,22,0,6,10,18,27,5,4,12,11,1,8,28,13,7,14,15,17,21,9,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph868",
        "image": "data/topology/graph_visual/hard/graph868.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node24\nnode 0 should be visited before node31\nnode 0 should be visited before node13\nnode 0 should be visited before node18\nnode 1 should be visited before node2\nnode 1 should be visited before node13\nnode 1 should be visited before node21\nnode 2 should be visited before node25\nnode 2 should be visited before node23\nnode 2 should be visited before node24\nnode 2 should be visited before node31\nnode 2 should be visited before node21\nnode 3 should be visited before node19\nnode 3 should be visited before node16\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 3 should be visited before node27\nnode 3 should be visited before node0\nnode 3 should be visited before node25\nnode 3 should be visited before node23\nnode 3 should be visited before node24\nnode 3 should be visited before node31\nnode 3 should be visited before node4\nnode 3 should be visited before node11\nnode 4 should be visited before node18\nnode 6 should be visited before node9\nnode 6 should be visited before node16\nnode 6 should be visited before node28\nnode 6 should be visited before node12\nnode 6 should be visited before node26\nnode 6 should be visited before node31\nnode 6 should be visited before node13\nnode 7 should be visited before node24\nnode 7 should be visited before node18\nnode 7 should be visited before node21\nnode 8 should be visited before node6\nnode 8 should be visited before node15\nnode 8 should be visited before node32\nnode 8 should be visited before node7\nnode 8 should be visited before node31\nnode 9 should be visited before node15\nnode 9 should be visited before node16\nnode 9 should be visited before node12\nnode 9 should be visited before node10\nnode 9 should be visited before node20\nnode 9 should be visited before node7\nnode 9 should be visited before node23\nnode 9 should be visited before node31\nnode 9 should be visited before node21\nnode 10 should be visited before node20\nnode 10 should be visited before node32\nnode 10 should be visited before node7\nnode 10 should be visited before node0\nnode 10 should be visited before node24\nnode 10 should be visited before node17\nnode 10 should be visited before node13\nnode 10 should be visited before node18\nnode 10 should be visited before node5\nnode 11 should be visited before node13\nnode 11 should be visited before node18\nnode 12 should be visited before node10\nnode 12 should be visited before node20\nnode 12 should be visited before node7\nnode 12 should be visited before node0\nnode 12 should be visited before node2\nnode 12 should be visited before node24\nnode 12 should be visited before node17\nnode 12 should be visited before node4\nnode 13 should be visited before node5\nnode 14 should be visited before node29\nnode 14 should be visited before node3\nnode 14 should be visited before node30\nnode 14 should be visited before node22\nnode 14 should be visited before node12\nnode 14 should be visited before node20\nnode 14 should be visited before node4\nnode 15 should be visited before node32\nnode 15 should be visited before node1\nnode 15 should be visited before node17\nnode 16 should be visited before node12\nnode 16 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node18\nnode 17 should be visited before node13\nnode 18 should be visited before node5\nnode 19 should be visited before node28\nnode 19 should be visited before node12\nnode 19 should be visited before node20\nnode 19 should be visited before node32\nnode 19 should be visited before node17\nnode 19 should be visited before node4\nnode 19 should be visited before node21\nnode 20 should be visited before node7\nnode 20 should be visited before node26\nnode 20 should be visited before node27\nnode 20 should be visited before node0\nnode 20 should be visited before node25\nnode 20 should be visited before node23\nnode 20 should be visited before node4\nnode 20 should be visited before node13\nnode 20 should be visited before node18\nnode 22 should be visited before node1\nnode 22 should be visited before node27\nnode 22 should be visited before node23\nnode 22 should be visited before node31\nnode 22 should be visited before node4\nnode 23 should be visited before node17\nnode 23 should be visited before node13\nnode 23 should be visited before node21\nnode 24 should be visited before node17\nnode 24 should be visited before node11\nnode 24 should be visited before node13\nnode 24 should be visited before node5\nnode 25 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node13\nnode 25 should be visited before node5\nnode 26 should be visited before node23\nnode 27 should be visited before node31\nnode 27 should be visited before node18\nnode 28 should be visited before node12\nnode 28 should be visited before node32\nnode 28 should be visited before node7\nnode 28 should be visited before node26\nnode 28 should be visited before node23\nnode 28 should be visited before node24\nnode 28 should be visited before node17\nnode 28 should be visited before node11\nnode 29 should be visited before node3\nnode 29 should be visited before node30\nnode 29 should be visited before node19\nnode 29 should be visited before node6\nnode 29 should be visited before node28\nnode 29 should be visited before node22\nnode 29 should be visited before node12\nnode 29 should be visited before node7\nnode 29 should be visited before node25\nnode 29 should be visited before node17\nnode 29 should be visited before node18\nnode 30 should be visited before node15\nnode 30 should be visited before node28\nnode 30 should be visited before node22\nnode 30 should be visited before node12\nnode 30 should be visited before node20\nnode 30 should be visited before node32\nnode 30 should be visited before node1\nnode 30 should be visited before node26\nnode 30 should be visited before node2\nnode 30 should be visited before node24\nnode 30 should be visited before node11\nnode 30 should be visited before node13\nnode 31 should be visited before node11\nnode 31 should be visited before node21\nnode 32 should be visited before node1\nnode 32 should be visited before node2\nnode 32 should be visited before node25\nnode 32 should be visited before node31\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,14,29,3,30,6,19,22,9,28,15,16,12,10,20,32,7,26,27,0,1,2,25,23,24,31,4,17,11,21,13,18,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph477",
        "image": "data/topology/graph_visual/hard/graph477.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 1 should be visited before node0\nnode 1 should be visited before node18\nnode 1 should be visited before node2\nnode 3 should be visited before node11\nnode 3 should be visited before node9\nnode 3 should be visited before node22\nnode 3 should be visited before node7\nnode 3 should be visited before node6\nnode 3 should be visited before node5\nnode 3 should be visited before node0\nnode 3 should be visited before node18\nnode 4 should be visited before node22\nnode 4 should be visited before node1\nnode 4 should be visited before node5\nnode 4 should be visited before node0\nnode 4 should be visited before node14\nnode 4 should be visited before node26\nnode 4 should be visited before node19\nnode 5 should be visited before node0\nnode 5 should be visited before node14\nnode 5 should be visited before node26\nnode 5 should be visited before node19\nnode 6 should be visited before node1\nnode 6 should be visited before node26\nnode 6 should be visited before node18\nnode 7 should be visited before node28\nnode 7 should be visited before node5\nnode 7 should be visited before node26\nnode 7 should be visited before node18\nnode 7 should be visited before node19\nnode 8 should be visited before node11\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node13\nnode 8 should be visited before node22\nnode 8 should be visited before node28\nnode 8 should be visited before node6\nnode 8 should be visited before node0\nnode 8 should be visited before node14\nnode 8 should be visited before node26\nnode 8 should be visited before node18\nnode 8 should be visited before node2\nnode 8 should be visited before node19\nnode 9 should be visited before node13\nnode 9 should be visited before node7\nnode 9 should be visited before node28\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 9 should be visited before node19\nnode 10 should be visited before node16\nnode 10 should be visited before node20\nnode 10 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node9\nnode 10 should be visited before node22\nnode 10 should be visited before node7\nnode 10 should be visited before node6\nnode 10 should be visited before node0\nnode 10 should be visited before node14\nnode 11 should be visited before node13\nnode 11 should be visited before node7\nnode 11 should be visited before node6\nnode 11 should be visited before node1\nnode 11 should be visited before node0\nnode 11 should be visited before node18\nnode 11 should be visited before node2\nnode 11 should be visited before node19\nnode 12 should be visited before node3\nnode 12 should be visited before node11\nnode 12 should be visited before node4\nnode 12 should be visited before node9\nnode 12 should be visited before node13\nnode 12 should be visited before node22\nnode 12 should be visited before node6\nnode 12 should be visited before node1\nnode 12 should be visited before node14\nnode 12 should be visited before node2\nnode 13 should be visited before node28\nnode 13 should be visited before node6\nnode 13 should be visited before node5\nnode 13 should be visited before node0\nnode 13 should be visited before node26\nnode 13 should be visited before node18\nnode 13 should be visited before node19\nnode 14 should be visited before node18\nnode 14 should be visited before node19\nnode 15 should be visited before node25\nnode 15 should be visited before node24\nnode 15 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node12\nnode 15 should be visited before node3\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 15 should be visited before node6\nnode 15 should be visited before node5\nnode 15 should be visited before node0\nnode 15 should be visited before node26\nnode 15 should be visited before node2\nnode 15 should be visited before node19\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node6\nnode 16 should be visited before node1\nnode 16 should be visited before node26\nnode 16 should be visited before node2\nnode 17 should be visited before node15\nnode 17 should be visited before node25\nnode 17 should be visited before node21\nnode 17 should be visited before node10\nnode 17 should be visited before node20\nnode 17 should be visited before node8\nnode 17 should be visited before node3\nnode 17 should be visited before node11\nnode 17 should be visited before node4\nnode 17 should be visited before node1\nnode 17 should be visited before node5\nnode 17 should be visited before node26\nnode 17 should be visited before node19\nnode 20 should be visited before node8\nnode 20 should be visited before node11\nnode 20 should be visited before node4\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 20 should be visited before node22\nnode 20 should be visited before node28\nnode 20 should be visited before node14\nnode 20 should be visited before node26\nnode 20 should be visited before node18\nnode 20 should be visited before node19\nnode 21 should be visited before node10\nnode 21 should be visited before node20\nnode 21 should be visited before node8\nnode 21 should be visited before node12\nnode 21 should be visited before node3\nnode 21 should be visited before node27\nnode 21 should be visited before node22\nnode 21 should be visited before node7\nnode 21 should be visited before node28\nnode 21 should be visited before node6\nnode 21 should be visited before node1\nnode 21 should be visited before node5\nnode 21 should be visited before node0\nnode 22 should be visited before node7\nnode 22 should be visited before node28\nnode 22 should be visited before node6\nnode 22 should be visited before node18\nnode 22 should be visited before node19\nnode 23 should be visited before node17\nnode 23 should be visited before node10\nnode 23 should be visited before node24\nnode 23 should be visited before node20\nnode 23 should be visited before node8\nnode 23 should be visited before node12\nnode 23 should be visited before node3\nnode 23 should be visited before node4\nnode 23 should be visited before node9\nnode 23 should be visited before node13\nnode 23 should be visited before node7\nnode 23 should be visited before node5\nnode 23 should be visited before node0\nnode 23 should be visited before node19\nnode 24 should be visited before node20\nnode 24 should be visited before node8\nnode 24 should be visited before node3\nnode 24 should be visited before node13\nnode 24 should be visited before node22\nnode 24 should be visited before node6\nnode 24 should be visited before node5\nnode 24 should be visited before node0\nnode 24 should be visited before node14\nnode 24 should be visited before node26\nnode 24 should be visited before node19\nnode 25 should be visited before node16\nnode 25 should be visited before node8\nnode 25 should be visited before node12\nnode 25 should be visited before node27\nnode 25 should be visited before node9\nnode 25 should be visited before node13\nnode 25 should be visited before node22\nnode 25 should be visited before node7\nnode 25 should be visited before node6\nnode 25 should be visited before node0\nnode 25 should be visited before node18\nnode 25 should be visited before node19\nnode 26 should be visited before node19\nnode 27 should be visited before node11\nnode 27 should be visited before node4\nnode 27 should be visited before node28\nnode 27 should be visited before node1\nnode 27 should be visited before node0\nnode 27 should be visited before node26\nnode 27 should be visited before node18\nnode 27 should be visited before node19\nnode 28 should be visited before node5\nnode 28 should be visited before node0\nnode 28 should be visited before node14\nnode 28 should be visited before node26\nnode 28 should be visited before node2\nnode 28 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "23,17,15,21,25,24,10,27,16,20,12,8,3,4,11,9,22,13,7,6,28,1,5,2,0,14,26,18,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph1050",
        "image": "data/topology/graph_visual/hard/graph1050.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node14\nnode 0 should be visited before node23\nnode 0 should be visited before node10\nnode 0 should be visited before node27\nnode 0 should be visited before node8\nnode 0 should be visited before node33\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node14\nnode 1 should be visited before node5\nnode 1 should be visited before node23\nnode 1 should be visited before node19\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 2 should be visited before node3\nnode 3 should be visited before node7\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 8 should be visited before node19\nnode 8 should be visited before node6\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node7\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node19\nnode 9 should be visited before node12\nnode 9 should be visited before node13\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 10 should be visited before node27\nnode 10 should be visited before node6\nnode 10 should be visited before node2\nnode 10 should be visited before node3\nnode 11 should be visited before node28\nnode 11 should be visited before node31\nnode 11 should be visited before node5\nnode 11 should be visited before node23\nnode 11 should be visited before node10\nnode 11 should be visited before node33\nnode 11 should be visited before node12\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 12 should be visited before node4\nnode 12 should be visited before node2\nnode 12 should be visited before node3\nnode 14 should be visited before node23\nnode 14 should be visited before node8\nnode 14 should be visited before node7\nnode 15 should be visited before node16\nnode 15 should be visited before node29\nnode 15 should be visited before node11\nnode 15 should be visited before node18\nnode 15 should be visited before node9\nnode 15 should be visited before node31\nnode 15 should be visited before node32\nnode 15 should be visited before node0\nnode 15 should be visited before node14\nnode 15 should be visited before node5\nnode 15 should be visited before node23\nnode 15 should be visited before node33\nnode 15 should be visited before node19\nnode 16 should be visited before node24\nnode 16 should be visited before node20\nnode 16 should be visited before node11\nnode 16 should be visited before node18\nnode 16 should be visited before node9\nnode 16 should be visited before node1\nnode 16 should be visited before node0\nnode 16 should be visited before node23\nnode 16 should be visited before node10\nnode 16 should be visited before node33\nnode 16 should be visited before node19\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 17 should be visited before node30\nnode 17 should be visited before node21\nnode 17 should be visited before node26\nnode 17 should be visited before node29\nnode 17 should be visited before node20\nnode 17 should be visited before node18\nnode 17 should be visited before node31\nnode 17 should be visited before node32\nnode 17 should be visited before node1\nnode 17 should be visited before node14\nnode 17 should be visited before node23\nnode 17 should be visited before node27\nnode 17 should be visited before node33\nnode 17 should be visited before node6\nnode 17 should be visited before node4\nnode 17 should be visited before node13\nnode 17 should be visited before node7\nnode 18 should be visited before node28\nnode 18 should be visited before node9\nnode 18 should be visited before node31\nnode 18 should be visited before node1\nnode 18 should be visited before node0\nnode 18 should be visited before node23\nnode 18 should be visited before node27\nnode 18 should be visited before node33\nnode 18 should be visited before node19\nnode 18 should be visited before node6\nnode 18 should be visited before node13\nnode 18 should be visited before node2\nnode 19 should be visited before node12\nnode 19 should be visited before node2\nnode 20 should be visited before node18\nnode 20 should be visited before node28\nnode 20 should be visited before node31\nnode 20 should be visited before node22\nnode 20 should be visited before node0\nnode 20 should be visited before node5\nnode 20 should be visited before node23\nnode 20 should be visited before node27\nnode 20 should be visited before node33\nnode 20 should be visited before node19\nnode 20 should be visited before node4\nnode 20 should be visited before node13\nnode 20 should be visited before node2\nnode 20 should be visited before node7\nnode 21 should be visited before node26\nnode 21 should be visited before node16\nnode 21 should be visited before node18\nnode 21 should be visited before node31\nnode 21 should be visited before node32\nnode 21 should be visited before node22\nnode 21 should be visited before node14\nnode 21 should be visited before node5\nnode 21 should be visited before node33\nnode 21 should be visited before node12\nnode 21 should be visited before node13\nnode 21 should be visited before node2\nnode 21 should be visited before node3\nnode 21 should be visited before node7\nnode 22 should be visited before node1\nnode 22 should be visited before node23\nnode 22 should be visited before node27\nnode 22 should be visited before node19\nnode 22 should be visited before node2\nnode 23 should be visited before node10\nnode 23 should be visited before node6\nnode 23 should be visited before node12\nnode 23 should be visited before node4\nnode 23 should be visited before node13\nnode 23 should be visited before node2\nnode 23 should be visited before node7\nnode 24 should be visited before node28\nnode 24 should be visited before node9\nnode 24 should be visited before node31\nnode 24 should be visited before node1\nnode 24 should be visited before node5\nnode 24 should be visited before node23\nnode 24 should be visited before node10\nnode 24 should be visited before node27\nnode 24 should be visited before node33\nnode 24 should be visited before node19\nnode 24 should be visited before node2\nnode 24 should be visited before node3\nnode 24 should be visited before node7\nnode 25 should be visited before node17\nnode 25 should be visited before node15\nnode 25 should be visited before node29\nnode 25 should be visited before node24\nnode 25 should be visited before node20\nnode 25 should be visited before node18\nnode 25 should be visited before node28\nnode 25 should be visited before node9\nnode 25 should be visited before node31\nnode 25 should be visited before node32\nnode 25 should be visited before node22\nnode 25 should be visited before node0\nnode 25 should be visited before node14\nnode 25 should be visited before node5\nnode 25 should be visited before node27\nnode 25 should be visited before node8\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 25 should be visited before node13\nnode 25 should be visited before node2\nnode 25 should be visited before node7\nnode 26 should be visited before node29\nnode 26 should be visited before node18\nnode 26 should be visited before node9\nnode 26 should be visited before node0\nnode 26 should be visited before node14\nnode 26 should be visited before node23\nnode 26 should be visited before node10\nnode 26 should be visited before node27\nnode 26 should be visited before node8\nnode 26 should be visited before node33\nnode 26 should be visited before node19\nnode 26 should be visited before node7\nnode 27 should be visited before node19\nnode 27 should be visited before node12\nnode 28 should be visited before node9\nnode 28 should be visited before node22\nnode 28 should be visited before node1\nnode 28 should be visited before node23\nnode 28 should be visited before node27\nnode 28 should be visited before node8\nnode 28 should be visited before node33\nnode 28 should be visited before node6\nnode 28 should be visited before node12\nnode 28 should be visited before node4\nnode 28 should be visited before node13\nnode 28 should be visited before node7\nnode 29 should be visited before node24\nnode 29 should be visited before node20\nnode 29 should be visited before node18\nnode 29 should be visited before node9\nnode 29 should be visited before node1\nnode 29 should be visited before node0\nnode 29 should be visited before node5\nnode 29 should be visited before node23\nnode 29 should be visited before node27\nnode 29 should be visited before node19\nnode 29 should be visited before node4\nnode 29 should be visited before node13\nnode 29 should be visited before node7\nnode 30 should be visited before node21\nnode 30 should be visited before node26\nnode 30 should be visited before node15\nnode 30 should be visited before node16\nnode 30 should be visited before node29\nnode 30 should be visited before node11\nnode 30 should be visited before node9\nnode 30 should be visited before node31\nnode 30 should be visited before node32\nnode 30 should be visited before node22\nnode 30 should be visited before node1\nnode 30 should be visited before node14\nnode 30 should be visited before node5\nnode 30 should be visited before node23\nnode 30 should be visited before node8\nnode 30 should be visited before node33\nnode 30 should be visited before node19\nnode 30 should be visited before node12\nnode 30 should be visited before node4\nnode 30 should be visited before node2\nnode 31 should be visited before node32\nnode 31 should be visited before node0\nnode 31 should be visited before node5\nnode 31 should be visited before node10\nnode 31 should be visited before node27\nnode 31 should be visited before node8\nnode 31 should be visited before node33\nnode 31 should be visited before node6\nnode 31 should be visited before node4\nnode 31 should be visited before node3\nnode 31 should be visited before node7\nnode 32 should be visited before node0\nnode 32 should be visited before node14\nnode 32 should be visited before node5\nnode 32 should be visited before node23\nnode 32 should be visited before node27\nnode 32 should be visited before node33\nnode 32 should be visited before node6\nnode 32 should be visited before node4\nnode 32 should be visited before node13\nnode 32 should be visited before node2\nnode 32 should be visited before node3\nnode 33 should be visited before node19\nnode 33 should be visited before node13\nnode 33 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "25,17,30,21,15,26,16,29,11,24,20,18,28,31,9,22,32,1,0,5,14,33,23,8,10,27,6,19,12,4,13,2,3,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph1016",
        "image": "data/topology/graph_visual/hard/graph1016.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node4\nnode 0 should be visited before node24\nnode 0 should be visited before node7\nnode 0 should be visited before node8\nnode 0 should be visited before node20\nnode 1 should be visited before node17\nnode 1 should be visited before node20\nnode 2 should be visited before node32\nnode 2 should be visited before node33\nnode 2 should be visited before node0\nnode 2 should be visited before node1\nnode 2 should be visited before node7\nnode 3 should be visited before node33\nnode 4 should be visited before node24\nnode 4 should be visited before node25\nnode 4 should be visited before node20\nnode 4 should be visited before node10\nnode 5 should be visited before node22\nnode 5 should be visited before node26\nnode 5 should be visited before node31\nnode 5 should be visited before node6\nnode 5 should be visited before node32\nnode 5 should be visited before node33\nnode 5 should be visited before node0\nnode 5 should be visited before node25\nnode 5 should be visited before node10\nnode 6 should be visited before node32\nnode 6 should be visited before node12\nnode 6 should be visited before node1\nnode 6 should be visited before node24\nnode 7 should be visited before node19\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node20\nnode 9 should be visited before node5\nnode 9 should be visited before node11\nnode 9 should be visited before node22\nnode 9 should be visited before node30\nnode 9 should be visited before node23\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 9 should be visited before node14\nnode 9 should be visited before node33\nnode 9 should be visited before node0\nnode 9 should be visited before node27\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 9 should be visited before node25\nnode 9 should be visited before node10\nnode 11 should be visited before node6\nnode 11 should be visited before node2\nnode 11 should be visited before node28\nnode 11 should be visited before node3\nnode 11 should be visited before node12\nnode 11 should be visited before node0\nnode 11 should be visited before node4\nnode 11 should be visited before node7\nnode 11 should be visited before node25\nnode 11 should be visited before node10\nnode 12 should be visited before node33\nnode 12 should be visited before node27\nnode 12 should be visited before node20\nnode 13 should be visited before node6\nnode 13 should be visited before node32\nnode 13 should be visited before node0\nnode 13 should be visited before node24\nnode 13 should be visited before node8\nnode 13 should be visited before node25\nnode 14 should be visited before node33\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node24\nnode 14 should be visited before node7\nnode 14 should be visited before node10\nnode 15 should be visited before node29\nnode 15 should be visited before node16\nnode 15 should be visited before node22\nnode 15 should be visited before node26\nnode 15 should be visited before node14\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node8\nnode 16 should be visited before node30\nnode 16 should be visited before node13\nnode 16 should be visited before node2\nnode 16 should be visited before node3\nnode 16 should be visited before node33\nnode 16 should be visited before node0\nnode 16 should be visited before node25\nnode 17 should be visited before node20\nnode 17 should be visited before node10\nnode 18 should be visited before node30\nnode 18 should be visited before node26\nnode 18 should be visited before node13\nnode 18 should be visited before node31\nnode 18 should be visited before node3\nnode 18 should be visited before node0\nnode 18 should be visited before node1\nnode 18 should be visited before node7\nnode 18 should be visited before node25\nnode 19 should be visited before node20\nnode 19 should be visited before node10\nnode 21 should be visited before node16\nnode 21 should be visited before node22\nnode 21 should be visited before node31\nnode 21 should be visited before node2\nnode 21 should be visited before node3\nnode 21 should be visited before node12\nnode 21 should be visited before node0\nnode 21 should be visited before node1\nnode 21 should be visited before node4\nnode 21 should be visited before node24\nnode 21 should be visited before node8\nnode 21 should be visited before node20\nnode 21 should be visited before node10\nnode 22 should be visited before node26\nnode 22 should be visited before node23\nnode 22 should be visited before node3\nnode 22 should be visited before node12\nnode 22 should be visited before node14\nnode 22 should be visited before node33\nnode 22 should be visited before node27\nnode 22 should be visited before node1\nnode 22 should be visited before node17\nnode 22 should be visited before node20\nnode 22 should be visited before node10\nnode 23 should be visited before node2\nnode 23 should be visited before node28\nnode 23 should be visited before node3\nnode 23 should be visited before node32\nnode 23 should be visited before node14\nnode 23 should be visited before node33\nnode 23 should be visited before node1\nnode 23 should be visited before node24\nnode 23 should be visited before node7\nnode 24 should be visited before node17\nnode 24 should be visited before node25\nnode 24 should be visited before node10\nnode 25 should be visited before node20\nnode 25 should be visited before node10\nnode 26 should be visited before node13\nnode 26 should be visited before node6\nnode 26 should be visited before node33\nnode 26 should be visited before node27\nnode 26 should be visited before node8\nnode 26 should be visited before node20\nnode 26 should be visited before node10\nnode 27 should be visited before node8\nnode 27 should be visited before node17\nnode 27 should be visited before node25\nnode 27 should be visited before node20\nnode 28 should be visited before node12\nnode 28 should be visited before node14\nnode 28 should be visited before node33\nnode 28 should be visited before node4\nnode 28 should be visited before node19\nnode 29 should be visited before node18\nnode 29 should be visited before node16\nnode 29 should be visited before node30\nnode 29 should be visited before node13\nnode 29 should be visited before node1\nnode 29 should be visited before node4\nnode 29 should be visited before node19\nnode 29 should be visited before node20\nnode 30 should be visited before node2\nnode 30 should be visited before node3\nnode 30 should be visited before node14\nnode 30 should be visited before node33\nnode 30 should be visited before node4\nnode 30 should be visited before node7\nnode 30 should be visited before node17\nnode 30 should be visited before node10\nnode 31 should be visited before node3\nnode 31 should be visited before node12\nnode 31 should be visited before node27\nnode 31 should be visited before node4\nnode 31 should be visited before node7\nnode 31 should be visited before node19\nnode 31 should be visited before node25\nnode 31 should be visited before node20\nnode 32 should be visited before node12\nnode 32 should be visited before node33\nnode 32 should be visited before node1\nnode 32 should be visited before node24\nnode 32 should be visited before node25\nnode 33 should be visited before node27\nnode 33 should be visited before node1\nnode 33 should be visited before node24\nnode 33 should be visited before node19\nnode 33 should be visited before node8\nnode 33 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,15,21,5,11,29,22,18,16,23,26,31,30,28,13,2,3,14,6,0,32,4,7,12,33,27,1,24,19,8,25,17,20,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph25",
        "image": "data/topology/graph_visual/hard/graph25.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node12\nnode 0 should be visited before node23\nnode 0 should be visited before node5\nnode 0 should be visited before node8\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 2 should be visited before node8\nnode 2 should be visited before node4\nnode 2 should be visited before node20\nnode 3 should be visited before node21\nnode 3 should be visited before node25\nnode 3 should be visited before node24\nnode 3 should be visited before node6\nnode 3 should be visited before node1\nnode 3 should be visited before node5\nnode 3 should be visited before node2\nnode 3 should be visited before node17\nnode 3 should be visited before node20\nnode 5 should be visited before node2\nnode 5 should be visited before node14\nnode 6 should be visited before node5\nnode 6 should be visited before node2\nnode 7 should be visited before node23\nnode 7 should be visited before node17\nnode 9 should be visited before node24\nnode 9 should be visited before node15\nnode 9 should be visited before node1\nnode 9 should be visited before node7\nnode 9 should be visited before node23\nnode 9 should be visited before node2\nnode 9 should be visited before node17\nnode 10 should be visited before node18\nnode 10 should be visited before node0\nnode 10 should be visited before node11\nnode 10 should be visited before node12\nnode 10 should be visited before node23\nnode 10 should be visited before node14\nnode 10 should be visited before node17\nnode 10 should be visited before node4\nnode 11 should be visited before node1\nnode 11 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node12\nnode 13 should be visited before node8\nnode 14 should be visited before node4\nnode 14 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node20\nnode 16 should be visited before node24\nnode 16 should be visited before node0\nnode 16 should be visited before node15\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node12\nnode 16 should be visited before node23\nnode 16 should be visited before node2\nnode 16 should be visited before node17\nnode 16 should be visited before node8\nnode 17 should be visited before node4\nnode 18 should be visited before node0\nnode 18 should be visited before node15\nnode 18 should be visited before node11\nnode 18 should be visited before node6\nnode 18 should be visited before node13\nnode 18 should be visited before node12\nnode 18 should be visited before node4\nnode 19 should be visited before node10\nnode 19 should be visited before node0\nnode 19 should be visited before node6\nnode 19 should be visited before node7\nnode 19 should be visited before node8\nnode 19 should be visited before node4\nnode 21 should be visited before node9\nnode 21 should be visited before node0\nnode 21 should be visited before node11\nnode 21 should be visited before node6\nnode 21 should be visited before node13\nnode 21 should be visited before node5\nnode 21 should be visited before node17\nnode 22 should be visited before node21\nnode 22 should be visited before node16\nnode 22 should be visited before node24\nnode 22 should be visited before node1\nnode 22 should be visited before node13\nnode 22 should be visited before node12\nnode 22 should be visited before node23\nnode 22 should be visited before node5\nnode 22 should be visited before node2\nnode 22 should be visited before node8\nnode 23 should be visited before node2\nnode 23 should be visited before node14\nnode 23 should be visited before node4\nnode 24 should be visited before node18\nnode 24 should be visited before node8\nnode 25 should be visited before node16\nnode 25 should be visited before node6\nnode 25 should be visited before node5\nnode 25 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,19,22,25,10,21,16,9,24,18,0,15,11,6,1,13,5,7,12,23,17,2,14,8,4,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph881",
        "image": "data/topology/graph_visual/hard/graph881.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node26\nnode 1 should be visited before node9\nnode 1 should be visited before node11\nnode 1 should be visited before node27\nnode 1 should be visited before node20\nnode 1 should be visited before node12\nnode 1 should be visited before node13\nnode 1 should be visited before node26\nnode 3 should be visited before node27\nnode 3 should be visited before node32\nnode 3 should be visited before node25\nnode 3 should be visited before node12\nnode 3 should be visited before node0\nnode 3 should be visited before node26\nnode 3 should be visited before node22\nnode 3 should be visited before node18\nnode 4 should be visited before node10\nnode 4 should be visited before node9\nnode 4 should be visited before node28\nnode 4 should be visited before node3\nnode 4 should be visited before node17\nnode 4 should be visited before node0\nnode 4 should be visited before node13\nnode 4 should be visited before node26\nnode 5 should be visited before node4\nnode 5 should be visited before node9\nnode 5 should be visited before node3\nnode 5 should be visited before node25\nnode 5 should be visited before node20\nnode 5 should be visited before node12\nnode 5 should be visited before node13\nnode 5 should be visited before node26\nnode 5 should be visited before node2\nnode 6 should be visited before node12\nnode 6 should be visited before node18\nnode 7 should be visited before node21\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 8 should be visited before node0\nnode 8 should be visited before node13\nnode 9 should be visited before node27\nnode 9 should be visited before node6\nnode 9 should be visited before node8\nnode 10 should be visited before node29\nnode 10 should be visited before node16\nnode 10 should be visited before node22\nnode 10 should be visited before node2\nnode 11 should be visited before node3\nnode 11 should be visited before node25\nnode 11 should be visited before node20\nnode 11 should be visited before node7\nnode 11 should be visited before node21\nnode 11 should be visited before node8\nnode 13 should be visited before node2\nnode 14 should be visited before node3\nnode 14 should be visited before node32\nnode 14 should be visited before node17\nnode 14 should be visited before node12\nnode 14 should be visited before node22\nnode 15 should be visited before node1\nnode 15 should be visited before node30\nnode 15 should be visited before node3\nnode 15 should be visited before node7\nnode 15 should be visited before node8\nnode 15 should be visited before node12\nnode 15 should be visited before node13\nnode 16 should be visited before node0\nnode 16 should be visited before node13\nnode 16 should be visited before node18\nnode 17 should be visited before node16\nnode 17 should be visited before node21\nnode 17 should be visited before node12\nnode 18 should be visited before node2\nnode 19 should be visited before node23\nnode 19 should be visited before node24\nnode 19 should be visited before node5\nnode 19 should be visited before node28\nnode 19 should be visited before node14\nnode 19 should be visited before node20\nnode 19 should be visited before node7\nnode 19 should be visited before node21\nnode 19 should be visited before node26\nnode 19 should be visited before node22\nnode 19 should be visited before node18\nnode 19 should be visited before node2\nnode 20 should be visited before node17\nnode 20 should be visited before node16\nnode 20 should be visited before node13\nnode 20 should be visited before node22\nnode 20 should be visited before node18\nnode 21 should be visited before node0\nnode 21 should be visited before node2\nnode 22 should be visited before node2\nnode 23 should be visited before node5\nnode 23 should be visited before node29\nnode 23 should be visited before node32\nnode 23 should be visited before node20\nnode 23 should be visited before node7\nnode 24 should be visited before node15\nnode 24 should be visited before node29\nnode 24 should be visited before node28\nnode 24 should be visited before node32\nnode 24 should be visited before node6\nnode 24 should be visited before node17\nnode 24 should be visited before node8\nnode 24 should be visited before node12\nnode 24 should be visited before node0\nnode 24 should be visited before node13\nnode 25 should be visited before node17\nnode 25 should be visited before node21\nnode 25 should be visited before node12\nnode 25 should be visited before node26\nnode 25 should be visited before node2\nnode 26 should be visited before node2\nnode 27 should be visited before node25\nnode 27 should be visited before node20\nnode 27 should be visited before node7\nnode 27 should be visited before node0\nnode 27 should be visited before node26\nnode 28 should be visited before node27\nnode 28 should be visited before node25\nnode 28 should be visited before node7\nnode 28 should be visited before node18\nnode 28 should be visited before node2\nnode 29 should be visited before node9\nnode 29 should be visited before node27\nnode 29 should be visited before node6\nnode 29 should be visited before node20\nnode 29 should be visited before node8\nnode 29 should be visited before node13\nnode 29 should be visited before node18\nnode 29 should be visited before node2\nnode 30 should be visited before node3\nnode 30 should be visited before node25\nnode 30 should be visited before node7\nnode 30 should be visited before node26\nnode 30 should be visited before node2\nnode 31 should be visited before node11\nnode 31 should be visited before node27\nnode 31 should be visited before node32\nnode 31 should be visited before node6\nnode 31 should be visited before node7\nnode 31 should be visited before node16\nnode 31 should be visited before node21\nnode 31 should be visited before node13\nnode 31 should be visited before node22\nnode 32 should be visited before node20\nnode 32 should be visited before node7\nnode 32 should be visited before node17\nnode 32 should be visited before node12\nnode 32 should be visited before node26\nnode 32 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,31,23,24,14,5,15,4,1,30,10,28,11,29,3,9,32,27,6,8,25,20,7,17,22,16,21,12,13,18,0,26,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph1181",
        "image": "data/topology/graph_visual/hard/graph1181.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node3\nnode 0 should be visited before node24\nnode 0 should be visited before node15\nnode 1 should be visited before node31\nnode 1 should be visited before node21\nnode 1 should be visited before node5\nnode 1 should be visited before node13\nnode 1 should be visited before node16\nnode 1 should be visited before node33\nnode 1 should be visited before node4\nnode 1 should be visited before node22\nnode 1 should be visited before node34\nnode 1 should be visited before node17\nnode 1 should be visited before node0\nnode 1 should be visited before node26\nnode 1 should be visited before node24\nnode 1 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node19\nnode 2 should be visited before node8\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node13\nnode 2 should be visited before node16\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 2 should be visited before node20\nnode 2 should be visited before node17\nnode 2 should be visited before node24\nnode 2 should be visited before node23\nnode 3 should be visited before node12\nnode 4 should be visited before node22\nnode 4 should be visited before node34\nnode 4 should be visited before node0\nnode 4 should be visited before node24\nnode 4 should be visited before node15\nnode 5 should be visited before node16\nnode 5 should be visited before node25\nnode 5 should be visited before node4\nnode 5 should be visited before node34\nnode 5 should be visited before node27\nnode 5 should be visited before node20\nnode 5 should be visited before node12\nnode 5 should be visited before node23\nnode 5 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node33\nnode 6 should be visited before node25\nnode 6 should be visited before node4\nnode 6 should be visited before node22\nnode 6 should be visited before node28\nnode 6 should be visited before node20\nnode 6 should be visited before node17\nnode 6 should be visited before node0\nnode 6 should be visited before node3\nnode 7 should be visited before node12\nnode 7 should be visited before node23\nnode 7 should be visited before node15\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node31\nnode 8 should be visited before node5\nnode 8 should be visited before node6\nnode 8 should be visited before node32\nnode 8 should be visited before node13\nnode 8 should be visited before node33\nnode 8 should be visited before node25\nnode 8 should be visited before node29\nnode 8 should be visited before node18\nnode 8 should be visited before node34\nnode 8 should be visited before node27\nnode 8 should be visited before node20\nnode 8 should be visited before node0\nnode 8 should be visited before node7\nnode 8 should be visited before node12\nnode 9 should be visited before node19\nnode 9 should be visited before node30\nnode 9 should be visited before node8\nnode 9 should be visited before node14\nnode 9 should be visited before node5\nnode 9 should be visited before node32\nnode 9 should be visited before node13\nnode 9 should be visited before node33\nnode 9 should be visited before node29\nnode 9 should be visited before node4\nnode 9 should be visited before node18\nnode 9 should be visited before node34\nnode 9 should be visited before node27\nnode 9 should be visited before node20\nnode 9 should be visited before node17\nnode 9 should be visited before node0\nnode 9 should be visited before node12\nnode 9 should be visited before node26\nnode 9 should be visited before node24\nnode 9 should be visited before node23\nnode 10 should be visited before node31\nnode 10 should be visited before node21\nnode 10 should be visited before node13\nnode 10 should be visited before node16\nnode 10 should be visited before node33\nnode 10 should be visited before node25\nnode 10 should be visited before node29\nnode 10 should be visited before node22\nnode 10 should be visited before node17\nnode 10 should be visited before node0\nnode 10 should be visited before node3\nnode 10 should be visited before node23\nnode 10 should be visited before node15\nnode 11 should be visited before node10\nnode 11 should be visited before node21\nnode 11 should be visited before node6\nnode 11 should be visited before node32\nnode 11 should be visited before node13\nnode 11 should be visited before node16\nnode 11 should be visited before node4\nnode 11 should be visited before node28\nnode 11 should be visited before node0\nnode 11 should be visited before node7\nnode 11 should be visited before node26\nnode 11 should be visited before node23\nnode 12 should be visited before node26\nnode 13 should be visited before node25\nnode 13 should be visited before node29\nnode 13 should be visited before node4\nnode 13 should be visited before node18\nnode 13 should be visited before node34\nnode 13 should be visited before node27\nnode 13 should be visited before node20\nnode 13 should be visited before node0\nnode 13 should be visited before node12\nnode 13 should be visited before node23\nnode 14 should be visited before node1\nnode 14 should be visited before node31\nnode 14 should be visited before node5\nnode 14 should be visited before node13\nnode 14 should be visited before node33\nnode 14 should be visited before node28\nnode 14 should be visited before node27\nnode 14 should be visited before node3\nnode 14 should be visited before node12\nnode 14 should be visited before node15\nnode 16 should be visited before node33\nnode 16 should be visited before node29\nnode 16 should be visited before node4\nnode 16 should be visited before node22\nnode 16 should be visited before node28\nnode 16 should be visited before node18\nnode 16 should be visited before node34\nnode 16 should be visited before node20\nnode 16 should be visited before node17\nnode 16 should be visited before node0\nnode 16 should be visited before node3\nnode 16 should be visited before node7\nnode 16 should be visited before node26\nnode 16 should be visited before node24\nnode 16 should be visited before node23\nnode 16 should be visited before node15\nnode 17 should be visited before node12\nnode 17 should be visited before node26\nnode 17 should be visited before node23\nnode 17 should be visited before node15\nnode 18 should be visited before node27\nnode 18 should be visited before node0\nnode 18 should be visited before node3\nnode 18 should be visited before node23\nnode 19 should be visited before node8\nnode 19 should be visited before node14\nnode 19 should be visited before node31\nnode 19 should be visited before node21\nnode 19 should be visited before node5\nnode 19 should be visited before node6\nnode 19 should be visited before node32\nnode 19 should be visited before node25\nnode 19 should be visited before node29\nnode 19 should be visited before node22\nnode 19 should be visited before node18\nnode 19 should be visited before node34\nnode 19 should be visited before node27\nnode 19 should be visited before node0\nnode 19 should be visited before node7\nnode 19 should be visited before node24\nnode 19 should be visited before node23\nnode 20 should be visited before node3\nnode 20 should be visited before node7\nnode 20 should be visited before node12\nnode 20 should be visited before node24\nnode 21 should be visited before node33\nnode 21 should be visited before node34\nnode 21 should be visited before node27\nnode 21 should be visited before node20\nnode 21 should be visited before node17\nnode 21 should be visited before node0\nnode 21 should be visited before node3\nnode 21 should be visited before node26\nnode 21 should be visited before node15\nnode 22 should be visited before node27\nnode 22 should be visited before node20\nnode 22 should be visited before node0\nnode 22 should be visited before node3\nnode 22 should be visited before node7\nnode 22 should be visited before node12\nnode 24 should be visited before node23\nnode 24 should be visited before node15\nnode 25 should be visited before node29\nnode 25 should be visited before node4\nnode 25 should be visited before node22\nnode 25 should be visited before node17\nnode 25 should be visited before node3\nnode 25 should be visited before node7\nnode 25 should be visited before node12\nnode 25 should be visited before node26\nnode 25 should be visited before node15\nnode 26 should be visited before node23\nnode 27 should be visited before node20\nnode 27 should be visited before node17\nnode 27 should be visited before node0\nnode 27 should be visited before node3\nnode 27 should be visited before node26\nnode 27 should be visited before node24\nnode 28 should be visited before node18\nnode 28 should be visited before node34\nnode 28 should be visited before node20\nnode 28 should be visited before node17\nnode 28 should be visited before node3\nnode 28 should be visited before node7\nnode 28 should be visited before node12\nnode 28 should be visited before node26\nnode 28 should be visited before node24\nnode 29 should be visited before node34\nnode 29 should be visited before node27\nnode 29 should be visited before node20\nnode 29 should be visited before node17\nnode 29 should be visited before node0\nnode 29 should be visited before node24\nnode 29 should be visited before node15\nnode 30 should be visited before node21\nnode 30 should be visited before node6\nnode 30 should be visited before node32\nnode 30 should be visited before node13\nnode 30 should be visited before node33\nnode 30 should be visited before node25\nnode 30 should be visited before node22\nnode 30 should be visited before node27\nnode 30 should be visited before node3\nnode 30 should be visited before node7\nnode 30 should be visited before node12\nnode 30 should be visited before node26\nnode 31 should be visited before node32\nnode 31 should be visited before node13\nnode 31 should be visited before node33\nnode 31 should be visited before node25\nnode 31 should be visited before node22\nnode 31 should be visited before node28\nnode 31 should be visited before node34\nnode 31 should be visited before node27\nnode 31 should be visited before node0\nnode 31 should be visited before node7\nnode 31 should be visited before node23\nnode 32 should be visited before node16\nnode 32 should be visited before node33\nnode 32 should be visited before node25\nnode 32 should be visited before node22\nnode 32 should be visited before node27\nnode 32 should be visited before node20\nnode 32 should be visited before node17\nnode 32 should be visited before node0\nnode 32 should be visited before node3\nnode 32 should be visited before node24\nnode 32 should be visited before node23\nnode 32 should be visited before node15\nnode 33 should be visited before node25\nnode 33 should be visited before node34\nnode 33 should be visited before node27\nnode 33 should be visited before node20\nnode 33 should be visited before node0\nnode 33 should be visited before node7\nnode 33 should be visited before node26\nnode 33 should be visited before node24\nnode 33 should be visited before node23\nnode 34 should be visited before node20\nnode 34 should be visited before node17\nnode 34 should be visited before node24\nnode 34 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,9,19,30,8,14,11,1,10,6,5,31,21,32,13,16,33,28,25,18,29,4,22,34,27,20,17,0,7,3,24,12,15,26,23."
            }
        ]
    },
    {
        "id": "topology-hard-graph508",
        "image": "data/topology/graph_visual/hard/graph508.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node8\nnode 0 should be visited before node21\nnode 0 should be visited before node22\nnode 0 should be visited before node6\nnode 0 should be visited before node3\nnode 0 should be visited before node28\nnode 0 should be visited before node11\nnode 1 should be visited before node25\nnode 1 should be visited before node29\nnode 1 should be visited before node19\nnode 2 should be visited before node16\nnode 2 should be visited before node18\nnode 2 should be visited before node27\nnode 2 should be visited before node25\nnode 2 should be visited before node29\nnode 2 should be visited before node22\nnode 3 should be visited before node28\nnode 4 should be visited before node9\nnode 4 should be visited before node20\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node19\nnode 7 should be visited before node13\nnode 8 should be visited before node29\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node24\nnode 9 should be visited before node20\nnode 9 should be visited before node8\nnode 9 should be visited before node29\nnode 9 should be visited before node5\nnode 9 should be visited before node7\nnode 9 should be visited before node15\nnode 10 should be visited before node28\nnode 10 should be visited before node11\nnode 10 should be visited before node19\nnode 11 should be visited before node15\nnode 12 should be visited before node0\nnode 12 should be visited before node10\nnode 12 should be visited before node8\nnode 12 should be visited before node29\nnode 12 should be visited before node17\nnode 12 should be visited before node5\nnode 12 should be visited before node6\nnode 12 should be visited before node11\nnode 12 should be visited before node13\nnode 12 should be visited before node19\nnode 13 should be visited before node19\nnode 14 should be visited before node9\nnode 14 should be visited before node25\nnode 14 should be visited before node8\nnode 14 should be visited before node21\nnode 14 should be visited before node22\nnode 14 should be visited before node3\nnode 15 should be visited before node19\nnode 16 should be visited before node12\nnode 16 should be visited before node10\nnode 16 should be visited before node8\nnode 16 should be visited before node5\nnode 16 should be visited before node13\nnode 17 should be visited before node5\nnode 17 should be visited before node6\nnode 17 should be visited before node13\nnode 18 should be visited before node27\nnode 18 should be visited before node1\nnode 18 should be visited before node20\nnode 18 should be visited before node10\nnode 18 should be visited before node8\nnode 18 should be visited before node21\nnode 18 should be visited before node3\nnode 18 should be visited before node28\nnode 18 should be visited before node19\nnode 20 should be visited before node8\nnode 20 should be visited before node29\nnode 20 should be visited before node17\nnode 20 should be visited before node13\nnode 21 should be visited before node22\nnode 21 should be visited before node17\nnode 21 should be visited before node6\nnode 21 should be visited before node11\nnode 21 should be visited before node15\nnode 22 should be visited before node28\nnode 22 should be visited before node7\nnode 22 should be visited before node11\nnode 22 should be visited before node13\nnode 23 should be visited before node4\nnode 23 should be visited before node29\nnode 23 should be visited before node5\nnode 23 should be visited before node7\nnode 23 should be visited before node11\nnode 24 should be visited before node25\nnode 24 should be visited before node10\nnode 24 should be visited before node22\nnode 24 should be visited before node7\nnode 24 should be visited before node13\nnode 25 should be visited before node10\nnode 25 should be visited before node21\nnode 25 should be visited before node3\nnode 25 should be visited before node11\nnode 25 should be visited before node13\nnode 25 should be visited before node15\nnode 25 should be visited before node19\nnode 26 should be visited before node23\nnode 26 should be visited before node9\nnode 26 should be visited before node20\nnode 26 should be visited before node10\nnode 26 should be visited before node6\nnode 26 should be visited before node19\nnode 27 should be visited before node4\nnode 27 should be visited before node24\nnode 27 should be visited before node25\nnode 27 should be visited before node8\nnode 27 should be visited before node6\nnode 27 should be visited before node13\nnode 28 should be visited before node11\nnode 28 should be visited before node19\nnode 29 should be visited before node17\nnode 29 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,14,26,16,18,23,12,27,0,4,9,1,24,20,25,8,10,21,29,3,22,17,28,5,6,11,7,15,13,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph200",
        "image": "data/topology/graph_visual/hard/graph200.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 1 should be visited before node24\nnode 1 should be visited before node8\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node21\nnode 1 should be visited before node19\nnode 1 should be visited before node2\nnode 1 should be visited before node7\nnode 1 should be visited before node14\nnode 1 should be visited before node12\nnode 2 should be visited before node14\nnode 2 should be visited before node26\nnode 2 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node22\nnode 3 should be visited before node17\nnode 3 should be visited before node4\nnode 3 should be visited before node26\nnode 3 should be visited before node6\nnode 3 should be visited before node16\nnode 3 should be visited before node12\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node12\nnode 4 should be visited before node13\nnode 5 should be visited before node26\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node12\nnode 6 should be visited before node0\nnode 6 should be visited before node13\nnode 7 should be visited before node0\nnode 7 should be visited before node11\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node17\nnode 8 should be visited before node23\nnode 8 should be visited before node19\nnode 8 should be visited before node15\nnode 8 should be visited before node2\nnode 8 should be visited before node7\nnode 8 should be visited before node4\nnode 8 should be visited before node16\nnode 8 should be visited before node12\nnode 8 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node19\nnode 9 should be visited before node15\nnode 9 should be visited before node5\nnode 9 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node12\nnode 10 should be visited before node9\nnode 10 should be visited before node22\nnode 10 should be visited before node17\nnode 10 should be visited before node23\nnode 10 should be visited before node15\nnode 10 should be visited before node5\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node6\nnode 10 should be visited before node16\nnode 10 should be visited before node0\nnode 11 should be visited before node13\nnode 14 should be visited before node4\nnode 14 should be visited before node26\nnode 14 should be visited before node6\nnode 14 should be visited before node0\nnode 14 should be visited before node11\nnode 15 should be visited before node2\nnode 15 should be visited before node7\nnode 15 should be visited before node14\nnode 15 should be visited before node4\nnode 15 should be visited before node16\nnode 15 should be visited before node12\nnode 16 should be visited before node0\nnode 17 should be visited before node23\nnode 17 should be visited before node19\nnode 17 should be visited before node15\nnode 17 should be visited before node5\nnode 17 should be visited before node14\nnode 17 should be visited before node13\nnode 18 should be visited before node21\nnode 18 should be visited before node9\nnode 18 should be visited before node22\nnode 18 should be visited before node17\nnode 18 should be visited before node23\nnode 18 should be visited before node15\nnode 18 should be visited before node5\nnode 18 should be visited before node7\nnode 18 should be visited before node4\nnode 18 should be visited before node26\nnode 18 should be visited before node0\nnode 19 should be visited before node15\nnode 19 should be visited before node7\nnode 19 should be visited before node14\nnode 19 should be visited before node26\nnode 19 should be visited before node16\nnode 19 should be visited before node11\nnode 20 should be visited before node24\nnode 20 should be visited before node8\nnode 20 should be visited before node10\nnode 20 should be visited before node3\nnode 20 should be visited before node18\nnode 20 should be visited before node21\nnode 20 should be visited before node9\nnode 20 should be visited before node22\nnode 20 should be visited before node17\nnode 20 should be visited before node19\nnode 20 should be visited before node5\nnode 20 should be visited before node7\nnode 20 should be visited before node14\nnode 20 should be visited before node16\nnode 20 should be visited before node12\nnode 20 should be visited before node13\nnode 21 should be visited before node9\nnode 21 should be visited before node19\nnode 21 should be visited before node5\nnode 21 should be visited before node7\nnode 21 should be visited before node14\nnode 21 should be visited before node6\nnode 21 should be visited before node0\nnode 21 should be visited before node13\nnode 22 should be visited before node19\nnode 22 should be visited before node5\nnode 22 should be visited before node7\nnode 22 should be visited before node14\nnode 22 should be visited before node26\nnode 22 should be visited before node16\nnode 22 should be visited before node0\nnode 22 should be visited before node13\nnode 23 should be visited before node19\nnode 23 should be visited before node5\nnode 23 should be visited before node7\nnode 23 should be visited before node4\nnode 23 should be visited before node12\nnode 23 should be visited before node13\nnode 24 should be visited before node8\nnode 24 should be visited before node3\nnode 24 should be visited before node23\nnode 24 should be visited before node15\nnode 24 should be visited before node5\nnode 24 should be visited before node7\nnode 24 should be visited before node14\nnode 24 should be visited before node4\nnode 24 should be visited before node26\nnode 24 should be visited before node16\nnode 24 should be visited before node13\nnode 25 should be visited before node20\nnode 25 should be visited before node8\nnode 25 should be visited before node10\nnode 25 should be visited before node3\nnode 25 should be visited before node21\nnode 25 should be visited before node9\nnode 25 should be visited before node22\nnode 25 should be visited before node17\nnode 25 should be visited before node23\nnode 25 should be visited before node19\nnode 25 should be visited before node5\nnode 25 should be visited before node7\nnode 25 should be visited before node6\nnode 25 should be visited before node16\nnode 25 should be visited before node0\nnode 26 should be visited before node16\nnode 26 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,25,20,24,18,8,3,21,10,9,22,17,23,19,5,15,2,7,14,4,26,11,6,12,16,13,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph594",
        "image": "data/topology/graph_visual/hard/graph594.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node15\nnode 0 should be visited before node10\nnode 0 should be visited before node9\nnode 0 should be visited before node3\nnode 0 should be visited before node25\nnode 0 should be visited before node23\nnode 0 should be visited before node17\nnode 0 should be visited before node1\nnode 0 should be visited before node20\nnode 0 should be visited before node2\nnode 0 should be visited before node16\nnode 1 should be visited before node18\nnode 1 should be visited before node16\nnode 2 should be visited before node18\nnode 2 should be visited before node29\nnode 2 should be visited before node16\nnode 3 should be visited before node25\nnode 3 should be visited before node23\nnode 3 should be visited before node12\nnode 3 should be visited before node11\nnode 3 should be visited before node20\nnode 3 should be visited before node2\nnode 3 should be visited before node29\nnode 3 should be visited before node16\nnode 4 should be visited before node5\nnode 4 should be visited before node11\nnode 4 should be visited before node1\nnode 4 should be visited before node2\nnode 4 should be visited before node18\nnode 5 should be visited before node11\nnode 5 should be visited before node20\nnode 5 should be visited before node26\nnode 5 should be visited before node7\nnode 5 should be visited before node18\nnode 5 should be visited before node16\nnode 6 should be visited before node24\nnode 6 should be visited before node8\nnode 6 should be visited before node0\nnode 6 should be visited before node21\nnode 6 should be visited before node10\nnode 6 should be visited before node13\nnode 6 should be visited before node3\nnode 6 should be visited before node28\nnode 6 should be visited before node12\nnode 6 should be visited before node4\nnode 6 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node11\nnode 6 should be visited before node1\nnode 6 should be visited before node26\nnode 6 should be visited before node7\nnode 6 should be visited before node2\nnode 6 should be visited before node29\nnode 7 should be visited before node2\nnode 7 should be visited before node18\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 8 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node28\nnode 8 should be visited before node14\nnode 8 should be visited before node5\nnode 8 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 8 should be visited before node18\nnode 9 should be visited before node23\nnode 9 should be visited before node28\nnode 9 should be visited before node12\nnode 9 should be visited before node17\nnode 9 should be visited before node5\nnode 9 should be visited before node20\nnode 9 should be visited before node26\nnode 9 should be visited before node29\nnode 10 should be visited before node13\nnode 10 should be visited before node9\nnode 10 should be visited before node3\nnode 10 should be visited before node25\nnode 10 should be visited before node28\nnode 10 should be visited before node12\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node20\nnode 10 should be visited before node29\nnode 11 should be visited before node20\nnode 11 should be visited before node26\nnode 11 should be visited before node2\nnode 11 should be visited before node29\nnode 11 should be visited before node16\nnode 12 should be visited before node4\nnode 12 should be visited before node11\nnode 12 should be visited before node20\nnode 12 should be visited before node26\nnode 12 should be visited before node7\nnode 12 should be visited before node18\nnode 12 should be visited before node29\nnode 13 should be visited before node9\nnode 13 should be visited before node3\nnode 13 should be visited before node28\nnode 13 should be visited before node4\nnode 13 should be visited before node17\nnode 13 should be visited before node5\nnode 13 should be visited before node1\nnode 13 should be visited before node7\nnode 13 should be visited before node2\nnode 13 should be visited before node18\nnode 13 should be visited before node29\nnode 14 should be visited before node20\nnode 14 should be visited before node26\nnode 14 should be visited before node7\nnode 14 should be visited before node18\nnode 14 should be visited before node29\nnode 15 should be visited before node10\nnode 15 should be visited before node9\nnode 15 should be visited before node3\nnode 15 should be visited before node23\nnode 15 should be visited before node28\nnode 15 should be visited before node14\nnode 15 should be visited before node11\nnode 15 should be visited before node1\nnode 15 should be visited before node26\nnode 15 should be visited before node2\nnode 15 should be visited before node18\nnode 15 should be visited before node29\nnode 15 should be visited before node16\nnode 17 should be visited before node5\nnode 17 should be visited before node11\nnode 17 should be visited before node20\nnode 17 should be visited before node7\nnode 17 should be visited before node2\nnode 17 should be visited before node16\nnode 18 should be visited before node16\nnode 19 should be visited before node6\nnode 19 should be visited before node0\nnode 19 should be visited before node15\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 19 should be visited before node25\nnode 19 should be visited before node4\nnode 19 should be visited before node5\nnode 19 should be visited before node1\nnode 19 should be visited before node26\nnode 19 should be visited before node16\nnode 20 should be visited before node2\nnode 20 should be visited before node18\nnode 20 should be visited before node29\nnode 20 should be visited before node16\nnode 21 should be visited before node15\nnode 21 should be visited before node10\nnode 21 should be visited before node9\nnode 21 should be visited before node23\nnode 21 should be visited before node4\nnode 21 should be visited before node17\nnode 21 should be visited before node5\nnode 21 should be visited before node29\nnode 21 should be visited before node16\nnode 22 should be visited before node27\nnode 22 should be visited before node6\nnode 22 should be visited before node24\nnode 22 should be visited before node8\nnode 22 should be visited before node0\nnode 22 should be visited before node21\nnode 22 should be visited before node10\nnode 22 should be visited before node23\nnode 22 should be visited before node14\nnode 22 should be visited before node11\nnode 22 should be visited before node1\nnode 22 should be visited before node26\nnode 22 should be visited before node7\nnode 22 should be visited before node2\nnode 22 should be visited before node18\nnode 22 should be visited before node29\nnode 23 should be visited before node28\nnode 23 should be visited before node12\nnode 23 should be visited before node17\nnode 23 should be visited before node5\nnode 23 should be visited before node1\nnode 23 should be visited before node20\nnode 23 should be visited before node26\nnode 23 should be visited before node7\nnode 23 should be visited before node2\nnode 23 should be visited before node18\nnode 23 should be visited before node29\nnode 24 should be visited before node8\nnode 24 should be visited before node0\nnode 24 should be visited before node21\nnode 24 should be visited before node10\nnode 24 should be visited before node13\nnode 24 should be visited before node9\nnode 24 should be visited before node23\nnode 24 should be visited before node28\nnode 24 should be visited before node12\nnode 24 should be visited before node4\nnode 24 should be visited before node17\nnode 24 should be visited before node14\nnode 24 should be visited before node11\nnode 24 should be visited before node26\nnode 24 should be visited before node18\nnode 24 should be visited before node16\nnode 25 should be visited before node23\nnode 25 should be visited before node5\nnode 25 should be visited before node1\nnode 25 should be visited before node20\nnode 25 should be visited before node2\nnode 25 should be visited before node29\nnode 25 should be visited before node16\nnode 26 should be visited before node7\nnode 27 should be visited before node24\nnode 27 should be visited before node8\nnode 27 should be visited before node0\nnode 27 should be visited before node21\nnode 27 should be visited before node15\nnode 27 should be visited before node10\nnode 27 should be visited before node3\nnode 27 should be visited before node23\nnode 27 should be visited before node12\nnode 27 should be visited before node4\nnode 27 should be visited before node5\nnode 27 should be visited before node2\nnode 27 should be visited before node16\nnode 28 should be visited before node12\nnode 28 should be visited before node17\nnode 28 should be visited before node14\nnode 28 should be visited before node20\nnode 28 should be visited before node29\nnode 29 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,22,27,6,24,8,0,21,15,10,13,9,3,25,23,28,12,17,14,4,5,1,11,20,26,7,2,18,29,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph866",
        "image": "data/topology/graph_visual/hard/graph866.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node20\nnode 0 should be visited before node3\nnode 0 should be visited before node31\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 3 should be visited before node31\nnode 4 should be visited before node28\nnode 4 should be visited before node9\nnode 4 should be visited before node2\nnode 4 should be visited before node14\nnode 4 should be visited before node0\nnode 4 should be visited before node29\nnode 5 should be visited before node17\nnode 5 should be visited before node6\nnode 5 should be visited before node23\nnode 5 should be visited before node16\nnode 5 should be visited before node31\nnode 5 should be visited before node1\nnode 6 should be visited before node29\nnode 6 should be visited before node31\nnode 7 should be visited before node27\nnode 7 should be visited before node12\nnode 7 should be visited before node5\nnode 7 should be visited before node25\nnode 7 should be visited before node29\nnode 7 should be visited before node16\nnode 7 should be visited before node1\nnode 8 should be visited before node29\nnode 9 should be visited before node22\nnode 9 should be visited before node14\nnode 9 should be visited before node20\nnode 9 should be visited before node16\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 10 should be visited before node22\nnode 10 should be visited before node25\nnode 10 should be visited before node14\nnode 10 should be visited before node0\nnode 10 should be visited before node20\nnode 10 should be visited before node6\nnode 10 should be visited before node8\nnode 10 should be visited before node23\nnode 10 should be visited before node19\nnode 10 should be visited before node16\nnode 10 should be visited before node15\nnode 11 should be visited before node28\nnode 11 should be visited before node22\nnode 11 should be visited before node25\nnode 11 should be visited before node14\nnode 11 should be visited before node8\nnode 11 should be visited before node31\nnode 11 should be visited before node1\nnode 12 should be visited before node9\nnode 12 should be visited before node22\nnode 12 should be visited before node18\nnode 12 should be visited before node17\nnode 12 should be visited before node2\nnode 12 should be visited before node14\nnode 12 should be visited before node8\nnode 12 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node18\nnode 13 should be visited before node2\nnode 13 should be visited before node25\nnode 13 should be visited before node0\nnode 13 should be visited before node20\nnode 13 should be visited before node8\nnode 13 should be visited before node23\nnode 13 should be visited before node16\nnode 13 should be visited before node15\nnode 13 should be visited before node3\nnode 13 should be visited before node31\nnode 14 should be visited before node6\nnode 15 should be visited before node3\nnode 16 should be visited before node15\nnode 16 should be visited before node3\nnode 17 should be visited before node14\nnode 17 should be visited before node0\nnode 17 should be visited before node20\nnode 17 should be visited before node6\nnode 17 should be visited before node8\nnode 17 should be visited before node19\nnode 17 should be visited before node16\nnode 17 should be visited before node1\nnode 18 should be visited before node32\nnode 18 should be visited before node2\nnode 18 should be visited before node14\nnode 18 should be visited before node19\nnode 18 should be visited before node3\nnode 18 should be visited before node31\nnode 18 should be visited before node1\nnode 19 should be visited before node16\nnode 19 should be visited before node15\nnode 19 should be visited before node31\nnode 20 should be visited before node6\nnode 20 should be visited before node3\nnode 21 should be visited before node4\nnode 21 should be visited before node7\nnode 21 should be visited before node27\nnode 21 should be visited before node12\nnode 21 should be visited before node22\nnode 21 should be visited before node6\nnode 21 should be visited before node8\nnode 21 should be visited before node29\nnode 21 should be visited before node3\nnode 22 should be visited before node17\nnode 22 should be visited before node0\nnode 22 should be visited before node29\nnode 22 should be visited before node16\nnode 24 should be visited before node22\nnode 24 should be visited before node2\nnode 24 should be visited before node25\nnode 24 should be visited before node8\nnode 24 should be visited before node23\nnode 24 should be visited before node16\nnode 24 should be visited before node15\nnode 24 should be visited before node31\nnode 25 should be visited before node14\nnode 25 should be visited before node6\nnode 25 should be visited before node29\nnode 25 should be visited before node1\nnode 26 should be visited before node11\nnode 26 should be visited before node4\nnode 26 should be visited before node27\nnode 26 should be visited before node18\nnode 26 should be visited before node32\nnode 26 should be visited before node5\nnode 26 should be visited before node14\nnode 26 should be visited before node6\nnode 26 should be visited before node29\nnode 26 should be visited before node15\nnode 27 should be visited before node12\nnode 27 should be visited before node9\nnode 27 should be visited before node5\nnode 27 should be visited before node17\nnode 27 should be visited before node0\nnode 27 should be visited before node15\nnode 28 should be visited before node9\nnode 28 should be visited before node22\nnode 28 should be visited before node16\nnode 29 should be visited before node19\nnode 29 should be visited before node16\nnode 29 should be visited before node31\nnode 30 should be visited before node21\nnode 30 should be visited before node11\nnode 30 should be visited before node7\nnode 30 should be visited before node9\nnode 30 should be visited before node2\nnode 30 should be visited before node6\nnode 30 should be visited before node19\nnode 30 should be visited before node16\nnode 30 should be visited before node3\nnode 30 should be visited before node31\nnode 32 should be visited before node14\nnode 32 should be visited before node0\nnode 32 should be visited before node6\nnode 32 should be visited before node31\nnode 32 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "10,13,24,26,30,21,11,4,7,28,27,25,12,5,9,18,23,22,32,2,17,14,0,8,1,20,6,29,19,16,15,3,31."
            }
        ]
    },
    {
        "id": "topology-hard-graph285",
        "image": "data/topology/graph_visual/hard/graph285.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node14\nnode 0 should be visited before node12\nnode 0 should be visited before node7\nnode 0 should be visited before node25\nnode 1 should be visited before node2\nnode 2 should be visited before node7\nnode 2 should be visited before node25\nnode 3 should be visited before node27\nnode 4 should be visited before node14\nnode 4 should be visited before node12\nnode 4 should be visited before node17\nnode 5 should be visited before node9\nnode 5 should be visited before node8\nnode 5 should be visited before node26\nnode 5 should be visited before node19\nnode 5 should be visited before node4\nnode 5 should be visited before node13\nnode 5 should be visited before node20\nnode 5 should be visited before node3\nnode 5 should be visited before node27\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 8 should be visited before node0\nnode 8 should be visited before node19\nnode 8 should be visited before node20\nnode 8 should be visited before node12\nnode 8 should be visited before node6\nnode 8 should be visited before node7\nnode 8 should be visited before node3\nnode 8 should be visited before node27\nnode 9 should be visited before node10\nnode 9 should be visited before node21\nnode 9 should be visited before node8\nnode 9 should be visited before node0\nnode 9 should be visited before node4\nnode 9 should be visited before node20\nnode 9 should be visited before node6\nnode 9 should be visited before node2\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node27\nnode 10 should be visited before node21\nnode 10 should be visited before node0\nnode 10 should be visited before node4\nnode 10 should be visited before node16\nnode 12 should be visited before node6\nnode 12 should be visited before node7\nnode 12 should be visited before node25\nnode 12 should be visited before node17\nnode 13 should be visited before node2\nnode 13 should be visited before node7\nnode 13 should be visited before node3\nnode 13 should be visited before node17\nnode 14 should be visited before node16\nnode 14 should be visited before node7\nnode 14 should be visited before node3\nnode 15 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node1\nnode 15 should be visited before node11\nnode 16 should be visited before node11\nnode 16 should be visited before node27\nnode 19 should be visited before node4\nnode 19 should be visited before node25\nnode 19 should be visited before node11\nnode 19 should be visited before node3\nnode 19 should be visited before node27\nnode 20 should be visited before node18\nnode 20 should be visited before node14\nnode 20 should be visited before node25\nnode 21 should be visited before node0\nnode 21 should be visited before node26\nnode 21 should be visited before node20\nnode 21 should be visited before node14\nnode 21 should be visited before node12\nnode 21 should be visited before node16\nnode 21 should be visited before node6\nnode 21 should be visited before node2\nnode 21 should be visited before node25\nnode 21 should be visited before node3\nnode 22 should be visited before node21\nnode 22 should be visited before node0\nnode 22 should be visited before node19\nnode 22 should be visited before node20\nnode 22 should be visited before node14\nnode 22 should be visited before node1\nnode 22 should be visited before node7\nnode 22 should be visited before node3\nnode 22 should be visited before node27\nnode 23 should be visited before node21\nnode 23 should be visited before node8\nnode 23 should be visited before node26\nnode 23 should be visited before node4\nnode 23 should be visited before node13\nnode 23 should be visited before node20\nnode 23 should be visited before node18\nnode 23 should be visited before node12\nnode 23 should be visited before node7\nnode 23 should be visited before node3\nnode 23 should be visited before node27\nnode 23 should be visited before node17\nnode 24 should be visited before node0\nnode 24 should be visited before node26\nnode 24 should be visited before node13\nnode 24 should be visited before node12\nnode 25 should be visited before node11\nnode 26 should be visited before node4\nnode 26 should be visited before node14\nnode 26 should be visited before node16\nnode 26 should be visited before node2\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,15,22,23,24,9,1,13,10,8,21,19,0,26,20,4,2,18,14,12,16,6,25,17,7,3,11,27."
            }
        ]
    },
    {
        "id": "topology-hard-graph588",
        "image": "data/topology/graph_visual/hard/graph588.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node11\nnode 0 should be visited before node7\nnode 1 should be visited before node12\nnode 1 should be visited before node24\nnode 1 should be visited before node16\nnode 1 should be visited before node28\nnode 1 should be visited before node2\nnode 1 should be visited before node22\nnode 1 should be visited before node26\nnode 1 should be visited before node19\nnode 1 should be visited before node6\nnode 1 should be visited before node0\nnode 1 should be visited before node15\nnode 2 should be visited before node22\nnode 2 should be visited before node26\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node11\nnode 2 should be visited before node15\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 3 should be visited before node7\nnode 3 should be visited before node15\nnode 4 should be visited before node12\nnode 4 should be visited before node23\nnode 4 should be visited before node26\nnode 4 should be visited before node6\nnode 4 should be visited before node0\nnode 4 should be visited before node11\nnode 4 should be visited before node7\nnode 4 should be visited before node15\nnode 5 should be visited before node27\nnode 5 should be visited before node20\nnode 5 should be visited before node25\nnode 5 should be visited before node13\nnode 5 should be visited before node4\nnode 5 should be visited before node17\nnode 5 should be visited before node24\nnode 5 should be visited before node23\nnode 5 should be visited before node10\nnode 5 should be visited before node28\nnode 5 should be visited before node2\nnode 5 should be visited before node22\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 5 should be visited before node15\nnode 6 should be visited before node0\nnode 6 should be visited before node11\nnode 8 should be visited before node1\nnode 8 should be visited before node18\nnode 8 should be visited before node12\nnode 8 should be visited before node28\nnode 8 should be visited before node22\nnode 8 should be visited before node19\nnode 8 should be visited before node11\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 9 should be visited before node2\nnode 9 should be visited before node22\nnode 9 should be visited before node19\nnode 9 should be visited before node6\nnode 9 should be visited before node0\nnode 9 should be visited before node7\nnode 9 should be visited before node15\nnode 10 should be visited before node28\nnode 10 should be visited before node2\nnode 10 should be visited before node22\nnode 10 should be visited before node3\nnode 10 should be visited before node6\nnode 10 should be visited before node11\nnode 10 should be visited before node7\nnode 11 should be visited before node7\nnode 11 should be visited before node15\nnode 12 should be visited before node24\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node23\nnode 12 should be visited before node26\nnode 12 should be visited before node19\nnode 12 should be visited before node6\nnode 12 should be visited before node0\nnode 13 should be visited before node18\nnode 13 should be visited before node24\nnode 13 should be visited before node16\nnode 13 should be visited before node9\nnode 13 should be visited before node28\nnode 13 should be visited before node2\nnode 13 should be visited before node26\nnode 13 should be visited before node3\nnode 13 should be visited before node11\nnode 13 should be visited before node7\nnode 14 should be visited before node13\nnode 14 should be visited before node17\nnode 14 should be visited before node8\nnode 14 should be visited before node12\nnode 14 should be visited before node24\nnode 14 should be visited before node9\nnode 14 should be visited before node23\nnode 14 should be visited before node28\nnode 14 should be visited before node2\nnode 14 should be visited before node22\nnode 14 should be visited before node19\nnode 14 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node23\nnode 16 should be visited before node28\nnode 16 should be visited before node22\nnode 16 should be visited before node26\nnode 16 should be visited before node19\nnode 16 should be visited before node6\nnode 16 should be visited before node11\nnode 16 should be visited before node15\nnode 17 should be visited before node8\nnode 17 should be visited before node1\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node28\nnode 17 should be visited before node2\nnode 17 should be visited before node26\nnode 17 should be visited before node19\nnode 17 should be visited before node0\nnode 17 should be visited before node11\nnode 17 should be visited before node15\nnode 18 should be visited before node12\nnode 18 should be visited before node24\nnode 18 should be visited before node9\nnode 18 should be visited before node0\nnode 18 should be visited before node7\nnode 19 should be visited before node6\nnode 19 should be visited before node0\nnode 19 should be visited before node11\nnode 19 should be visited before node7\nnode 20 should be visited before node4\nnode 20 should be visited before node18\nnode 20 should be visited before node12\nnode 20 should be visited before node24\nnode 20 should be visited before node23\nnode 20 should be visited before node10\nnode 20 should be visited before node28\nnode 20 should be visited before node2\nnode 20 should be visited before node26\nnode 20 should be visited before node3\nnode 20 should be visited before node6\nnode 20 should be visited before node11\nnode 20 should be visited before node7\nnode 20 should be visited before node15\nnode 21 should be visited before node27\nnode 21 should be visited before node14\nnode 21 should be visited before node13\nnode 21 should be visited before node4\nnode 21 should be visited before node8\nnode 21 should be visited before node1\nnode 21 should be visited before node12\nnode 21 should be visited before node16\nnode 21 should be visited before node23\nnode 21 should be visited before node2\nnode 21 should be visited before node26\nnode 21 should be visited before node19\nnode 21 should be visited before node3\nnode 21 should be visited before node6\nnode 22 should be visited before node6\nnode 22 should be visited before node11\nnode 22 should be visited before node7\nnode 22 should be visited before node15\nnode 23 should be visited before node10\nnode 23 should be visited before node28\nnode 23 should be visited before node2\nnode 23 should be visited before node22\nnode 23 should be visited before node26\nnode 23 should be visited before node19\nnode 23 should be visited before node3\nnode 23 should be visited before node6\nnode 23 should be visited before node0\nnode 23 should be visited before node11\nnode 23 should be visited before node15\nnode 24 should be visited before node9\nnode 24 should be visited before node10\nnode 24 should be visited before node28\nnode 24 should be visited before node22\nnode 24 should be visited before node19\nnode 24 should be visited before node3\nnode 24 should be visited before node6\nnode 25 should be visited before node8\nnode 25 should be visited before node24\nnode 25 should be visited before node23\nnode 25 should be visited before node10\nnode 25 should be visited before node2\nnode 25 should be visited before node22\nnode 25 should be visited before node0\nnode 25 should be visited before node11\nnode 26 should be visited before node3\nnode 26 should be visited before node0\nnode 26 should be visited before node11\nnode 26 should be visited before node7\nnode 26 should be visited before node15\nnode 27 should be visited before node20\nnode 27 should be visited before node4\nnode 27 should be visited before node1\nnode 27 should be visited before node18\nnode 27 should be visited before node12\nnode 27 should be visited before node24\nnode 27 should be visited before node9\nnode 27 should be visited before node23\nnode 27 should be visited before node2\nnode 27 should be visited before node19\nnode 27 should be visited before node6\nnode 27 should be visited before node0\nnode 27 should be visited before node11\nnode 27 should be visited before node7\nnode 27 should be visited before node15\nnode 28 should be visited before node2\nnode 28 should be visited before node22\nnode 28 should be visited before node26\nnode 28 should be visited before node19\nnode 28 should be visited before node3\nnode 28 should be visited before node0\nnode 29 should be visited before node20\nnode 29 should be visited before node25\nnode 29 should be visited before node13\nnode 29 should be visited before node4\nnode 29 should be visited before node17\nnode 29 should be visited before node8\nnode 29 should be visited before node1\nnode 29 should be visited before node18\nnode 29 should be visited before node12\nnode 29 should be visited before node24\nnode 29 should be visited before node16\nnode 29 should be visited before node9\nnode 29 should be visited before node2\nnode 29 should be visited before node22\nnode 29 should be visited before node26\nnode 29 should be visited before node19\nnode 29 should be visited before node0\nnode 29 should be visited before node11\nnode 29 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,21,29,27,14,25,20,13,17,4,8,1,18,12,24,16,9,23,10,28,2,19,22,26,3,6,0,11,7,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph100",
        "image": "data/topology/graph_visual/hard/graph100.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node19\nnode 0 should be visited before node13\nnode 0 should be visited before node25\nnode 0 should be visited before node21\nnode 0 should be visited before node18\nnode 0 should be visited before node17\nnode 0 should be visited before node5\nnode 0 should be visited before node1\nnode 0 should be visited before node2\nnode 0 should be visited before node9\nnode 0 should be visited before node22\nnode 0 should be visited before node4\nnode 0 should be visited before node11\nnode 0 should be visited before node6\nnode 0 should be visited before node15\nnode 0 should be visited before node7\nnode 1 should be visited before node2\nnode 1 should be visited before node9\nnode 1 should be visited before node22\nnode 1 should be visited before node4\nnode 1 should be visited before node14\nnode 1 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node15\nnode 2 should be visited before node4\nnode 2 should be visited before node14\nnode 2 should be visited before node16\nnode 2 should be visited before node8\nnode 2 should be visited before node6\nnode 2 should be visited before node15\nnode 2 should be visited before node7\nnode 3 should be visited before node10\nnode 3 should be visited before node25\nnode 3 should be visited before node17\nnode 3 should be visited before node5\nnode 3 should be visited before node9\nnode 3 should be visited before node4\nnode 3 should be visited before node14\nnode 3 should be visited before node8\nnode 3 should be visited before node7\nnode 5 should be visited before node1\nnode 5 should be visited before node22\nnode 5 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node7\nnode 9 should be visited before node22\nnode 9 should be visited before node4\nnode 9 should be visited before node14\nnode 9 should be visited before node11\nnode 9 should be visited before node16\nnode 9 should be visited before node6\nnode 9 should be visited before node7\nnode 10 should be visited before node25\nnode 10 should be visited before node18\nnode 10 should be visited before node17\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node2\nnode 10 should be visited before node9\nnode 10 should be visited before node22\nnode 10 should be visited before node4\nnode 10 should be visited before node14\nnode 10 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node8\nnode 10 should be visited before node15\nnode 10 should be visited before node7\nnode 11 should be visited before node16\nnode 11 should be visited before node8\nnode 11 should be visited before node6\nnode 11 should be visited before node15\nnode 12 should be visited before node3\nnode 12 should be visited before node21\nnode 12 should be visited before node18\nnode 12 should be visited before node23\nnode 12 should be visited before node5\nnode 12 should be visited before node1\nnode 12 should be visited before node2\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 12 should be visited before node16\nnode 12 should be visited before node7\nnode 13 should be visited before node3\nnode 13 should be visited before node10\nnode 13 should be visited before node25\nnode 13 should be visited before node17\nnode 13 should be visited before node5\nnode 13 should be visited before node1\nnode 13 should be visited before node2\nnode 13 should be visited before node22\nnode 13 should be visited before node4\nnode 13 should be visited before node16\nnode 13 should be visited before node6\nnode 13 should be visited before node15\nnode 14 should be visited before node16\nnode 14 should be visited before node8\nnode 14 should be visited before node15\nnode 16 should be visited before node8\nnode 16 should be visited before node15\nnode 17 should be visited before node23\nnode 17 should be visited before node2\nnode 17 should be visited before node9\nnode 17 should be visited before node4\nnode 17 should be visited before node14\nnode 17 should be visited before node8\nnode 17 should be visited before node6\nnode 17 should be visited before node7\nnode 18 should be visited before node17\nnode 18 should be visited before node1\nnode 18 should be visited before node9\nnode 18 should be visited before node22\nnode 18 should be visited before node11\nnode 18 should be visited before node16\nnode 18 should be visited before node8\nnode 18 should be visited before node15\nnode 19 should be visited before node10\nnode 19 should be visited before node25\nnode 19 should be visited before node21\nnode 19 should be visited before node18\nnode 19 should be visited before node2\nnode 19 should be visited before node9\nnode 19 should be visited before node22\nnode 19 should be visited before node11\nnode 19 should be visited before node16\nnode 19 should be visited before node15\nnode 19 should be visited before node7\nnode 20 should be visited before node12\nnode 20 should be visited before node19\nnode 20 should be visited before node13\nnode 20 should be visited before node25\nnode 20 should be visited before node21\nnode 20 should be visited before node18\nnode 20 should be visited before node23\nnode 20 should be visited before node5\nnode 20 should be visited before node2\nnode 20 should be visited before node14\nnode 20 should be visited before node11\nnode 20 should be visited before node6\nnode 20 should be visited before node15\nnode 20 should be visited before node7\nnode 21 should be visited before node18\nnode 21 should be visited before node23\nnode 21 should be visited before node1\nnode 21 should be visited before node2\nnode 21 should be visited before node22\nnode 21 should be visited before node11\nnode 21 should be visited before node16\nnode 22 should be visited before node4\nnode 22 should be visited before node14\nnode 22 should be visited before node11\nnode 22 should be visited before node6\nnode 22 should be visited before node15\nnode 22 should be visited before node7\nnode 23 should be visited before node5\nnode 23 should be visited before node2\nnode 23 should be visited before node9\nnode 23 should be visited before node11\nnode 23 should be visited before node8\nnode 24 should be visited before node19\nnode 24 should be visited before node3\nnode 24 should be visited before node10\nnode 24 should be visited before node18\nnode 24 should be visited before node17\nnode 24 should be visited before node5\nnode 24 should be visited before node4\nnode 24 should be visited before node14\nnode 24 should be visited before node11\nnode 24 should be visited before node16\nnode 24 should be visited before node6\nnode 24 should be visited before node7\nnode 25 should be visited before node18\nnode 25 should be visited before node17\nnode 25 should be visited before node23\nnode 25 should be visited before node5\nnode 25 should be visited before node1\nnode 25 should be visited before node2\nnode 25 should be visited before node9\nnode 25 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,20,24,12,13,19,3,21,10,25,18,17,23,5,1,2,9,22,4,14,11,16,6,8,15,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph225",
        "image": "data/topology/graph_visual/hard/graph225.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node9\nnode 0 should be visited before node13\nnode 1 should be visited before node22\nnode 1 should be visited before node0\nnode 1 should be visited before node23\nnode 1 should be visited before node5\nnode 1 should be visited before node12\nnode 1 should be visited before node9\nnode 1 should be visited before node13\nnode 2 should be visited before node7\nnode 2 should be visited before node16\nnode 2 should be visited before node25\nnode 2 should be visited before node26\nnode 2 should be visited before node4\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node1\nnode 2 should be visited before node22\nnode 2 should be visited before node0\nnode 2 should be visited before node23\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node17\nnode 3 should be visited before node1\nnode 3 should be visited before node22\nnode 3 should be visited before node20\nnode 3 should be visited before node0\nnode 3 should be visited before node24\nnode 3 should be visited before node23\nnode 3 should be visited before node21\nnode 3 should be visited before node12\nnode 3 should be visited before node13\nnode 4 should be visited before node3\nnode 4 should be visited before node20\nnode 4 should be visited before node0\nnode 4 should be visited before node24\nnode 4 should be visited before node23\nnode 4 should be visited before node5\nnode 4 should be visited before node12\nnode 4 should be visited before node9\nnode 4 should be visited before node17\nnode 4 should be visited before node11\nnode 5 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node9\nnode 5 should be visited before node17\nnode 5 should be visited before node13\nnode 6 should be visited before node26\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node1\nnode 6 should be visited before node22\nnode 6 should be visited before node20\nnode 6 should be visited before node0\nnode 6 should be visited before node24\nnode 6 should be visited before node23\nnode 6 should be visited before node5\nnode 6 should be visited before node9\nnode 6 should be visited before node17\nnode 7 should be visited before node16\nnode 7 should be visited before node6\nnode 7 should be visited before node26\nnode 7 should be visited before node4\nnode 7 should be visited before node1\nnode 7 should be visited before node22\nnode 7 should be visited before node0\nnode 7 should be visited before node24\nnode 7 should be visited before node5\nnode 7 should be visited before node21\nnode 7 should be visited before node12\nnode 7 should be visited before node11\nnode 7 should be visited before node13\nnode 8 should be visited before node3\nnode 8 should be visited before node1\nnode 8 should be visited before node0\nnode 8 should be visited before node24\nnode 8 should be visited before node5\nnode 8 should be visited before node21\nnode 8 should be visited before node17\nnode 8 should be visited before node11\nnode 8 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node11\nnode 9 should be visited before node13\nnode 10 should be visited before node8\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node22\nnode 10 should be visited before node20\nnode 10 should be visited before node0\nnode 10 should be visited before node24\nnode 10 should be visited before node23\nnode 10 should be visited before node5\nnode 10 should be visited before node21\nnode 10 should be visited before node12\nnode 10 should be visited before node9\nnode 11 should be visited before node13\nnode 12 should be visited before node9\nnode 12 should be visited before node17\nnode 12 should be visited before node13\nnode 14 should be visited before node16\nnode 14 should be visited before node25\nnode 14 should be visited before node6\nnode 14 should be visited before node26\nnode 14 should be visited before node20\nnode 14 should be visited before node24\nnode 14 should be visited before node23\nnode 15 should be visited before node19\nnode 15 should be visited before node18\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 15 should be visited before node16\nnode 15 should be visited before node4\nnode 15 should be visited before node8\nnode 15 should be visited before node22\nnode 15 should be visited before node20\nnode 15 should be visited before node24\nnode 15 should be visited before node5\nnode 15 should be visited before node17\nnode 15 should be visited before node11\nnode 15 should be visited before node13\nnode 16 should be visited before node25\nnode 16 should be visited before node6\nnode 16 should be visited before node10\nnode 16 should be visited before node8\nnode 16 should be visited before node20\nnode 16 should be visited before node24\nnode 16 should be visited before node23\nnode 16 should be visited before node5\nnode 16 should be visited before node21\nnode 16 should be visited before node17\nnode 17 should be visited before node13\nnode 18 should be visited before node2\nnode 18 should be visited before node16\nnode 18 should be visited before node25\nnode 18 should be visited before node26\nnode 18 should be visited before node1\nnode 18 should be visited before node22\nnode 18 should be visited before node20\nnode 18 should be visited before node0\nnode 18 should be visited before node24\nnode 18 should be visited before node23\nnode 18 should be visited before node9\nnode 18 should be visited before node17\nnode 18 should be visited before node11\nnode 19 should be visited before node18\nnode 19 should be visited before node2\nnode 19 should be visited before node7\nnode 19 should be visited before node16\nnode 19 should be visited before node25\nnode 19 should be visited before node26\nnode 19 should be visited before node10\nnode 19 should be visited before node8\nnode 19 should be visited before node3\nnode 19 should be visited before node1\nnode 19 should be visited before node22\nnode 19 should be visited before node20\nnode 19 should be visited before node24\nnode 19 should be visited before node5\nnode 19 should be visited before node21\nnode 19 should be visited before node12\nnode 19 should be visited before node9\nnode 19 should be visited before node13\nnode 20 should be visited before node23\nnode 20 should be visited before node5\nnode 20 should be visited before node12\nnode 20 should be visited before node9\nnode 20 should be visited before node17\nnode 20 should be visited before node11\nnode 21 should be visited before node12\nnode 21 should be visited before node9\nnode 21 should be visited before node17\nnode 21 should be visited before node11\nnode 21 should be visited before node13\nnode 22 should be visited before node0\nnode 22 should be visited before node23\nnode 22 should be visited before node21\nnode 22 should be visited before node12\nnode 22 should be visited before node9\nnode 22 should be visited before node13\nnode 23 should be visited before node5\nnode 24 should be visited before node5\nnode 24 should be visited before node12\nnode 25 should be visited before node26\nnode 25 should be visited before node10\nnode 25 should be visited before node3\nnode 25 should be visited before node1\nnode 25 should be visited before node20\nnode 25 should be visited before node0\nnode 25 should be visited before node12\nnode 25 should be visited before node9\nnode 25 should be visited before node11\nnode 26 should be visited before node10\nnode 26 should be visited before node4\nnode 26 should be visited before node1\nnode 26 should be visited before node0\nnode 26 should be visited before node21\nnode 26 should be visited before node12\nnode 26 should be visited before node17\nnode 26 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "15,19,14,18,2,7,16,25,6,26,10,4,8,3,1,20,24,22,0,23,5,21,12,9,17,11,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph971",
        "image": "data/topology/graph_visual/hard/graph971.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node11\nnode 0 should be visited before node15\nnode 0 should be visited before node2\nnode 0 should be visited before node13\nnode 0 should be visited before node14\nnode 0 should be visited before node32\nnode 0 should be visited before node26\nnode 1 should be visited before node9\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 1 should be visited before node14\nnode 1 should be visited before node26\nnode 2 should be visited before node6\nnode 2 should be visited before node14\nnode 2 should be visited before node21\nnode 3 should be visited before node22\nnode 3 should be visited before node16\nnode 3 should be visited before node1\nnode 3 should be visited before node13\nnode 3 should be visited before node32\nnode 3 should be visited before node28\nnode 4 should be visited before node10\nnode 4 should be visited before node22\nnode 4 should be visited before node31\nnode 4 should be visited before node5\nnode 4 should be visited before node15\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node28\nnode 5 should be visited before node12\nnode 5 should be visited before node15\nnode 5 should be visited before node24\nnode 5 should be visited before node2\nnode 5 should be visited before node30\nnode 6 should be visited before node26\nnode 6 should be visited before node28\nnode 7 should be visited before node30\nnode 8 should be visited before node17\nnode 8 should be visited before node6\nnode 8 should be visited before node13\nnode 8 should be visited before node26\nnode 8 should be visited before node28\nnode 9 should be visited before node24\nnode 9 should be visited before node17\nnode 9 should be visited before node6\nnode 10 should be visited before node3\nnode 10 should be visited before node23\nnode 10 should be visited before node5\nnode 10 should be visited before node12\nnode 10 should be visited before node11\nnode 10 should be visited before node8\nnode 10 should be visited before node17\nnode 10 should be visited before node2\nnode 10 should be visited before node13\nnode 10 should be visited before node32\nnode 10 should be visited before node19\nnode 10 should be visited before node21\nnode 11 should be visited before node16\nnode 11 should be visited before node1\nnode 11 should be visited before node20\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node30\nnode 11 should be visited before node28\nnode 12 should be visited before node29\nnode 12 should be visited before node9\nnode 12 should be visited before node28\nnode 13 should be visited before node19\nnode 13 should be visited before node21\nnode 14 should be visited before node32\nnode 14 should be visited before node26\nnode 15 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node2\nnode 16 should be visited before node20\nnode 16 should be visited before node8\nnode 16 should be visited before node17\nnode 16 should be visited before node2\nnode 16 should be visited before node13\nnode 16 should be visited before node26\nnode 16 should be visited before node28\nnode 17 should be visited before node32\nnode 18 should be visited before node22\nnode 18 should be visited before node6\nnode 18 should be visited before node26\nnode 18 should be visited before node21\nnode 20 should be visited before node2\nnode 20 should be visited before node30\nnode 20 should be visited before node19\nnode 20 should be visited before node21\nnode 22 should be visited before node23\nnode 22 should be visited before node5\nnode 22 should be visited before node15\nnode 22 should be visited before node7\nnode 22 should be visited before node6\nnode 22 should be visited before node32\nnode 22 should be visited before node28\nnode 23 should be visited before node5\nnode 23 should be visited before node12\nnode 23 should be visited before node29\nnode 23 should be visited before node11\nnode 23 should be visited before node15\nnode 23 should be visited before node20\nnode 23 should be visited before node9\nnode 23 should be visited before node30\nnode 23 should be visited before node13\nnode 23 should be visited before node14\nnode 23 should be visited before node19\nnode 23 should be visited before node28\nnode 24 should be visited before node26\nnode 25 should be visited before node22\nnode 25 should be visited before node23\nnode 25 should be visited before node29\nnode 25 should be visited before node15\nnode 25 should be visited before node17\nnode 25 should be visited before node32\nnode 25 should be visited before node28\nnode 26 should be visited before node28\nnode 27 should be visited before node0\nnode 27 should be visited before node1\nnode 27 should be visited before node20\nnode 27 should be visited before node8\nnode 27 should be visited before node24\nnode 27 should be visited before node7\nnode 27 should be visited before node30\nnode 27 should be visited before node26\nnode 27 should be visited before node28\nnode 27 should be visited before node21\nnode 29 should be visited before node11\nnode 29 should be visited before node8\nnode 29 should be visited before node7\nnode 29 should be visited before node13\nnode 29 should be visited before node14\nnode 29 should be visited before node26\nnode 29 should be visited before node28\nnode 29 should be visited before node21\nnode 30 should be visited before node6\nnode 30 should be visited before node13\nnode 30 should be visited before node14\nnode 30 should be visited before node32\nnode 30 should be visited before node26\nnode 30 should be visited before node21\nnode 31 should be visited before node5\nnode 31 should be visited before node16\nnode 31 should be visited before node17\nnode 31 should be visited before node32\nnode 32 should be visited before node21\nnode 33 should be visited before node25\nnode 33 should be visited before node22\nnode 33 should be visited before node29\nnode 33 should be visited before node15\nnode 33 should be visited before node1\nnode 33 should be visited before node9\nnode 33 should be visited before node8\nnode 33 should be visited before node2\nnode 33 should be visited before node30\nnode 33 should be visited before node19\nnode 33 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,18,27,33,31,0,25,10,3,22,23,5,12,15,29,11,16,1,20,8,9,7,2,24,17,30,6,13,14,19,32,26,21,28."
            }
        ]
    },
    {
        "id": "topology-hard-graph810",
        "image": "data/topology/graph_visual/hard/graph810.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node10\nnode 0 should be visited before node17\nnode 0 should be visited before node18\nnode 0 should be visited before node19\nnode 1 should be visited before node25\nnode 1 should be visited before node4\nnode 1 should be visited before node0\nnode 1 should be visited before node10\nnode 1 should be visited before node18\nnode 2 should be visited before node12\nnode 2 should be visited before node24\nnode 2 should be visited before node15\nnode 2 should be visited before node3\nnode 2 should be visited before node26\nnode 2 should be visited before node5\nnode 2 should be visited before node20\nnode 2 should be visited before node31\nnode 2 should be visited before node30\nnode 2 should be visited before node9\nnode 2 should be visited before node0\nnode 2 should be visited before node7\nnode 2 should be visited before node19\nnode 3 should be visited before node21\nnode 3 should be visited before node29\nnode 3 should be visited before node14\nnode 3 should be visited before node23\nnode 3 should be visited before node1\nnode 3 should be visited before node25\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node18\nnode 3 should be visited before node19\nnode 4 should be visited before node0\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node18\nnode 4 should be visited before node19\nnode 5 should be visited before node29\nnode 5 should be visited before node6\nnode 5 should be visited before node30\nnode 5 should be visited before node23\nnode 5 should be visited before node9\nnode 5 should be visited before node4\nnode 5 should be visited before node0\nnode 5 should be visited before node7\nnode 6 should be visited before node30\nnode 6 should be visited before node25\nnode 6 should be visited before node22\nnode 6 should be visited before node0\nnode 6 should be visited before node10\nnode 6 should be visited before node7\nnode 6 should be visited before node19\nnode 7 should be visited before node18\nnode 8 should be visited before node11\nnode 8 should be visited before node16\nnode 8 should be visited before node13\nnode 8 should be visited before node15\nnode 8 should be visited before node3\nnode 8 should be visited before node5\nnode 8 should be visited before node29\nnode 8 should be visited before node6\nnode 8 should be visited before node25\nnode 8 should be visited before node10\nnode 8 should be visited before node18\nnode 9 should be visited before node25\nnode 9 should be visited before node22\nnode 9 should be visited before node4\nnode 9 should be visited before node0\nnode 9 should be visited before node10\nnode 9 should be visited before node17\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 11 should be visited before node15\nnode 11 should be visited before node27\nnode 11 should be visited before node3\nnode 11 should be visited before node21\nnode 11 should be visited before node14\nnode 11 should be visited before node31\nnode 11 should be visited before node1\nnode 11 should be visited before node22\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 11 should be visited before node17\nnode 11 should be visited before node19\nnode 12 should be visited before node13\nnode 12 should be visited before node24\nnode 12 should be visited before node27\nnode 12 should be visited before node26\nnode 12 should be visited before node5\nnode 12 should be visited before node14\nnode 12 should be visited before node30\nnode 12 should be visited before node23\nnode 12 should be visited before node1\nnode 12 should be visited before node22\nnode 12 should be visited before node4\nnode 12 should be visited before node17\nnode 12 should be visited before node19\nnode 13 should be visited before node15\nnode 13 should be visited before node3\nnode 13 should be visited before node21\nnode 13 should be visited before node6\nnode 13 should be visited before node30\nnode 13 should be visited before node23\nnode 13 should be visited before node1\nnode 13 should be visited before node9\nnode 13 should be visited before node18\nnode 14 should be visited before node30\nnode 14 should be visited before node1\nnode 14 should be visited before node4\nnode 14 should be visited before node10\nnode 14 should be visited before node17\nnode 14 should be visited before node7\nnode 14 should be visited before node18\nnode 14 should be visited before node19\nnode 15 should be visited before node27\nnode 15 should be visited before node3\nnode 15 should be visited before node5\nnode 15 should be visited before node29\nnode 15 should be visited before node6\nnode 15 should be visited before node31\nnode 15 should be visited before node30\nnode 15 should be visited before node1\nnode 15 should be visited before node4\nnode 15 should be visited before node0\nnode 15 should be visited before node10\nnode 15 should be visited before node17\nnode 15 should be visited before node7\nnode 15 should be visited before node19\nnode 16 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node27\nnode 16 should be visited before node20\nnode 16 should be visited before node14\nnode 16 should be visited before node31\nnode 16 should be visited before node30\nnode 16 should be visited before node1\nnode 16 should be visited before node25\nnode 16 should be visited before node10\nnode 16 should be visited before node17\nnode 17 should be visited before node7\nnode 17 should be visited before node18\nnode 18 should be visited before node19\nnode 20 should be visited before node29\nnode 20 should be visited before node6\nnode 20 should be visited before node30\nnode 20 should be visited before node23\nnode 20 should be visited before node1\nnode 20 should be visited before node9\nnode 20 should be visited before node22\nnode 20 should be visited before node4\nnode 20 should be visited before node0\nnode 20 should be visited before node17\nnode 20 should be visited before node7\nnode 20 should be visited before node19\nnode 21 should be visited before node26\nnode 21 should be visited before node23\nnode 21 should be visited before node22\nnode 21 should be visited before node4\nnode 21 should be visited before node10\nnode 21 should be visited before node7\nnode 21 should be visited before node19\nnode 22 should be visited before node0\nnode 22 should be visited before node10\nnode 22 should be visited before node17\nnode 22 should be visited before node19\nnode 23 should be visited before node9\nnode 23 should be visited before node4\nnode 23 should be visited before node0\nnode 23 should be visited before node10\nnode 23 should be visited before node17\nnode 23 should be visited before node7\nnode 23 should be visited before node19\nnode 24 should be visited before node15\nnode 24 should be visited before node27\nnode 24 should be visited before node3\nnode 24 should be visited before node21\nnode 24 should be visited before node5\nnode 24 should be visited before node20\nnode 24 should be visited before node29\nnode 24 should be visited before node14\nnode 24 should be visited before node31\nnode 24 should be visited before node30\nnode 24 should be visited before node23\nnode 24 should be visited before node1\nnode 24 should be visited before node9\nnode 24 should be visited before node25\nnode 24 should be visited before node22\nnode 24 should be visited before node4\nnode 24 should be visited before node18\nnode 24 should be visited before node19\nnode 25 should be visited before node4\nnode 25 should be visited before node10\nnode 25 should be visited before node17\nnode 25 should be visited before node7\nnode 26 should be visited before node5\nnode 26 should be visited before node20\nnode 26 should be visited before node29\nnode 26 should be visited before node30\nnode 26 should be visited before node23\nnode 26 should be visited before node25\nnode 26 should be visited before node4\nnode 26 should be visited before node10\nnode 27 should be visited before node21\nnode 27 should be visited before node26\nnode 27 should be visited before node29\nnode 27 should be visited before node14\nnode 27 should be visited before node1\nnode 27 should be visited before node9\nnode 27 should be visited before node22\nnode 27 should be visited before node10\nnode 27 should be visited before node18\nnode 27 should be visited before node19\nnode 28 should be visited before node8\nnode 28 should be visited before node2\nnode 28 should be visited before node16\nnode 28 should be visited before node13\nnode 28 should be visited before node15\nnode 28 should be visited before node27\nnode 28 should be visited before node3\nnode 28 should be visited before node26\nnode 28 should be visited before node20\nnode 28 should be visited before node6\nnode 28 should be visited before node14\nnode 28 should be visited before node23\nnode 28 should be visited before node1\nnode 28 should be visited before node25\nnode 28 should be visited before node22\nnode 28 should be visited before node4\nnode 28 should be visited before node0\nnode 28 should be visited before node7\nnode 28 should be visited before node18\nnode 28 should be visited before node19\nnode 29 should be visited before node31\nnode 29 should be visited before node30\nnode 29 should be visited before node23\nnode 29 should be visited before node1\nnode 29 should be visited before node9\nnode 29 should be visited before node4\nnode 29 should be visited before node0\nnode 29 should be visited before node7\nnode 29 should be visited before node18\nnode 29 should be visited before node19\nnode 30 should be visited before node23\nnode 30 should be visited before node1\nnode 30 should be visited before node25\nnode 30 should be visited before node22\nnode 30 should be visited before node4\nnode 30 should be visited before node17\nnode 30 should be visited before node7\nnode 30 should be visited before node18\nnode 30 should be visited before node19\nnode 31 should be visited before node30\nnode 31 should be visited before node23\nnode 31 should be visited before node1\nnode 31 should be visited before node9\nnode 31 should be visited before node25\nnode 31 should be visited before node4\nnode 31 should be visited before node10\nnode 31 should be visited before node17\nnode 31 should be visited before node18\nnode 31 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "28,8,2,11,16,12,13,24,15,27,3,21,14,26,5,20,29,6,31,30,23,1,9,25,22,4,0,10,17,7,18,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph292",
        "image": "data/topology/graph_visual/hard/graph292.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 1 should be visited before node2\nnode 1 should be visited before node17\nnode 1 should be visited before node3\nnode 1 should be visited before node4\nnode 1 should be visited before node15\nnode 2 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node15\nnode 2 should be visited before node0\nnode 3 should be visited before node15\nnode 3 should be visited before node0\nnode 4 should be visited before node27\nnode 5 should be visited before node20\nnode 5 should be visited before node3\nnode 5 should be visited before node8\nnode 5 should be visited before node18\nnode 5 should be visited before node15\nnode 6 should be visited before node12\nnode 6 should be visited before node7\nnode 6 should be visited before node24\nnode 6 should be visited before node1\nnode 6 should be visited before node22\nnode 6 should be visited before node20\nnode 6 should be visited before node18\nnode 6 should be visited before node27\nnode 7 should be visited before node17\nnode 7 should be visited before node11\nnode 7 should be visited before node20\nnode 7 should be visited before node26\nnode 7 should be visited before node8\nnode 7 should be visited before node4\nnode 7 should be visited before node21\nnode 8 should be visited before node27\nnode 9 should be visited before node7\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 10 should be visited before node14\nnode 10 should be visited before node17\nnode 10 should be visited before node21\nnode 11 should be visited before node20\nnode 11 should be visited before node26\nnode 11 should be visited before node8\nnode 11 should be visited before node18\nnode 12 should be visited before node19\nnode 12 should be visited before node9\nnode 12 should be visited before node7\nnode 12 should be visited before node10\nnode 12 should be visited before node17\nnode 12 should be visited before node22\nnode 12 should be visited before node26\nnode 12 should be visited before node18\nnode 12 should be visited before node15\nnode 13 should be visited before node15\nnode 14 should be visited before node17\nnode 14 should be visited before node4\nnode 14 should be visited before node27\nnode 14 should be visited before node25\nnode 15 should be visited before node0\nnode 16 should be visited before node7\nnode 16 should be visited before node14\nnode 16 should be visited before node1\nnode 16 should be visited before node17\nnode 16 should be visited before node22\nnode 16 should be visited before node3\nnode 16 should be visited before node8\nnode 16 should be visited before node21\nnode 16 should be visited before node15\nnode 16 should be visited before node0\nnode 17 should be visited before node3\nnode 17 should be visited before node18\nnode 17 should be visited before node4\nnode 17 should be visited before node27\nnode 17 should be visited before node21\nnode 18 should be visited before node4\nnode 19 should be visited before node9\nnode 19 should be visited before node24\nnode 19 should be visited before node1\nnode 19 should be visited before node20\nnode 19 should be visited before node26\nnode 19 should be visited before node4\nnode 20 should be visited before node4\nnode 20 should be visited before node15\nnode 20 should be visited before node0\nnode 21 should be visited before node15\nnode 21 should be visited before node25\nnode 22 should be visited before node20\nnode 22 should be visited before node26\nnode 22 should be visited before node8\nnode 22 should be visited before node21\nnode 22 should be visited before node15\nnode 23 should be visited before node9\nnode 23 should be visited before node7\nnode 23 should be visited before node14\nnode 23 should be visited before node2\nnode 23 should be visited before node17\nnode 23 should be visited before node11\nnode 23 should be visited before node8\nnode 23 should be visited before node21\nnode 23 should be visited before node0\nnode 24 should be visited before node14\nnode 24 should be visited before node2\nnode 24 should be visited before node17\nnode 24 should be visited before node22\nnode 24 should be visited before node11\nnode 24 should be visited before node20\nnode 24 should be visited before node18\nnode 24 should be visited before node4\nnode 24 should be visited before node25\nnode 26 should be visited before node4\nnode 26 should be visited before node21\nnode 27 should be visited before node21\nnode 27 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,6,13,16,23,12,19,10,9,24,1,7,14,22,2,11,17,20,26,8,3,18,4,27,21,15,25,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph0",
        "image": "data/topology/graph_visual/hard/graph0.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node12\nnode 0 should be visited before node7\nnode 0 should be visited before node11\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node21\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 1 should be visited before node17\nnode 1 should be visited before node16\nnode 1 should be visited before node22\nnode 1 should be visited before node4\nnode 1 should be visited before node20\nnode 1 should be visited before node11\nnode 2 should be visited before node15\nnode 2 should be visited before node24\nnode 2 should be visited before node18\nnode 2 should be visited before node0\nnode 2 should be visited before node12\nnode 2 should be visited before node16\nnode 2 should be visited before node22\nnode 2 should be visited before node3\nnode 5 should be visited before node3\nnode 6 should be visited before node21\nnode 6 should be visited before node13\nnode 6 should be visited before node17\nnode 6 should be visited before node16\nnode 6 should be visited before node14\nnode 6 should be visited before node4\nnode 6 should be visited before node20\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 7 should be visited before node11\nnode 7 should be visited before node3\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node16\nnode 9 should be visited before node13\nnode 9 should be visited before node0\nnode 9 should be visited before node17\nnode 9 should be visited before node22\nnode 9 should be visited before node11\nnode 10 should be visited before node25\nnode 10 should be visited before node7\nnode 10 should be visited before node14\nnode 10 should be visited before node4\nnode 12 should be visited before node14\nnode 12 should be visited before node20\nnode 12 should be visited before node3\nnode 13 should be visited before node25\nnode 13 should be visited before node14\nnode 15 should be visited before node21\nnode 15 should be visited before node7\nnode 15 should be visited before node22\nnode 15 should be visited before node20\nnode 16 should be visited before node7\nnode 16 should be visited before node14\nnode 16 should be visited before node4\nnode 17 should be visited before node16\nnode 18 should be visited before node10\nnode 18 should be visited before node17\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 19 should be visited before node21\nnode 19 should be visited before node13\nnode 19 should be visited before node0\nnode 19 should be visited before node7\nnode 19 should be visited before node22\nnode 19 should be visited before node5\nnode 21 should be visited before node13\nnode 21 should be visited before node8\nnode 21 should be visited before node0\nnode 21 should be visited before node25\nnode 21 should be visited before node7\nnode 21 should be visited before node22\nnode 21 should be visited before node14\nnode 21 should be visited before node4\nnode 21 should be visited before node11\nnode 22 should be visited before node4\nnode 22 should be visited before node5\nnode 22 should be visited before node11\nnode 22 should be visited before node3\nnode 23 should be visited before node8\nnode 23 should be visited before node10\nnode 23 should be visited before node17\nnode 23 should be visited before node22\nnode 23 should be visited before node4\nnode 23 should be visited before node20\nnode 24 should be visited before node23\nnode 24 should be visited before node8\nnode 24 should be visited before node10\nnode 24 should be visited before node16\nnode 24 should be visited before node14\nnode 24 should be visited before node3\nnode 25 should be visited before node16\nnode 25 should be visited before node7\nnode 25 should be visited before node22\nnode 25 should be visited before node14\nnode 25 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,9,19,6,2,15,24,18,21,23,13,8,17,10,0,25,12,16,22,20,7,14,4,5,11,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph819",
        "image": "data/topology/graph_visual/hard/graph819.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 1 should be visited before node15\nnode 1 should be visited before node16\nnode 1 should be visited before node22\nnode 1 should be visited before node27\nnode 1 should be visited before node4\nnode 2 should be visited before node9\nnode 2 should be visited before node26\nnode 2 should be visited before node29\nnode 2 should be visited before node13\nnode 2 should be visited before node24\nnode 2 should be visited before node14\nnode 2 should be visited before node25\nnode 2 should be visited before node20\nnode 2 should be visited before node11\nnode 2 should be visited before node19\nnode 2 should be visited before node15\nnode 2 should be visited before node5\nnode 2 should be visited before node27\nnode 2 should be visited before node21\nnode 2 should be visited before node4\nnode 3 should be visited before node15\nnode 3 should be visited before node16\nnode 3 should be visited before node5\nnode 3 should be visited before node27\nnode 3 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 6 should be visited before node0\nnode 7 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node3\nnode 7 should be visited before node15\nnode 7 should be visited before node22\nnode 7 should be visited before node6\nnode 7 should be visited before node0\nnode 8 should be visited before node12\nnode 8 should be visited before node15\nnode 8 should be visited before node31\nnode 8 should be visited before node16\nnode 8 should be visited before node22\nnode 8 should be visited before node5\nnode 8 should be visited before node27\nnode 8 should be visited before node21\nnode 9 should be visited before node26\nnode 9 should be visited before node29\nnode 9 should be visited before node28\nnode 9 should be visited before node7\nnode 9 should be visited before node17\nnode 9 should be visited before node20\nnode 9 should be visited before node11\nnode 9 should be visited before node30\nnode 9 should be visited before node19\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node31\nnode 9 should be visited before node22\nnode 9 should be visited before node5\nnode 10 should be visited before node14\nnode 10 should be visited before node23\nnode 10 should be visited before node25\nnode 10 should be visited before node7\nnode 10 should be visited before node17\nnode 10 should be visited before node20\nnode 10 should be visited before node11\nnode 10 should be visited before node19\nnode 10 should be visited before node12\nnode 10 should be visited before node3\nnode 10 should be visited before node1\nnode 10 should be visited before node15\nnode 10 should be visited before node16\nnode 10 should be visited before node6\nnode 11 should be visited before node8\nnode 11 should be visited before node3\nnode 11 should be visited before node15\nnode 11 should be visited before node22\nnode 11 should be visited before node5\nnode 11 should be visited before node4\nnode 12 should be visited before node15\nnode 12 should be visited before node31\nnode 12 should be visited before node5\nnode 12 should be visited before node27\nnode 12 should be visited before node4\nnode 13 should be visited before node10\nnode 13 should be visited before node14\nnode 13 should be visited before node23\nnode 13 should be visited before node17\nnode 13 should be visited before node20\nnode 13 should be visited before node11\nnode 13 should be visited before node30\nnode 13 should be visited before node19\nnode 13 should be visited before node8\nnode 13 should be visited before node3\nnode 13 should be visited before node16\nnode 13 should be visited before node22\nnode 13 should be visited before node6\nnode 14 should be visited before node28\nnode 14 should be visited before node7\nnode 14 should be visited before node20\nnode 14 should be visited before node11\nnode 14 should be visited before node8\nnode 14 should be visited before node3\nnode 14 should be visited before node16\nnode 14 should be visited before node0\nnode 14 should be visited before node4\nnode 15 should be visited before node22\nnode 15 should be visited before node5\nnode 15 should be visited before node6\nnode 15 should be visited before node21\nnode 15 should be visited before node0\nnode 16 should be visited before node27\nnode 16 should be visited before node21\nnode 16 should be visited before node4\nnode 17 should be visited before node30\nnode 17 should be visited before node8\nnode 17 should be visited before node12\nnode 17 should be visited before node3\nnode 17 should be visited before node31\nnode 17 should be visited before node22\nnode 17 should be visited before node27\nnode 18 should be visited before node9\nnode 18 should be visited before node26\nnode 18 should be visited before node29\nnode 18 should be visited before node24\nnode 18 should be visited before node23\nnode 18 should be visited before node28\nnode 18 should be visited before node17\nnode 18 should be visited before node11\nnode 18 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node15\nnode 18 should be visited before node16\nnode 18 should be visited before node27\nnode 18 should be visited before node21\nnode 18 should be visited before node0\nnode 18 should be visited before node4\nnode 19 should be visited before node8\nnode 19 should be visited before node12\nnode 19 should be visited before node3\nnode 19 should be visited before node1\nnode 19 should be visited before node15\nnode 19 should be visited before node31\nnode 19 should be visited before node22\nnode 19 should be visited before node6\nnode 19 should be visited before node27\nnode 19 should be visited before node4\nnode 20 should be visited before node3\nnode 20 should be visited before node1\nnode 20 should be visited before node31\nnode 20 should be visited before node22\nnode 20 should be visited before node5\nnode 20 should be visited before node6\nnode 20 should be visited before node0\nnode 20 should be visited before node4\nnode 22 should be visited before node0\nnode 22 should be visited before node4\nnode 23 should be visited before node25\nnode 23 should be visited before node20\nnode 23 should be visited before node30\nnode 23 should be visited before node19\nnode 23 should be visited before node8\nnode 23 should be visited before node12\nnode 23 should be visited before node3\nnode 23 should be visited before node15\nnode 23 should be visited before node31\nnode 23 should be visited before node27\nnode 23 should be visited before node0\nnode 24 should be visited before node14\nnode 24 should be visited before node25\nnode 24 should be visited before node28\nnode 24 should be visited before node30\nnode 24 should be visited before node19\nnode 24 should be visited before node3\nnode 24 should be visited before node15\nnode 24 should be visited before node16\nnode 24 should be visited before node22\nnode 24 should be visited before node27\nnode 24 should be visited before node0\nnode 25 should be visited before node7\nnode 25 should be visited before node11\nnode 25 should be visited before node30\nnode 25 should be visited before node8\nnode 25 should be visited before node3\nnode 25 should be visited before node1\nnode 25 should be visited before node15\nnode 25 should be visited before node16\nnode 25 should be visited before node22\nnode 26 should be visited before node29\nnode 26 should be visited before node24\nnode 26 should be visited before node14\nnode 26 should be visited before node23\nnode 26 should be visited before node28\nnode 26 should be visited before node20\nnode 26 should be visited before node11\nnode 26 should be visited before node12\nnode 26 should be visited before node1\nnode 26 should be visited before node15\nnode 26 should be visited before node22\nnode 26 should be visited before node27\nnode 26 should be visited before node4\nnode 27 should be visited before node0\nnode 27 should be visited before node4\nnode 28 should be visited before node17\nnode 28 should be visited before node20\nnode 28 should be visited before node11\nnode 28 should be visited before node19\nnode 28 should be visited before node8\nnode 28 should be visited before node12\nnode 28 should be visited before node1\nnode 28 should be visited before node15\nnode 28 should be visited before node31\nnode 28 should be visited before node16\nnode 28 should be visited before node22\nnode 28 should be visited before node27\nnode 29 should be visited before node14\nnode 29 should be visited before node23\nnode 29 should be visited before node25\nnode 29 should be visited before node17\nnode 29 should be visited before node20\nnode 29 should be visited before node11\nnode 29 should be visited before node30\nnode 29 should be visited before node19\nnode 29 should be visited before node31\nnode 29 should be visited before node16\nnode 29 should be visited before node5\nnode 29 should be visited before node6\nnode 29 should be visited before node27\nnode 30 should be visited before node19\nnode 30 should be visited before node8\nnode 30 should be visited before node1\nnode 30 should be visited before node15\nnode 30 should be visited before node16\nnode 30 should be visited before node22\nnode 30 should be visited before node6\nnode 30 should be visited before node21\nnode 31 should be visited before node5\nnode 31 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,18,13,9,10,26,29,24,23,14,25,28,7,17,20,11,30,19,8,3,1,12,16,15,31,27,22,21,5,6,4,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph36",
        "image": "data/topology/graph_visual/hard/graph36.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node16\nnode 1 should be visited before node5\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node6\nnode 1 should be visited before node15\nnode 1 should be visited before node16\nnode 1 should be visited before node21\nnode 2 should be visited before node25\nnode 2 should be visited before node4\nnode 2 should be visited before node17\nnode 2 should be visited before node14\nnode 3 should be visited before node23\nnode 3 should be visited before node8\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node17\nnode 4 should be visited before node8\nnode 4 should be visited before node16\nnode 5 should be visited before node12\nnode 5 should be visited before node20\nnode 5 should be visited before node0\nnode 5 should be visited before node19\nnode 5 should be visited before node10\nnode 5 should be visited before node16\nnode 6 should be visited before node0\nnode 6 should be visited before node8\nnode 6 should be visited before node10\nnode 6 should be visited before node16\nnode 7 should be visited before node3\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 8 should be visited before node16\nnode 9 should be visited before node13\nnode 9 should be visited before node24\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 9 should be visited before node15\nnode 9 should be visited before node20\nnode 9 should be visited before node14\nnode 9 should be visited before node21\nnode 11 should be visited before node12\nnode 11 should be visited before node17\nnode 12 should be visited before node3\nnode 12 should be visited before node20\nnode 12 should be visited before node23\nnode 12 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node25\nnode 13 should be visited before node4\nnode 13 should be visited before node11\nnode 13 should be visited before node20\nnode 13 should be visited before node0\nnode 13 should be visited before node21\nnode 14 should be visited before node23\nnode 14 should be visited before node10\nnode 14 should be visited before node21\nnode 15 should be visited before node0\nnode 15 should be visited before node21\nnode 16 should be visited before node21\nnode 17 should be visited before node20\nnode 17 should be visited before node23\nnode 17 should be visited before node10\nnode 18 should be visited before node22\nnode 18 should be visited before node2\nnode 18 should be visited before node6\nnode 18 should be visited before node12\nnode 18 should be visited before node15\nnode 18 should be visited before node20\nnode 19 should be visited before node10\nnode 20 should be visited before node14\nnode 22 should be visited before node1\nnode 22 should be visited before node25\nnode 22 should be visited before node10\nnode 24 should be visited before node7\nnode 24 should be visited before node3\nnode 24 should be visited before node23\nnode 24 should be visited before node19\nnode 25 should be visited before node6\nnode 25 should be visited before node3\nnode 25 should be visited before node23\nnode 25 should be visited before node19\nnode 25 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,18,13,24,22,7,1,5,2,15,25,4,6,19,11,0,12,17,3,20,8,14,16,23,10,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph753",
        "image": "data/topology/graph_visual/hard/graph753.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node15\nnode 0 should be visited before node10\nnode 0 should be visited before node24\nnode 1 should be visited before node25\nnode 1 should be visited before node10\nnode 1 should be visited before node29\nnode 4 should be visited before node7\nnode 4 should be visited before node17\nnode 4 should be visited before node28\nnode 4 should be visited before node30\nnode 4 should be visited before node23\nnode 4 should be visited before node15\nnode 4 should be visited before node20\nnode 4 should be visited before node29\nnode 5 should be visited before node23\nnode 5 should be visited before node26\nnode 5 should be visited before node1\nnode 5 should be visited before node25\nnode 5 should be visited before node0\nnode 5 should be visited before node18\nnode 5 should be visited before node10\nnode 5 should be visited before node3\nnode 5 should be visited before node2\nnode 6 should be visited before node9\nnode 6 should be visited before node22\nnode 6 should be visited before node7\nnode 6 should be visited before node30\nnode 6 should be visited before node8\nnode 6 should be visited before node11\nnode 6 should be visited before node26\nnode 6 should be visited before node18\nnode 6 should be visited before node24\nnode 6 should be visited before node3\nnode 6 should be visited before node29\nnode 7 should be visited before node21\nnode 7 should be visited before node26\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node20\nnode 7 should be visited before node24\nnode 7 should be visited before node3\nnode 7 should be visited before node29\nnode 7 should be visited before node2\nnode 8 should be visited before node31\nnode 8 should be visited before node1\nnode 8 should be visited before node25\nnode 8 should be visited before node0\nnode 8 should be visited before node15\nnode 8 should be visited before node10\nnode 8 should be visited before node24\nnode 8 should be visited before node2\nnode 9 should be visited before node30\nnode 9 should be visited before node8\nnode 9 should be visited before node21\nnode 9 should be visited before node31\nnode 9 should be visited before node23\nnode 9 should be visited before node26\nnode 9 should be visited before node16\nnode 9 should be visited before node20\nnode 9 should be visited before node3\nnode 9 should be visited before node29\nnode 10 should be visited before node24\nnode 10 should be visited before node2\nnode 11 should be visited before node18\nnode 11 should be visited before node24\nnode 11 should be visited before node3\nnode 12 should be visited before node19\nnode 12 should be visited before node21\nnode 12 should be visited before node23\nnode 12 should be visited before node11\nnode 12 should be visited before node10\nnode 13 should be visited before node22\nnode 13 should be visited before node7\nnode 13 should be visited before node5\nnode 13 should be visited before node30\nnode 13 should be visited before node8\nnode 13 should be visited before node21\nnode 13 should be visited before node31\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node3\nnode 13 should be visited before node29\nnode 14 should be visited before node17\nnode 14 should be visited before node12\nnode 14 should be visited before node19\nnode 14 should be visited before node27\nnode 14 should be visited before node23\nnode 14 should be visited before node0\nnode 14 should be visited before node15\nnode 14 should be visited before node18\nnode 14 should be visited before node24\nnode 16 should be visited before node18\nnode 16 should be visited before node3\nnode 17 should be visited before node12\nnode 17 should be visited before node19\nnode 17 should be visited before node30\nnode 17 should be visited before node8\nnode 17 should be visited before node21\nnode 17 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node24\nnode 17 should be visited before node3\nnode 17 should be visited before node29\nnode 18 should be visited before node20\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 18 should be visited before node29\nnode 19 should be visited before node26\nnode 19 should be visited before node25\nnode 19 should be visited before node24\nnode 19 should be visited before node3\nnode 19 should be visited before node29\nnode 20 should be visited before node3\nnode 20 should be visited before node29\nnode 21 should be visited before node1\nnode 21 should be visited before node16\nnode 21 should be visited before node29\nnode 21 should be visited before node2\nnode 22 should be visited before node19\nnode 22 should be visited before node8\nnode 22 should be visited before node26\nnode 22 should be visited before node16\nnode 22 should be visited before node15\nnode 22 should be visited before node29\nnode 22 should be visited before node2\nnode 23 should be visited before node0\nnode 23 should be visited before node20\nnode 23 should be visited before node24\nnode 25 should be visited before node16\nnode 25 should be visited before node15\nnode 25 should be visited before node29\nnode 26 should be visited before node1\nnode 26 should be visited before node16\nnode 26 should be visited before node15\nnode 26 should be visited before node29\nnode 26 should be visited before node2\nnode 27 should be visited before node23\nnode 27 should be visited before node25\nnode 27 should be visited before node18\nnode 27 should be visited before node10\nnode 27 should be visited before node2\nnode 28 should be visited before node12\nnode 28 should be visited before node30\nnode 28 should be visited before node0\nnode 28 should be visited before node15\nnode 30 should be visited before node21\nnode 30 should be visited before node26\nnode 30 should be visited before node1\nnode 30 should be visited before node25\nnode 30 should be visited before node15\nnode 30 should be visited before node18\nnode 30 should be visited before node3\nnode 30 should be visited before node29\nnode 31 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,6,13,14,28,9,22,7,5,17,27,12,30,8,19,23,11,21,31,26,0,1,25,16,15,18,20,10,3,29,24,2."
            }
        ]
    },
    {
        "id": "topology-hard-graph1033",
        "image": "data/topology/graph_visual/hard/graph1033.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node6\nnode 0 should be visited before node22\nnode 0 should be visited before node33\nnode 0 should be visited before node8\nnode 0 should be visited before node19\nnode 0 should be visited before node23\nnode 0 should be visited before node28\nnode 0 should be visited before node17\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node20\nnode 0 should be visited before node14\nnode 0 should be visited before node30\nnode 0 should be visited before node18\nnode 0 should be visited before node13\nnode 0 should be visited before node5\nnode 0 should be visited before node9\nnode 0 should be visited before node12\nnode 0 should be visited before node24\nnode 0 should be visited before node27\nnode 1 should be visited before node20\nnode 1 should be visited before node14\nnode 1 should be visited before node13\nnode 1 should be visited before node4\nnode 1 should be visited before node12\nnode 1 should be visited before node24\nnode 1 should be visited before node15\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node11\nnode 2 should be visited before node30\nnode 2 should be visited before node18\nnode 2 should be visited before node13\nnode 2 should be visited before node4\nnode 3 should be visited before node20\nnode 3 should be visited before node26\nnode 3 should be visited before node5\nnode 3 should be visited before node12\nnode 3 should be visited before node24\nnode 3 should be visited before node15\nnode 4 should be visited before node9\nnode 4 should be visited before node24\nnode 5 should be visited before node15\nnode 6 should be visited before node2\nnode 6 should be visited before node7\nnode 6 should be visited before node28\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node20\nnode 6 should be visited before node30\nnode 6 should be visited before node18\nnode 6 should be visited before node13\nnode 6 should be visited before node4\nnode 6 should be visited before node9\nnode 6 should be visited before node12\nnode 6 should be visited before node24\nnode 6 should be visited before node15\nnode 6 should be visited before node27\nnode 7 should be visited before node23\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node11\nnode 7 should be visited before node14\nnode 7 should be visited before node30\nnode 7 should be visited before node26\nnode 7 should be visited before node18\nnode 7 should be visited before node5\nnode 7 should be visited before node9\nnode 7 should be visited before node15\nnode 7 should be visited before node27\nnode 8 should be visited before node19\nnode 8 should be visited before node28\nnode 8 should be visited before node16\nnode 8 should be visited before node1\nnode 8 should be visited before node11\nnode 8 should be visited before node14\nnode 8 should be visited before node30\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node24\nnode 8 should be visited before node15\nnode 8 should be visited before node27\nnode 9 should be visited before node12\nnode 9 should be visited before node27\nnode 10 should be visited before node3\nnode 10 should be visited before node16\nnode 10 should be visited before node11\nnode 10 should be visited before node14\nnode 10 should be visited before node13\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node15\nnode 10 should be visited before node27\nnode 11 should be visited before node30\nnode 11 should be visited before node9\nnode 11 should be visited before node15\nnode 11 should be visited before node27\nnode 12 should be visited before node27\nnode 13 should be visited before node9\nnode 14 should be visited before node30\nnode 14 should be visited before node18\nnode 14 should be visited before node13\nnode 14 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node24\nnode 14 should be visited before node15\nnode 14 should be visited before node27\nnode 15 should be visited before node27\nnode 16 should be visited before node1\nnode 16 should be visited before node14\nnode 16 should be visited before node30\nnode 16 should be visited before node26\nnode 16 should be visited before node4\nnode 16 should be visited before node12\nnode 16 should be visited before node15\nnode 16 should be visited before node27\nnode 17 should be visited before node10\nnode 17 should be visited before node20\nnode 17 should be visited before node11\nnode 17 should be visited before node30\nnode 17 should be visited before node5\nnode 17 should be visited before node4\nnode 17 should be visited before node12\nnode 17 should be visited before node24\nnode 17 should be visited before node15\nnode 17 should be visited before node27\nnode 18 should be visited before node13\nnode 18 should be visited before node5\nnode 18 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node28\nnode 19 should be visited before node20\nnode 19 should be visited before node14\nnode 19 should be visited before node13\nnode 19 should be visited before node4\nnode 19 should be visited before node15\nnode 20 should be visited before node26\nnode 20 should be visited before node13\nnode 20 should be visited before node5\nnode 20 should be visited before node4\nnode 20 should be visited before node27\nnode 21 should be visited before node6\nnode 21 should be visited before node22\nnode 21 should be visited before node2\nnode 21 should be visited before node7\nnode 21 should be visited before node10\nnode 21 should be visited before node16\nnode 21 should be visited before node11\nnode 21 should be visited before node30\nnode 21 should be visited before node18\nnode 21 should be visited before node13\nnode 21 should be visited before node12\nnode 21 should be visited before node24\nnode 22 should be visited before node8\nnode 22 should be visited before node19\nnode 22 should be visited before node28\nnode 22 should be visited before node17\nnode 22 should be visited before node3\nnode 22 should be visited before node1\nnode 22 should be visited before node20\nnode 22 should be visited before node11\nnode 22 should be visited before node18\nnode 23 should be visited before node28\nnode 23 should be visited before node17\nnode 23 should be visited before node10\nnode 23 should be visited before node14\nnode 23 should be visited before node18\nnode 23 should be visited before node13\nnode 24 should be visited before node15\nnode 24 should be visited before node27\nnode 25 should be visited before node31\nnode 25 should be visited before node6\nnode 25 should be visited before node29\nnode 25 should be visited before node33\nnode 25 should be visited before node2\nnode 25 should be visited before node23\nnode 25 should be visited before node10\nnode 25 should be visited before node1\nnode 25 should be visited before node14\nnode 25 should be visited before node26\nnode 25 should be visited before node13\nnode 25 should be visited before node5\nnode 25 should be visited before node4\nnode 25 should be visited before node12\nnode 25 should be visited before node24\nnode 25 should be visited before node15\nnode 26 should be visited before node13\nnode 26 should be visited before node5\nnode 26 should be visited before node24\nnode 26 should be visited before node15\nnode 26 should be visited before node27\nnode 28 should be visited before node1\nnode 28 should be visited before node20\nnode 28 should be visited before node11\nnode 28 should be visited before node14\nnode 28 should be visited before node26\nnode 28 should be visited before node18\nnode 28 should be visited before node5\nnode 28 should be visited before node27\nnode 29 should be visited before node7\nnode 29 should be visited before node28\nnode 29 should be visited before node10\nnode 29 should be visited before node16\nnode 29 should be visited before node11\nnode 29 should be visited before node14\nnode 29 should be visited before node26\nnode 29 should be visited before node18\nnode 29 should be visited before node13\nnode 29 should be visited before node5\nnode 29 should be visited before node9\nnode 29 should be visited before node12\nnode 29 should be visited before node24\nnode 29 should be visited before node27\nnode 30 should be visited before node13\nnode 30 should be visited before node15\nnode 31 should be visited before node0\nnode 31 should be visited before node2\nnode 31 should be visited before node19\nnode 31 should be visited before node23\nnode 31 should be visited before node28\nnode 31 should be visited before node10\nnode 31 should be visited before node3\nnode 31 should be visited before node16\nnode 31 should be visited before node1\nnode 31 should be visited before node20\nnode 31 should be visited before node26\nnode 31 should be visited before node4\nnode 31 should be visited before node9\nnode 32 should be visited before node29\nnode 32 should be visited before node33\nnode 32 should be visited before node2\nnode 32 should be visited before node8\nnode 32 should be visited before node23\nnode 32 should be visited before node16\nnode 32 should be visited before node20\nnode 32 should be visited before node11\nnode 32 should be visited before node14\nnode 32 should be visited before node30\nnode 32 should be visited before node18\nnode 32 should be visited before node4\nnode 32 should be visited before node9\nnode 32 should be visited before node15\nnode 33 should be visited before node2\nnode 33 should be visited before node8\nnode 33 should be visited before node19\nnode 33 should be visited before node23\nnode 33 should be visited before node28\nnode 33 should be visited before node17\nnode 33 should be visited before node10\nnode 33 should be visited before node3\nnode 33 should be visited before node1\nnode 33 should be visited before node11\nnode 33 should be visited before node18\nnode 33 should be visited before node13\nnode 33 should be visited before node24\nnode 33 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,25,32,31,29,0,6,22,33,2,8,19,7,23,28,17,10,3,16,11,1,20,14,26,30,18,4,13,5,24,9,15,12,27."
            }
        ]
    },
    {
        "id": "topology-hard-graph1032",
        "image": "data/topology/graph_visual/hard/graph1032.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node20\nnode 0 should be visited before node23\nnode 0 should be visited before node16\nnode 0 should be visited before node33\nnode 0 should be visited before node31\nnode 0 should be visited before node28\nnode 1 should be visited before node27\nnode 1 should be visited before node15\nnode 1 should be visited before node19\nnode 1 should be visited before node13\nnode 1 should be visited before node0\nnode 1 should be visited before node20\nnode 1 should be visited before node23\nnode 1 should be visited before node30\nnode 1 should be visited before node25\nnode 1 should be visited before node14\nnode 1 should be visited before node31\nnode 1 should be visited before node11\nnode 2 should be visited before node15\nnode 2 should be visited before node23\nnode 2 should be visited before node25\nnode 2 should be visited before node33\nnode 2 should be visited before node28\nnode 2 should be visited before node11\nnode 2 should be visited before node3\nnode 2 should be visited before node17\nnode 3 should be visited before node17\nnode 4 should be visited before node3\nnode 4 should be visited before node17\nnode 5 should be visited before node12\nnode 5 should be visited before node33\nnode 5 should be visited before node31\nnode 5 should be visited before node28\nnode 5 should be visited before node4\nnode 5 should be visited before node3\nnode 5 should be visited before node17\nnode 6 should be visited before node25\nnode 6 should be visited before node14\nnode 6 should be visited before node28\nnode 6 should be visited before node11\nnode 6 should be visited before node3\nnode 7 should be visited before node29\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 7 should be visited before node22\nnode 7 should be visited before node27\nnode 7 should be visited before node19\nnode 7 should be visited before node21\nnode 7 should be visited before node24\nnode 7 should be visited before node13\nnode 7 should be visited before node6\nnode 7 should be visited before node16\nnode 7 should be visited before node5\nnode 7 should be visited before node25\nnode 7 should be visited before node33\nnode 7 should be visited before node28\nnode 7 should be visited before node4\nnode 7 should be visited before node3\nnode 8 should be visited before node22\nnode 8 should be visited before node27\nnode 8 should be visited before node21\nnode 8 should be visited before node24\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node14\nnode 8 should be visited before node12\nnode 8 should be visited before node33\nnode 8 should be visited before node31\nnode 8 should be visited before node28\nnode 8 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node18\nnode 9 should be visited before node26\nnode 9 should be visited before node29\nnode 9 should be visited before node22\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node21\nnode 9 should be visited before node30\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node5\nnode 9 should be visited before node14\nnode 9 should be visited before node12\nnode 9 should be visited before node33\nnode 9 should be visited before node11\nnode 9 should be visited before node17\nnode 10 should be visited before node29\nnode 10 should be visited before node8\nnode 10 should be visited before node27\nnode 10 should be visited before node15\nnode 10 should be visited before node23\nnode 10 should be visited before node6\nnode 10 should be visited before node16\nnode 10 should be visited before node5\nnode 10 should be visited before node25\nnode 10 should be visited before node31\nnode 11 should be visited before node17\nnode 12 should be visited before node33\nnode 12 should be visited before node4\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 12 should be visited before node17\nnode 13 should be visited before node30\nnode 13 should be visited before node6\nnode 13 should be visited before node16\nnode 13 should be visited before node25\nnode 13 should be visited before node12\nnode 13 should be visited before node28\nnode 13 should be visited before node4\nnode 13 should be visited before node3\nnode 13 should be visited before node17\nnode 14 should be visited before node12\nnode 14 should be visited before node33\nnode 14 should be visited before node28\nnode 14 should be visited before node4\nnode 14 should be visited before node3\nnode 14 should be visited before node17\nnode 15 should be visited before node19\nnode 15 should be visited before node6\nnode 15 should be visited before node16\nnode 15 should be visited before node5\nnode 15 should be visited before node14\nnode 15 should be visited before node12\nnode 15 should be visited before node33\nnode 15 should be visited before node28\nnode 15 should be visited before node11\nnode 15 should be visited before node3\nnode 16 should be visited before node12\nnode 16 should be visited before node33\nnode 16 should be visited before node31\nnode 16 should be visited before node4\nnode 16 should be visited before node11\nnode 16 should be visited before node3\nnode 18 should be visited before node8\nnode 18 should be visited before node1\nnode 18 should be visited before node22\nnode 18 should be visited before node2\nnode 18 should be visited before node19\nnode 18 should be visited before node21\nnode 18 should be visited before node23\nnode 18 should be visited before node6\nnode 18 should be visited before node16\nnode 18 should be visited before node25\nnode 18 should be visited before node14\nnode 18 should be visited before node12\nnode 18 should be visited before node33\nnode 18 should be visited before node31\nnode 18 should be visited before node11\nnode 18 should be visited before node3\nnode 18 should be visited before node17\nnode 19 should be visited before node21\nnode 19 should be visited before node24\nnode 19 should be visited before node30\nnode 19 should be visited before node6\nnode 19 should be visited before node5\nnode 19 should be visited before node14\nnode 19 should be visited before node33\nnode 19 should be visited before node31\nnode 19 should be visited before node11\nnode 19 should be visited before node17\nnode 20 should be visited before node6\nnode 20 should be visited before node16\nnode 20 should be visited before node25\nnode 20 should be visited before node14\nnode 20 should be visited before node12\nnode 20 should be visited before node33\nnode 20 should be visited before node28\nnode 20 should be visited before node11\nnode 20 should be visited before node3\nnode 21 should be visited before node0\nnode 21 should be visited before node20\nnode 21 should be visited before node23\nnode 21 should be visited before node6\nnode 21 should be visited before node5\nnode 21 should be visited before node14\nnode 21 should be visited before node12\nnode 21 should be visited before node28\nnode 21 should be visited before node4\nnode 22 should be visited before node15\nnode 22 should be visited before node19\nnode 22 should be visited before node0\nnode 22 should be visited before node30\nnode 22 should be visited before node6\nnode 22 should be visited before node25\nnode 22 should be visited before node14\nnode 22 should be visited before node33\nnode 22 should be visited before node11\nnode 22 should be visited before node17\nnode 23 should be visited before node16\nnode 23 should be visited before node5\nnode 23 should be visited before node25\nnode 23 should be visited before node14\nnode 23 should be visited before node12\nnode 23 should be visited before node33\nnode 23 should be visited before node11\nnode 23 should be visited before node3\nnode 24 should be visited before node0\nnode 24 should be visited before node23\nnode 24 should be visited before node25\nnode 24 should be visited before node12\nnode 24 should be visited before node33\nnode 24 should be visited before node4\nnode 24 should be visited before node17\nnode 25 should be visited before node14\nnode 25 should be visited before node12\nnode 25 should be visited before node33\nnode 25 should be visited before node31\nnode 25 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node3\nnode 25 should be visited before node17\nnode 26 should be visited before node29\nnode 26 should be visited before node2\nnode 26 should be visited before node19\nnode 26 should be visited before node13\nnode 26 should be visited before node20\nnode 26 should be visited before node30\nnode 26 should be visited before node16\nnode 26 should be visited before node25\nnode 26 should be visited before node14\nnode 26 should be visited before node28\nnode 26 should be visited before node11\nnode 26 should be visited before node3\nnode 27 should be visited before node15\nnode 27 should be visited before node21\nnode 27 should be visited before node13\nnode 27 should be visited before node0\nnode 27 should be visited before node20\nnode 27 should be visited before node23\nnode 27 should be visited before node25\nnode 27 should be visited before node14\nnode 27 should be visited before node33\nnode 27 should be visited before node31\nnode 27 should be visited before node17\nnode 28 should be visited before node4\nnode 28 should be visited before node11\nnode 28 should be visited before node3\nnode 28 should be visited before node17\nnode 29 should be visited before node1\nnode 29 should be visited before node22\nnode 29 should be visited before node2\nnode 29 should be visited before node15\nnode 29 should be visited before node21\nnode 29 should be visited before node24\nnode 29 should be visited before node13\nnode 29 should be visited before node20\nnode 29 should be visited before node30\nnode 29 should be visited before node16\nnode 29 should be visited before node25\nnode 29 should be visited before node33\nnode 29 should be visited before node28\nnode 30 should be visited before node16\nnode 30 should be visited before node5\nnode 30 should be visited before node25\nnode 30 should be visited before node14\nnode 30 should be visited before node31\nnode 30 should be visited before node28\nnode 30 should be visited before node11\nnode 31 should be visited before node28\nnode 31 should be visited before node11\nnode 32 should be visited before node10\nnode 32 should be visited before node9\nnode 32 should be visited before node18\nnode 32 should be visited before node22\nnode 32 should be visited before node2\nnode 32 should be visited before node13\nnode 32 should be visited before node23\nnode 32 should be visited before node30\nnode 32 should be visited before node6\nnode 32 should be visited before node5\nnode 32 should be visited before node4\nnode 32 should be visited before node11\nnode 32 should be visited before node17\nnode 33 should be visited before node31\nnode 33 should be visited before node11\nnode 33 should be visited before node3\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "32,10,9,7,18,26,8,29,1,22,2,27,15,13,19,21,24,30,0,20,23,6,16,5,25,14,12,33,31,28,4,11,3,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph334",
        "image": "data/topology/graph_visual/hard/graph334.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node25\nnode 0 should be visited before node24\nnode 0 should be visited before node23\nnode 0 should be visited before node22\nnode 0 should be visited before node5\nnode 0 should be visited before node21\nnode 0 should be visited before node12\nnode 0 should be visited before node2\nnode 0 should be visited before node27\nnode 1 should be visited before node26\nnode 1 should be visited before node4\nnode 1 should be visited before node2\nnode 1 should be visited before node27\nnode 1 should be visited before node16\nnode 1 should be visited before node15\nnode 2 should be visited before node27\nnode 2 should be visited before node7\nnode 2 should be visited before node15\nnode 3 should be visited before node6\nnode 3 should be visited before node9\nnode 3 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node24\nnode 3 should be visited before node13\nnode 3 should be visited before node22\nnode 3 should be visited before node5\nnode 3 should be visited before node18\nnode 3 should be visited before node12\nnode 3 should be visited before node27\nnode 3 should be visited before node16\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node16\nnode 4 should be visited before node15\nnode 5 should be visited before node19\nnode 5 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node4\nnode 5 should be visited before node2\nnode 5 should be visited before node7\nnode 5 should be visited before node16\nnode 6 should be visited before node17\nnode 6 should be visited before node20\nnode 6 should be visited before node8\nnode 6 should be visited before node14\nnode 6 should be visited before node24\nnode 6 should be visited before node23\nnode 6 should be visited before node10\nnode 6 should be visited before node5\nnode 6 should be visited before node18\nnode 6 should be visited before node1\nnode 6 should be visited before node26\nnode 6 should be visited before node4\nnode 6 should be visited before node27\nnode 6 should be visited before node7\nnode 6 should be visited before node16\nnode 6 should be visited before node15\nnode 7 should be visited before node15\nnode 8 should be visited before node25\nnode 8 should be visited before node24\nnode 8 should be visited before node13\nnode 8 should be visited before node23\nnode 8 should be visited before node10\nnode 8 should be visited before node22\nnode 8 should be visited before node5\nnode 8 should be visited before node19\nnode 8 should be visited before node18\nnode 8 should be visited before node12\nnode 8 should be visited before node1\nnode 8 should be visited before node26\nnode 8 should be visited before node4\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 9 should be visited before node17\nnode 9 should be visited before node0\nnode 9 should be visited before node8\nnode 9 should be visited before node14\nnode 9 should be visited before node12\nnode 9 should be visited before node4\nnode 9 should be visited before node15\nnode 10 should be visited before node5\nnode 10 should be visited before node21\nnode 10 should be visited before node12\nnode 10 should be visited before node1\nnode 10 should be visited before node26\nnode 10 should be visited before node7\nnode 10 should be visited before node16\nnode 10 should be visited before node15\nnode 11 should be visited before node3\nnode 11 should be visited before node6\nnode 11 should be visited before node20\nnode 11 should be visited before node8\nnode 11 should be visited before node14\nnode 11 should be visited before node25\nnode 11 should be visited before node24\nnode 11 should be visited before node13\nnode 11 should be visited before node23\nnode 11 should be visited before node10\nnode 11 should be visited before node18\nnode 11 should be visited before node21\nnode 11 should be visited before node1\nnode 11 should be visited before node26\nnode 11 should be visited before node2\nnode 11 should be visited before node27\nnode 11 should be visited before node16\nnode 12 should be visited before node27\nnode 12 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node15\nnode 13 should be visited before node22\nnode 13 should be visited before node5\nnode 13 should be visited before node19\nnode 13 should be visited before node18\nnode 13 should be visited before node1\nnode 13 should be visited before node26\nnode 13 should be visited before node4\nnode 13 should be visited before node2\nnode 13 should be visited before node27\nnode 13 should be visited before node15\nnode 14 should be visited before node24\nnode 14 should be visited before node13\nnode 14 should be visited before node23\nnode 14 should be visited before node18\nnode 14 should be visited before node12\nnode 14 should be visited before node2\nnode 14 should be visited before node7\nnode 14 should be visited before node16\nnode 16 should be visited before node15\nnode 17 should be visited before node0\nnode 17 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node25\nnode 17 should be visited before node23\nnode 17 should be visited before node22\nnode 17 should be visited before node18\nnode 17 should be visited before node21\nnode 17 should be visited before node12\nnode 17 should be visited before node27\nnode 17 should be visited before node7\nnode 17 should be visited before node16\nnode 18 should be visited before node21\nnode 18 should be visited before node12\nnode 18 should be visited before node16\nnode 19 should be visited before node21\nnode 19 should be visited before node12\nnode 19 should be visited before node1\nnode 19 should be visited before node26\nnode 19 should be visited before node2\nnode 19 should be visited before node27\nnode 19 should be visited before node16\nnode 20 should be visited before node8\nnode 20 should be visited before node14\nnode 20 should be visited before node25\nnode 20 should be visited before node22\nnode 20 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node21\nnode 20 should be visited before node1\nnode 20 should be visited before node26\nnode 20 should be visited before node16\nnode 20 should be visited before node15\nnode 21 should be visited before node12\nnode 21 should be visited before node1\nnode 21 should be visited before node7\nnode 21 should be visited before node15\nnode 22 should be visited before node5\nnode 22 should be visited before node19\nnode 22 should be visited before node18\nnode 22 should be visited before node21\nnode 22 should be visited before node26\nnode 22 should be visited before node2\nnode 22 should be visited before node27\nnode 22 should be visited before node7\nnode 22 should be visited before node16\nnode 23 should be visited before node22\nnode 23 should be visited before node5\nnode 23 should be visited before node19\nnode 23 should be visited before node21\nnode 23 should be visited before node1\nnode 23 should be visited before node2\nnode 23 should be visited before node27\nnode 23 should be visited before node7\nnode 23 should be visited before node16\nnode 24 should be visited before node23\nnode 24 should be visited before node19\nnode 24 should be visited before node12\nnode 24 should be visited before node1\nnode 24 should be visited before node7\nnode 24 should be visited before node16\nnode 25 should be visited before node13\nnode 25 should be visited before node5\nnode 25 should be visited before node19\nnode 25 should be visited before node18\nnode 25 should be visited before node21\nnode 25 should be visited before node27\nnode 25 should be visited before node16\nnode 26 should be visited before node27\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,3,6,9,20,17,0,8,14,25,10,24,13,23,22,5,18,19,21,12,1,26,4,2,16,27,7,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph128",
        "image": "data/topology/graph_visual/hard/graph128.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node18\nnode 0 should be visited before node21\nnode 0 should be visited before node25\nnode 0 should be visited before node11\nnode 0 should be visited before node13\nnode 1 should be visited before node5\nnode 1 should be visited before node11\nnode 1 should be visited before node10\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node25\nnode 2 should be visited before node11\nnode 3 should be visited before node17\nnode 3 should be visited before node11\nnode 4 should be visited before node8\nnode 4 should be visited before node3\nnode 4 should be visited before node0\nnode 4 should be visited before node17\nnode 4 should be visited before node5\nnode 4 should be visited before node13\nnode 5 should be visited before node11\nnode 5 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node3\nnode 6 should be visited before node25\nnode 7 should be visited before node16\nnode 7 should be visited before node6\nnode 7 should be visited before node17\nnode 7 should be visited before node25\nnode 8 should be visited before node3\nnode 8 should be visited before node17\nnode 8 should be visited before node21\nnode 8 should be visited before node25\nnode 9 should be visited before node1\nnode 9 should be visited before node5\nnode 9 should be visited before node13\nnode 12 should be visited before node21\nnode 14 should be visited before node6\nnode 14 should be visited before node9\nnode 14 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node23\nnode 14 should be visited before node17\nnode 14 should be visited before node25\nnode 14 should be visited before node11\nnode 15 should be visited before node2\nnode 15 should be visited before node21\nnode 15 should be visited before node13\nnode 16 should be visited before node20\nnode 16 should be visited before node15\nnode 16 should be visited before node8\nnode 16 should be visited before node0\nnode 16 should be visited before node1\nnode 17 should be visited before node21\nnode 17 should be visited before node25\nnode 17 should be visited before node13\nnode 18 should be visited before node17\nnode 18 should be visited before node21\nnode 18 should be visited before node5\nnode 19 should be visited before node22\nnode 19 should be visited before node15\nnode 19 should be visited before node6\nnode 19 should be visited before node13\nnode 20 should be visited before node22\nnode 20 should be visited before node4\nnode 20 should be visited before node6\nnode 20 should be visited before node1\nnode 20 should be visited before node17\nnode 20 should be visited before node25\nnode 20 should be visited before node5\nnode 20 should be visited before node10\nnode 20 should be visited before node13\nnode 21 should be visited before node13\nnode 22 should be visited before node4\nnode 22 should be visited before node6\nnode 22 should be visited before node1\nnode 22 should be visited before node5\nnode 23 should be visited before node5\nnode 24 should be visited before node26\nnode 24 should be visited before node12\nnode 24 should be visited before node2\nnode 24 should be visited before node14\nnode 24 should be visited before node3\nnode 24 should be visited before node1\nnode 24 should be visited before node5\nnode 24 should be visited before node10\nnode 24 should be visited before node13\nnode 25 should be visited before node11\nnode 25 should be visited before node13\nnode 26 should be visited before node2\nnode 26 should be visited before node0\nnode 26 should be visited before node18\nnode 26 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,19,24,16,26,12,14,20,15,23,22,2,4,6,8,0,9,3,18,1,17,5,21,25,10,11,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph219",
        "image": "data/topology/graph_visual/hard/graph219.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node25\nnode 0 should be visited before node7\nnode 0 should be visited before node16\nnode 0 should be visited before node4\nnode 0 should be visited before node15\nnode 0 should be visited before node19\nnode 0 should be visited before node20\nnode 0 should be visited before node1\nnode 0 should be visited before node17\nnode 0 should be visited before node10\nnode 0 should be visited before node14\nnode 0 should be visited before node9\nnode 1 should be visited before node24\nnode 1 should be visited before node10\nnode 1 should be visited before node9\nnode 2 should be visited before node16\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node21\nnode 2 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node6\nnode 2 should be visited before node20\nnode 2 should be visited before node1\nnode 2 should be visited before node17\nnode 2 should be visited before node10\nnode 2 should be visited before node9\nnode 3 should be visited before node6\nnode 3 should be visited before node18\nnode 3 should be visited before node20\nnode 3 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node14\nnode 3 should be visited before node9\nnode 4 should be visited before node19\nnode 4 should be visited before node8\nnode 4 should be visited before node12\nnode 4 should be visited before node3\nnode 4 should be visited before node18\nnode 4 should be visited before node1\nnode 4 should be visited before node24\nnode 4 should be visited before node22\nnode 4 should be visited before node17\nnode 4 should be visited before node10\nnode 4 should be visited before node14\nnode 5 should be visited before node23\nnode 5 should be visited before node4\nnode 5 should be visited before node15\nnode 5 should be visited before node19\nnode 5 should be visited before node21\nnode 5 should be visited before node8\nnode 5 should be visited before node12\nnode 5 should be visited before node6\nnode 5 should be visited before node20\nnode 5 should be visited before node1\nnode 5 should be visited before node22\nnode 5 should be visited before node17\nnode 6 should be visited before node18\nnode 6 should be visited before node20\nnode 6 should be visited before node1\nnode 6 should be visited before node22\nnode 6 should be visited before node17\nnode 6 should be visited before node10\nnode 7 should be visited before node26\nnode 7 should be visited before node16\nnode 7 should be visited before node5\nnode 7 should be visited before node23\nnode 7 should be visited before node13\nnode 7 should be visited before node4\nnode 7 should be visited before node21\nnode 7 should be visited before node8\nnode 7 should be visited before node12\nnode 7 should be visited before node6\nnode 7 should be visited before node18\nnode 7 should be visited before node22\nnode 8 should be visited before node12\nnode 8 should be visited before node6\nnode 8 should be visited before node20\nnode 8 should be visited before node1\nnode 8 should be visited before node24\nnode 8 should be visited before node17\nnode 8 should be visited before node10\nnode 10 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node16\nnode 11 should be visited before node4\nnode 11 should be visited before node19\nnode 11 should be visited before node12\nnode 11 should be visited before node6\nnode 11 should be visited before node18\nnode 11 should be visited before node20\nnode 11 should be visited before node24\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 12 should be visited before node17\nnode 12 should be visited before node10\nnode 12 should be visited before node14\nnode 13 should be visited before node19\nnode 13 should be visited before node3\nnode 13 should be visited before node20\nnode 13 should be visited before node10\nnode 13 should be visited before node14\nnode 15 should be visited before node19\nnode 15 should be visited before node20\nnode 15 should be visited before node24\nnode 15 should be visited before node22\nnode 15 should be visited before node17\nnode 15 should be visited before node9\nnode 16 should be visited before node5\nnode 16 should be visited before node23\nnode 16 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node19\nnode 16 should be visited before node21\nnode 16 should be visited before node8\nnode 16 should be visited before node12\nnode 16 should be visited before node6\nnode 16 should be visited before node9\nnode 17 should be visited before node10\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 18 should be visited before node20\nnode 18 should be visited before node24\nnode 18 should be visited before node22\nnode 18 should be visited before node17\nnode 18 should be visited before node10\nnode 18 should be visited before node9\nnode 19 should be visited before node12\nnode 19 should be visited before node3\nnode 19 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node24\nnode 19 should be visited before node17\nnode 20 should be visited before node24\nnode 20 should be visited before node22\nnode 20 should be visited before node17\nnode 20 should be visited before node14\nnode 21 should be visited before node12\nnode 21 should be visited before node3\nnode 21 should be visited before node6\nnode 21 should be visited before node24\nnode 21 should be visited before node17\nnode 21 should be visited before node10\nnode 22 should be visited before node14\nnode 23 should be visited before node4\nnode 23 should be visited before node15\nnode 23 should be visited before node19\nnode 23 should be visited before node21\nnode 23 should be visited before node8\nnode 23 should be visited before node3\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 23 should be visited before node10\nnode 23 should be visited before node14\nnode 24 should be visited before node22\nnode 24 should be visited before node17\nnode 24 should be visited before node10\nnode 25 should be visited before node11\nnode 25 should be visited before node5\nnode 25 should be visited before node23\nnode 25 should be visited before node13\nnode 25 should be visited before node21\nnode 25 should be visited before node3\nnode 25 should be visited before node1\nnode 25 should be visited before node22\nnode 25 should be visited before node17\nnode 25 should be visited before node10\nnode 25 should be visited before node14\nnode 25 should be visited before node9\nnode 26 should be visited before node16\nnode 26 should be visited before node5\nnode 26 should be visited before node23\nnode 26 should be visited before node4\nnode 26 should be visited before node19\nnode 26 should be visited before node21\nnode 26 should be visited before node12\nnode 26 should be visited before node3\nnode 26 should be visited before node18\nnode 26 should be visited before node1\nnode 26 should be visited before node17\nnode 26 should be visited before node10\nnode 26 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,2,25,11,7,26,16,5,13,23,4,15,21,8,19,12,3,6,18,1,20,24,22,17,10,14,9."
            }
        ]
    },
    {
        "id": "topology-hard-graph108",
        "image": "data/topology/graph_visual/hard/graph108.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node25\nnode 0 should be visited before node24\nnode 0 should be visited before node6\nnode 0 should be visited before node8\nnode 0 should be visited before node19\nnode 0 should be visited before node15\nnode 1 should be visited before node5\nnode 1 should be visited before node3\nnode 1 should be visited before node14\nnode 1 should be visited before node23\nnode 1 should be visited before node9\nnode 1 should be visited before node0\nnode 1 should be visited before node17\nnode 1 should be visited before node12\nnode 1 should be visited before node6\nnode 1 should be visited before node20\nnode 1 should be visited before node15\nnode 2 should be visited before node13\nnode 2 should be visited before node17\nnode 2 should be visited before node25\nnode 2 should be visited before node21\nnode 2 should be visited before node12\nnode 2 should be visited before node24\nnode 2 should be visited before node6\nnode 2 should be visited before node19\nnode 2 should be visited before node11\nnode 3 should be visited before node14\nnode 3 should be visited before node18\nnode 3 should be visited before node4\nnode 3 should be visited before node21\nnode 3 should be visited before node12\nnode 3 should be visited before node24\nnode 3 should be visited before node19\nnode 3 should be visited before node11\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 4 should be visited before node7\nnode 4 should be visited before node22\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node20\nnode 4 should be visited before node15\nnode 5 should be visited before node14\nnode 5 should be visited before node9\nnode 5 should be visited before node13\nnode 5 should be visited before node25\nnode 5 should be visited before node7\nnode 5 should be visited before node22\nnode 5 should be visited before node12\nnode 5 should be visited before node19\nnode 5 should be visited before node15\nnode 6 should be visited before node19\nnode 7 should be visited before node22\nnode 7 should be visited before node6\nnode 7 should be visited before node19\nnode 7 should be visited before node20\nnode 7 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node11\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 9 should be visited before node17\nnode 9 should be visited before node25\nnode 9 should be visited before node22\nnode 9 should be visited before node12\nnode 9 should be visited before node24\nnode 9 should be visited before node8\nnode 9 should be visited before node19\nnode 9 should be visited before node20\nnode 10 should be visited before node2\nnode 10 should be visited before node25\nnode 10 should be visited before node21\nnode 10 should be visited before node12\nnode 10 should be visited before node6\nnode 10 should be visited before node19\nnode 10 should be visited before node20\nnode 10 should be visited before node15\nnode 12 should be visited before node8\nnode 12 should be visited before node19\nnode 12 should be visited before node20\nnode 12 should be visited before node15\nnode 12 should be visited before node11\nnode 13 should be visited before node0\nnode 13 should be visited before node17\nnode 13 should be visited before node21\nnode 13 should be visited before node7\nnode 13 should be visited before node12\nnode 13 should be visited before node24\nnode 13 should be visited before node6\nnode 13 should be visited before node19\nnode 13 should be visited before node20\nnode 13 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node23\nnode 14 should be visited before node4\nnode 14 should be visited before node13\nnode 14 should be visited before node0\nnode 14 should be visited before node17\nnode 14 should be visited before node21\nnode 14 should be visited before node22\nnode 14 should be visited before node6\nnode 14 should be visited before node20\nnode 14 should be visited before node15\nnode 14 should be visited before node11\nnode 16 should be visited before node1\nnode 16 should be visited before node3\nnode 16 should be visited before node23\nnode 16 should be visited before node4\nnode 16 should be visited before node25\nnode 16 should be visited before node21\nnode 16 should be visited before node7\nnode 16 should be visited before node22\nnode 16 should be visited before node24\nnode 16 should be visited before node6\nnode 16 should be visited before node19\nnode 16 should be visited before node20\nnode 16 should be visited before node15\nnode 17 should be visited before node21\nnode 17 should be visited before node7\nnode 17 should be visited before node22\nnode 17 should be visited before node24\nnode 17 should be visited before node8\nnode 17 should be visited before node15\nnode 18 should be visited before node13\nnode 18 should be visited before node17\nnode 18 should be visited before node21\nnode 18 should be visited before node7\nnode 18 should be visited before node22\nnode 18 should be visited before node6\nnode 18 should be visited before node8\nnode 18 should be visited before node19\nnode 18 should be visited before node11\nnode 19 should be visited before node11\nnode 20 should be visited before node15\nnode 21 should be visited before node24\nnode 21 should be visited before node8\nnode 21 should be visited before node19\nnode 21 should be visited before node20\nnode 22 should be visited before node6\nnode 22 should be visited before node19\nnode 22 should be visited before node20\nnode 23 should be visited before node18\nnode 23 should be visited before node9\nnode 23 should be visited before node4\nnode 23 should be visited before node25\nnode 23 should be visited before node8\nnode 23 should be visited before node20\nnode 23 should be visited before node15\nnode 24 should be visited before node8\nnode 24 should be visited before node19\nnode 24 should be visited before node20\nnode 24 should be visited before node15\nnode 24 should be visited before node11\nnode 25 should be visited before node21\nnode 25 should be visited before node22\nnode 25 should be visited before node12\nnode 25 should be visited before node20\nnode 25 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,1,5,3,14,10,23,2,18,9,4,13,0,17,25,7,21,12,22,24,6,8,19,20,11,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph621",
        "image": "data/topology/graph_visual/hard/graph621.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node24\nnode 0 should be visited before node20\nnode 0 should be visited before node19\nnode 0 should be visited before node27\nnode 0 should be visited before node10\nnode 1 should be visited before node29\nnode 1 should be visited before node14\nnode 1 should be visited before node9\nnode 1 should be visited before node25\nnode 1 should be visited before node16\nnode 1 should be visited before node0\nnode 1 should be visited before node20\nnode 1 should be visited before node18\nnode 1 should be visited before node22\nnode 2 should be visited before node28\nnode 2 should be visited before node18\nnode 3 should be visited before node28\nnode 3 should be visited before node27\nnode 3 should be visited before node10\nnode 4 should be visited before node5\nnode 4 should be visited before node9\nnode 4 should be visited before node3\nnode 5 should be visited before node25\nnode 5 should be visited before node0\nnode 5 should be visited before node19\nnode 6 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node28\nnode 7 should be visited before node6\nnode 7 should be visited before node29\nnode 7 should be visited before node4\nnode 7 should be visited before node14\nnode 7 should be visited before node9\nnode 7 should be visited before node25\nnode 7 should be visited before node16\nnode 7 should be visited before node12\nnode 7 should be visited before node20\nnode 7 should be visited before node19\nnode 7 should be visited before node18\nnode 8 should be visited before node7\nnode 8 should be visited before node29\nnode 8 should be visited before node26\nnode 8 should be visited before node9\nnode 8 should be visited before node25\nnode 8 should be visited before node12\nnode 8 should be visited before node28\nnode 8 should be visited before node27\nnode 8 should be visited before node17\nnode 9 should be visited before node23\nnode 9 should be visited before node3\nnode 9 should be visited before node17\nnode 9 should be visited before node10\nnode 10 should be visited before node22\nnode 11 should be visited before node0\nnode 11 should be visited before node24\nnode 11 should be visited before node20\nnode 11 should be visited before node3\nnode 11 should be visited before node22\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 12 should be visited before node24\nnode 12 should be visited before node2\nnode 12 should be visited before node27\nnode 13 should be visited before node30\nnode 13 should be visited before node15\nnode 13 should be visited before node26\nnode 13 should be visited before node5\nnode 13 should be visited before node16\nnode 13 should be visited before node11\nnode 13 should be visited before node23\nnode 14 should be visited before node9\nnode 14 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node0\nnode 14 should be visited before node23\nnode 14 should be visited before node19\nnode 14 should be visited before node27\nnode 14 should be visited before node17\nnode 14 should be visited before node18\nnode 14 should be visited before node10\nnode 15 should be visited before node5\nnode 15 should be visited before node14\nnode 15 should be visited before node9\nnode 15 should be visited before node25\nnode 15 should be visited before node11\nnode 15 should be visited before node0\nnode 15 should be visited before node23\nnode 15 should be visited before node20\nnode 15 should be visited before node17\nnode 15 should be visited before node10\nnode 16 should be visited before node12\nnode 16 should be visited before node0\nnode 18 should be visited before node10\nnode 19 should be visited before node10\nnode 20 should be visited before node3\nnode 20 should be visited before node27\nnode 21 should be visited before node11\nnode 21 should be visited before node24\nnode 21 should be visited before node28\nnode 21 should be visited before node27\nnode 23 should be visited before node28\nnode 24 should be visited before node19\nnode 24 should be visited before node28\nnode 24 should be visited before node17\nnode 24 should be visited before node10\nnode 25 should be visited before node16\nnode 25 should be visited before node0\nnode 25 should be visited before node19\nnode 25 should be visited before node10\nnode 26 should be visited before node21\nnode 26 should be visited before node9\nnode 26 should be visited before node20\nnode 26 should be visited before node17\nnode 26 should be visited before node18\nnode 27 should be visited before node17\nnode 28 should be visited before node18\nnode 29 should be visited before node21\nnode 29 should be visited before node14\nnode 29 should be visited before node12\nnode 29 should be visited before node11\nnode 29 should be visited before node23\nnode 29 should be visited before node19\nnode 29 should be visited before node27\nnode 29 should be visited before node18\nnode 30 should be visited before node15\nnode 30 should be visited before node4\nnode 30 should be visited before node5\nnode 30 should be visited before node14\nnode 30 should be visited before node12\nnode 30 should be visited before node23\nnode 30 should be visited before node10\nnode 30 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,8,13,7,30,26,6,29,4,15,21,5,14,25,9,16,23,12,11,2,0,24,20,19,3,28,27,18,17,10,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph550",
        "image": "data/topology/graph_visual/hard/graph550.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node8\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 0 should be visited before node4\nnode 0 should be visited before node22\nnode 0 should be visited before node9\nnode 0 should be visited before node12\nnode 0 should be visited before node5\nnode 0 should be visited before node17\nnode 0 should be visited before node21\nnode 0 should be visited before node19\nnode 0 should be visited before node23\nnode 0 should be visited before node18\nnode 1 should be visited before node2\nnode 1 should be visited before node23\nnode 1 should be visited before node20\nnode 1 should be visited before node13\nnode 2 should be visited before node26\nnode 2 should be visited before node18\nnode 3 should be visited before node8\nnode 3 should be visited before node29\nnode 3 should be visited before node6\nnode 3 should be visited before node27\nnode 3 should be visited before node4\nnode 3 should be visited before node22\nnode 3 should be visited before node14\nnode 3 should be visited before node5\nnode 3 should be visited before node10\nnode 3 should be visited before node2\nnode 3 should be visited before node23\nnode 3 should be visited before node26\nnode 3 should be visited before node18\nnode 4 should be visited before node12\nnode 4 should be visited before node16\nnode 4 should be visited before node17\nnode 4 should be visited before node10\nnode 4 should be visited before node21\nnode 4 should be visited before node19\nnode 4 should be visited before node20\nnode 4 should be visited before node26\nnode 4 should be visited before node13\nnode 5 should be visited before node19\nnode 5 should be visited before node13\nnode 6 should be visited before node4\nnode 6 should be visited before node22\nnode 6 should be visited before node12\nnode 6 should be visited before node16\nnode 6 should be visited before node21\nnode 6 should be visited before node1\nnode 6 should be visited before node19\nnode 6 should be visited before node2\nnode 6 should be visited before node20\nnode 6 should be visited before node26\nnode 7 should be visited before node25\nnode 7 should be visited before node15\nnode 7 should be visited before node0\nnode 7 should be visited before node6\nnode 7 should be visited before node27\nnode 7 should be visited before node4\nnode 7 should be visited before node22\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 7 should be visited before node21\nnode 7 should be visited before node19\nnode 7 should be visited before node23\nnode 7 should be visited before node20\nnode 8 should be visited before node29\nnode 8 should be visited before node27\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node16\nnode 8 should be visited before node5\nnode 8 should be visited before node21\nnode 8 should be visited before node1\nnode 8 should be visited before node2\nnode 8 should be visited before node23\nnode 8 should be visited before node20\nnode 8 should be visited before node26\nnode 8 should be visited before node18\nnode 9 should be visited before node12\nnode 9 should be visited before node16\nnode 9 should be visited before node17\nnode 9 should be visited before node10\nnode 9 should be visited before node21\nnode 9 should be visited before node1\nnode 9 should be visited before node20\nnode 9 should be visited before node13\nnode 9 should be visited before node18\nnode 10 should be visited before node19\nnode 10 should be visited before node2\nnode 10 should be visited before node18\nnode 11 should be visited before node27\nnode 11 should be visited before node4\nnode 11 should be visited before node22\nnode 11 should be visited before node12\nnode 11 should be visited before node14\nnode 11 should be visited before node5\nnode 11 should be visited before node17\nnode 11 should be visited before node10\nnode 11 should be visited before node1\nnode 11 should be visited before node19\nnode 11 should be visited before node2\nnode 11 should be visited before node18\nnode 12 should be visited before node14\nnode 12 should be visited before node5\nnode 12 should be visited before node10\nnode 12 should be visited before node21\nnode 12 should be visited before node19\nnode 12 should be visited before node2\nnode 12 should be visited before node20\nnode 12 should be visited before node26\nnode 12 should be visited before node18\nnode 13 should be visited before node18\nnode 14 should be visited before node10\nnode 14 should be visited before node1\nnode 14 should be visited before node2\nnode 14 should be visited before node23\nnode 14 should be visited before node20\nnode 14 should be visited before node26\nnode 14 should be visited before node18\nnode 15 should be visited before node8\nnode 15 should be visited before node29\nnode 15 should be visited before node14\nnode 15 should be visited before node10\nnode 15 should be visited before node1\nnode 15 should be visited before node19\nnode 15 should be visited before node23\nnode 15 should be visited before node18\nnode 16 should be visited before node5\nnode 16 should be visited before node21\nnode 16 should be visited before node1\nnode 16 should be visited before node20\nnode 16 should be visited before node18\nnode 17 should be visited before node21\nnode 17 should be visited before node2\nnode 17 should be visited before node23\nnode 17 should be visited before node26\nnode 19 should be visited before node20\nnode 19 should be visited before node26\nnode 19 should be visited before node13\nnode 19 should be visited before node18\nnode 20 should be visited before node26\nnode 20 should be visited before node18\nnode 21 should be visited before node1\nnode 21 should be visited before node19\nnode 21 should be visited before node26\nnode 22 should be visited before node12\nnode 22 should be visited before node16\nnode 22 should be visited before node17\nnode 22 should be visited before node1\nnode 22 should be visited before node19\nnode 22 should be visited before node20\nnode 22 should be visited before node13\nnode 23 should be visited before node13\nnode 24 should be visited before node15\nnode 24 should be visited before node0\nnode 24 should be visited before node8\nnode 24 should be visited before node29\nnode 24 should be visited before node22\nnode 24 should be visited before node9\nnode 24 should be visited before node12\nnode 24 should be visited before node16\nnode 24 should be visited before node17\nnode 24 should be visited before node10\nnode 24 should be visited before node1\nnode 24 should be visited before node2\nnode 24 should be visited before node20\nnode 24 should be visited before node26\nnode 24 should be visited before node18\nnode 25 should be visited before node15\nnode 25 should be visited before node0\nnode 25 should be visited before node27\nnode 25 should be visited before node4\nnode 25 should be visited before node9\nnode 25 should be visited before node14\nnode 25 should be visited before node17\nnode 25 should be visited before node19\nnode 25 should be visited before node23\nnode 25 should be visited before node20\nnode 25 should be visited before node26\nnode 25 should be visited before node13\nnode 25 should be visited before node18\nnode 27 should be visited before node22\nnode 27 should be visited before node9\nnode 27 should be visited before node12\nnode 27 should be visited before node16\nnode 27 should be visited before node14\nnode 27 should be visited before node10\nnode 27 should be visited before node21\nnode 27 should be visited before node1\nnode 27 should be visited before node20\nnode 27 should be visited before node18\nnode 28 should be visited before node24\nnode 28 should be visited before node25\nnode 28 should be visited before node3\nnode 28 should be visited before node29\nnode 28 should be visited before node6\nnode 28 should be visited before node22\nnode 28 should be visited before node9\nnode 28 should be visited before node12\nnode 28 should be visited before node5\nnode 28 should be visited before node1\nnode 28 should be visited before node2\nnode 28 should be visited before node23\nnode 28 should be visited before node20\nnode 28 should be visited before node26\nnode 28 should be visited before node18\nnode 29 should be visited before node27\nnode 29 should be visited before node22\nnode 29 should be visited before node12\nnode 29 should be visited before node17\nnode 29 should be visited before node10\nnode 29 should be visited before node21\nnode 29 should be visited before node1\nnode 29 should be visited before node20\nnode 29 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,28,24,25,3,15,0,8,6,11,29,4,27,22,9,12,16,17,14,5,21,10,1,19,2,23,20,13,26,18."
            }
        ]
    },
    {
        "id": "topology-hard-graph745",
        "image": "data/topology/graph_visual/hard/graph745.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node8\nnode 0 should be visited before node11\nnode 0 should be visited before node25\nnode 0 should be visited before node28\nnode 0 should be visited before node3\nnode 1 should be visited before node12\nnode 1 should be visited before node31\nnode 1 should be visited before node25\nnode 1 should be visited before node15\nnode 1 should be visited before node28\nnode 1 should be visited before node16\nnode 2 should be visited before node28\nnode 2 should be visited before node3\nnode 4 should be visited before node1\nnode 4 should be visited before node18\nnode 4 should be visited before node30\nnode 4 should be visited before node9\nnode 4 should be visited before node17\nnode 4 should be visited before node25\nnode 5 should be visited before node3\nnode 6 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node9\nnode 6 should be visited before node31\nnode 6 should be visited before node27\nnode 6 should be visited before node13\nnode 6 should be visited before node5\nnode 7 should be visited before node24\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node31\nnode 7 should be visited before node15\nnode 7 should be visited before node27\nnode 7 should be visited before node29\nnode 8 should be visited before node26\nnode 8 should be visited before node22\nnode 8 should be visited before node13\nnode 8 should be visited before node29\nnode 8 should be visited before node3\nnode 9 should be visited before node25\nnode 10 should be visited before node6\nnode 10 should be visited before node1\nnode 10 should be visited before node18\nnode 10 should be visited before node17\nnode 10 should be visited before node21\nnode 10 should be visited before node15\nnode 10 should be visited before node2\nnode 10 should be visited before node28\nnode 11 should be visited before node14\nnode 11 should be visited before node3\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 12 should be visited before node27\nnode 13 should be visited before node29\nnode 15 should be visited before node13\nnode 15 should be visited before node14\nnode 17 should be visited before node22\nnode 17 should be visited before node31\nnode 17 should be visited before node25\nnode 17 should be visited before node2\nnode 17 should be visited before node29\nnode 17 should be visited before node16\nnode 17 should be visited before node14\nnode 18 should be visited before node2\nnode 18 should be visited before node3\nnode 19 should be visited before node8\nnode 19 should be visited before node9\nnode 19 should be visited before node17\nnode 19 should be visited before node11\nnode 19 should be visited before node14\nnode 20 should be visited before node8\nnode 20 should be visited before node26\nnode 20 should be visited before node18\nnode 20 should be visited before node30\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 20 should be visited before node28\nnode 21 should be visited before node22\nnode 21 should be visited before node2\nnode 21 should be visited before node5\nnode 21 should be visited before node3\nnode 22 should be visited before node25\nnode 22 should be visited before node15\nnode 22 should be visited before node27\nnode 22 should be visited before node14\nnode 23 should be visited before node24\nnode 23 should be visited before node20\nnode 23 should be visited before node26\nnode 23 should be visited before node6\nnode 23 should be visited before node1\nnode 23 should be visited before node12\nnode 23 should be visited before node18\nnode 23 should be visited before node30\nnode 23 should be visited before node17\nnode 23 should be visited before node25\nnode 23 should be visited before node15\nnode 23 should be visited before node29\nnode 23 should be visited before node5\nnode 23 should be visited before node14\nnode 23 should be visited before node3\nnode 24 should be visited before node30\nnode 24 should be visited before node31\nnode 24 should be visited before node15\nnode 24 should be visited before node2\nnode 24 should be visited before node3\nnode 25 should be visited before node13\nnode 25 should be visited before node3\nnode 26 should be visited before node6\nnode 26 should be visited before node12\nnode 26 should be visited before node9\nnode 26 should be visited before node21\nnode 26 should be visited before node11\nnode 26 should be visited before node25\nnode 26 should be visited before node13\nnode 26 should be visited before node3\nnode 27 should be visited before node2\nnode 28 should be visited before node3\nnode 29 should be visited before node3\nnode 30 should be visited before node27\nnode 30 should be visited before node28\nnode 30 should be visited before node5\nnode 30 should be visited before node3\nnode 31 should be visited before node25\nnode 31 should be visited before node28\nnode 31 should be visited before node14\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,4,7,10,19,23,24,20,8,18,30,26,6,21,1,9,5,12,17,11,22,31,16,15,27,25,14,2,13,28,29,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph75",
        "image": "data/topology/graph_visual/hard/graph75.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node16\nnode 0 should be visited before node23\nnode 0 should be visited before node10\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node1\nnode 0 should be visited before node14\nnode 0 should be visited before node15\nnode 0 should be visited before node12\nnode 0 should be visited before node6\nnode 0 should be visited before node22\nnode 1 should be visited before node14\nnode 1 should be visited before node24\nnode 1 should be visited before node9\nnode 1 should be visited before node20\nnode 1 should be visited before node19\nnode 1 should be visited before node4\nnode 1 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node22\nnode 2 should be visited before node7\nnode 2 should be visited before node19\nnode 2 should be visited before node18\nnode 2 should be visited before node15\nnode 2 should be visited before node22\nnode 4 should be visited before node25\nnode 4 should be visited before node18\nnode 4 should be visited before node15\nnode 4 should be visited before node12\nnode 4 should be visited before node6\nnode 4 should be visited before node3\nnode 4 should be visited before node22\nnode 5 should be visited before node13\nnode 5 should be visited before node24\nnode 5 should be visited before node7\nnode 5 should be visited before node9\nnode 5 should be visited before node19\nnode 5 should be visited before node25\nnode 5 should be visited before node15\nnode 6 should be visited before node22\nnode 7 should be visited before node9\nnode 7 should be visited before node11\nnode 7 should be visited before node19\nnode 7 should be visited before node25\nnode 7 should be visited before node3\nnode 7 should be visited before node22\nnode 8 should be visited before node11\nnode 8 should be visited before node20\nnode 8 should be visited before node18\nnode 8 should be visited before node15\nnode 9 should be visited before node8\nnode 9 should be visited before node25\nnode 9 should be visited before node18\nnode 10 should be visited before node13\nnode 10 should be visited before node21\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node9\nnode 10 should be visited before node8\nnode 10 should be visited before node11\nnode 10 should be visited before node19\nnode 10 should be visited before node4\nnode 10 should be visited before node12\nnode 11 should be visited before node19\nnode 11 should be visited before node4\nnode 11 should be visited before node12\nnode 11 should be visited before node6\nnode 11 should be visited before node3\nnode 11 should be visited before node22\nnode 12 should be visited before node3\nnode 12 should be visited before node22\nnode 13 should be visited before node21\nnode 13 should be visited before node2\nnode 13 should be visited before node14\nnode 13 should be visited before node11\nnode 13 should be visited before node20\nnode 13 should be visited before node25\nnode 13 should be visited before node18\nnode 13 should be visited before node12\nnode 14 should be visited before node24\nnode 14 should be visited before node7\nnode 14 should be visited before node9\nnode 14 should be visited before node8\nnode 14 should be visited before node11\nnode 14 should be visited before node20\nnode 14 should be visited before node19\nnode 14 should be visited before node4\nnode 14 should be visited before node18\nnode 14 should be visited before node12\nnode 14 should be visited before node6\nnode 14 should be visited before node3\nnode 15 should be visited before node12\nnode 15 should be visited before node3\nnode 16 should be visited before node23\nnode 16 should be visited before node21\nnode 16 should be visited before node14\nnode 16 should be visited before node24\nnode 16 should be visited before node9\nnode 16 should be visited before node8\nnode 16 should be visited before node11\nnode 16 should be visited before node20\nnode 16 should be visited before node19\nnode 16 should be visited before node25\nnode 16 should be visited before node18\nnode 16 should be visited before node15\nnode 16 should be visited before node6\nnode 16 should be visited before node3\nnode 17 should be visited before node16\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node13\nnode 17 should be visited before node21\nnode 17 should be visited before node14\nnode 17 should be visited before node24\nnode 17 should be visited before node8\nnode 17 should be visited before node11\nnode 17 should be visited before node19\nnode 17 should be visited before node4\nnode 17 should be visited before node18\nnode 17 should be visited before node12\nnode 17 should be visited before node22\nnode 18 should be visited before node12\nnode 18 should be visited before node6\nnode 18 should be visited before node22\nnode 19 should be visited before node25\nnode 19 should be visited before node12\nnode 20 should be visited before node4\nnode 20 should be visited before node18\nnode 20 should be visited before node15\nnode 20 should be visited before node22\nnode 21 should be visited before node24\nnode 21 should be visited before node7\nnode 21 should be visited before node9\nnode 21 should be visited before node20\nnode 21 should be visited before node19\nnode 21 should be visited before node25\nnode 21 should be visited before node18\nnode 21 should be visited before node15\nnode 21 should be visited before node12\nnode 21 should be visited before node3\nnode 21 should be visited before node22\nnode 23 should be visited before node5\nnode 23 should be visited before node1\nnode 23 should be visited before node14\nnode 23 should be visited before node24\nnode 23 should be visited before node7\nnode 23 should be visited before node9\nnode 23 should be visited before node8\nnode 23 should be visited before node11\nnode 23 should be visited before node19\nnode 23 should be visited before node4\nnode 23 should be visited before node12\nnode 23 should be visited before node6\nnode 23 should be visited before node3\nnode 23 should be visited before node22\nnode 24 should be visited before node18\nnode 24 should be visited before node6\nnode 24 should be visited before node3\nnode 24 should be visited before node22\nnode 25 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,17,16,10,23,5,1,13,21,2,14,24,7,9,8,11,20,19,4,25,15,18,12,6,3,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph751",
        "image": "data/topology/graph_visual/hard/graph751.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node22\nnode 0 should be visited before node3\nnode 0 should be visited before node25\nnode 0 should be visited before node12\nnode 0 should be visited before node24\nnode 0 should be visited before node11\nnode 1 should be visited before node12\nnode 2 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node17\nnode 2 should be visited before node1\nnode 2 should be visited before node12\nnode 3 should be visited before node26\nnode 3 should be visited before node8\nnode 3 should be visited before node6\nnode 3 should be visited before node30\nnode 3 should be visited before node13\nnode 3 should be visited before node19\nnode 3 should be visited before node5\nnode 3 should be visited before node17\nnode 3 should be visited before node1\nnode 4 should be visited before node16\nnode 4 should be visited before node22\nnode 4 should be visited before node3\nnode 4 should be visited before node26\nnode 4 should be visited before node6\nnode 4 should be visited before node30\nnode 4 should be visited before node19\nnode 4 should be visited before node17\nnode 4 should be visited before node1\nnode 5 should be visited before node7\nnode 5 should be visited before node25\nnode 5 should be visited before node9\nnode 5 should be visited before node1\nnode 5 should be visited before node12\nnode 6 should be visited before node30\nnode 6 should be visited before node5\nnode 6 should be visited before node7\nnode 6 should be visited before node10\nnode 6 should be visited before node17\nnode 6 should be visited before node24\nnode 7 should be visited before node18\nnode 7 should be visited before node17\nnode 8 should be visited before node30\nnode 8 should be visited before node5\nnode 8 should be visited before node12\nnode 8 should be visited before node24\nnode 9 should be visited before node1\nnode 9 should be visited before node12\nnode 9 should be visited before node24\nnode 10 should be visited before node17\nnode 10 should be visited before node1\nnode 10 should be visited before node12\nnode 12 should be visited before node24\nnode 12 should be visited before node11\nnode 13 should be visited before node19\nnode 13 should be visited before node5\nnode 13 should be visited before node9\nnode 13 should be visited before node17\nnode 14 should be visited before node15\nnode 14 should be visited before node20\nnode 14 should be visited before node4\nnode 14 should be visited before node22\nnode 14 should be visited before node8\nnode 14 should be visited before node7\nnode 14 should be visited before node12\nnode 15 should be visited before node0\nnode 15 should be visited before node26\nnode 15 should be visited before node5\nnode 15 should be visited before node10\nnode 15 should be visited before node17\nnode 15 should be visited before node24\nnode 16 should be visited before node29\nnode 16 should be visited before node5\nnode 16 should be visited before node18\nnode 17 should be visited before node11\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 19 should be visited before node5\nnode 19 should be visited before node10\nnode 19 should be visited before node9\nnode 19 should be visited before node12\nnode 20 should be visited before node1\nnode 20 should be visited before node12\nnode 20 should be visited before node24\nnode 21 should be visited before node14\nnode 21 should be visited before node20\nnode 21 should be visited before node6\nnode 21 should be visited before node30\nnode 21 should be visited before node13\nnode 22 should be visited before node3\nnode 22 should be visited before node26\nnode 22 should be visited before node8\nnode 22 should be visited before node13\nnode 22 should be visited before node17\nnode 22 should be visited before node24\nnode 23 should be visited before node27\nnode 23 should be visited before node6\nnode 23 should be visited before node30\nnode 23 should be visited before node29\nnode 23 should be visited before node5\nnode 23 should be visited before node18\nnode 23 should be visited before node17\nnode 23 should be visited before node11\nnode 25 should be visited before node18\nnode 25 should be visited before node24\nnode 26 should be visited before node6\nnode 26 should be visited before node29\nnode 26 should be visited before node25\nnode 26 should be visited before node9\nnode 26 should be visited before node18\nnode 26 should be visited before node12\nnode 27 should be visited before node15\nnode 27 should be visited before node20\nnode 27 should be visited before node22\nnode 27 should be visited before node29\nnode 27 should be visited before node25\nnode 27 should be visited before node1\nnode 28 should be visited before node31\nnode 28 should be visited before node14\nnode 28 should be visited before node15\nnode 28 should be visited before node20\nnode 28 should be visited before node3\nnode 28 should be visited before node6\nnode 28 should be visited before node13\nnode 28 should be visited before node19\nnode 28 should be visited before node5\nnode 28 should be visited before node17\nnode 28 should be visited before node1\nnode 28 should be visited before node24\nnode 28 should be visited before node11\nnode 29 should be visited before node19\nnode 29 should be visited before node12\nnode 29 should be visited before node11\nnode 30 should be visited before node29\nnode 30 should be visited before node5\nnode 30 should be visited before node12\nnode 31 should be visited before node27\nnode 31 should be visited before node14\nnode 31 should be visited before node2\nnode 31 should be visited before node10\nnode 31 should be visited before node24\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "21,23,28,31,27,14,2,15,20,4,0,16,22,3,26,8,13,6,30,29,19,5,10,7,25,9,18,1,17,12,24,11."
            }
        ]
    },
    {
        "id": "topology-hard-graph925",
        "image": "data/topology/graph_visual/hard/graph925.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node6\nnode 0 should be visited before node29\nnode 0 should be visited before node12\nnode 0 should be visited before node11\nnode 0 should be visited before node7\nnode 0 should be visited before node30\nnode 0 should be visited before node23\nnode 1 should be visited before node14\nnode 1 should be visited before node32\nnode 1 should be visited before node0\nnode 1 should be visited before node6\nnode 1 should be visited before node29\nnode 1 should be visited before node28\nnode 1 should be visited before node27\nnode 1 should be visited before node30\nnode 1 should be visited before node25\nnode 1 should be visited before node4\nnode 2 should be visited before node10\nnode 2 should be visited before node3\nnode 2 should be visited before node26\nnode 2 should be visited before node1\nnode 2 should be visited before node32\nnode 2 should be visited before node0\nnode 2 should be visited before node21\nnode 2 should be visited before node29\nnode 2 should be visited before node28\nnode 2 should be visited before node12\nnode 2 should be visited before node7\nnode 2 should be visited before node19\nnode 2 should be visited before node25\nnode 2 should be visited before node4\nnode 2 should be visited before node23\nnode 2 should be visited before node17\nnode 3 should be visited before node20\nnode 3 should be visited before node5\nnode 3 should be visited before node1\nnode 3 should be visited before node32\nnode 3 should be visited before node21\nnode 3 should be visited before node6\nnode 3 should be visited before node29\nnode 3 should be visited before node28\nnode 3 should be visited before node11\nnode 3 should be visited before node19\nnode 4 should be visited before node17\nnode 5 should be visited before node1\nnode 5 should be visited before node14\nnode 5 should be visited before node32\nnode 5 should be visited before node0\nnode 5 should be visited before node21\nnode 5 should be visited before node6\nnode 5 should be visited before node28\nnode 5 should be visited before node22\nnode 5 should be visited before node27\nnode 5 should be visited before node7\nnode 5 should be visited before node25\nnode 5 should be visited before node23\nnode 5 should be visited before node17\nnode 6 should be visited before node12\nnode 6 should be visited before node27\nnode 6 should be visited before node11\nnode 6 should be visited before node7\nnode 6 should be visited before node19\nnode 6 should be visited before node25\nnode 6 should be visited before node17\nnode 7 should be visited before node30\nnode 7 should be visited before node19\nnode 7 should be visited before node25\nnode 7 should be visited before node4\nnode 8 should be visited before node24\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node14\nnode 8 should be visited before node21\nnode 8 should be visited before node6\nnode 8 should be visited before node29\nnode 8 should be visited before node22\nnode 8 should be visited before node11\nnode 8 should be visited before node30\nnode 8 should be visited before node19\nnode 8 should be visited before node25\nnode 8 should be visited before node23\nnode 8 should be visited before node17\nnode 9 should be visited before node16\nnode 9 should be visited before node10\nnode 9 should be visited before node3\nnode 9 should be visited before node31\nnode 9 should be visited before node20\nnode 9 should be visited before node8\nnode 9 should be visited before node26\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 9 should be visited before node14\nnode 9 should be visited before node21\nnode 9 should be visited before node6\nnode 9 should be visited before node29\nnode 9 should be visited before node22\nnode 9 should be visited before node27\nnode 9 should be visited before node11\nnode 9 should be visited before node7\nnode 9 should be visited before node25\nnode 9 should be visited before node4\nnode 10 should be visited before node3\nnode 10 should be visited before node20\nnode 10 should be visited before node8\nnode 10 should be visited before node14\nnode 10 should be visited before node32\nnode 10 should be visited before node0\nnode 10 should be visited before node29\nnode 10 should be visited before node28\nnode 10 should be visited before node22\nnode 10 should be visited before node19\nnode 10 should be visited before node4\nnode 10 should be visited before node17\nnode 11 should be visited before node7\nnode 11 should be visited before node30\nnode 11 should be visited before node4\nnode 11 should be visited before node23\nnode 11 should be visited before node17\nnode 12 should be visited before node22\nnode 12 should be visited before node27\nnode 12 should be visited before node7\nnode 12 should be visited before node25\nnode 12 should be visited before node4\nnode 12 should be visited before node17\nnode 13 should be visited before node16\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 13 should be visited before node20\nnode 13 should be visited before node1\nnode 13 should be visited before node14\nnode 13 should be visited before node32\nnode 13 should be visited before node0\nnode 13 should be visited before node21\nnode 13 should be visited before node6\nnode 13 should be visited before node29\nnode 13 should be visited before node22\nnode 13 should be visited before node19\nnode 13 should be visited before node4\nnode 13 should be visited before node17\nnode 14 should be visited before node32\nnode 14 should be visited before node0\nnode 14 should be visited before node21\nnode 14 should be visited before node6\nnode 14 should be visited before node29\nnode 14 should be visited before node28\nnode 14 should be visited before node12\nnode 14 should be visited before node11\nnode 14 should be visited before node30\nnode 14 should be visited before node19\nnode 14 should be visited before node25\nnode 14 should be visited before node17\nnode 15 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node24\nnode 15 should be visited before node26\nnode 15 should be visited before node0\nnode 15 should be visited before node6\nnode 15 should be visited before node12\nnode 15 should be visited before node22\nnode 15 should be visited before node27\nnode 15 should be visited before node19\nnode 15 should be visited before node4\nnode 15 should be visited before node23\nnode 15 should be visited before node17\nnode 16 should be visited before node15\nnode 16 should be visited before node31\nnode 16 should be visited before node20\nnode 16 should be visited before node8\nnode 16 should be visited before node1\nnode 16 should be visited before node0\nnode 16 should be visited before node21\nnode 16 should be visited before node28\nnode 16 should be visited before node12\nnode 16 should be visited before node27\nnode 16 should be visited before node17\nnode 18 should be visited before node2\nnode 18 should be visited before node15\nnode 18 should be visited before node10\nnode 18 should be visited before node31\nnode 18 should be visited before node20\nnode 18 should be visited before node24\nnode 18 should be visited before node5\nnode 18 should be visited before node14\nnode 18 should be visited before node0\nnode 18 should be visited before node21\nnode 18 should be visited before node29\nnode 18 should be visited before node12\nnode 18 should be visited before node22\nnode 18 should be visited before node27\nnode 18 should be visited before node11\nnode 18 should be visited before node30\nnode 18 should be visited before node4\nnode 19 should be visited before node23\nnode 20 should be visited before node26\nnode 20 should be visited before node14\nnode 20 should be visited before node32\nnode 20 should be visited before node0\nnode 20 should be visited before node28\nnode 20 should be visited before node12\nnode 20 should be visited before node22\nnode 20 should be visited before node7\nnode 20 should be visited before node19\nnode 20 should be visited before node4\nnode 20 should be visited before node23\nnode 20 should be visited before node17\nnode 21 should be visited before node12\nnode 21 should be visited before node22\nnode 21 should be visited before node7\nnode 21 should be visited before node19\nnode 21 should be visited before node25\nnode 21 should be visited before node4\nnode 22 should be visited before node11\nnode 22 should be visited before node19\nnode 22 should be visited before node23\nnode 22 should be visited before node17\nnode 23 should be visited before node17\nnode 24 should be visited before node21\nnode 24 should be visited before node28\nnode 24 should be visited before node12\nnode 24 should be visited before node22\nnode 24 should be visited before node7\nnode 24 should be visited before node19\nnode 24 should be visited before node4\nnode 24 should be visited before node23\nnode 25 should be visited before node23\nnode 26 should be visited before node5\nnode 26 should be visited before node14\nnode 26 should be visited before node21\nnode 26 should be visited before node28\nnode 26 should be visited before node22\nnode 26 should be visited before node11\nnode 26 should be visited before node7\nnode 26 should be visited before node30\nnode 26 should be visited before node19\nnode 26 should be visited before node25\nnode 26 should be visited before node4\nnode 26 should be visited before node23\nnode 26 should be visited before node17\nnode 27 should be visited before node17\nnode 28 should be visited before node22\nnode 28 should be visited before node7\nnode 28 should be visited before node19\nnode 28 should be visited before node25\nnode 28 should be visited before node4\nnode 29 should be visited before node28\nnode 29 should be visited before node27\nnode 29 should be visited before node11\nnode 29 should be visited before node4\nnode 29 should be visited before node17\nnode 30 should be visited before node25\nnode 30 should be visited before node17\nnode 31 should be visited before node8\nnode 31 should be visited before node1\nnode 31 should be visited before node14\nnode 31 should be visited before node28\nnode 31 should be visited before node22\nnode 31 should be visited before node27\nnode 31 should be visited before node11\nnode 31 should be visited before node30\nnode 31 should be visited before node19\nnode 31 should be visited before node25\nnode 31 should be visited before node23\nnode 31 should be visited before node17\nnode 32 should be visited before node0\nnode 32 should be visited before node29\nnode 32 should be visited before node22\nnode 32 should be visited before node11\nnode 32 should be visited before node7\nnode 32 should be visited before node19\nnode 32 should be visited before node25\nnode 32 should be visited before node4\nnode 32 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,13,18,16,2,15,31,10,3,8,20,24,26,5,1,14,32,21,0,6,29,12,28,27,22,11,7,30,19,4,25,23,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph875",
        "image": "data/topology/graph_visual/hard/graph875.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 1 should be visited before node21\nnode 1 should be visited before node23\nnode 1 should be visited before node13\nnode 1 should be visited before node26\nnode 1 should be visited before node9\nnode 1 should be visited before node3\nnode 1 should be visited before node10\nnode 2 should be visited before node21\nnode 2 should be visited before node13\nnode 2 should be visited before node26\nnode 2 should be visited before node9\nnode 4 should be visited before node15\nnode 4 should be visited before node18\nnode 4 should be visited before node20\nnode 4 should be visited before node16\nnode 4 should be visited before node22\nnode 4 should be visited before node10\nnode 5 should be visited before node31\nnode 5 should be visited before node13\nnode 5 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node19\nnode 6 should be visited before node16\nnode 6 should be visited before node22\nnode 6 should be visited before node0\nnode 6 should be visited before node9\nnode 6 should be visited before node3\nnode 7 should be visited before node24\nnode 7 should be visited before node29\nnode 7 should be visited before node15\nnode 7 should be visited before node32\nnode 7 should be visited before node22\nnode 7 should be visited before node31\nnode 7 should be visited before node21\nnode 7 should be visited before node13\nnode 7 should be visited before node26\nnode 8 should be visited before node2\nnode 8 should be visited before node23\nnode 8 should be visited before node13\nnode 9 should be visited before node3\nnode 11 should be visited before node19\nnode 11 should be visited before node20\nnode 11 should be visited before node22\nnode 11 should be visited before node31\nnode 11 should be visited before node13\nnode 11 should be visited before node26\nnode 11 should be visited before node0\nnode 12 should be visited before node25\nnode 12 should be visited before node29\nnode 12 should be visited before node15\nnode 12 should be visited before node18\nnode 12 should be visited before node8\nnode 12 should be visited before node2\nnode 12 should be visited before node22\nnode 12 should be visited before node31\nnode 12 should be visited before node9\nnode 13 should be visited before node9\nnode 14 should be visited before node28\nnode 14 should be visited before node4\nnode 14 should be visited before node15\nnode 14 should be visited before node32\nnode 14 should be visited before node20\nnode 14 should be visited before node21\nnode 14 should be visited before node0\nnode 14 should be visited before node9\nnode 15 should be visited before node2\nnode 15 should be visited before node20\nnode 15 should be visited before node22\nnode 15 should be visited before node13\nnode 15 should be visited before node26\nnode 16 should be visited before node21\nnode 16 should be visited before node9\nnode 17 should be visited before node25\nnode 17 should be visited before node11\nnode 17 should be visited before node15\nnode 17 should be visited before node6\nnode 17 should be visited before node18\nnode 17 should be visited before node5\nnode 17 should be visited before node22\nnode 17 should be visited before node0\nnode 18 should be visited before node19\nnode 18 should be visited before node5\nnode 18 should be visited before node16\nnode 18 should be visited before node21\nnode 18 should be visited before node3\nnode 18 should be visited before node10\nnode 19 should be visited before node5\nnode 19 should be visited before node1\nnode 19 should be visited before node31\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 20 should be visited before node21\nnode 20 should be visited before node13\nnode 20 should be visited before node26\nnode 21 should be visited before node23\nnode 21 should be visited before node3\nnode 22 should be visited before node13\nnode 22 should be visited before node0\nnode 22 should be visited before node9\nnode 23 should be visited before node0\nnode 23 should be visited before node9\nnode 24 should be visited before node28\nnode 24 should be visited before node4\nnode 24 should be visited before node6\nnode 24 should be visited before node32\nnode 24 should be visited before node19\nnode 24 should be visited before node22\nnode 24 should be visited before node31\nnode 24 should be visited before node26\nnode 24 should be visited before node0\nnode 24 should be visited before node10\nnode 25 should be visited before node11\nnode 25 should be visited before node15\nnode 25 should be visited before node6\nnode 25 should be visited before node5\nnode 25 should be visited before node1\nnode 25 should be visited before node16\nnode 25 should be visited before node31\nnode 25 should be visited before node23\nnode 25 should be visited before node13\nnode 25 should be visited before node9\nnode 25 should be visited before node10\nnode 26 should be visited before node3\nnode 27 should be visited before node30\nnode 27 should be visited before node29\nnode 27 should be visited before node32\nnode 27 should be visited before node8\nnode 27 should be visited before node5\nnode 27 should be visited before node22\nnode 27 should be visited before node31\nnode 27 should be visited before node23\nnode 28 should be visited before node11\nnode 28 should be visited before node22\nnode 29 should be visited before node28\nnode 29 should be visited before node11\nnode 29 should be visited before node4\nnode 29 should be visited before node8\nnode 29 should be visited before node2\nnode 29 should be visited before node20\nnode 29 should be visited before node5\nnode 29 should be visited before node22\nnode 29 should be visited before node21\nnode 29 should be visited before node23\nnode 30 should be visited before node12\nnode 30 should be visited before node25\nnode 30 should be visited before node2\nnode 30 should be visited before node5\nnode 30 should be visited before node31\nnode 30 should be visited before node21\nnode 31 should be visited before node13\nnode 31 should be visited before node26\nnode 31 should be visited before node9\nnode 31 should be visited before node10\nnode 32 should be visited before node8\nnode 32 should be visited before node2\nnode 32 should be visited before node16\nnode 32 should be visited before node31\nnode 32 should be visited before node23\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,14,17,27,24,30,32,12,25,29,6,28,4,8,11,15,18,2,20,22,19,16,5,1,31,21,13,26,10,23,0,9,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph506",
        "image": "data/topology/graph_visual/hard/graph506.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node9\nnode 0 should be visited before node8\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 0 should be visited before node14\nnode 0 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node17\nnode 1 should be visited before node14\nnode 1 should be visited before node26\nnode 1 should be visited before node16\nnode 1 should be visited before node13\nnode 2 should be visited before node10\nnode 2 should be visited before node26\nnode 2 should be visited before node16\nnode 3 should be visited before node23\nnode 3 should be visited before node21\nnode 3 should be visited before node1\nnode 3 should be visited before node2\nnode 3 should be visited before node18\nnode 4 should be visited before node29\nnode 4 should be visited before node28\nnode 4 should be visited before node22\nnode 4 should be visited before node2\nnode 4 should be visited before node26\nnode 5 should be visited before node22\nnode 5 should be visited before node27\nnode 5 should be visited before node16\nnode 6 should be visited before node5\nnode 6 should be visited before node14\nnode 6 should be visited before node22\nnode 6 should be visited before node19\nnode 6 should be visited before node13\nnode 7 should be visited before node4\nnode 7 should be visited before node9\nnode 7 should be visited before node26\nnode 7 should be visited before node19\nnode 7 should be visited before node13\nnode 8 should be visited before node1\nnode 8 should be visited before node22\nnode 8 should be visited before node18\nnode 9 should be visited before node6\nnode 9 should be visited before node18\nnode 9 should be visited before node16\nnode 10 should be visited before node16\nnode 11 should be visited before node8\nnode 11 should be visited before node12\nnode 11 should be visited before node6\nnode 11 should be visited before node22\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 12 should be visited before node14\nnode 12 should be visited before node27\nnode 12 should be visited before node26\nnode 12 should be visited before node13\nnode 14 should be visited before node2\nnode 14 should be visited before node13\nnode 15 should be visited before node3\nnode 15 should be visited before node23\nnode 15 should be visited before node29\nnode 15 should be visited before node17\nnode 15 should be visited before node28\nnode 15 should be visited before node14\nnode 15 should be visited before node22\nnode 15 should be visited before node27\nnode 15 should be visited before node26\nnode 17 should be visited before node5\nnode 17 should be visited before node19\nnode 18 should be visited before node10\nnode 20 should be visited before node28\nnode 20 should be visited before node2\nnode 20 should be visited before node10\nnode 20 should be visited before node27\nnode 21 should be visited before node17\nnode 21 should be visited before node5\nnode 21 should be visited before node28\nnode 21 should be visited before node26\nnode 21 should be visited before node19\nnode 21 should be visited before node13\nnode 22 should be visited before node2\nnode 22 should be visited before node18\nnode 22 should be visited before node10\nnode 22 should be visited before node13\nnode 23 should be visited before node21\nnode 23 should be visited before node17\nnode 23 should be visited before node28\nnode 23 should be visited before node22\nnode 23 should be visited before node26\nnode 24 should be visited before node12\nnode 24 should be visited before node6\nnode 24 should be visited before node17\nnode 24 should be visited before node18\nnode 24 should be visited before node10\nnode 24 should be visited before node26\nnode 24 should be visited before node19\nnode 24 should be visited before node16\nnode 24 should be visited before node13\nnode 25 should be visited before node21\nnode 25 should be visited before node8\nnode 25 should be visited before node5\nnode 25 should be visited before node28\nnode 25 should be visited before node2\nnode 25 should be visited before node16\nnode 25 should be visited before node13\nnode 28 should be visited before node14\nnode 28 should be visited before node22\nnode 28 should be visited before node18\nnode 29 should be visited before node8\nnode 29 should be visited before node17\nnode 29 should be visited before node10\nnode 29 should be visited before node26\nnode 29 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,7,11,15,20,24,25,4,9,3,12,29,23,8,21,1,28,6,17,14,5,19,22,27,2,18,13,26,10,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph22",
        "image": "data/topology/graph_visual/hard/graph22.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node25\nnode 0 should be visited before node3\nnode 0 should be visited before node24\nnode 0 should be visited before node10\nnode 0 should be visited before node19\nnode 1 should be visited before node7\nnode 1 should be visited before node18\nnode 2 should be visited before node23\nnode 2 should be visited before node8\nnode 2 should be visited before node0\nnode 2 should be visited before node13\nnode 2 should be visited before node20\nnode 2 should be visited before node7\nnode 2 should be visited before node10\nnode 2 should be visited before node19\nnode 3 should be visited before node18\nnode 4 should be visited before node24\nnode 4 should be visited before node19\nnode 5 should be visited before node16\nnode 5 should be visited before node15\nnode 5 should be visited before node9\nnode 5 should be visited before node13\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node18\nnode 7 should be visited before node18\nnode 7 should be visited before node10\nnode 8 should be visited before node25\nnode 8 should be visited before node5\nnode 8 should be visited before node9\nnode 8 should be visited before node1\nnode 8 should be visited before node6\nnode 9 should be visited before node3\nnode 9 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node18\nnode 9 should be visited before node11\nnode 12 should be visited before node22\nnode 12 should be visited before node21\nnode 12 should be visited before node2\nnode 12 should be visited before node23\nnode 12 should be visited before node8\nnode 12 should be visited before node0\nnode 12 should be visited before node25\nnode 12 should be visited before node16\nnode 12 should be visited before node15\nnode 12 should be visited before node11\nnode 13 should be visited before node4\nnode 13 should be visited before node7\nnode 13 should be visited before node24\nnode 13 should be visited before node11\nnode 14 should be visited before node4\nnode 14 should be visited before node18\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 14 should be visited before node19\nnode 15 should be visited before node4\nnode 15 should be visited before node7\nnode 16 should be visited before node15\nnode 16 should be visited before node9\nnode 16 should be visited before node20\nnode 16 should be visited before node3\nnode 16 should be visited before node1\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node11\nnode 16 should be visited before node19\nnode 17 should be visited before node22\nnode 17 should be visited before node2\nnode 17 should be visited before node23\nnode 17 should be visited before node8\nnode 17 should be visited before node0\nnode 17 should be visited before node25\nnode 17 should be visited before node5\nnode 17 should be visited before node16\nnode 17 should be visited before node15\nnode 17 should be visited before node9\nnode 17 should be visited before node13\nnode 17 should be visited before node20\nnode 17 should be visited before node14\nnode 17 should be visited before node24\nnode 17 should be visited before node11\nnode 20 should be visited before node3\nnode 20 should be visited before node10\nnode 21 should be visited before node5\nnode 21 should be visited before node4\nnode 21 should be visited before node10\nnode 21 should be visited before node19\nnode 22 should be visited before node21\nnode 22 should be visited before node2\nnode 22 should be visited before node16\nnode 22 should be visited before node15\nnode 22 should be visited before node20\nnode 22 should be visited before node7\nnode 22 should be visited before node24\nnode 22 should be visited before node11\nnode 22 should be visited before node6\nnode 23 should be visited before node0\nnode 23 should be visited before node9\nnode 23 should be visited before node20\nnode 23 should be visited before node1\nnode 23 should be visited before node7\nnode 23 should be visited before node24\nnode 23 should be visited before node18\nnode 23 should be visited before node11\nnode 23 should be visited before node6\nnode 24 should be visited before node18\nnode 24 should be visited before node11\nnode 24 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "12,17,22,14,21,2,23,8,0,5,6,25,16,13,15,9,20,1,4,3,7,24,10,18,11,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph6",
        "image": "data/topology/graph_visual/hard/graph6.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 1 should be visited before node7\nnode 1 should be visited before node20\nnode 2 should be visited before node22\nnode 2 should be visited before node7\nnode 2 should be visited before node0\nnode 3 should be visited before node15\nnode 3 should be visited before node9\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node4\nnode 3 should be visited before node18\nnode 3 should be visited before node10\nnode 4 should be visited before node22\nnode 4 should be visited before node10\nnode 4 should be visited before node6\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node15\nnode 5 should be visited before node9\nnode 5 should be visited before node11\nnode 7 should be visited before node10\nnode 7 should be visited before node0\nnode 8 should be visited before node10\nnode 8 should be visited before node0\nnode 8 should be visited before node6\nnode 9 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node13\nnode 9 should be visited before node22\nnode 9 should be visited before node10\nnode 9 should be visited before node0\nnode 11 should be visited before node4\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 11 should be visited before node22\nnode 11 should be visited before node0\nnode 12 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node9\nnode 12 should be visited before node11\nnode 12 should be visited before node17\nnode 12 should be visited before node4\nnode 12 should be visited before node18\nnode 12 should be visited before node10\nnode 13 should be visited before node22\nnode 13 should be visited before node7\nnode 13 should be visited before node10\nnode 14 should be visited before node24\nnode 14 should be visited before node4\nnode 14 should be visited before node8\nnode 14 should be visited before node10\nnode 15 should be visited before node9\nnode 15 should be visited before node11\nnode 15 should be visited before node24\nnode 15 should be visited before node4\nnode 15 should be visited before node18\nnode 15 should be visited before node7\nnode 15 should be visited before node20\nnode 16 should be visited before node12\nnode 16 should be visited before node15\nnode 16 should be visited before node9\nnode 16 should be visited before node0\nnode 16 should be visited before node6\nnode 17 should be visited before node1\nnode 17 should be visited before node22\nnode 17 should be visited before node10\nnode 18 should be visited before node10\nnode 19 should be visited before node25\nnode 19 should be visited before node21\nnode 19 should be visited before node15\nnode 19 should be visited before node13\nnode 19 should be visited before node10\nnode 19 should be visited before node6\nnode 21 should be visited before node15\nnode 21 should be visited before node9\nnode 21 should be visited before node4\nnode 21 should be visited before node18\nnode 21 should be visited before node10\nnode 21 should be visited before node6\nnode 23 should be visited before node5\nnode 23 should be visited before node11\nnode 23 should be visited before node24\nnode 23 should be visited before node2\nnode 23 should be visited before node18\nnode 23 should be visited before node7\nnode 24 should be visited before node18\nnode 24 should be visited before node8\nnode 24 should be visited before node13\nnode 24 should be visited before node10\nnode 24 should be visited before node20\nnode 25 should be visited before node16\nnode 25 should be visited before node23\nnode 25 should be visited before node15\nnode 25 should be visited before node9\nnode 25 should be visited before node1\nnode 25 should be visited before node13\nnode 25 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,25,16,23,12,5,21,17,3,14,15,9,11,24,1,4,2,18,8,13,20,6,22,7,10,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph261",
        "image": "data/topology/graph_visual/hard/graph261.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node5\nnode 0 should be visited before node20\nnode 0 should be visited before node7\nnode 1 should be visited before node18\nnode 1 should be visited before node0\nnode 1 should be visited before node17\nnode 1 should be visited before node27\nnode 2 should be visited before node23\nnode 2 should be visited before node26\nnode 2 should be visited before node22\nnode 2 should be visited before node1\nnode 2 should be visited before node18\nnode 2 should be visited before node16\nnode 2 should be visited before node14\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 4 should be visited before node13\nnode 4 should be visited before node23\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 4 should be visited before node26\nnode 4 should be visited before node25\nnode 4 should be visited before node1\nnode 4 should be visited before node20\nnode 4 should be visited before node3\nnode 4 should be visited before node7\nnode 5 should be visited before node20\nnode 5 should be visited before node3\nnode 5 should be visited before node7\nnode 6 should be visited before node17\nnode 6 should be visited before node27\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 10 should be visited before node13\nnode 10 should be visited before node23\nnode 10 should be visited before node26\nnode 10 should be visited before node8\nnode 10 should be visited before node1\nnode 10 should be visited before node16\nnode 10 should be visited before node0\nnode 10 should be visited before node7\nnode 10 should be visited before node17\nnode 11 should be visited before node26\nnode 11 should be visited before node22\nnode 11 should be visited before node21\nnode 11 should be visited before node16\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 11 should be visited before node17\nnode 11 should be visited before node27\nnode 12 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node14\nnode 12 should be visited before node9\nnode 12 should be visited before node20\nnode 12 should be visited before node3\nnode 12 should be visited before node17\nnode 12 should be visited before node27\nnode 13 should be visited before node23\nnode 13 should be visited before node21\nnode 13 should be visited before node18\nnode 13 should be visited before node6\nnode 13 should be visited before node16\nnode 13 should be visited before node14\nnode 13 should be visited before node9\nnode 13 should be visited before node20\nnode 14 should be visited before node20\nnode 14 should be visited before node17\nnode 15 should be visited before node11\nnode 15 should be visited before node26\nnode 15 should be visited before node22\nnode 15 should be visited before node8\nnode 15 should be visited before node12\nnode 15 should be visited before node18\nnode 15 should be visited before node17\nnode 15 should be visited before node27\nnode 16 should be visited before node9\nnode 16 should be visited before node20\nnode 16 should be visited before node3\nnode 16 should be visited before node17\nnode 16 should be visited before node27\nnode 18 should be visited before node6\nnode 18 should be visited before node16\nnode 18 should be visited before node9\nnode 18 should be visited before node17\nnode 19 should be visited before node8\nnode 19 should be visited before node12\nnode 19 should be visited before node18\nnode 19 should be visited before node6\nnode 19 should be visited before node16\nnode 19 should be visited before node14\nnode 19 should be visited before node0\nnode 19 should be visited before node5\nnode 19 should be visited before node9\nnode 19 should be visited before node7\nnode 19 should be visited before node27\nnode 20 should be visited before node3\nnode 20 should be visited before node7\nnode 21 should be visited before node14\nnode 21 should be visited before node0\nnode 21 should be visited before node5\nnode 21 should be visited before node3\nnode 22 should be visited before node6\nnode 22 should be visited before node20\nnode 22 should be visited before node27\nnode 23 should be visited before node22\nnode 23 should be visited before node1\nnode 23 should be visited before node12\nnode 23 should be visited before node16\nnode 23 should be visited before node0\nnode 23 should be visited before node3\nnode 23 should be visited before node17\nnode 23 should be visited before node27\nnode 24 should be visited before node19\nnode 24 should be visited before node2\nnode 24 should be visited before node26\nnode 24 should be visited before node22\nnode 24 should be visited before node8\nnode 24 should be visited before node6\nnode 24 should be visited before node9\nnode 24 should be visited before node7\nnode 25 should be visited before node8\nnode 25 should be visited before node12\nnode 25 should be visited before node5\nnode 25 should be visited before node9\nnode 25 should be visited before node17\nnode 26 should be visited before node25\nnode 26 should be visited before node1\nnode 26 should be visited before node12\nnode 26 should be visited before node18\nnode 26 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,10,24,15,13,19,2,11,23,26,21,22,25,8,1,12,18,0,14,6,16,5,9,17,27,20,3,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph913",
        "image": "data/topology/graph_visual/hard/graph913.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node13\nnode 0 should be visited before node17\nnode 0 should be visited before node7\nnode 0 should be visited before node19\nnode 0 should be visited before node29\nnode 0 should be visited before node5\nnode 0 should be visited before node31\nnode 1 should be visited before node32\nnode 1 should be visited before node26\nnode 1 should be visited before node2\nnode 1 should be visited before node21\nnode 1 should be visited before node27\nnode 1 should be visited before node6\nnode 1 should be visited before node22\nnode 1 should be visited before node16\nnode 1 should be visited before node24\nnode 1 should be visited before node10\nnode 1 should be visited before node17\nnode 1 should be visited before node7\nnode 1 should be visited before node4\nnode 1 should be visited before node14\nnode 1 should be visited before node19\nnode 1 should be visited before node29\nnode 1 should be visited before node15\nnode 1 should be visited before node23\nnode 1 should be visited before node30\nnode 1 should be visited before node31\nnode 1 should be visited before node25\nnode 2 should be visited before node21\nnode 2 should be visited before node6\nnode 2 should be visited before node22\nnode 2 should be visited before node24\nnode 2 should be visited before node0\nnode 2 should be visited before node11\nnode 2 should be visited before node10\nnode 2 should be visited before node4\nnode 2 should be visited before node19\nnode 2 should be visited before node23\nnode 2 should be visited before node5\nnode 2 should be visited before node30\nnode 2 should be visited before node31\nnode 3 should be visited before node25\nnode 4 should be visited before node5\nnode 4 should be visited before node3\nnode 5 should be visited before node30\nnode 5 should be visited before node3\nnode 6 should be visited before node22\nnode 6 should be visited before node20\nnode 6 should be visited before node24\nnode 6 should be visited before node13\nnode 6 should be visited before node8\nnode 6 should be visited before node11\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 6 should be visited before node17\nnode 6 should be visited before node19\nnode 6 should be visited before node29\nnode 6 should be visited before node30\nnode 6 should be visited before node25\nnode 7 should be visited before node4\nnode 7 should be visited before node14\nnode 7 should be visited before node19\nnode 7 should be visited before node15\nnode 7 should be visited before node23\nnode 7 should be visited before node30\nnode 8 should be visited before node11\nnode 8 should be visited before node12\nnode 8 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node23\nnode 8 should be visited before node5\nnode 8 should be visited before node30\nnode 8 should be visited before node3\nnode 9 should be visited before node24\nnode 9 should be visited before node13\nnode 9 should be visited before node18\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node17\nnode 9 should be visited before node29\nnode 9 should be visited before node15\nnode 9 should be visited before node23\nnode 10 should be visited before node17\nnode 10 should be visited before node14\nnode 10 should be visited before node19\nnode 10 should be visited before node23\nnode 10 should be visited before node5\nnode 10 should be visited before node30\nnode 10 should be visited before node31\nnode 10 should be visited before node3\nnode 11 should be visited before node12\nnode 11 should be visited before node17\nnode 11 should be visited before node7\nnode 11 should be visited before node4\nnode 11 should be visited before node14\nnode 11 should be visited before node19\nnode 11 should be visited before node29\nnode 11 should be visited before node15\nnode 11 should be visited before node31\nnode 11 should be visited before node3\nnode 11 should be visited before node25\nnode 12 should be visited before node19\nnode 12 should be visited before node29\nnode 12 should be visited before node15\nnode 12 should be visited before node5\nnode 12 should be visited before node30\nnode 12 should be visited before node31\nnode 12 should be visited before node25\nnode 13 should be visited before node8\nnode 13 should be visited before node11\nnode 13 should be visited before node10\nnode 13 should be visited before node17\nnode 13 should be visited before node7\nnode 13 should be visited before node14\nnode 13 should be visited before node15\nnode 13 should be visited before node23\nnode 13 should be visited before node30\nnode 13 should be visited before node31\nnode 13 should be visited before node3\nnode 13 should be visited before node25\nnode 14 should be visited before node19\nnode 14 should be visited before node29\nnode 14 should be visited before node23\nnode 14 should be visited before node3\nnode 14 should be visited before node25\nnode 15 should be visited before node23\nnode 15 should be visited before node5\nnode 15 should be visited before node31\nnode 16 should be visited before node20\nnode 16 should be visited before node9\nnode 16 should be visited before node24\nnode 16 should be visited before node8\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node4\nnode 16 should be visited before node23\nnode 16 should be visited before node30\nnode 16 should be visited before node25\nnode 17 should be visited before node31\nnode 18 should be visited before node8\nnode 18 should be visited before node10\nnode 18 should be visited before node7\nnode 18 should be visited before node19\nnode 18 should be visited before node29\nnode 18 should be visited before node15\nnode 18 should be visited before node5\nnode 18 should be visited before node30\nnode 18 should be visited before node31\nnode 18 should be visited before node25\nnode 19 should be visited before node23\nnode 19 should be visited before node5\nnode 20 should be visited before node24\nnode 20 should be visited before node0\nnode 20 should be visited before node13\nnode 20 should be visited before node11\nnode 20 should be visited before node17\nnode 20 should be visited before node4\nnode 20 should be visited before node14\nnode 20 should be visited before node19\nnode 20 should be visited before node15\nnode 20 should be visited before node30\nnode 20 should be visited before node3\nnode 21 should be visited before node27\nnode 21 should be visited before node16\nnode 21 should be visited before node24\nnode 21 should be visited before node18\nnode 21 should be visited before node11\nnode 21 should be visited before node10\nnode 21 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node15\nnode 21 should be visited before node23\nnode 21 should be visited before node31\nnode 21 should be visited before node3\nnode 21 should be visited before node25\nnode 22 should be visited before node20\nnode 22 should be visited before node18\nnode 22 should be visited before node11\nnode 22 should be visited before node12\nnode 22 should be visited before node7\nnode 22 should be visited before node15\nnode 22 should be visited before node23\nnode 22 should be visited before node5\nnode 22 should be visited before node30\nnode 22 should be visited before node25\nnode 23 should be visited before node5\nnode 23 should be visited before node30\nnode 23 should be visited before node25\nnode 24 should be visited before node0\nnode 24 should be visited before node13\nnode 24 should be visited before node18\nnode 24 should be visited before node19\nnode 24 should be visited before node29\nnode 24 should be visited before node31\nnode 26 should be visited before node21\nnode 26 should be visited before node24\nnode 26 should be visited before node0\nnode 26 should be visited before node13\nnode 26 should be visited before node18\nnode 26 should be visited before node8\nnode 26 should be visited before node12\nnode 26 should be visited before node10\nnode 26 should be visited before node4\nnode 26 should be visited before node14\nnode 26 should be visited before node30\nnode 27 should be visited before node22\nnode 27 should be visited before node9\nnode 27 should be visited before node24\nnode 27 should be visited before node13\nnode 27 should be visited before node12\nnode 27 should be visited before node10\nnode 27 should be visited before node4\nnode 27 should be visited before node14\nnode 27 should be visited before node23\nnode 27 should be visited before node30\nnode 27 should be visited before node3\nnode 28 should be visited before node21\nnode 28 should be visited before node6\nnode 28 should be visited before node16\nnode 28 should be visited before node24\nnode 28 should be visited before node0\nnode 28 should be visited before node13\nnode 28 should be visited before node8\nnode 28 should be visited before node11\nnode 28 should be visited before node12\nnode 28 should be visited before node10\nnode 28 should be visited before node7\nnode 28 should be visited before node14\nnode 28 should be visited before node19\nnode 28 should be visited before node23\nnode 28 should be visited before node3\nnode 29 should be visited before node15\nnode 29 should be visited before node23\nnode 29 should be visited before node30\nnode 29 should be visited before node31\nnode 29 should be visited before node3\nnode 29 should be visited before node25\nnode 30 should be visited before node25\nnode 32 should be visited before node26\nnode 32 should be visited before node2\nnode 32 should be visited before node21\nnode 32 should be visited before node27\nnode 32 should be visited before node6\nnode 32 should be visited before node22\nnode 32 should be visited before node9\nnode 32 should be visited before node24\nnode 32 should be visited before node0\nnode 32 should be visited before node13\nnode 32 should be visited before node18\nnode 32 should be visited before node8\nnode 32 should be visited before node12\nnode 32 should be visited before node17\nnode 32 should be visited before node7\nnode 32 should be visited before node4\nnode 32 should be visited before node14\nnode 32 should be visited before node5\nnode 32 should be visited before node30\nnode 32 should be visited before node31\nnode 32 should be visited before node3\nnode 32 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,28,32,26,2,21,6,27,16,22,9,20,24,0,18,13,8,11,10,12,7,17,4,14,19,29,15,23,31,5,30,3,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph1079",
        "image": "data/topology/graph_visual/hard/graph1079.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node18\nnode 1 should be visited before node31\nnode 1 should be visited before node28\nnode 1 should be visited before node10\nnode 1 should be visited before node23\nnode 1 should be visited before node0\nnode 2 should be visited before node15\nnode 2 should be visited before node1\nnode 2 should be visited before node14\nnode 2 should be visited before node28\nnode 2 should be visited before node9\nnode 2 should be visited before node18\nnode 3 should be visited before node10\nnode 3 should be visited before node9\nnode 3 should be visited before node29\nnode 3 should be visited before node23\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node14\nnode 4 should be visited before node31\nnode 4 should be visited before node22\nnode 4 should be visited before node19\nnode 4 should be visited before node28\nnode 4 should be visited before node9\nnode 4 should be visited before node29\nnode 4 should be visited before node23\nnode 4 should be visited before node8\nnode 5 should be visited before node33\nnode 5 should be visited before node30\nnode 5 should be visited before node4\nnode 5 should be visited before node11\nnode 5 should be visited before node32\nnode 5 should be visited before node17\nnode 5 should be visited before node14\nnode 5 should be visited before node31\nnode 5 should be visited before node19\nnode 5 should be visited before node28\nnode 5 should be visited before node29\nnode 5 should be visited before node0\nnode 6 should be visited before node26\nnode 6 should be visited before node24\nnode 6 should be visited before node7\nnode 6 should be visited before node13\nnode 6 should be visited before node17\nnode 6 should be visited before node14\nnode 6 should be visited before node20\nnode 6 should be visited before node31\nnode 6 should be visited before node22\nnode 6 should be visited before node3\nnode 6 should be visited before node10\nnode 6 should be visited before node9\nnode 6 should be visited before node29\nnode 6 should be visited before node8\nnode 7 should be visited before node13\nnode 7 should be visited before node32\nnode 7 should be visited before node2\nnode 7 should be visited before node15\nnode 7 should be visited before node20\nnode 7 should be visited before node31\nnode 7 should be visited before node22\nnode 7 should be visited before node3\nnode 7 should be visited before node9\nnode 7 should be visited before node23\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node8\nnode 9 should be visited before node8\nnode 10 should be visited before node9\nnode 10 should be visited before node23\nnode 10 should be visited before node8\nnode 11 should be visited before node13\nnode 11 should be visited before node32\nnode 11 should be visited before node17\nnode 11 should be visited before node14\nnode 11 should be visited before node16\nnode 11 should be visited before node20\nnode 11 should be visited before node31\nnode 11 should be visited before node19\nnode 11 should be visited before node28\nnode 11 should be visited before node29\nnode 11 should be visited before node0\nnode 11 should be visited before node8\nnode 12 should be visited before node30\nnode 12 should be visited before node7\nnode 12 should be visited before node4\nnode 12 should be visited before node2\nnode 12 should be visited before node16\nnode 12 should be visited before node31\nnode 12 should be visited before node19\nnode 12 should be visited before node3\nnode 12 should be visited before node10\nnode 12 should be visited before node9\nnode 12 should be visited before node29\nnode 12 should be visited before node0\nnode 12 should be visited before node18\nnode 13 should be visited before node17\nnode 13 should be visited before node1\nnode 13 should be visited before node16\nnode 13 should be visited before node20\nnode 13 should be visited before node31\nnode 13 should be visited before node19\nnode 13 should be visited before node10\nnode 13 should be visited before node9\nnode 13 should be visited before node29\nnode 13 should be visited before node23\nnode 13 should be visited before node0\nnode 13 should be visited before node18\nnode 13 should be visited before node8\nnode 14 should be visited before node16\nnode 14 should be visited before node3\nnode 14 should be visited before node23\nnode 14 should be visited before node0\nnode 14 should be visited before node18\nnode 14 should be visited before node8\nnode 15 should be visited before node14\nnode 15 should be visited before node16\nnode 15 should be visited before node20\nnode 15 should be visited before node31\nnode 15 should be visited before node22\nnode 15 should be visited before node19\nnode 15 should be visited before node28\nnode 15 should be visited before node10\nnode 15 should be visited before node29\nnode 15 should be visited before node18\nnode 16 should be visited before node20\nnode 16 should be visited before node22\nnode 16 should be visited before node19\nnode 16 should be visited before node3\nnode 16 should be visited before node29\nnode 16 should be visited before node23\nnode 16 should be visited before node0\nnode 16 should be visited before node18\nnode 17 should be visited before node2\nnode 17 should be visited before node15\nnode 17 should be visited before node14\nnode 17 should be visited before node20\nnode 17 should be visited before node31\nnode 17 should be visited before node3\nnode 17 should be visited before node9\nnode 17 should be visited before node29\nnode 17 should be visited before node18\nnode 18 should be visited before node8\nnode 19 should be visited before node3\nnode 19 should be visited before node10\nnode 19 should be visited before node29\nnode 19 should be visited before node23\nnode 20 should be visited before node31\nnode 20 should be visited before node22\nnode 20 should be visited before node19\nnode 20 should be visited before node3\nnode 20 should be visited before node10\nnode 20 should be visited before node29\nnode 20 should be visited before node18\nnode 20 should be visited before node8\nnode 21 should be visited before node33\nnode 21 should be visited before node12\nnode 21 should be visited before node30\nnode 21 should be visited before node24\nnode 21 should be visited before node11\nnode 21 should be visited before node13\nnode 21 should be visited before node2\nnode 21 should be visited before node15\nnode 21 should be visited before node16\nnode 21 should be visited before node20\nnode 21 should be visited before node31\nnode 21 should be visited before node22\nnode 21 should be visited before node28\nnode 21 should be visited before node10\nnode 21 should be visited before node9\nnode 21 should be visited before node23\nnode 21 should be visited before node0\nnode 21 should be visited before node18\nnode 21 should be visited before node8\nnode 22 should be visited before node19\nnode 22 should be visited before node28\nnode 22 should be visited before node3\nnode 22 should be visited before node10\nnode 22 should be visited before node29\nnode 22 should be visited before node18\nnode 23 should be visited before node0\nnode 24 should be visited before node17\nnode 24 should be visited before node2\nnode 24 should be visited before node15\nnode 24 should be visited before node14\nnode 24 should be visited before node16\nnode 24 should be visited before node3\nnode 24 should be visited before node10\nnode 24 should be visited before node9\nnode 24 should be visited before node29\nnode 24 should be visited before node23\nnode 24 should be visited before node0\nnode 25 should be visited before node21\nnode 25 should be visited before node12\nnode 25 should be visited before node30\nnode 25 should be visited before node7\nnode 25 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node32\nnode 25 should be visited before node17\nnode 25 should be visited before node2\nnode 25 should be visited before node15\nnode 25 should be visited before node14\nnode 25 should be visited before node16\nnode 25 should be visited before node20\nnode 25 should be visited before node31\nnode 25 should be visited before node22\nnode 25 should be visited before node19\nnode 25 should be visited before node28\nnode 25 should be visited before node3\nnode 25 should be visited before node29\nnode 25 should be visited before node0\nnode 25 should be visited before node18\nnode 26 should be visited before node4\nnode 26 should be visited before node13\nnode 26 should be visited before node32\nnode 26 should be visited before node2\nnode 26 should be visited before node15\nnode 26 should be visited before node1\nnode 26 should be visited before node3\nnode 26 should be visited before node10\nnode 26 should be visited before node9\nnode 26 should be visited before node29\nnode 26 should be visited before node8\nnode 27 should be visited before node6\nnode 27 should be visited before node21\nnode 27 should be visited before node26\nnode 27 should be visited before node24\nnode 27 should be visited before node7\nnode 27 should be visited before node4\nnode 27 should be visited before node32\nnode 27 should be visited before node17\nnode 27 should be visited before node2\nnode 27 should be visited before node15\nnode 27 should be visited before node14\nnode 27 should be visited before node28\nnode 27 should be visited before node10\nnode 27 should be visited before node9\nnode 27 should be visited before node29\nnode 28 should be visited before node9\nnode 28 should be visited before node23\nnode 28 should be visited before node18\nnode 28 should be visited before node8\nnode 29 should be visited before node0\nnode 29 should be visited before node18\nnode 29 should be visited before node8\nnode 30 should be visited before node24\nnode 30 should be visited before node4\nnode 30 should be visited before node13\nnode 30 should be visited before node32\nnode 30 should be visited before node17\nnode 30 should be visited before node2\nnode 30 should be visited before node1\nnode 30 should be visited before node16\nnode 30 should be visited before node3\nnode 30 should be visited before node9\nnode 30 should be visited before node29\nnode 30 should be visited before node23\nnode 30 should be visited before node0\nnode 31 should be visited before node9\nnode 31 should be visited before node29\nnode 31 should be visited before node23\nnode 31 should be visited before node0\nnode 31 should be visited before node18\nnode 32 should be visited before node2\nnode 32 should be visited before node15\nnode 32 should be visited before node1\nnode 32 should be visited before node14\nnode 32 should be visited before node16\nnode 32 should be visited before node31\nnode 32 should be visited before node19\nnode 32 should be visited before node28\nnode 32 should be visited before node3\nnode 32 should be visited before node10\nnode 32 should be visited before node9\nnode 32 should be visited before node23\nnode 32 should be visited before node0\nnode 32 should be visited before node8\nnode 33 should be visited before node30\nnode 33 should be visited before node26\nnode 33 should be visited before node7\nnode 33 should be visited before node4\nnode 33 should be visited before node11\nnode 33 should be visited before node2\nnode 33 should be visited before node15\nnode 33 should be visited before node1\nnode 33 should be visited before node16\nnode 33 should be visited before node20\nnode 33 should be visited before node3\nnode 33 should be visited before node9\nnode 33 should be visited before node29\nnode 33 should be visited before node23\nnode 33 should be visited before node0\nnode 33 should be visited before node18\nnode 33 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,25,27,6,21,33,12,26,11,30,7,24,4,32,13,17,2,15,1,14,16,20,31,22,19,28,3,10,29,9,23,0,18,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph544",
        "image": "data/topology/graph_visual/hard/graph544.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node22\nnode 1 should be visited before node22\nnode 1 should be visited before node13\nnode 1 should be visited before node17\nnode 2 should be visited before node21\nnode 2 should be visited before node29\nnode 2 should be visited before node23\nnode 2 should be visited before node4\nnode 2 should be visited before node18\nnode 2 should be visited before node14\nnode 2 should be visited before node24\nnode 2 should be visited before node25\nnode 2 should be visited before node3\nnode 2 should be visited before node7\nnode 2 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node7\nnode 3 should be visited before node1\nnode 3 should be visited before node20\nnode 3 should be visited before node13\nnode 4 should be visited before node27\nnode 4 should be visited before node24\nnode 4 should be visited before node8\nnode 4 should be visited before node15\nnode 4 should be visited before node26\nnode 4 should be visited before node11\nnode 4 should be visited before node25\nnode 4 should be visited before node7\nnode 4 should be visited before node22\nnode 4 should be visited before node13\nnode 4 should be visited before node17\nnode 5 should be visited before node19\nnode 5 should be visited before node24\nnode 5 should be visited before node8\nnode 5 should be visited before node15\nnode 5 should be visited before node12\nnode 5 should be visited before node26\nnode 5 should be visited before node25\nnode 5 should be visited before node3\nnode 5 should be visited before node0\nnode 5 should be visited before node1\nnode 5 should be visited before node20\nnode 5 should be visited before node22\nnode 5 should be visited before node13\nnode 5 should be visited before node17\nnode 6 should be visited before node23\nnode 6 should be visited before node16\nnode 6 should be visited before node18\nnode 6 should be visited before node14\nnode 6 should be visited before node19\nnode 6 should be visited before node8\nnode 6 should be visited before node12\nnode 6 should be visited before node26\nnode 6 should be visited before node0\nnode 6 should be visited before node7\nnode 6 should be visited before node20\nnode 6 should be visited before node22\nnode 6 should be visited before node17\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 8 should be visited before node12\nnode 8 should be visited before node26\nnode 8 should be visited before node11\nnode 8 should be visited before node0\nnode 8 should be visited before node17\nnode 9 should be visited before node10\nnode 9 should be visited before node21\nnode 9 should be visited before node29\nnode 9 should be visited before node6\nnode 9 should be visited before node4\nnode 9 should be visited before node28\nnode 9 should be visited before node27\nnode 9 should be visited before node14\nnode 9 should be visited before node3\nnode 9 should be visited before node7\nnode 9 should be visited before node20\nnode 9 should be visited before node22\nnode 10 should be visited before node2\nnode 10 should be visited before node29\nnode 10 should be visited before node23\nnode 10 should be visited before node16\nnode 10 should be visited before node18\nnode 10 should be visited before node27\nnode 10 should be visited before node24\nnode 10 should be visited before node3\nnode 10 should be visited before node7\nnode 10 should be visited before node17\nnode 11 should be visited before node25\nnode 11 should be visited before node0\nnode 11 should be visited before node22\nnode 11 should be visited before node13\nnode 12 should be visited before node26\nnode 12 should be visited before node11\nnode 12 should be visited before node0\nnode 12 should be visited before node1\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 12 should be visited before node13\nnode 13 should be visited before node17\nnode 14 should be visited before node5\nnode 14 should be visited before node19\nnode 14 should be visited before node24\nnode 14 should be visited before node12\nnode 14 should be visited before node11\nnode 14 should be visited before node3\nnode 14 should be visited before node0\nnode 14 should be visited before node20\nnode 15 should be visited before node26\nnode 15 should be visited before node11\nnode 15 should be visited before node25\nnode 15 should be visited before node0\nnode 15 should be visited before node1\nnode 15 should be visited before node13\nnode 15 should be visited before node17\nnode 16 should be visited before node28\nnode 16 should be visited before node18\nnode 16 should be visited before node27\nnode 16 should be visited before node14\nnode 16 should be visited before node5\nnode 16 should be visited before node24\nnode 16 should be visited before node15\nnode 16 should be visited before node12\nnode 16 should be visited before node26\nnode 16 should be visited before node11\nnode 16 should be visited before node25\nnode 16 should be visited before node3\nnode 16 should be visited before node7\nnode 16 should be visited before node20\nnode 16 should be visited before node22\nnode 16 should be visited before node13\nnode 16 should be visited before node17\nnode 18 should be visited before node27\nnode 18 should be visited before node14\nnode 18 should be visited before node19\nnode 18 should be visited before node8\nnode 18 should be visited before node15\nnode 18 should be visited before node12\nnode 18 should be visited before node26\nnode 18 should be visited before node3\nnode 18 should be visited before node0\nnode 18 should be visited before node7\nnode 18 should be visited before node1\nnode 18 should be visited before node22\nnode 19 should be visited before node24\nnode 19 should be visited before node15\nnode 19 should be visited before node12\nnode 19 should be visited before node26\nnode 19 should be visited before node3\nnode 19 should be visited before node1\nnode 19 should be visited before node20\nnode 19 should be visited before node13\nnode 20 should be visited before node13\nnode 20 should be visited before node17\nnode 21 should be visited before node23\nnode 21 should be visited before node16\nnode 21 should be visited before node4\nnode 21 should be visited before node27\nnode 21 should be visited before node14\nnode 21 should be visited before node8\nnode 21 should be visited before node26\nnode 21 should be visited before node0\nnode 21 should be visited before node7\nnode 21 should be visited before node22\nnode 21 should be visited before node13\nnode 22 should be visited before node13\nnode 23 should be visited before node16\nnode 23 should be visited before node4\nnode 23 should be visited before node28\nnode 23 should be visited before node14\nnode 23 should be visited before node5\nnode 23 should be visited before node8\nnode 23 should be visited before node15\nnode 23 should be visited before node12\nnode 23 should be visited before node11\nnode 23 should be visited before node3\nnode 23 should be visited before node0\nnode 23 should be visited before node22\nnode 23 should be visited before node13\nnode 23 should be visited before node17\nnode 24 should be visited before node8\nnode 24 should be visited before node15\nnode 24 should be visited before node0\nnode 24 should be visited before node7\nnode 24 should be visited before node20\nnode 24 should be visited before node22\nnode 24 should be visited before node13\nnode 24 should be visited before node17\nnode 25 should be visited before node3\nnode 25 should be visited before node7\nnode 25 should be visited before node1\nnode 25 should be visited before node20\nnode 25 should be visited before node22\nnode 26 should be visited before node0\nnode 26 should be visited before node7\nnode 26 should be visited before node20\nnode 26 should be visited before node13\nnode 26 should be visited before node17\nnode 27 should be visited before node24\nnode 27 should be visited before node8\nnode 27 should be visited before node15\nnode 27 should be visited before node3\nnode 27 should be visited before node0\nnode 27 should be visited before node7\nnode 27 should be visited before node20\nnode 28 should be visited before node14\nnode 28 should be visited before node19\nnode 28 should be visited before node24\nnode 28 should be visited before node8\nnode 28 should be visited before node15\nnode 28 should be visited before node12\nnode 28 should be visited before node7\nnode 28 should be visited before node22\nnode 29 should be visited before node6\nnode 29 should be visited before node23\nnode 29 should be visited before node16\nnode 29 should be visited before node27\nnode 29 should be visited before node5\nnode 29 should be visited before node24\nnode 29 should be visited before node8\nnode 29 should be visited before node11\nnode 29 should be visited before node25\nnode 29 should be visited before node7\nnode 29 should be visited before node1\nnode 29 should be visited before node20\nnode 29 should be visited before node17\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,10,2,21,29,6,23,16,4,28,18,27,14,5,19,24,8,15,12,26,11,25,3,0,7,20,1,22,13,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph336",
        "image": "data/topology/graph_visual/hard/graph336.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node1\nnode 0 should be visited before node5\nnode 0 should be visited before node7\nnode 0 should be visited before node13\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 0 should be visited before node18\nnode 0 should be visited before node19\nnode 1 should be visited before node21\nnode 1 should be visited before node10\nnode 1 should be visited before node23\nnode 1 should be visited before node25\nnode 2 should be visited before node13\nnode 2 should be visited before node9\nnode 2 should be visited before node18\nnode 2 should be visited before node19\nnode 3 should be visited before node14\nnode 3 should be visited before node15\nnode 3 should be visited before node27\nnode 3 should be visited before node0\nnode 3 should be visited before node20\nnode 3 should be visited before node1\nnode 3 should be visited before node21\nnode 3 should be visited before node9\nnode 3 should be visited before node25\nnode 3 should be visited before node6\nnode 3 should be visited before node11\nnode 3 should be visited before node19\nnode 4 should be visited before node3\nnode 4 should be visited before node27\nnode 4 should be visited before node17\nnode 4 should be visited before node0\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 4 should be visited before node23\nnode 4 should be visited before node13\nnode 4 should be visited before node9\nnode 4 should be visited before node25\nnode 4 should be visited before node18\nnode 5 should be visited before node21\nnode 5 should be visited before node23\nnode 5 should be visited before node13\nnode 5 should be visited before node25\nnode 5 should be visited before node6\nnode 5 should be visited before node11\nnode 5 should be visited before node19\nnode 6 should be visited before node11\nnode 6 should be visited before node19\nnode 7 should be visited before node21\nnode 7 should be visited before node23\nnode 7 should be visited before node9\nnode 7 should be visited before node25\nnode 7 should be visited before node6\nnode 7 should be visited before node16\nnode 8 should be visited before node15\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node21\nnode 8 should be visited before node10\nnode 8 should be visited before node2\nnode 8 should be visited before node13\nnode 8 should be visited before node25\nnode 8 should be visited before node11\nnode 8 should be visited before node19\nnode 9 should be visited before node25\nnode 9 should be visited before node11\nnode 9 should be visited before node16\nnode 9 should be visited before node18\nnode 9 should be visited before node19\nnode 10 should be visited before node23\nnode 10 should be visited before node13\nnode 10 should be visited before node11\nnode 10 should be visited before node16\nnode 10 should be visited before node19\nnode 11 should be visited before node16\nnode 12 should be visited before node26\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 12 should be visited before node7\nnode 12 should be visited before node21\nnode 12 should be visited before node10\nnode 12 should be visited before node23\nnode 12 should be visited before node13\nnode 12 should be visited before node11\nnode 12 should be visited before node18\nnode 12 should be visited before node19\nnode 13 should be visited before node9\nnode 13 should be visited before node25\nnode 13 should be visited before node11\nnode 13 should be visited before node16\nnode 13 should be visited before node19\nnode 14 should be visited before node15\nnode 14 should be visited before node27\nnode 14 should be visited before node17\nnode 14 should be visited before node0\nnode 14 should be visited before node1\nnode 14 should be visited before node5\nnode 14 should be visited before node10\nnode 14 should be visited before node13\nnode 14 should be visited before node25\nnode 14 should be visited before node11\nnode 14 should be visited before node18\nnode 14 should be visited before node19\nnode 15 should be visited before node27\nnode 15 should be visited before node17\nnode 15 should be visited before node0\nnode 15 should be visited before node7\nnode 15 should be visited before node21\nnode 15 should be visited before node10\nnode 15 should be visited before node2\nnode 15 should be visited before node25\nnode 15 should be visited before node6\nnode 15 should be visited before node11\nnode 15 should be visited before node18\nnode 17 should be visited before node20\nnode 17 should be visited before node1\nnode 17 should be visited before node7\nnode 17 should be visited before node21\nnode 17 should be visited before node6\nnode 17 should be visited before node19\nnode 20 should be visited before node5\nnode 20 should be visited before node21\nnode 20 should be visited before node10\nnode 20 should be visited before node2\nnode 20 should be visited before node23\nnode 20 should be visited before node11\nnode 21 should be visited before node10\nnode 21 should be visited before node13\nnode 21 should be visited before node25\nnode 21 should be visited before node16\nnode 21 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node12\nnode 22 should be visited before node26\nnode 22 should be visited before node3\nnode 22 should be visited before node14\nnode 22 should be visited before node15\nnode 22 should be visited before node20\nnode 22 should be visited before node7\nnode 22 should be visited before node10\nnode 22 should be visited before node23\nnode 22 should be visited before node13\nnode 22 should be visited before node9\nnode 22 should be visited before node18\nnode 23 should be visited before node13\nnode 23 should be visited before node9\nnode 23 should be visited before node25\nnode 23 should be visited before node6\nnode 23 should be visited before node16\nnode 23 should be visited before node18\nnode 24 should be visited before node22\nnode 24 should be visited before node3\nnode 24 should be visited before node14\nnode 24 should be visited before node15\nnode 24 should be visited before node0\nnode 24 should be visited before node5\nnode 24 should be visited before node21\nnode 24 should be visited before node2\nnode 24 should be visited before node23\nnode 24 should be visited before node13\nnode 24 should be visited before node9\nnode 24 should be visited before node25\nnode 24 should be visited before node19\nnode 25 should be visited before node18\nnode 26 should be visited before node17\nnode 26 should be visited before node1\nnode 26 should be visited before node7\nnode 26 should be visited before node9\nnode 26 should be visited before node11\nnode 27 should be visited before node17\nnode 27 should be visited before node0\nnode 27 should be visited before node1\nnode 27 should be visited before node7\nnode 27 should be visited before node2\nnode 27 should be visited before node13\nnode 27 should be visited before node9\nnode 27 should be visited before node11\nnode 27 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,24,22,4,12,3,26,14,15,27,17,0,20,1,7,5,2,21,10,23,13,6,9,25,11,19,18,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph296",
        "image": "data/topology/graph_visual/hard/graph296.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node16\nnode 0 should be visited before node25\nnode 0 should be visited before node4\nnode 0 should be visited before node19\nnode 0 should be visited before node22\nnode 1 should be visited before node26\nnode 1 should be visited before node9\nnode 1 should be visited before node22\nnode 1 should be visited before node17\nnode 2 should be visited before node26\nnode 2 should be visited before node25\nnode 2 should be visited before node13\nnode 3 should be visited before node1\nnode 3 should be visited before node11\nnode 3 should be visited before node4\nnode 3 should be visited before node19\nnode 3 should be visited before node17\nnode 5 should be visited before node0\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node22\nnode 6 should be visited before node14\nnode 6 should be visited before node4\nnode 6 should be visited before node13\nnode 6 should be visited before node19\nnode 6 should be visited before node17\nnode 7 should be visited before node21\nnode 7 should be visited before node12\nnode 7 should be visited before node8\nnode 7 should be visited before node14\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node16\nnode 7 should be visited before node20\nnode 8 should be visited before node6\nnode 8 should be visited before node5\nnode 8 should be visited before node23\nnode 8 should be visited before node16\nnode 8 should be visited before node25\nnode 8 should be visited before node10\nnode 8 should be visited before node9\nnode 8 should be visited before node17\nnode 10 should be visited before node9\nnode 10 should be visited before node13\nnode 10 should be visited before node19\nnode 11 should be visited before node26\nnode 11 should be visited before node25\nnode 11 should be visited before node20\nnode 11 should be visited before node4\nnode 11 should be visited before node10\nnode 12 should be visited before node6\nnode 12 should be visited before node0\nnode 12 should be visited before node25\nnode 12 should be visited before node22\nnode 13 should be visited before node17\nnode 14 should be visited before node18\nnode 14 should be visited before node15\nnode 14 should be visited before node16\nnode 14 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node22\nnode 15 should be visited before node2\nnode 15 should be visited before node4\nnode 15 should be visited before node13\nnode 16 should be visited before node25\nnode 16 should be visited before node10\nnode 18 should be visited before node15\nnode 18 should be visited before node3\nnode 18 should be visited before node16\nnode 18 should be visited before node1\nnode 18 should be visited before node25\nnode 18 should be visited before node19\nnode 18 should be visited before node17\nnode 19 should be visited before node17\nnode 20 should be visited before node9\nnode 20 should be visited before node22\nnode 21 should be visited before node23\nnode 21 should be visited before node0\nnode 21 should be visited before node18\nnode 21 should be visited before node25\nnode 21 should be visited before node20\nnode 23 should be visited before node16\nnode 23 should be visited before node11\nnode 23 should be visited before node20\nnode 23 should be visited before node9\nnode 24 should be visited before node6\nnode 24 should be visited before node5\nnode 24 should be visited before node3\nnode 24 should be visited before node2\nnode 24 should be visited before node11\nnode 24 should be visited before node4\nnode 24 should be visited before node13\nnode 24 should be visited before node19\nnode 25 should be visited before node20\nnode 25 should be visited before node17\nnode 26 should be visited before node10\nnode 26 should be visited before node9\nnode 26 should be visited before node19\nnode 27 should be visited before node23\nnode 27 should be visited before node0\nnode 27 should be visited before node18\nnode 27 should be visited before node15\nnode 27 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,24,27,21,12,8,6,5,23,14,0,18,15,3,16,2,1,11,26,25,4,10,20,13,19,9,22,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph385",
        "image": "data/topology/graph_visual/hard/graph385.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node2\nnode 1 should be visited before node28\nnode 1 should be visited before node19\nnode 1 should be visited before node7\nnode 1 should be visited before node24\nnode 1 should be visited before node2\nnode 3 should be visited before node9\nnode 3 should be visited before node10\nnode 3 should be visited before node24\nnode 4 should be visited before node6\nnode 4 should be visited before node14\nnode 4 should be visited before node21\nnode 4 should be visited before node8\nnode 4 should be visited before node18\nnode 4 should be visited before node20\nnode 4 should be visited before node0\nnode 4 should be visited before node9\nnode 5 should be visited before node0\nnode 6 should be visited before node21\nnode 6 should be visited before node28\nnode 6 should be visited before node26\nnode 6 should be visited before node18\nnode 6 should be visited before node7\nnode 6 should be visited before node3\nnode 6 should be visited before node9\nnode 7 should be visited before node22\nnode 8 should be visited before node20\nnode 8 should be visited before node22\nnode 8 should be visited before node10\nnode 8 should be visited before node24\nnode 9 should be visited before node10\nnode 10 should be visited before node25\nnode 11 should be visited before node4\nnode 11 should be visited before node21\nnode 11 should be visited before node8\nnode 11 should be visited before node18\nnode 11 should be visited before node12\nnode 11 should be visited before node3\nnode 11 should be visited before node27\nnode 11 should be visited before node23\nnode 11 should be visited before node10\nnode 11 should be visited before node24\nnode 11 should be visited before node25\nnode 12 should be visited before node10\nnode 13 should be visited before node1\nnode 13 should be visited before node21\nnode 13 should be visited before node26\nnode 13 should be visited before node0\nnode 13 should be visited before node24\nnode 13 should be visited before node25\nnode 14 should be visited before node3\nnode 14 should be visited before node27\nnode 14 should be visited before node10\nnode 14 should be visited before node2\nnode 15 should be visited before node24\nnode 15 should be visited before node25\nnode 16 should be visited before node4\nnode 16 should be visited before node6\nnode 16 should be visited before node14\nnode 16 should be visited before node28\nnode 16 should be visited before node12\nnode 16 should be visited before node0\nnode 16 should be visited before node15\nnode 16 should be visited before node24\nnode 17 should be visited before node13\nnode 17 should be visited before node1\nnode 17 should be visited before node11\nnode 17 should be visited before node4\nnode 17 should be visited before node6\nnode 17 should be visited before node21\nnode 17 should be visited before node28\nnode 17 should be visited before node0\nnode 17 should be visited before node15\nnode 17 should be visited before node23\nnode 18 should be visited before node7\nnode 18 should be visited before node3\nnode 18 should be visited before node2\nnode 19 should be visited before node20\nnode 19 should be visited before node12\nnode 19 should be visited before node7\nnode 19 should be visited before node3\nnode 19 should be visited before node23\nnode 19 should be visited before node9\nnode 19 should be visited before node10\nnode 19 should be visited before node24\nnode 20 should be visited before node7\nnode 20 should be visited before node3\nnode 20 should be visited before node27\nnode 20 should be visited before node22\nnode 20 should be visited before node24\nnode 21 should be visited before node28\nnode 21 should be visited before node26\nnode 21 should be visited before node19\nnode 21 should be visited before node8\nnode 21 should be visited before node5\nnode 21 should be visited before node18\nnode 21 should be visited before node20\nnode 21 should be visited before node7\nnode 21 should be visited before node0\nnode 21 should be visited before node15\nnode 23 should be visited before node9\nnode 23 should be visited before node24\nnode 23 should be visited before node25\nnode 24 should be visited before node25\nnode 24 should be visited before node2\nnode 26 should be visited before node19\nnode 26 should be visited before node8\nnode 26 should be visited before node20\nnode 26 should be visited before node12\nnode 26 should be visited before node3\nnode 26 should be visited before node15\nnode 26 should be visited before node9\nnode 26 should be visited before node10\nnode 26 should be visited before node24\nnode 26 should be visited before node25\nnode 27 should be visited before node22\nnode 27 should be visited before node10\nnode 27 should be visited before node25\nnode 27 should be visited before node2\nnode 28 should be visited before node26\nnode 28 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "16,17,13,11,1,4,6,14,21,28,18,26,5,19,8,15,0,12,23,20,7,3,27,9,24,22,10,2,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph62",
        "image": "data/topology/graph_visual/hard/graph62.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node2\nnode 0 should be visited before node7\nnode 0 should be visited before node12\nnode 0 should be visited before node16\nnode 0 should be visited before node11\nnode 0 should be visited before node20\nnode 0 should be visited before node22\nnode 0 should be visited before node14\nnode 0 should be visited before node4\nnode 0 should be visited before node15\nnode 0 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node8\nnode 1 should be visited before node10\nnode 1 should be visited before node25\nnode 1 should be visited before node4\nnode 1 should be visited before node15\nnode 1 should be visited before node13\nnode 1 should be visited before node5\nnode 1 should be visited before node3\nnode 2 should be visited before node17\nnode 2 should be visited before node7\nnode 2 should be visited before node18\nnode 2 should be visited before node1\nnode 2 should be visited before node22\nnode 2 should be visited before node15\nnode 4 should be visited before node13\nnode 4 should be visited before node5\nnode 5 should be visited before node3\nnode 6 should be visited before node17\nnode 6 should be visited before node7\nnode 6 should be visited before node18\nnode 6 should be visited before node11\nnode 6 should be visited before node22\nnode 6 should be visited before node15\nnode 6 should be visited before node13\nnode 6 should be visited before node5\nnode 6 should be visited before node3\nnode 7 should be visited before node18\nnode 7 should be visited before node20\nnode 7 should be visited before node14\nnode 7 should be visited before node24\nnode 7 should be visited before node8\nnode 7 should be visited before node10\nnode 7 should be visited before node9\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node3\nnode 8 should be visited before node25\nnode 8 should be visited before node13\nnode 8 should be visited before node5\nnode 8 should be visited before node3\nnode 9 should be visited before node13\nnode 10 should be visited before node15\nnode 10 should be visited before node5\nnode 11 should be visited before node20\nnode 11 should be visited before node22\nnode 11 should be visited before node19\nnode 11 should be visited before node24\nnode 11 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node9\nnode 11 should be visited before node15\nnode 11 should be visited before node13\nnode 11 should be visited before node3\nnode 12 should be visited before node19\nnode 12 should be visited before node8\nnode 12 should be visited before node9\nnode 13 should be visited before node5\nnode 14 should be visited before node4\nnode 14 should be visited before node15\nnode 14 should be visited before node5\nnode 14 should be visited before node3\nnode 15 should be visited before node13\nnode 16 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node25\nnode 16 should be visited before node4\nnode 16 should be visited before node15\nnode 16 should be visited before node5\nnode 16 should be visited before node3\nnode 17 should be visited before node7\nnode 17 should be visited before node12\nnode 17 should be visited before node16\nnode 17 should be visited before node18\nnode 17 should be visited before node1\nnode 17 should be visited before node20\nnode 17 should be visited before node22\nnode 17 should be visited before node14\nnode 17 should be visited before node8\nnode 17 should be visited before node10\nnode 17 should be visited before node5\nnode 17 should be visited before node3\nnode 18 should be visited before node1\nnode 18 should be visited before node11\nnode 18 should be visited before node20\nnode 18 should be visited before node14\nnode 18 should be visited before node24\nnode 18 should be visited before node10\nnode 18 should be visited before node3\nnode 19 should be visited before node14\nnode 19 should be visited before node24\nnode 19 should be visited before node15\nnode 19 should be visited before node3\nnode 20 should be visited before node22\nnode 20 should be visited before node14\nnode 20 should be visited before node4\nnode 20 should be visited before node3\nnode 21 should be visited before node7\nnode 21 should be visited before node12\nnode 21 should be visited before node11\nnode 21 should be visited before node19\nnode 21 should be visited before node14\nnode 21 should be visited before node24\nnode 21 should be visited before node9\nnode 21 should be visited before node15\nnode 21 should be visited before node13\nnode 21 should be visited before node3\nnode 22 should be visited before node19\nnode 22 should be visited before node4\nnode 22 should be visited before node15\nnode 22 should be visited before node5\nnode 23 should be visited before node21\nnode 23 should be visited before node2\nnode 23 should be visited before node7\nnode 23 should be visited before node1\nnode 23 should be visited before node11\nnode 23 should be visited before node20\nnode 23 should be visited before node22\nnode 23 should be visited before node19\nnode 23 should be visited before node24\nnode 23 should be visited before node8\nnode 23 should be visited before node10\nnode 23 should be visited before node4\nnode 23 should be visited before node15\nnode 23 should be visited before node13\nnode 23 should be visited before node5\nnode 24 should be visited before node9\nnode 24 should be visited before node25\nnode 24 should be visited before node4\nnode 24 should be visited before node15\nnode 24 should be visited before node5\nnode 25 should be visited before node4\nnode 25 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,6,23,21,2,17,7,12,16,18,1,11,20,8,10,22,19,14,24,9,25,15,4,13,5,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph543",
        "image": "data/topology/graph_visual/hard/graph543.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node18\nnode 0 should be visited before node8\nnode 0 should be visited before node14\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node12\nnode 0 should be visited before node23\nnode 0 should be visited before node25\nnode 0 should be visited before node26\nnode 0 should be visited before node10\nnode 1 should be visited before node20\nnode 1 should be visited before node24\nnode 1 should be visited before node13\nnode 1 should be visited before node3\nnode 1 should be visited before node27\nnode 1 should be visited before node29\nnode 1 should be visited before node8\nnode 1 should be visited before node14\nnode 1 should be visited before node28\nnode 1 should be visited before node7\nnode 1 should be visited before node6\nnode 1 should be visited before node11\nnode 1 should be visited before node21\nnode 1 should be visited before node23\nnode 1 should be visited before node16\nnode 2 should be visited before node12\nnode 2 should be visited before node23\nnode 2 should be visited before node15\nnode 2 should be visited before node22\nnode 2 should be visited before node10\nnode 3 should be visited before node0\nnode 3 should be visited before node14\nnode 3 should be visited before node7\nnode 3 should be visited before node23\nnode 3 should be visited before node25\nnode 3 should be visited before node26\nnode 3 should be visited before node16\nnode 4 should be visited before node24\nnode 4 should be visited before node13\nnode 4 should be visited before node3\nnode 4 should be visited before node27\nnode 4 should be visited before node29\nnode 4 should be visited before node8\nnode 4 should be visited before node19\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node6\nnode 4 should be visited before node11\nnode 4 should be visited before node12\nnode 4 should be visited before node26\nnode 4 should be visited before node22\nnode 4 should be visited before node16\nnode 5 should be visited before node1\nnode 5 should be visited before node24\nnode 5 should be visited before node13\nnode 5 should be visited before node3\nnode 5 should be visited before node27\nnode 5 should be visited before node29\nnode 5 should be visited before node18\nnode 5 should be visited before node9\nnode 5 should be visited before node7\nnode 5 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node26\nnode 5 should be visited before node22\nnode 6 should be visited before node21\nnode 6 should be visited before node22\nnode 7 should be visited before node21\nnode 7 should be visited before node15\nnode 7 should be visited before node25\nnode 7 should be visited before node26\nnode 7 should be visited before node10\nnode 7 should be visited before node16\nnode 8 should be visited before node14\nnode 8 should be visited before node21\nnode 8 should be visited before node2\nnode 8 should be visited before node25\nnode 8 should be visited before node16\nnode 9 should be visited before node28\nnode 9 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node2\nnode 9 should be visited before node23\nnode 10 should be visited before node16\nnode 11 should be visited before node25\nnode 11 should be visited before node26\nnode 11 should be visited before node22\nnode 11 should be visited before node10\nnode 11 should be visited before node16\nnode 12 should be visited before node25\nnode 12 should be visited before node26\nnode 12 should be visited before node16\nnode 13 should be visited before node27\nnode 13 should be visited before node18\nnode 13 should be visited before node8\nnode 13 should be visited before node19\nnode 13 should be visited before node25\nnode 13 should be visited before node26\nnode 13 should be visited before node22\nnode 13 should be visited before node10\nnode 14 should be visited before node19\nnode 14 should be visited before node28\nnode 14 should be visited before node6\nnode 14 should be visited before node2\nnode 14 should be visited before node15\nnode 14 should be visited before node25\nnode 14 should be visited before node26\nnode 14 should be visited before node22\nnode 15 should be visited before node26\nnode 15 should be visited before node22\nnode 17 should be visited before node20\nnode 17 should be visited before node3\nnode 17 should be visited before node0\nnode 17 should be visited before node18\nnode 17 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node9\nnode 17 should be visited before node28\nnode 17 should be visited before node6\nnode 17 should be visited before node23\nnode 17 should be visited before node25\nnode 17 should be visited before node10\nnode 17 should be visited before node16\nnode 18 should be visited before node8\nnode 18 should be visited before node14\nnode 18 should be visited before node19\nnode 18 should be visited before node9\nnode 18 should be visited before node11\nnode 18 should be visited before node21\nnode 18 should be visited before node2\nnode 18 should be visited before node12\nnode 18 should be visited before node23\nnode 18 should be visited before node15\nnode 18 should be visited before node25\nnode 18 should be visited before node26\nnode 18 should be visited before node22\nnode 18 should be visited before node10\nnode 19 should be visited before node9\nnode 19 should be visited before node28\nnode 19 should be visited before node21\nnode 19 should be visited before node2\nnode 19 should be visited before node12\nnode 19 should be visited before node23\nnode 19 should be visited before node15\nnode 19 should be visited before node25\nnode 19 should be visited before node26\nnode 19 should be visited before node22\nnode 20 should be visited before node24\nnode 20 should be visited before node13\nnode 20 should be visited before node3\nnode 20 should be visited before node29\nnode 20 should be visited before node9\nnode 20 should be visited before node28\nnode 20 should be visited before node7\nnode 20 should be visited before node6\nnode 20 should be visited before node11\nnode 20 should be visited before node2\nnode 20 should be visited before node12\nnode 20 should be visited before node23\nnode 20 should be visited before node25\nnode 20 should be visited before node26\nnode 20 should be visited before node22\nnode 20 should be visited before node16\nnode 21 should be visited before node2\nnode 21 should be visited before node12\nnode 21 should be visited before node23\nnode 21 should be visited before node25\nnode 21 should be visited before node10\nnode 22 should be visited before node16\nnode 23 should be visited before node25\nnode 23 should be visited before node22\nnode 24 should be visited before node13\nnode 24 should be visited before node3\nnode 24 should be visited before node27\nnode 24 should be visited before node0\nnode 24 should be visited before node14\nnode 24 should be visited before node19\nnode 24 should be visited before node7\nnode 24 should be visited before node2\nnode 24 should be visited before node12\nnode 24 should be visited before node15\nnode 24 should be visited before node25\nnode 24 should be visited before node26\nnode 24 should be visited before node10\nnode 24 should be visited before node16\nnode 25 should be visited before node10\nnode 26 should be visited before node10\nnode 27 should be visited before node18\nnode 27 should be visited before node19\nnode 27 should be visited before node9\nnode 27 should be visited before node28\nnode 27 should be visited before node7\nnode 27 should be visited before node6\nnode 27 should be visited before node11\nnode 27 should be visited before node21\nnode 27 should be visited before node15\nnode 27 should be visited before node25\nnode 27 should be visited before node22\nnode 27 should be visited before node10\nnode 27 should be visited before node16\nnode 28 should be visited before node2\nnode 28 should be visited before node12\nnode 28 should be visited before node25\nnode 28 should be visited before node22\nnode 28 should be visited before node10\nnode 29 should be visited before node19\nnode 29 should be visited before node7\nnode 29 should be visited before node11\nnode 29 should be visited before node12\nnode 29 should be visited before node23\nnode 29 should be visited before node15\nnode 29 should be visited before node26\nnode 29 should be visited before node22\nnode 29 should be visited before node10\nnode 29 should be visited before node16\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,17,1,20,24,29,13,3,27,0,18,8,14,19,9,28,7,6,11,21,2,12,23,15,25,26,22,10,16."
            }
        ]
    },
    {
        "id": "topology-hard-graph358",
        "image": "data/topology/graph_visual/hard/graph358.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node24\nnode 0 should be visited before node8\nnode 1 should be visited before node6\nnode 1 should be visited before node21\nnode 1 should be visited before node12\nnode 1 should be visited before node17\nnode 1 should be visited before node0\nnode 1 should be visited before node24\nnode 2 should be visited before node20\nnode 2 should be visited before node19\nnode 2 should be visited before node13\nnode 2 should be visited before node21\nnode 2 should be visited before node12\nnode 2 should be visited before node17\nnode 2 should be visited before node3\nnode 2 should be visited before node0\nnode 2 should be visited before node24\nnode 2 should be visited before node18\nnode 3 should be visited before node0\nnode 3 should be visited before node26\nnode 3 should be visited before node24\nnode 3 should be visited before node18\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 4 should be visited before node23\nnode 4 should be visited before node7\nnode 4 should be visited before node2\nnode 4 should be visited before node20\nnode 4 should be visited before node19\nnode 4 should be visited before node16\nnode 4 should be visited before node9\nnode 4 should be visited before node5\nnode 4 should be visited before node26\nnode 5 should be visited before node26\nnode 6 should be visited before node21\nnode 6 should be visited before node12\nnode 6 should be visited before node17\nnode 6 should be visited before node0\nnode 6 should be visited before node18\nnode 7 should be visited before node10\nnode 7 should be visited before node22\nnode 7 should be visited before node2\nnode 7 should be visited before node19\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node3\nnode 7 should be visited before node26\nnode 7 should be visited before node24\nnode 7 should be visited before node8\nnode 7 should be visited before node18\nnode 9 should be visited before node1\nnode 9 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node0\nnode 10 should be visited before node20\nnode 10 should be visited before node19\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node13\nnode 10 should be visited before node1\nnode 10 should be visited before node6\nnode 10 should be visited before node21\nnode 10 should be visited before node12\nnode 10 should be visited before node3\nnode 10 should be visited before node0\nnode 10 should be visited before node26\nnode 10 should be visited before node24\nnode 10 should be visited before node18\nnode 11 should be visited before node25\nnode 11 should be visited before node7\nnode 11 should be visited before node22\nnode 11 should be visited before node2\nnode 11 should be visited before node13\nnode 11 should be visited before node17\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 11 should be visited before node24\nnode 11 should be visited before node8\nnode 11 should be visited before node18\nnode 12 should be visited before node17\nnode 12 should be visited before node5\nnode 12 should be visited before node18\nnode 13 should be visited before node1\nnode 13 should be visited before node21\nnode 13 should be visited before node12\nnode 13 should be visited before node3\nnode 13 should be visited before node0\nnode 13 should be visited before node26\nnode 13 should be visited before node24\nnode 13 should be visited before node8\nnode 13 should be visited before node18\nnode 14 should be visited before node10\nnode 14 should be visited before node22\nnode 14 should be visited before node2\nnode 14 should be visited before node20\nnode 14 should be visited before node19\nnode 14 should be visited before node9\nnode 14 should be visited before node13\nnode 14 should be visited before node1\nnode 14 should be visited before node21\nnode 14 should be visited before node5\nnode 14 should be visited before node0\nnode 14 should be visited before node26\nnode 14 should be visited before node24\nnode 14 should be visited before node8\nnode 15 should be visited before node25\nnode 15 should be visited before node23\nnode 15 should be visited before node14\nnode 15 should be visited before node7\nnode 15 should be visited before node20\nnode 15 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node17\nnode 15 should be visited before node3\nnode 15 should be visited before node0\nnode 15 should be visited before node26\nnode 15 should be visited before node24\nnode 15 should be visited before node18\nnode 16 should be visited before node1\nnode 16 should be visited before node0\nnode 16 should be visited before node24\nnode 16 should be visited before node8\nnode 17 should be visited before node24\nnode 17 should be visited before node18\nnode 19 should be visited before node21\nnode 19 should be visited before node12\nnode 19 should be visited before node17\nnode 19 should be visited before node5\nnode 19 should be visited before node26\nnode 19 should be visited before node18\nnode 20 should be visited before node16\nnode 20 should be visited before node9\nnode 20 should be visited before node13\nnode 20 should be visited before node6\nnode 20 should be visited before node17\nnode 20 should be visited before node3\nnode 20 should be visited before node18\nnode 21 should be visited before node12\nnode 21 should be visited before node17\nnode 21 should be visited before node3\nnode 21 should be visited before node0\nnode 21 should be visited before node26\nnode 21 should be visited before node24\nnode 21 should be visited before node8\nnode 22 should be visited before node20\nnode 22 should be visited before node19\nnode 22 should be visited before node1\nnode 22 should be visited before node21\nnode 22 should be visited before node5\nnode 22 should be visited before node26\nnode 23 should be visited before node20\nnode 23 should be visited before node16\nnode 23 should be visited before node13\nnode 23 should be visited before node1\nnode 23 should be visited before node6\nnode 23 should be visited before node5\nnode 23 should be visited before node3\nnode 23 should be visited before node0\nnode 23 should be visited before node26\nnode 23 should be visited before node8\nnode 25 should be visited before node14\nnode 25 should be visited before node7\nnode 25 should be visited before node10\nnode 25 should be visited before node22\nnode 25 should be visited before node2\nnode 25 should be visited before node20\nnode 25 should be visited before node19\nnode 25 should be visited before node16\nnode 25 should be visited before node13\nnode 25 should be visited before node6\nnode 25 should be visited before node21\nnode 25 should be visited before node3\nnode 25 should be visited before node26\nnode 25 should be visited before node24\nnode 25 should be visited before node8\nnode 27 should be visited before node15\nnode 27 should be visited before node22\nnode 27 should be visited before node2\nnode 27 should be visited before node19\nnode 27 should be visited before node9\nnode 27 should be visited before node12\nnode 27 should be visited before node5\nnode 27 should be visited before node0\nnode 27 should be visited before node26\nnode 27 should be visited before node8\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,27,11,15,25,23,14,7,10,22,2,20,19,16,9,13,1,6,21,12,3,17,5,0,18,26,24,8."
            }
        ]
    },
    {
        "id": "topology-hard-graph210",
        "image": "data/topology/graph_visual/hard/graph210.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node10\nnode 0 should be visited before node7\nnode 1 should be visited before node0\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 2 should be visited before node6\nnode 2 should be visited before node16\nnode 2 should be visited before node20\nnode 2 should be visited before node1\nnode 2 should be visited before node10\nnode 2 should be visited before node13\nnode 3 should be visited before node26\nnode 3 should be visited before node4\nnode 3 should be visited before node21\nnode 3 should be visited before node8\nnode 3 should be visited before node25\nnode 3 should be visited before node17\nnode 3 should be visited before node14\nnode 3 should be visited before node22\nnode 3 should be visited before node19\nnode 3 should be visited before node16\nnode 3 should be visited before node20\nnode 3 should be visited before node1\nnode 3 should be visited before node0\nnode 3 should be visited before node10\nnode 3 should be visited before node13\nnode 4 should be visited before node25\nnode 4 should be visited before node24\nnode 4 should be visited before node6\nnode 4 should be visited before node16\nnode 4 should be visited before node1\nnode 4 should be visited before node0\nnode 4 should be visited before node10\nnode 5 should be visited before node18\nnode 5 should be visited before node21\nnode 5 should be visited before node12\nnode 5 should be visited before node14\nnode 5 should be visited before node22\nnode 5 should be visited before node6\nnode 5 should be visited before node15\nnode 5 should be visited before node20\nnode 5 should be visited before node7\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node9\nnode 6 should be visited before node10\nnode 8 should be visited before node17\nnode 8 should be visited before node14\nnode 8 should be visited before node22\nnode 8 should be visited before node2\nnode 8 should be visited before node6\nnode 8 should be visited before node19\nnode 8 should be visited before node16\nnode 8 should be visited before node20\nnode 8 should be visited before node0\nnode 8 should be visited before node9\nnode 8 should be visited before node10\nnode 9 should be visited before node7\nnode 10 should be visited before node7\nnode 11 should be visited before node21\nnode 11 should be visited before node25\nnode 11 should be visited before node12\nnode 11 should be visited before node14\nnode 11 should be visited before node6\nnode 11 should be visited before node7\nnode 11 should be visited before node13\nnode 12 should be visited before node17\nnode 12 should be visited before node22\nnode 12 should be visited before node16\nnode 12 should be visited before node1\nnode 14 should be visited before node24\nnode 14 should be visited before node22\nnode 14 should be visited before node6\nnode 14 should be visited before node15\nnode 14 should be visited before node20\nnode 14 should be visited before node0\nnode 14 should be visited before node7\nnode 15 should be visited before node20\nnode 15 should be visited before node1\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node7\nnode 15 should be visited before node13\nnode 16 should be visited before node15\nnode 16 should be visited before node0\nnode 16 should be visited before node9\nnode 17 should be visited before node14\nnode 17 should be visited before node22\nnode 17 should be visited before node2\nnode 17 should be visited before node16\nnode 17 should be visited before node1\nnode 17 should be visited before node0\nnode 17 should be visited before node9\nnode 17 should be visited before node13\nnode 18 should be visited before node25\nnode 18 should be visited before node14\nnode 18 should be visited before node22\nnode 18 should be visited before node2\nnode 18 should be visited before node19\nnode 18 should be visited before node15\nnode 18 should be visited before node1\nnode 18 should be visited before node0\nnode 18 should be visited before node9\nnode 18 should be visited before node7\nnode 19 should be visited before node20\nnode 19 should be visited before node1\nnode 19 should be visited before node0\nnode 19 should be visited before node9\nnode 19 should be visited before node10\nnode 19 should be visited before node7\nnode 19 should be visited before node13\nnode 20 should be visited before node1\nnode 20 should be visited before node10\nnode 20 should be visited before node7\nnode 20 should be visited before node13\nnode 21 should be visited before node8\nnode 21 should be visited before node25\nnode 21 should be visited before node17\nnode 21 should be visited before node6\nnode 21 should be visited before node16\nnode 21 should be visited before node15\nnode 21 should be visited before node9\nnode 21 should be visited before node13\nnode 22 should be visited before node2\nnode 22 should be visited before node6\nnode 22 should be visited before node16\nnode 22 should be visited before node20\nnode 22 should be visited before node0\nnode 22 should be visited before node10\nnode 22 should be visited before node7\nnode 23 should be visited before node11\nnode 23 should be visited before node12\nnode 23 should be visited before node14\nnode 23 should be visited before node22\nnode 23 should be visited before node19\nnode 23 should be visited before node16\nnode 23 should be visited before node20\nnode 23 should be visited before node13\nnode 24 should be visited before node22\nnode 24 should be visited before node6\nnode 24 should be visited before node19\nnode 24 should be visited before node16\nnode 24 should be visited before node1\nnode 24 should be visited before node0\nnode 24 should be visited before node9\nnode 24 should be visited before node10\nnode 24 should be visited before node13\nnode 25 should be visited before node17\nnode 25 should be visited before node22\nnode 25 should be visited before node2\nnode 25 should be visited before node6\nnode 25 should be visited before node16\nnode 25 should be visited before node15\nnode 25 should be visited before node1\nnode 25 should be visited before node10\nnode 25 should be visited before node7\nnode 25 should be visited before node13\nnode 26 should be visited before node4\nnode 26 should be visited before node18\nnode 26 should be visited before node21\nnode 26 should be visited before node8\nnode 26 should be visited before node12\nnode 26 should be visited before node24\nnode 26 should be visited before node2\nnode 26 should be visited before node19\nnode 26 should be visited before node15\nnode 26 should be visited before node20\nnode 26 should be visited before node0\nnode 26 should be visited before node10\nnode 26 should be visited before node7\nnode 26 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,5,23,26,11,4,18,21,12,8,25,17,14,24,22,19,2,6,16,15,20,9,1,0,13,10,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph95",
        "image": "data/topology/graph_visual/hard/graph95.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node19\nnode 1 should be visited before node9\nnode 1 should be visited before node2\nnode 1 should be visited before node12\nnode 1 should be visited before node6\nnode 1 should be visited before node8\nnode 1 should be visited before node16\nnode 1 should be visited before node19\nnode 2 should be visited before node12\nnode 2 should be visited before node11\nnode 2 should be visited before node8\nnode 2 should be visited before node7\nnode 2 should be visited before node21\nnode 2 should be visited before node16\nnode 2 should be visited before node4\nnode 2 should be visited before node15\nnode 3 should be visited before node13\nnode 3 should be visited before node25\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 3 should be visited before node12\nnode 3 should be visited before node6\nnode 3 should be visited before node8\nnode 3 should be visited before node20\nnode 3 should be visited before node0\nnode 3 should be visited before node4\nnode 3 should be visited before node19\nnode 3 should be visited before node15\nnode 4 should be visited before node19\nnode 5 should be visited before node3\nnode 5 should be visited before node13\nnode 5 should be visited before node25\nnode 5 should be visited before node18\nnode 5 should be visited before node1\nnode 5 should be visited before node10\nnode 5 should be visited before node9\nnode 5 should be visited before node6\nnode 5 should be visited before node14\nnode 5 should be visited before node11\nnode 5 should be visited before node8\nnode 5 should be visited before node22\nnode 5 should be visited before node7\nnode 5 should be visited before node21\nnode 6 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node21\nnode 6 should be visited before node19\nnode 7 should be visited before node21\nnode 7 should be visited before node19\nnode 8 should be visited before node22\nnode 8 should be visited before node20\nnode 8 should be visited before node16\nnode 8 should be visited before node4\nnode 8 should be visited before node15\nnode 9 should be visited before node2\nnode 9 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node8\nnode 9 should be visited before node22\nnode 9 should be visited before node7\nnode 9 should be visited before node16\nnode 9 should be visited before node15\nnode 10 should be visited before node9\nnode 10 should be visited before node2\nnode 10 should be visited before node22\nnode 10 should be visited before node20\nnode 10 should be visited before node21\nnode 10 should be visited before node16\nnode 11 should be visited before node22\nnode 11 should be visited before node20\nnode 11 should be visited before node21\nnode 11 should be visited before node0\nnode 11 should be visited before node19\nnode 11 should be visited before node15\nnode 12 should be visited before node6\nnode 12 should be visited before node22\nnode 12 should be visited before node20\nnode 12 should be visited before node7\nnode 12 should be visited before node16\nnode 12 should be visited before node0\nnode 12 should be visited before node4\nnode 12 should be visited before node15\nnode 13 should be visited before node25\nnode 13 should be visited before node1\nnode 13 should be visited before node10\nnode 13 should be visited before node12\nnode 13 should be visited before node6\nnode 13 should be visited before node11\nnode 13 should be visited before node8\nnode 13 should be visited before node22\nnode 13 should be visited before node20\nnode 13 should be visited before node7\nnode 13 should be visited before node21\nnode 13 should be visited before node19\nnode 13 should be visited before node15\nnode 14 should be visited before node22\nnode 14 should be visited before node20\nnode 14 should be visited before node7\nnode 14 should be visited before node16\nnode 14 should be visited before node19\nnode 17 should be visited before node2\nnode 17 should be visited before node20\nnode 17 should be visited before node7\nnode 17 should be visited before node21\nnode 17 should be visited before node16\nnode 17 should be visited before node0\nnode 17 should be visited before node4\nnode 17 should be visited before node19\nnode 17 should be visited before node15\nnode 18 should be visited before node17\nnode 18 should be visited before node1\nnode 18 should be visited before node9\nnode 18 should be visited before node6\nnode 18 should be visited before node7\nnode 18 should be visited before node21\nnode 18 should be visited before node16\nnode 20 should be visited before node7\nnode 20 should be visited before node21\nnode 20 should be visited before node0\nnode 20 should be visited before node19\nnode 21 should be visited before node0\nnode 21 should be visited before node4\nnode 21 should be visited before node15\nnode 22 should be visited before node4\nnode 22 should be visited before node19\nnode 22 should be visited before node15\nnode 23 should be visited before node3\nnode 23 should be visited before node24\nnode 23 should be visited before node25\nnode 23 should be visited before node18\nnode 23 should be visited before node1\nnode 23 should be visited before node10\nnode 23 should be visited before node9\nnode 23 should be visited before node2\nnode 23 should be visited before node12\nnode 23 should be visited before node11\nnode 23 should be visited before node8\nnode 23 should be visited before node22\nnode 23 should be visited before node20\nnode 23 should be visited before node7\nnode 23 should be visited before node21\nnode 23 should be visited before node0\nnode 23 should be visited before node4\nnode 23 should be visited before node19\nnode 24 should be visited before node25\nnode 24 should be visited before node2\nnode 24 should be visited before node14\nnode 24 should be visited before node8\nnode 24 should be visited before node20\nnode 24 should be visited before node7\nnode 25 should be visited before node18\nnode 25 should be visited before node10\nnode 25 should be visited before node2\nnode 25 should be visited before node14\nnode 25 should be visited before node8\nnode 25 should be visited before node22\nnode 25 should be visited before node20\nnode 25 should be visited before node7\nnode 25 should be visited before node16\nnode 25 should be visited before node0\nnode 25 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "5,23,3,24,13,25,18,10,14,17,1,9,2,12,11,6,8,22,20,16,7,21,0,4,15,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph949",
        "image": "data/topology/graph_visual/hard/graph949.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node30\nnode 0 should be visited before node29\nnode 0 should be visited before node19\nnode 0 should be visited before node12\nnode 0 should be visited before node25\nnode 0 should be visited before node32\nnode 0 should be visited before node3\nnode 0 should be visited before node9\nnode 0 should be visited before node15\nnode 0 should be visited before node21\nnode 0 should be visited before node22\nnode 0 should be visited before node4\nnode 0 should be visited before node17\nnode 0 should be visited before node28\nnode 0 should be visited before node7\nnode 1 should be visited before node26\nnode 1 should be visited before node18\nnode 1 should be visited before node16\nnode 1 should be visited before node9\nnode 1 should be visited before node31\nnode 1 should be visited before node14\nnode 1 should be visited before node24\nnode 1 should be visited before node22\nnode 1 should be visited before node8\nnode 1 should be visited before node17\nnode 2 should be visited before node21\nnode 2 should be visited before node24\nnode 2 should be visited before node8\nnode 2 should be visited before node17\nnode 2 should be visited before node7\nnode 2 should be visited before node5\nnode 3 should be visited before node20\nnode 3 should be visited before node2\nnode 3 should be visited before node15\nnode 3 should be visited before node23\nnode 3 should be visited before node14\nnode 3 should be visited before node21\nnode 3 should be visited before node6\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 3 should be visited before node5\nnode 4 should be visited before node8\nnode 4 should be visited before node17\nnode 4 should be visited before node28\nnode 6 should be visited before node17\nnode 6 should be visited before node28\nnode 8 should be visited before node17\nnode 8 should be visited before node28\nnode 8 should be visited before node7\nnode 9 should be visited before node31\nnode 9 should be visited before node13\nnode 9 should be visited before node11\nnode 9 should be visited before node15\nnode 9 should be visited before node14\nnode 9 should be visited before node21\nnode 9 should be visited before node22\nnode 9 should be visited before node4\nnode 9 should be visited before node6\nnode 9 should be visited before node17\nnode 9 should be visited before node28\nnode 9 should be visited before node5\nnode 10 should be visited before node27\nnode 10 should be visited before node19\nnode 10 should be visited before node25\nnode 10 should be visited before node1\nnode 10 should be visited before node32\nnode 10 should be visited before node13\nnode 10 should be visited before node2\nnode 10 should be visited before node15\nnode 10 should be visited before node14\nnode 10 should be visited before node22\nnode 10 should be visited before node4\nnode 10 should be visited before node28\nnode 10 should be visited before node7\nnode 10 should be visited before node5\nnode 11 should be visited before node20\nnode 11 should be visited before node2\nnode 11 should be visited before node15\nnode 11 should be visited before node23\nnode 11 should be visited before node14\nnode 11 should be visited before node21\nnode 11 should be visited before node4\nnode 11 should be visited before node17\nnode 11 should be visited before node7\nnode 12 should be visited before node32\nnode 12 should be visited before node26\nnode 12 should be visited before node18\nnode 12 should be visited before node3\nnode 12 should be visited before node16\nnode 12 should be visited before node9\nnode 12 should be visited before node31\nnode 12 should be visited before node13\nnode 12 should be visited before node11\nnode 12 should be visited before node2\nnode 12 should be visited before node15\nnode 12 should be visited before node14\nnode 12 should be visited before node21\nnode 12 should be visited before node24\nnode 12 should be visited before node4\nnode 12 should be visited before node6\nnode 12 should be visited before node17\nnode 12 should be visited before node28\nnode 13 should be visited before node14\nnode 13 should be visited before node21\nnode 13 should be visited before node22\nnode 13 should be visited before node28\nnode 13 should be visited before node7\nnode 14 should be visited before node21\nnode 14 should be visited before node4\nnode 14 should be visited before node8\nnode 14 should be visited before node17\nnode 15 should be visited before node23\nnode 15 should be visited before node21\nnode 15 should be visited before node6\nnode 15 should be visited before node28\nnode 16 should be visited before node9\nnode 16 should be visited before node31\nnode 16 should be visited before node20\nnode 16 should be visited before node2\nnode 16 should be visited before node23\nnode 16 should be visited before node14\nnode 16 should be visited before node21\nnode 16 should be visited before node24\nnode 16 should be visited before node22\nnode 16 should be visited before node4\nnode 16 should be visited before node8\nnode 16 should be visited before node17\nnode 16 should be visited before node28\nnode 16 should be visited before node7\nnode 17 should be visited before node5\nnode 18 should be visited before node16\nnode 18 should be visited before node9\nnode 18 should be visited before node31\nnode 18 should be visited before node13\nnode 18 should be visited before node20\nnode 18 should be visited before node14\nnode 18 should be visited before node21\nnode 18 should be visited before node24\nnode 18 should be visited before node4\nnode 18 should be visited before node6\nnode 18 should be visited before node8\nnode 18 should be visited before node17\nnode 18 should be visited before node5\nnode 19 should be visited before node1\nnode 19 should be visited before node26\nnode 19 should be visited before node18\nnode 19 should be visited before node13\nnode 19 should be visited before node20\nnode 19 should be visited before node2\nnode 19 should be visited before node15\nnode 19 should be visited before node23\nnode 19 should be visited before node21\nnode 19 should be visited before node4\nnode 19 should be visited before node6\nnode 19 should be visited before node8\nnode 19 should be visited before node28\nnode 19 should be visited before node7\nnode 20 should be visited before node23\nnode 20 should be visited before node24\nnode 20 should be visited before node4\nnode 20 should be visited before node28\nnode 20 should be visited before node7\nnode 20 should be visited before node5\nnode 21 should be visited before node24\nnode 21 should be visited before node22\nnode 21 should be visited before node4\nnode 21 should be visited before node6\nnode 21 should be visited before node17\nnode 21 should be visited before node7\nnode 21 should be visited before node5\nnode 22 should be visited before node6\nnode 22 should be visited before node8\nnode 22 should be visited before node28\nnode 22 should be visited before node7\nnode 22 should be visited before node5\nnode 23 should be visited before node21\nnode 23 should be visited before node4\nnode 23 should be visited before node8\nnode 23 should be visited before node28\nnode 24 should be visited before node8\nnode 24 should be visited before node17\nnode 24 should be visited before node5\nnode 25 should be visited before node32\nnode 25 should be visited before node26\nnode 25 should be visited before node3\nnode 25 should be visited before node9\nnode 25 should be visited before node31\nnode 25 should be visited before node13\nnode 25 should be visited before node15\nnode 25 should be visited before node23\nnode 25 should be visited before node4\nnode 25 should be visited before node6\nnode 26 should be visited before node18\nnode 26 should be visited before node16\nnode 26 should be visited before node31\nnode 26 should be visited before node11\nnode 26 should be visited before node20\nnode 26 should be visited before node15\nnode 26 should be visited before node14\nnode 26 should be visited before node22\nnode 26 should be visited before node17\nnode 26 should be visited before node28\nnode 26 should be visited before node7\nnode 27 should be visited before node12\nnode 27 should be visited before node25\nnode 27 should be visited before node1\nnode 27 should be visited before node26\nnode 27 should be visited before node18\nnode 27 should be visited before node3\nnode 27 should be visited before node9\nnode 27 should be visited before node13\nnode 27 should be visited before node11\nnode 27 should be visited before node20\nnode 27 should be visited before node2\nnode 27 should be visited before node15\nnode 27 should be visited before node23\nnode 27 should be visited before node14\nnode 27 should be visited before node4\nnode 27 should be visited before node17\nnode 27 should be visited before node5\nnode 28 should be visited before node7\nnode 28 should be visited before node5\nnode 29 should be visited before node19\nnode 29 should be visited before node12\nnode 29 should be visited before node32\nnode 29 should be visited before node26\nnode 29 should be visited before node18\nnode 29 should be visited before node3\nnode 29 should be visited before node31\nnode 29 should be visited before node11\nnode 29 should be visited before node20\nnode 29 should be visited before node15\nnode 29 should be visited before node23\nnode 29 should be visited before node14\nnode 29 should be visited before node21\nnode 29 should be visited before node24\nnode 29 should be visited before node22\nnode 29 should be visited before node6\nnode 29 should be visited before node8\nnode 29 should be visited before node5\nnode 30 should be visited before node29\nnode 30 should be visited before node12\nnode 30 should be visited before node3\nnode 30 should be visited before node9\nnode 30 should be visited before node11\nnode 30 should be visited before node15\nnode 30 should be visited before node23\nnode 30 should be visited before node14\nnode 30 should be visited before node17\nnode 30 should be visited before node28\nnode 30 should be visited before node5\nnode 31 should be visited before node11\nnode 31 should be visited before node15\nnode 31 should be visited before node21\nnode 31 should be visited before node24\nnode 31 should be visited before node4\nnode 31 should be visited before node6\nnode 31 should be visited before node7\nnode 31 should be visited before node5\nnode 32 should be visited before node26\nnode 32 should be visited before node11\nnode 32 should be visited before node23\nnode 32 should be visited before node4\nnode 32 should be visited before node6\nnode 32 should be visited before node8\nnode 32 should be visited before node17\nnode 32 should be visited before node28\nnode 32 should be visited before node7\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,10,30,27,29,25,19,12,1,32,3,26,18,16,9,31,13,11,20,2,15,14,23,21,24,22,4,6,8,17,28,7,5."
            }
        ]
    },
    {
        "id": "topology-hard-graph19",
        "image": "data/topology/graph_visual/hard/graph19.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 26 nodes numbered from 0 to 25:\nnode 0 should be visited before node6\nnode 0 should be visited before node14\nnode 0 should be visited before node13\nnode 0 should be visited before node5\nnode 0 should be visited before node22\nnode 1 should be visited before node19\nnode 1 should be visited before node0\nnode 1 should be visited before node24\nnode 1 should be visited before node16\nnode 1 should be visited before node5\nnode 1 should be visited before node22\nnode 2 should be visited before node6\nnode 2 should be visited before node5\nnode 2 should be visited before node4\nnode 2 should be visited before node22\nnode 2 should be visited before node3\nnode 3 should be visited before node10\nnode 4 should be visited before node22\nnode 5 should be visited before node4\nnode 5 should be visited before node22\nnode 6 should be visited before node24\nnode 6 should be visited before node11\nnode 6 should be visited before node10\nnode 7 should be visited before node25\nnode 7 should be visited before node23\nnode 7 should be visited before node12\nnode 7 should be visited before node0\nnode 7 should be visited before node13\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 8 should be visited before node25\nnode 8 should be visited before node18\nnode 8 should be visited before node19\nnode 8 should be visited before node15\nnode 8 should be visited before node14\nnode 8 should be visited before node13\nnode 8 should be visited before node24\nnode 8 should be visited before node5\nnode 8 should be visited before node4\nnode 8 should be visited before node10\nnode 9 should be visited before node19\nnode 9 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node10\nnode 11 should be visited before node22\nnode 12 should be visited before node19\nnode 12 should be visited before node24\nnode 12 should be visited before node11\nnode 12 should be visited before node3\nnode 13 should be visited before node16\nnode 13 should be visited before node3\nnode 14 should be visited before node24\nnode 14 should be visited before node5\nnode 14 should be visited before node3\nnode 16 should be visited before node3\nnode 17 should be visited before node0\nnode 17 should be visited before node14\nnode 17 should be visited before node13\nnode 17 should be visited before node24\nnode 18 should be visited before node20\nnode 18 should be visited before node19\nnode 18 should be visited before node2\nnode 18 should be visited before node14\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 19 should be visited before node16\nnode 19 should be visited before node5\nnode 20 should be visited before node15\nnode 20 should be visited before node2\nnode 20 should be visited before node6\nnode 20 should be visited before node24\nnode 20 should be visited before node11\nnode 21 should be visited before node20\nnode 21 should be visited before node12\nnode 21 should be visited before node13\nnode 21 should be visited before node3\nnode 23 should be visited before node12\nnode 23 should be visited before node15\nnode 23 should be visited before node13\nnode 23 should be visited before node11\nnode 23 should be visited before node4\nnode 23 should be visited before node22\nnode 24 should be visited before node11\nnode 24 should be visited before node22\nnode 25 should be visited before node18\nnode 25 should be visited before node1\nnode 25 should be visited before node19\nnode 25 should be visited before node14\nnode 25 should be visited before node13\nnode 25 should be visited before node24\nnode 25 should be visited before node5\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,8,9,17,21,23,25,12,18,1,20,19,0,15,2,14,13,6,5,16,24,4,3,11,10,22."
            }
        ]
    },
    {
        "id": "topology-hard-graph405",
        "image": "data/topology/graph_visual/hard/graph405.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 29 nodes numbered from 0 to 28:\nnode 0 should be visited before node19\nnode 0 should be visited before node2\nnode 0 should be visited before node10\nnode 0 should be visited before node17\nnode 1 should be visited before node5\nnode 1 should be visited before node8\nnode 2 should be visited before node15\nnode 2 should be visited before node5\nnode 2 should be visited before node8\nnode 3 should be visited before node7\nnode 3 should be visited before node13\nnode 3 should be visited before node23\nnode 3 should be visited before node27\nnode 3 should be visited before node6\nnode 3 should be visited before node26\nnode 3 should be visited before node4\nnode 3 should be visited before node0\nnode 3 should be visited before node25\nnode 3 should be visited before node12\nnode 3 should be visited before node19\nnode 3 should be visited before node8\nnode 4 should be visited before node0\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 4 should be visited before node17\nnode 6 should be visited before node20\nnode 6 should be visited before node26\nnode 6 should be visited before node12\nnode 6 should be visited before node10\nnode 7 should be visited before node23\nnode 7 should be visited before node21\nnode 7 should be visited before node16\nnode 7 should be visited before node27\nnode 7 should be visited before node6\nnode 7 should be visited before node20\nnode 7 should be visited before node24\nnode 7 should be visited before node26\nnode 7 should be visited before node0\nnode 7 should be visited before node25\nnode 7 should be visited before node2\nnode 7 should be visited before node11\nnode 8 should be visited before node17\nnode 9 should be visited before node18\nnode 9 should be visited before node25\nnode 9 should be visited before node12\nnode 9 should be visited before node15\nnode 9 should be visited before node17\nnode 10 should be visited before node1\nnode 10 should be visited before node17\nnode 11 should be visited before node10\nnode 12 should be visited before node19\nnode 12 should be visited before node15\nnode 12 should be visited before node28\nnode 12 should be visited before node11\nnode 12 should be visited before node1\nnode 12 should be visited before node5\nnode 12 should be visited before node8\nnode 13 should be visited before node9\nnode 13 should be visited before node26\nnode 13 should be visited before node4\nnode 13 should be visited before node12\nnode 13 should be visited before node10\nnode 13 should be visited before node8\nnode 14 should be visited before node26\nnode 14 should be visited before node4\nnode 14 should be visited before node25\nnode 14 should be visited before node2\nnode 14 should be visited before node11\nnode 14 should be visited before node5\nnode 15 should be visited before node28\nnode 15 should be visited before node1\nnode 15 should be visited before node5\nnode 15 should be visited before node8\nnode 15 should be visited before node17\nnode 16 should be visited before node6\nnode 16 should be visited before node24\nnode 16 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node1\nnode 16 should be visited before node5\nnode 18 should be visited before node12\nnode 18 should be visited before node15\nnode 18 should be visited before node28\nnode 19 should be visited before node11\nnode 19 should be visited before node5\nnode 20 should be visited before node4\nnode 20 should be visited before node18\nnode 20 should be visited before node0\nnode 20 should be visited before node25\nnode 20 should be visited before node19\nnode 20 should be visited before node15\nnode 20 should be visited before node8\nnode 21 should be visited before node24\nnode 21 should be visited before node26\nnode 21 should be visited before node19\nnode 21 should be visited before node10\nnode 21 should be visited before node8\nnode 21 should be visited before node17\nnode 22 should be visited before node7\nnode 22 should be visited before node9\nnode 22 should be visited before node28\nnode 22 should be visited before node10\nnode 22 should be visited before node8\nnode 23 should be visited before node9\nnode 23 should be visited before node18\nnode 23 should be visited before node0\nnode 23 should be visited before node15\nnode 23 should be visited before node1\nnode 24 should be visited before node26\nnode 24 should be visited before node19\nnode 24 should be visited before node15\nnode 24 should be visited before node28\nnode 24 should be visited before node11\nnode 24 should be visited before node8\nnode 25 should be visited before node11\nnode 25 should be visited before node10\nnode 25 should be visited before node8\nnode 25 should be visited before node17\nnode 26 should be visited before node12\nnode 26 should be visited before node2\nnode 26 should be visited before node5\nnode 27 should be visited before node6\nnode 27 should be visited before node9\nnode 27 should be visited before node26\nnode 27 should be visited before node0\nnode 27 should be visited before node19\nnode 27 should be visited before node2\nnode 27 should be visited before node15\nnode 27 should be visited before node28\nnode 27 should be visited before node8\nnode 28 should be visited before node11\nnode 28 should be visited before node10\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,14,22,13,7,23,21,16,27,24,6,9,20,26,4,18,25,0,12,2,19,15,28,11,10,1,5,8,17."
            }
        ]
    },
    {
        "id": "topology-hard-graph927",
        "image": "data/topology/graph_visual/hard/graph927.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 33 nodes numbered from 0 to 32:\nnode 0 should be visited before node31\nnode 0 should be visited before node25\nnode 0 should be visited before node32\nnode 0 should be visited before node29\nnode 0 should be visited before node1\nnode 2 should be visited before node17\nnode 2 should be visited before node22\nnode 2 should be visited before node27\nnode 2 should be visited before node31\nnode 2 should be visited before node25\nnode 2 should be visited before node32\nnode 2 should be visited before node29\nnode 3 should be visited before node16\nnode 3 should be visited before node5\nnode 3 should be visited before node15\nnode 3 should be visited before node24\nnode 3 should be visited before node13\nnode 3 should be visited before node10\nnode 3 should be visited before node8\nnode 3 should be visited before node30\nnode 3 should be visited before node4\nnode 3 should be visited before node14\nnode 3 should be visited before node0\nnode 3 should be visited before node29\nnode 3 should be visited before node1\nnode 3 should be visited before node21\nnode 4 should be visited before node14\nnode 4 should be visited before node20\nnode 4 should be visited before node9\nnode 4 should be visited before node22\nnode 4 should be visited before node27\nnode 4 should be visited before node0\nnode 4 should be visited before node31\nnode 4 should be visited before node25\nnode 4 should be visited before node32\nnode 4 should be visited before node29\nnode 4 should be visited before node1\nnode 4 should be visited before node21\nnode 5 should be visited before node13\nnode 5 should be visited before node8\nnode 5 should be visited before node11\nnode 5 should be visited before node4\nnode 5 should be visited before node14\nnode 5 should be visited before node20\nnode 5 should be visited before node9\nnode 5 should be visited before node2\nnode 5 should be visited before node17\nnode 5 should be visited before node23\nnode 5 should be visited before node0\nnode 5 should be visited before node25\nnode 5 should be visited before node32\nnode 6 should be visited before node16\nnode 6 should be visited before node7\nnode 6 should be visited before node15\nnode 6 should be visited before node24\nnode 6 should be visited before node13\nnode 6 should be visited before node10\nnode 6 should be visited before node30\nnode 6 should be visited before node26\nnode 6 should be visited before node9\nnode 6 should be visited before node17\nnode 6 should be visited before node23\nnode 6 should be visited before node0\nnode 6 should be visited before node1\nnode 7 should be visited before node15\nnode 7 should be visited before node24\nnode 7 should be visited before node10\nnode 7 should be visited before node26\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node22\nnode 7 should be visited before node0\nnode 7 should be visited before node25\nnode 7 should be visited before node32\nnode 7 should be visited before node29\nnode 8 should be visited before node30\nnode 8 should be visited before node4\nnode 8 should be visited before node9\nnode 8 should be visited before node2\nnode 8 should be visited before node12\nnode 8 should be visited before node25\nnode 8 should be visited before node1\nnode 9 should be visited before node0\nnode 9 should be visited before node31\nnode 10 should be visited before node26\nnode 10 should be visited before node2\nnode 10 should be visited before node17\nnode 10 should be visited before node12\nnode 10 should be visited before node22\nnode 10 should be visited before node23\nnode 10 should be visited before node27\nnode 10 should be visited before node0\nnode 10 should be visited before node31\nnode 10 should be visited before node32\nnode 10 should be visited before node29\nnode 10 should be visited before node1\nnode 10 should be visited before node21\nnode 11 should be visited before node14\nnode 11 should be visited before node20\nnode 11 should be visited before node26\nnode 11 should be visited before node31\nnode 11 should be visited before node25\nnode 11 should be visited before node29\nnode 11 should be visited before node1\nnode 11 should be visited before node21\nnode 12 should be visited before node22\nnode 12 should be visited before node23\nnode 12 should be visited before node27\nnode 12 should be visited before node1\nnode 12 should be visited before node21\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 13 should be visited before node4\nnode 13 should be visited before node14\nnode 13 should be visited before node20\nnode 13 should be visited before node17\nnode 13 should be visited before node23\nnode 13 should be visited before node32\nnode 14 should be visited before node20\nnode 14 should be visited before node9\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node27\nnode 14 should be visited before node31\nnode 14 should be visited before node32\nnode 15 should be visited before node24\nnode 15 should be visited before node10\nnode 15 should be visited before node30\nnode 15 should be visited before node11\nnode 15 should be visited before node4\nnode 15 should be visited before node14\nnode 15 should be visited before node20\nnode 15 should be visited before node26\nnode 15 should be visited before node9\nnode 15 should be visited before node17\nnode 15 should be visited before node12\nnode 15 should be visited before node23\nnode 15 should be visited before node31\nnode 15 should be visited before node25\nnode 15 should be visited before node32\nnode 15 should be visited before node1\nnode 16 should be visited before node7\nnode 16 should be visited before node18\nnode 16 should be visited before node13\nnode 16 should be visited before node8\nnode 16 should be visited before node30\nnode 16 should be visited before node4\nnode 16 should be visited before node20\nnode 16 should be visited before node2\nnode 16 should be visited before node12\nnode 16 should be visited before node22\nnode 16 should be visited before node0\nnode 16 should be visited before node31\nnode 16 should be visited before node29\nnode 16 should be visited before node1\nnode 17 should be visited before node22\nnode 17 should be visited before node27\nnode 17 should be visited before node31\nnode 17 should be visited before node25\nnode 17 should be visited before node32\nnode 17 should be visited before node21\nnode 18 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node8\nnode 18 should be visited before node30\nnode 18 should be visited before node11\nnode 18 should be visited before node14\nnode 18 should be visited before node20\nnode 18 should be visited before node26\nnode 18 should be visited before node17\nnode 18 should be visited before node12\nnode 18 should be visited before node31\nnode 18 should be visited before node25\nnode 18 should be visited before node32\nnode 18 should be visited before node29\nnode 18 should be visited before node1\nnode 18 should be visited before node21\nnode 19 should be visited before node6\nnode 19 should be visited before node10\nnode 19 should be visited before node30\nnode 19 should be visited before node11\nnode 19 should be visited before node4\nnode 19 should be visited before node17\nnode 19 should be visited before node22\nnode 19 should be visited before node23\nnode 19 should be visited before node27\nnode 19 should be visited before node0\nnode 19 should be visited before node29\nnode 19 should be visited before node21\nnode 20 should be visited before node26\nnode 20 should be visited before node2\nnode 20 should be visited before node27\nnode 20 should be visited before node31\nnode 20 should be visited before node29\nnode 20 should be visited before node1\nnode 22 should be visited before node23\nnode 22 should be visited before node31\nnode 22 should be visited before node1\nnode 22 should be visited before node21\nnode 23 should be visited before node0\nnode 23 should be visited before node31\nnode 23 should be visited before node32\nnode 23 should be visited before node29\nnode 23 should be visited before node21\nnode 24 should be visited before node10\nnode 24 should be visited before node11\nnode 24 should be visited before node4\nnode 24 should be visited before node20\nnode 24 should be visited before node26\nnode 24 should be visited before node9\nnode 24 should be visited before node22\nnode 24 should be visited before node31\nnode 24 should be visited before node32\nnode 24 should be visited before node21\nnode 25 should be visited before node32\nnode 25 should be visited before node29\nnode 26 should be visited before node9\nnode 26 should be visited before node12\nnode 26 should be visited before node22\nnode 26 should be visited before node27\nnode 26 should be visited before node0\nnode 26 should be visited before node25\nnode 26 should be visited before node1\nnode 27 should be visited before node25\nnode 27 should be visited before node29\nnode 27 should be visited before node21\nnode 28 should be visited before node19\nnode 28 should be visited before node6\nnode 28 should be visited before node16\nnode 28 should be visited before node7\nnode 28 should be visited before node18\nnode 28 should be visited before node15\nnode 28 should be visited before node24\nnode 28 should be visited before node13\nnode 28 should be visited before node10\nnode 28 should be visited before node8\nnode 28 should be visited before node9\nnode 28 should be visited before node12\nnode 28 should be visited before node23\nnode 28 should be visited before node0\nnode 28 should be visited before node31\nnode 28 should be visited before node29\nnode 28 should be visited before node21\nnode 29 should be visited before node1\nnode 29 should be visited before node21\nnode 30 should be visited before node11\nnode 30 should be visited before node4\nnode 30 should be visited before node9\nnode 30 should be visited before node17\nnode 30 should be visited before node27\nnode 30 should be visited before node0\nnode 30 should be visited before node25\nnode 30 should be visited before node32\nnode 30 should be visited before node29\nnode 30 should be visited before node21\nnode 31 should be visited before node25\nnode 32 should be visited before node21\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "3,28,5,19,6,16,7,18,15,13,8,24,30,10,11,4,14,20,26,2,9,12,17,22,27,23,0,31,25,32,29,1,21."
            }
        ]
    },
    {
        "id": "topology-hard-graph972",
        "image": "data/topology/graph_visual/hard/graph972.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node28\nnode 0 should be visited before node7\nnode 0 should be visited before node6\nnode 0 should be visited before node12\nnode 0 should be visited before node14\nnode 0 should be visited before node17\nnode 0 should be visited before node29\nnode 0 should be visited before node22\nnode 0 should be visited before node3\nnode 1 should be visited before node23\nnode 1 should be visited before node0\nnode 1 should be visited before node28\nnode 1 should be visited before node7\nnode 1 should be visited before node12\nnode 1 should be visited before node18\nnode 1 should be visited before node10\nnode 1 should be visited before node16\nnode 1 should be visited before node21\nnode 1 should be visited before node20\nnode 1 should be visited before node26\nnode 1 should be visited before node19\nnode 2 should be visited before node13\nnode 2 should be visited before node20\nnode 2 should be visited before node33\nnode 4 should be visited before node31\nnode 4 should be visited before node1\nnode 4 should be visited before node24\nnode 4 should be visited before node11\nnode 4 should be visited before node14\nnode 4 should be visited before node18\nnode 4 should be visited before node16\nnode 4 should be visited before node13\nnode 4 should be visited before node3\nnode 4 should be visited before node20\nnode 5 should be visited before node28\nnode 5 should be visited before node25\nnode 5 should be visited before node15\nnode 5 should be visited before node16\nnode 5 should be visited before node13\nnode 5 should be visited before node20\nnode 5 should be visited before node26\nnode 5 should be visited before node33\nnode 6 should be visited before node25\nnode 6 should be visited before node18\nnode 6 should be visited before node17\nnode 6 should be visited before node29\nnode 6 should be visited before node21\nnode 6 should be visited before node3\nnode 6 should be visited before node26\nnode 6 should be visited before node19\nnode 7 should be visited before node25\nnode 7 should be visited before node20\nnode 7 should be visited before node33\nnode 8 should be visited before node28\nnode 8 should be visited before node17\nnode 8 should be visited before node13\nnode 8 should be visited before node19\nnode 9 should be visited before node7\nnode 9 should be visited before node29\nnode 9 should be visited before node22\nnode 9 should be visited before node27\nnode 9 should be visited before node3\nnode 9 should be visited before node26\nnode 10 should be visited before node32\nnode 10 should be visited before node29\nnode 10 should be visited before node13\nnode 10 should be visited before node21\nnode 10 should be visited before node3\nnode 11 should be visited before node6\nnode 11 should be visited before node12\nnode 11 should be visited before node18\nnode 11 should be visited before node21\nnode 11 should be visited before node3\nnode 12 should be visited before node14\nnode 12 should be visited before node10\nnode 12 should be visited before node29\nnode 12 should be visited before node22\nnode 12 should be visited before node27\nnode 12 should be visited before node20\nnode 12 should be visited before node33\nnode 12 should be visited before node19\nnode 13 should be visited before node20\nnode 13 should be visited before node26\nnode 13 should be visited before node33\nnode 14 should be visited before node15\nnode 14 should be visited before node17\nnode 14 should be visited before node2\nnode 14 should be visited before node29\nnode 14 should be visited before node13\nnode 14 should be visited before node21\nnode 14 should be visited before node26\nnode 14 should be visited before node33\nnode 14 should be visited before node19\nnode 15 should be visited before node2\nnode 15 should be visited before node29\nnode 15 should be visited before node13\nnode 15 should be visited before node21\nnode 15 should be visited before node3\nnode 16 should be visited before node2\nnode 16 should be visited before node22\nnode 16 should be visited before node13\nnode 17 should be visited before node29\nnode 17 should be visited before node22\nnode 17 should be visited before node3\nnode 17 should be visited before node33\nnode 18 should be visited before node15\nnode 18 should be visited before node10\nnode 18 should be visited before node17\nnode 18 should be visited before node29\nnode 18 should be visited before node26\nnode 18 should be visited before node33\nnode 20 should be visited before node26\nnode 20 should be visited before node33\nnode 20 should be visited before node19\nnode 21 should be visited before node33\nnode 21 should be visited before node19\nnode 22 should be visited before node27\nnode 22 should be visited before node26\nnode 23 should be visited before node24\nnode 23 should be visited before node30\nnode 23 should be visited before node9\nnode 23 should be visited before node12\nnode 23 should be visited before node14\nnode 23 should be visited before node15\nnode 23 should be visited before node13\nnode 23 should be visited before node26\nnode 23 should be visited before node33\nnode 24 should be visited before node18\nnode 24 should be visited before node15\nnode 24 should be visited before node32\nnode 24 should be visited before node29\nnode 24 should be visited before node22\nnode 24 should be visited before node13\nnode 24 should be visited before node20\nnode 24 should be visited before node26\nnode 25 should be visited before node18\nnode 25 should be visited before node10\nnode 25 should be visited before node32\nnode 25 should be visited before node17\nnode 25 should be visited before node29\nnode 25 should be visited before node26\nnode 26 should be visited before node33\nnode 26 should be visited before node19\nnode 27 should be visited before node26\nnode 27 should be visited before node19\nnode 28 should be visited before node7\nnode 28 should be visited before node6\nnode 28 should be visited before node25\nnode 28 should be visited before node18\nnode 28 should be visited before node16\nnode 28 should be visited before node32\nnode 28 should be visited before node17\nnode 28 should be visited before node2\nnode 28 should be visited before node22\nnode 28 should be visited before node21\nnode 28 should be visited before node27\nnode 29 should be visited before node3\nnode 29 should be visited before node33\nnode 29 should be visited before node19\nnode 30 should be visited before node7\nnode 30 should be visited before node6\nnode 30 should be visited before node14\nnode 30 should be visited before node18\nnode 30 should be visited before node15\nnode 30 should be visited before node22\nnode 30 should be visited before node3\nnode 30 should be visited before node19\nnode 31 should be visited before node30\nnode 31 should be visited before node6\nnode 31 should be visited before node25\nnode 31 should be visited before node14\nnode 31 should be visited before node18\nnode 31 should be visited before node10\nnode 31 should be visited before node17\nnode 31 should be visited before node21\nnode 31 should be visited before node26\nnode 31 should be visited before node33\nnode 32 should be visited before node17\nnode 32 should be visited before node29\nnode 32 should be visited before node22\nnode 32 should be visited before node3\nnode 32 should be visited before node26\nnode 32 should be visited before node33\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,5,8,31,1,11,23,0,24,30,9,28,12,7,6,16,14,25,18,15,10,2,32,21,13,17,20,29,22,3,27,26,33,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph964",
        "image": "data/topology/graph_visual/hard/graph964.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node5\nnode 0 should be visited before node3\nnode 2 should be visited before node20\nnode 2 should be visited before node28\nnode 2 should be visited before node10\nnode 3 should be visited before node1\nnode 4 should be visited before node23\nnode 4 should be visited before node31\nnode 4 should be visited before node9\nnode 4 should be visited before node17\nnode 4 should be visited before node27\nnode 4 should be visited before node8\nnode 4 should be visited before node28\nnode 4 should be visited before node10\nnode 4 should be visited before node5\nnode 6 should be visited before node13\nnode 6 should be visited before node29\nnode 6 should be visited before node9\nnode 6 should be visited before node17\nnode 6 should be visited before node27\nnode 6 should be visited before node21\nnode 6 should be visited before node28\nnode 7 should be visited before node31\nnode 7 should be visited before node14\nnode 7 should be visited before node17\nnode 7 should be visited before node27\nnode 7 should be visited before node21\nnode 7 should be visited before node33\nnode 7 should be visited before node20\nnode 7 should be visited before node32\nnode 7 should be visited before node10\nnode 9 should be visited before node0\nnode 9 should be visited before node8\nnode 9 should be visited before node28\nnode 9 should be visited before node10\nnode 9 should be visited before node5\nnode 9 should be visited before node1\nnode 11 should be visited before node13\nnode 11 should be visited before node18\nnode 11 should be visited before node23\nnode 11 should be visited before node9\nnode 11 should be visited before node2\nnode 11 should be visited before node33\nnode 11 should be visited before node0\nnode 11 should be visited before node5\nnode 11 should be visited before node3\nnode 12 should be visited before node26\nnode 12 should be visited before node18\nnode 12 should be visited before node23\nnode 12 should be visited before node27\nnode 12 should be visited before node21\nnode 12 should be visited before node2\nnode 12 should be visited before node33\nnode 12 should be visited before node8\nnode 12 should be visited before node28\nnode 12 should be visited before node32\nnode 12 should be visited before node3\nnode 13 should be visited before node7\nnode 13 should be visited before node29\nnode 13 should be visited before node9\nnode 13 should be visited before node14\nnode 13 should be visited before node17\nnode 13 should be visited before node27\nnode 13 should be visited before node2\nnode 14 should be visited before node17\nnode 14 should be visited before node27\nnode 14 should be visited before node32\nnode 14 should be visited before node3\nnode 15 should be visited before node7\nnode 15 should be visited before node31\nnode 15 should be visited before node14\nnode 15 should be visited before node32\nnode 16 should be visited before node6\nnode 16 should be visited before node29\nnode 16 should be visited before node23\nnode 16 should be visited before node31\nnode 16 should be visited before node17\nnode 16 should be visited before node20\nnode 16 should be visited before node3\nnode 17 should be visited before node27\nnode 17 should be visited before node21\nnode 17 should be visited before node33\nnode 17 should be visited before node20\nnode 17 should be visited before node28\nnode 17 should be visited before node10\nnode 17 should be visited before node3\nnode 18 should be visited before node31\nnode 18 should be visited before node33\nnode 18 should be visited before node8\nnode 18 should be visited before node28\nnode 18 should be visited before node3\nnode 18 should be visited before node1\nnode 19 should be visited before node11\nnode 19 should be visited before node13\nnode 19 should be visited before node18\nnode 19 should be visited before node29\nnode 19 should be visited before node31\nnode 19 should be visited before node17\nnode 19 should be visited before node21\nnode 20 should be visited before node10\nnode 20 should be visited before node5\nnode 20 should be visited before node1\nnode 21 should be visited before node32\nnode 21 should be visited before node3\nnode 22 should be visited before node16\nnode 22 should be visited before node11\nnode 22 should be visited before node18\nnode 22 should be visited before node7\nnode 22 should be visited before node23\nnode 22 should be visited before node31\nnode 22 should be visited before node0\nnode 22 should be visited before node28\nnode 22 should be visited before node3\nnode 22 should be visited before node1\nnode 23 should be visited before node9\nnode 23 should be visited before node17\nnode 23 should be visited before node21\nnode 23 should be visited before node33\nnode 23 should be visited before node32\nnode 24 should be visited before node12\nnode 24 should be visited before node22\nnode 24 should be visited before node25\nnode 24 should be visited before node16\nnode 24 should be visited before node4\nnode 24 should be visited before node29\nnode 24 should be visited before node31\nnode 24 should be visited before node20\nnode 24 should be visited before node32\nnode 24 should be visited before node3\nnode 25 should be visited before node15\nnode 25 should be visited before node16\nnode 25 should be visited before node23\nnode 25 should be visited before node2\nnode 25 should be visited before node33\nnode 25 should be visited before node20\nnode 25 should be visited before node5\nnode 25 should be visited before node3\nnode 26 should be visited before node11\nnode 26 should be visited before node4\nnode 26 should be visited before node29\nnode 26 should be visited before node2\nnode 26 should be visited before node20\nnode 26 should be visited before node28\nnode 26 should be visited before node32\nnode 27 should be visited before node33\nnode 27 should be visited before node1\nnode 28 should be visited before node32\nnode 28 should be visited before node3\nnode 28 should be visited before node1\nnode 29 should be visited before node14\nnode 29 should be visited before node28\nnode 29 should be visited before node1\nnode 30 should be visited before node12\nnode 30 should be visited before node25\nnode 30 should be visited before node15\nnode 30 should be visited before node16\nnode 30 should be visited before node11\nnode 30 should be visited before node29\nnode 30 should be visited before node20\nnode 30 should be visited before node3\nnode 31 should be visited before node14\nnode 31 should be visited before node27\nnode 31 should be visited before node2\nnode 31 should be visited before node32\nnode 32 should be visited before node5\nnode 32 should be visited before node1\nnode 33 should be visited before node8\nnode 33 should be visited before node32\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "19,24,30,22,12,25,26,15,16,11,4,6,18,23,13,7,29,9,31,0,14,2,17,27,21,20,28,33,10,3,8,32,5,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph311",
        "image": "data/topology/graph_visual/hard/graph311.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 0 should be visited before node15\nnode 0 should be visited before node12\nnode 0 should be visited before node9\nnode 0 should be visited before node3\nnode 0 should be visited before node8\nnode 0 should be visited before node25\nnode 0 should be visited before node21\nnode 0 should be visited before node11\nnode 1 should be visited before node17\nnode 1 should be visited before node22\nnode 1 should be visited before node0\nnode 1 should be visited before node23\nnode 1 should be visited before node26\nnode 1 should be visited before node13\nnode 1 should be visited before node15\nnode 1 should be visited before node18\nnode 1 should be visited before node8\nnode 1 should be visited before node25\nnode 1 should be visited before node24\nnode 1 should be visited before node11\nnode 2 should be visited before node18\nnode 2 should be visited before node12\nnode 2 should be visited before node27\nnode 2 should be visited before node8\nnode 2 should be visited before node21\nnode 2 should be visited before node20\nnode 2 should be visited before node16\nnode 2 should be visited before node11\nnode 2 should be visited before node14\nnode 2 should be visited before node4\nnode 3 should be visited before node8\nnode 3 should be visited before node19\nnode 3 should be visited before node24\nnode 3 should be visited before node16\nnode 3 should be visited before node4\nnode 5 should be visited before node13\nnode 5 should be visited before node15\nnode 5 should be visited before node12\nnode 5 should be visited before node27\nnode 5 should be visited before node8\nnode 5 should be visited before node25\nnode 5 should be visited before node19\nnode 5 should be visited before node21\nnode 5 should be visited before node20\nnode 5 should be visited before node7\nnode 5 should be visited before node4\nnode 6 should be visited before node5\nnode 6 should be visited before node22\nnode 6 should be visited before node23\nnode 6 should be visited before node26\nnode 6 should be visited before node10\nnode 6 should be visited before node15\nnode 6 should be visited before node12\nnode 6 should be visited before node27\nnode 6 should be visited before node25\nnode 6 should be visited before node16\nnode 6 should be visited before node4\nnode 7 should be visited before node4\nnode 8 should be visited before node25\nnode 8 should be visited before node19\nnode 8 should be visited before node16\nnode 8 should be visited before node11\nnode 8 should be visited before node14\nnode 9 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node24\nnode 9 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node14\nnode 9 should be visited before node7\nnode 9 should be visited before node4\nnode 10 should be visited before node15\nnode 10 should be visited before node27\nnode 10 should be visited before node9\nnode 10 should be visited before node8\nnode 10 should be visited before node24\nnode 10 should be visited before node21\nnode 10 should be visited before node20\nnode 10 should be visited before node11\nnode 10 should be visited before node14\nnode 10 should be visited before node7\nnode 11 should be visited before node14\nnode 11 should be visited before node4\nnode 12 should be visited before node27\nnode 12 should be visited before node3\nnode 12 should be visited before node19\nnode 12 should be visited before node21\nnode 12 should be visited before node14\nnode 12 should be visited before node7\nnode 13 should be visited before node10\nnode 13 should be visited before node2\nnode 13 should be visited before node15\nnode 13 should be visited before node18\nnode 13 should be visited before node27\nnode 13 should be visited before node9\nnode 13 should be visited before node25\nnode 13 should be visited before node19\nnode 13 should be visited before node24\nnode 13 should be visited before node21\nnode 13 should be visited before node20\nnode 13 should be visited before node11\nnode 13 should be visited before node14\nnode 13 should be visited before node4\nnode 15 should be visited before node27\nnode 15 should be visited before node9\nnode 15 should be visited before node3\nnode 15 should be visited before node8\nnode 15 should be visited before node19\nnode 15 should be visited before node24\nnode 15 should be visited before node20\nnode 15 should be visited before node16\nnode 15 should be visited before node11\nnode 15 should be visited before node7\nnode 16 should be visited before node11\nnode 16 should be visited before node7\nnode 16 should be visited before node4\nnode 17 should be visited before node5\nnode 17 should be visited before node23\nnode 17 should be visited before node10\nnode 17 should be visited before node2\nnode 17 should be visited before node15\nnode 17 should be visited before node18\nnode 17 should be visited before node12\nnode 17 should be visited before node27\nnode 17 should be visited before node8\nnode 17 should be visited before node25\nnode 17 should be visited before node19\nnode 17 should be visited before node7\nnode 17 should be visited before node4\nnode 18 should be visited before node12\nnode 18 should be visited before node9\nnode 18 should be visited before node8\nnode 18 should be visited before node24\nnode 18 should be visited before node11\nnode 18 should be visited before node14\nnode 18 should be visited before node4\nnode 19 should be visited before node21\nnode 19 should be visited before node16\nnode 19 should be visited before node7\nnode 20 should be visited before node16\nnode 20 should be visited before node11\nnode 20 should be visited before node7\nnode 21 should be visited before node20\nnode 21 should be visited before node16\nnode 21 should be visited before node7\nnode 22 should be visited before node13\nnode 22 should be visited before node10\nnode 22 should be visited before node15\nnode 22 should be visited before node18\nnode 22 should be visited before node3\nnode 22 should be visited before node8\nnode 22 should be visited before node25\nnode 22 should be visited before node19\nnode 22 should be visited before node21\nnode 22 should be visited before node20\nnode 22 should be visited before node16\nnode 22 should be visited before node11\nnode 22 should be visited before node14\nnode 22 should be visited before node7\nnode 22 should be visited before node4\nnode 23 should be visited before node13\nnode 23 should be visited before node2\nnode 23 should be visited before node15\nnode 23 should be visited before node18\nnode 23 should be visited before node12\nnode 23 should be visited before node8\nnode 23 should be visited before node19\nnode 23 should be visited before node21\nnode 23 should be visited before node16\nnode 23 should be visited before node7\nnode 24 should be visited before node21\nnode 24 should be visited before node16\nnode 24 should be visited before node7\nnode 25 should be visited before node21\nnode 25 should be visited before node14\nnode 25 should be visited before node7\nnode 26 should be visited before node10\nnode 26 should be visited before node2\nnode 26 should be visited before node12\nnode 26 should be visited before node8\nnode 26 should be visited before node25\nnode 26 should be visited before node19\nnode 26 should be visited before node21\nnode 26 should be visited before node20\nnode 26 should be visited before node16\nnode 26 should be visited before node14\nnode 26 should be visited before node7\nnode 27 should be visited before node9\nnode 27 should be visited before node3\nnode 27 should be visited before node25\nnode 27 should be visited before node21\nnode 27 should be visited before node20\nnode 27 should be visited before node16\nnode 27 should be visited before node11\nnode 27 should be visited before node14\nnode 27 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "1,6,17,0,22,26,5,23,13,10,2,15,18,12,27,9,3,8,24,25,19,21,20,16,11,7,14,4."
            }
        ]
    },
    {
        "id": "topology-hard-graph787",
        "image": "data/topology/graph_visual/hard/graph787.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node9\nnode 0 should be visited before node21\nnode 0 should be visited before node5\nnode 0 should be visited before node25\nnode 0 should be visited before node17\nnode 0 should be visited before node10\nnode 0 should be visited before node11\nnode 0 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node3\nnode 2 should be visited before node28\nnode 2 should be visited before node6\nnode 2 should be visited before node17\nnode 3 should be visited before node15\nnode 3 should be visited before node29\nnode 3 should be visited before node28\nnode 3 should be visited before node6\nnode 3 should be visited before node4\nnode 3 should be visited before node17\nnode 3 should be visited before node10\nnode 4 should be visited before node11\nnode 5 should be visited before node2\nnode 5 should be visited before node3\nnode 5 should be visited before node15\nnode 5 should be visited before node29\nnode 5 should be visited before node28\nnode 5 should be visited before node6\nnode 5 should be visited before node4\nnode 5 should be visited before node17\nnode 5 should be visited before node10\nnode 6 should be visited before node1\nnode 7 should be visited before node22\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node20\nnode 7 should be visited before node9\nnode 7 should be visited before node27\nnode 7 should be visited before node5\nnode 7 should be visited before node25\nnode 7 should be visited before node29\nnode 7 should be visited before node4\nnode 7 should be visited before node10\nnode 7 should be visited before node11\nnode 8 should be visited before node12\nnode 8 should be visited before node18\nnode 8 should be visited before node9\nnode 8 should be visited before node21\nnode 8 should be visited before node27\nnode 8 should be visited before node5\nnode 8 should be visited before node25\nnode 8 should be visited before node15\nnode 8 should be visited before node29\nnode 8 should be visited before node4\nnode 9 should be visited before node21\nnode 9 should be visited before node25\nnode 9 should be visited before node2\nnode 9 should be visited before node3\nnode 9 should be visited before node15\nnode 9 should be visited before node29\nnode 9 should be visited before node4\nnode 9 should be visited before node17\nnode 12 should be visited before node26\nnode 12 should be visited before node18\nnode 12 should be visited before node20\nnode 12 should be visited before node25\nnode 12 should be visited before node2\nnode 12 should be visited before node19\nnode 12 should be visited before node3\nnode 12 should be visited before node15\nnode 12 should be visited before node28\nnode 12 should be visited before node17\nnode 12 should be visited before node11\nnode 13 should be visited before node31\nnode 13 should be visited before node14\nnode 13 should be visited before node23\nnode 13 should be visited before node8\nnode 13 should be visited before node12\nnode 13 should be visited before node16\nnode 13 should be visited before node18\nnode 13 should be visited before node21\nnode 13 should be visited before node5\nnode 13 should be visited before node25\nnode 13 should be visited before node2\nnode 13 should be visited before node19\nnode 13 should be visited before node29\nnode 13 should be visited before node28\nnode 13 should be visited before node6\nnode 13 should be visited before node10\nnode 13 should be visited before node11\nnode 14 should be visited before node23\nnode 14 should be visited before node8\nnode 14 should be visited before node7\nnode 14 should be visited before node22\nnode 14 should be visited before node18\nnode 14 should be visited before node9\nnode 14 should be visited before node25\nnode 14 should be visited before node2\nnode 14 should be visited before node19\nnode 14 should be visited before node3\nnode 14 should be visited before node28\nnode 14 should be visited before node4\nnode 14 should be visited before node10\nnode 14 should be visited before node1\nnode 15 should be visited before node29\nnode 15 should be visited before node28\nnode 15 should be visited before node6\nnode 15 should be visited before node4\nnode 15 should be visited before node17\nnode 16 should be visited before node22\nnode 16 should be visited before node26\nnode 16 should be visited before node0\nnode 16 should be visited before node20\nnode 16 should be visited before node9\nnode 16 should be visited before node21\nnode 16 should be visited before node5\nnode 16 should be visited before node2\nnode 16 should be visited before node29\nnode 16 should be visited before node6\nnode 16 should be visited before node4\nnode 16 should be visited before node17\nnode 16 should be visited before node1\nnode 18 should be visited before node20\nnode 18 should be visited before node27\nnode 18 should be visited before node5\nnode 18 should be visited before node25\nnode 18 should be visited before node3\nnode 18 should be visited before node15\nnode 18 should be visited before node28\nnode 18 should be visited before node4\nnode 18 should be visited before node10\nnode 18 should be visited before node1\nnode 19 should be visited before node3\nnode 19 should be visited before node15\nnode 19 should be visited before node17\nnode 20 should be visited before node27\nnode 20 should be visited before node5\nnode 20 should be visited before node19\nnode 20 should be visited before node3\nnode 20 should be visited before node15\nnode 20 should be visited before node6\nnode 20 should be visited before node17\nnode 20 should be visited before node10\nnode 20 should be visited before node1\nnode 21 should be visited before node2\nnode 21 should be visited before node3\nnode 21 should be visited before node15\nnode 21 should be visited before node29\nnode 21 should be visited before node28\nnode 21 should be visited before node4\nnode 21 should be visited before node11\nnode 21 should be visited before node1\nnode 22 should be visited before node26\nnode 22 should be visited before node0\nnode 22 should be visited before node18\nnode 22 should be visited before node20\nnode 22 should be visited before node21\nnode 22 should be visited before node27\nnode 22 should be visited before node25\nnode 22 should be visited before node3\nnode 22 should be visited before node4\nnode 23 should be visited before node7\nnode 23 should be visited before node12\nnode 23 should be visited before node22\nnode 23 should be visited before node0\nnode 23 should be visited before node18\nnode 23 should be visited before node20\nnode 23 should be visited before node21\nnode 23 should be visited before node27\nnode 23 should be visited before node5\nnode 23 should be visited before node25\nnode 23 should be visited before node3\nnode 23 should be visited before node28\nnode 23 should be visited before node17\nnode 23 should be visited before node11\nnode 24 should be visited before node14\nnode 24 should be visited before node12\nnode 24 should be visited before node26\nnode 24 should be visited before node0\nnode 24 should be visited before node18\nnode 24 should be visited before node21\nnode 24 should be visited before node27\nnode 24 should be visited before node25\nnode 24 should be visited before node2\nnode 24 should be visited before node6\nnode 24 should be visited before node17\nnode 24 should be visited before node10\nnode 24 should be visited before node11\nnode 25 should be visited before node2\nnode 25 should be visited before node15\nnode 25 should be visited before node29\nnode 25 should be visited before node6\nnode 25 should be visited before node4\nnode 25 should be visited before node17\nnode 25 should be visited before node1\nnode 26 should be visited before node0\nnode 26 should be visited before node9\nnode 26 should be visited before node21\nnode 26 should be visited before node27\nnode 26 should be visited before node25\nnode 26 should be visited before node2\nnode 26 should be visited before node15\nnode 26 should be visited before node29\nnode 26 should be visited before node28\nnode 26 should be visited before node4\nnode 26 should be visited before node10\nnode 27 should be visited before node25\nnode 27 should be visited before node2\nnode 27 should be visited before node3\nnode 27 should be visited before node6\nnode 27 should be visited before node11\nnode 28 should be visited before node6\nnode 28 should be visited before node11\nnode 28 should be visited before node1\nnode 29 should be visited before node4\nnode 29 should be visited before node10\nnode 29 should be visited before node11\nnode 30 should be visited before node14\nnode 30 should be visited before node23\nnode 30 should be visited before node8\nnode 30 should be visited before node7\nnode 30 should be visited before node16\nnode 30 should be visited before node26\nnode 30 should be visited before node0\nnode 30 should be visited before node18\nnode 30 should be visited before node9\nnode 30 should be visited before node21\nnode 30 should be visited before node27\nnode 30 should be visited before node25\nnode 30 should be visited before node2\nnode 30 should be visited before node29\nnode 30 should be visited before node28\nnode 30 should be visited before node6\nnode 30 should be visited before node4\nnode 30 should be visited before node17\nnode 30 should be visited before node11\nnode 31 should be visited before node23\nnode 31 should be visited before node8\nnode 31 should be visited before node22\nnode 31 should be visited before node26\nnode 31 should be visited before node20\nnode 31 should be visited before node9\nnode 31 should be visited before node27\nnode 31 should be visited before node25\nnode 31 should be visited before node3\nnode 31 should be visited before node28\nnode 31 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "13,24,30,31,14,16,23,8,7,12,22,26,18,0,20,9,27,5,21,25,2,19,3,15,29,28,17,4,10,6,11,1."
            }
        ]
    },
    {
        "id": "topology-hard-graph291",
        "image": "data/topology/graph_visual/hard/graph291.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node12\nnode 0 should be visited before node17\nnode 0 should be visited before node18\nnode 1 should be visited before node3\nnode 1 should be visited before node22\nnode 1 should be visited before node21\nnode 2 should be visited before node0\nnode 2 should be visited before node24\nnode 3 should be visited before node18\nnode 4 should be visited before node0\nnode 4 should be visited before node5\nnode 4 should be visited before node16\nnode 4 should be visited before node24\nnode 4 should be visited before node9\nnode 4 should be visited before node19\nnode 5 should be visited before node20\nnode 5 should be visited before node19\nnode 6 should be visited before node8\nnode 6 should be visited before node15\nnode 6 should be visited before node16\nnode 6 should be visited before node1\nnode 6 should be visited before node3\nnode 7 should be visited before node20\nnode 7 should be visited before node14\nnode 7 should be visited before node3\nnode 7 should be visited before node21\nnode 8 should be visited before node27\nnode 8 should be visited before node0\nnode 8 should be visited before node12\nnode 8 should be visited before node3\nnode 8 should be visited before node22\nnode 8 should be visited before node9\nnode 9 should be visited before node19\nnode 10 should be visited before node25\nnode 10 should be visited before node4\nnode 10 should be visited before node15\nnode 10 should be visited before node24\nnode 10 should be visited before node21\nnode 10 should be visited before node19\nnode 11 should be visited before node6\nnode 11 should be visited before node13\nnode 11 should be visited before node4\nnode 11 should be visited before node26\nnode 11 should be visited before node14\nnode 11 should be visited before node1\nnode 11 should be visited before node3\nnode 11 should be visited before node18\nnode 11 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node17\nnode 12 should be visited before node3\nnode 12 should be visited before node21\nnode 13 should be visited before node15\nnode 13 should be visited before node24\nnode 13 should be visited before node22\nnode 13 should be visited before node21\nnode 13 should be visited before node9\nnode 13 should be visited before node19\nnode 14 should be visited before node1\nnode 14 should be visited before node18\nnode 14 should be visited before node9\nnode 15 should be visited before node5\nnode 15 should be visited before node14\nnode 15 should be visited before node17\nnode 16 should be visited before node26\nnode 16 should be visited before node3\nnode 16 should be visited before node22\nnode 17 should be visited before node19\nnode 18 should be visited before node9\nnode 18 should be visited before node19\nnode 20 should be visited before node3\nnode 20 should be visited before node22\nnode 20 should be visited before node18\nnode 20 should be visited before node9\nnode 21 should be visited before node18\nnode 21 should be visited before node19\nnode 22 should be visited before node18\nnode 23 should be visited before node15\nnode 23 should be visited before node0\nnode 23 should be visited before node20\nnode 23 should be visited before node14\nnode 23 should be visited before node1\nnode 23 should be visited before node24\nnode 23 should be visited before node18\nnode 24 should be visited before node22\nnode 24 should be visited before node21\nnode 24 should be visited before node19\nnode 25 should be visited before node2\nnode 25 should be visited before node8\nnode 25 should be visited before node20\nnode 25 should be visited before node14\nnode 25 should be visited before node1\nnode 25 should be visited before node17\nnode 25 should be visited before node24\nnode 25 should be visited before node3\nnode 25 should be visited before node19\nnode 26 should be visited before node22\nnode 26 should be visited before node18\nnode 27 should be visited before node12\nnode 27 should be visited before node1\nnode 27 should be visited before node9\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "7,10,11,23,25,6,13,4,2,8,15,16,24,27,0,14,26,12,1,5,17,21,20,3,22,18,9,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph691",
        "image": "data/topology/graph_visual/hard/graph691.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node11\nnode 0 should be visited before node14\nnode 0 should be visited before node4\nnode 0 should be visited before node18\nnode 0 should be visited before node29\nnode 0 should be visited before node10\nnode 0 should be visited before node2\nnode 0 should be visited before node30\nnode 0 should be visited before node7\nnode 0 should be visited before node16\nnode 0 should be visited before node8\nnode 0 should be visited before node20\nnode 0 should be visited before node26\nnode 1 should be visited before node23\nnode 1 should be visited before node10\nnode 1 should be visited before node2\nnode 1 should be visited before node17\nnode 1 should be visited before node16\nnode 1 should be visited before node15\nnode 1 should be visited before node9\nnode 1 should be visited before node12\nnode 1 should be visited before node8\nnode 1 should be visited before node20\nnode 1 should be visited before node22\nnode 1 should be visited before node26\nnode 1 should be visited before node13\nnode 1 should be visited before node19\nnode 2 should be visited before node17\nnode 2 should be visited before node9\nnode 2 should be visited before node26\nnode 2 should be visited before node13\nnode 3 should be visited before node24\nnode 3 should be visited before node21\nnode 3 should be visited before node27\nnode 3 should be visited before node29\nnode 3 should be visited before node10\nnode 3 should be visited before node16\nnode 3 should be visited before node15\nnode 3 should be visited before node20\nnode 3 should be visited before node22\nnode 3 should be visited before node26\nnode 3 should be visited before node19\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node24\nnode 4 should be visited before node18\nnode 4 should be visited before node1\nnode 4 should be visited before node29\nnode 4 should be visited before node2\nnode 4 should be visited before node17\nnode 4 should be visited before node30\nnode 4 should be visited before node7\nnode 4 should be visited before node16\nnode 4 should be visited before node12\nnode 4 should be visited before node8\nnode 4 should be visited before node20\nnode 4 should be visited before node26\nnode 4 should be visited before node19\nnode 5 should be visited before node17\nnode 5 should be visited before node30\nnode 5 should be visited before node15\nnode 5 should be visited before node12\nnode 5 should be visited before node8\nnode 5 should be visited before node22\nnode 5 should be visited before node26\nnode 6 should be visited before node24\nnode 6 should be visited before node21\nnode 6 should be visited before node23\nnode 6 should be visited before node27\nnode 6 should be visited before node29\nnode 6 should be visited before node17\nnode 6 should be visited before node7\nnode 6 should be visited before node15\nnode 6 should be visited before node9\nnode 6 should be visited before node12\nnode 6 should be visited before node8\nnode 6 should be visited before node20\nnode 6 should be visited before node22\nnode 7 should be visited before node9\nnode 7 should be visited before node8\nnode 7 should be visited before node20\nnode 7 should be visited before node26\nnode 8 should be visited before node20\nnode 8 should be visited before node22\nnode 9 should be visited before node12\nnode 9 should be visited before node8\nnode 9 should be visited before node26\nnode 10 should be visited before node17\nnode 10 should be visited before node7\nnode 10 should be visited before node16\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node8\nnode 10 should be visited before node13\nnode 11 should be visited before node28\nnode 11 should be visited before node3\nnode 11 should be visited before node1\nnode 11 should be visited before node23\nnode 11 should be visited before node29\nnode 11 should be visited before node10\nnode 11 should be visited before node2\nnode 11 should be visited before node5\nnode 11 should be visited before node17\nnode 11 should be visited before node30\nnode 11 should be visited before node9\nnode 11 should be visited before node8\nnode 11 should be visited before node22\nnode 11 should be visited before node26\nnode 12 should be visited before node20\nnode 12 should be visited before node22\nnode 12 should be visited before node19\nnode 13 should be visited before node19\nnode 14 should be visited before node6\nnode 14 should be visited before node18\nnode 14 should be visited before node1\nnode 14 should be visited before node23\nnode 14 should be visited before node29\nnode 14 should be visited before node30\nnode 14 should be visited before node20\nnode 14 should be visited before node22\nnode 14 should be visited before node26\nnode 15 should be visited before node12\nnode 15 should be visited before node20\nnode 15 should be visited before node13\nnode 15 should be visited before node19\nnode 16 should be visited before node9\nnode 16 should be visited before node26\nnode 16 should be visited before node13\nnode 16 should be visited before node19\nnode 17 should be visited before node7\nnode 17 should be visited before node16\nnode 17 should be visited before node22\nnode 17 should be visited before node26\nnode 17 should be visited before node19\nnode 18 should be visited before node1\nnode 18 should be visited before node23\nnode 18 should be visited before node10\nnode 18 should be visited before node5\nnode 18 should be visited before node7\nnode 18 should be visited before node12\nnode 18 should be visited before node8\nnode 18 should be visited before node20\nnode 18 should be visited before node19\nnode 20 should be visited before node19\nnode 21 should be visited before node23\nnode 21 should be visited before node29\nnode 21 should be visited before node10\nnode 21 should be visited before node2\nnode 21 should be visited before node30\nnode 21 should be visited before node15\nnode 21 should be visited before node22\nnode 21 should be visited before node13\nnode 22 should be visited before node26\nnode 22 should be visited before node19\nnode 23 should be visited before node29\nnode 23 should be visited before node10\nnode 23 should be visited before node5\nnode 23 should be visited before node30\nnode 23 should be visited before node15\nnode 23 should be visited before node9\nnode 23 should be visited before node8\nnode 23 should be visited before node20\nnode 23 should be visited before node26\nnode 24 should be visited before node18\nnode 24 should be visited before node1\nnode 24 should be visited before node27\nnode 24 should be visited before node10\nnode 24 should be visited before node2\nnode 24 should be visited before node5\nnode 24 should be visited before node17\nnode 24 should be visited before node16\nnode 24 should be visited before node9\nnode 24 should be visited before node12\nnode 24 should be visited before node20\nnode 24 should be visited before node22\nnode 25 should be visited before node24\nnode 25 should be visited before node21\nnode 25 should be visited before node18\nnode 25 should be visited before node1\nnode 25 should be visited before node23\nnode 25 should be visited before node29\nnode 25 should be visited before node10\nnode 25 should be visited before node17\nnode 25 should be visited before node9\nnode 25 should be visited before node12\nnode 25 should be visited before node20\nnode 25 should be visited before node22\nnode 25 should be visited before node13\nnode 25 should be visited before node19\nnode 27 should be visited before node17\nnode 27 should be visited before node30\nnode 27 should be visited before node16\nnode 27 should be visited before node15\nnode 27 should be visited before node9\nnode 27 should be visited before node12\nnode 27 should be visited before node20\nnode 27 should be visited before node19\nnode 28 should be visited before node14\nnode 28 should be visited before node4\nnode 28 should be visited before node25\nnode 28 should be visited before node6\nnode 28 should be visited before node18\nnode 28 should be visited before node23\nnode 28 should be visited before node27\nnode 28 should be visited before node5\nnode 28 should be visited before node17\nnode 28 should be visited before node7\nnode 28 should be visited before node16\nnode 28 should be visited before node9\nnode 28 should be visited before node12\nnode 28 should be visited before node22\nnode 28 should be visited before node26\nnode 28 should be visited before node19\nnode 29 should be visited before node10\nnode 29 should be visited before node2\nnode 29 should be visited before node5\nnode 29 should be visited before node17\nnode 29 should be visited before node7\nnode 29 should be visited before node15\nnode 29 should be visited before node9\nnode 29 should be visited before node12\nnode 29 should be visited before node8\nnode 29 should be visited before node26\nnode 29 should be visited before node13\nnode 29 should be visited before node19\nnode 30 should be visited before node7\nnode 30 should be visited before node16\nnode 30 should be visited before node15\nnode 30 should be visited before node8\nnode 30 should be visited before node20\nnode 30 should be visited before node26\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,11,28,14,4,25,3,6,24,21,18,27,1,23,29,10,2,5,17,30,7,16,15,9,13,12,8,20,22,26,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph988",
        "image": "data/topology/graph_visual/hard/graph988.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 0 should be visited before node10\nnode 0 should be visited before node17\nnode 0 should be visited before node4\nnode 0 should be visited before node30\nnode 0 should be visited before node2\nnode 0 should be visited before node18\nnode 0 should be visited before node29\nnode 0 should be visited before node8\nnode 0 should be visited before node32\nnode 1 should be visited before node29\nnode 1 should be visited before node7\nnode 1 should be visited before node13\nnode 1 should be visited before node8\nnode 1 should be visited before node32\nnode 1 should be visited before node23\nnode 1 should be visited before node12\nnode 2 should be visited before node26\nnode 2 should be visited before node7\nnode 2 should be visited before node15\nnode 3 should be visited before node31\nnode 3 should be visited before node20\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 3 should be visited before node13\nnode 3 should be visited before node32\nnode 3 should be visited before node23\nnode 4 should be visited before node30\nnode 4 should be visited before node14\nnode 4 should be visited before node1\nnode 4 should be visited before node29\nnode 4 should be visited before node7\nnode 4 should be visited before node33\nnode 4 should be visited before node32\nnode 4 should be visited before node12\nnode 5 should be visited before node31\nnode 5 should be visited before node20\nnode 5 should be visited before node22\nnode 5 should be visited before node30\nnode 5 should be visited before node1\nnode 5 should be visited before node9\nnode 5 should be visited before node24\nnode 5 should be visited before node32\nnode 6 should be visited before node14\nnode 6 should be visited before node2\nnode 6 should be visited before node9\nnode 6 should be visited before node24\nnode 6 should be visited before node32\nnode 7 should be visited before node24\nnode 7 should be visited before node8\nnode 7 should be visited before node12\nnode 8 should be visited before node32\nnode 9 should be visited before node29\nnode 9 should be visited before node24\nnode 9 should be visited before node33\nnode 9 should be visited before node32\nnode 9 should be visited before node23\nnode 9 should be visited before node15\nnode 10 should be visited before node28\nnode 10 should be visited before node2\nnode 10 should be visited before node7\nnode 10 should be visited before node8\nnode 11 should be visited before node10\nnode 11 should be visited before node6\nnode 11 should be visited before node28\nnode 11 should be visited before node32\nnode 11 should be visited before node12\nnode 11 should be visited before node15\nnode 12 should be visited before node15\nnode 13 should be visited before node32\nnode 13 should be visited before node12\nnode 14 should be visited before node1\nnode 14 should be visited before node26\nnode 14 should be visited before node24\nnode 14 should be visited before node33\nnode 14 should be visited before node32\nnode 16 should be visited before node19\nnode 16 should be visited before node5\nnode 16 should be visited before node20\nnode 16 should be visited before node6\nnode 16 should be visited before node33\nnode 16 should be visited before node8\nnode 16 should be visited before node23\nnode 17 should be visited before node22\nnode 17 should be visited before node30\nnode 17 should be visited before node14\nnode 17 should be visited before node1\nnode 17 should be visited before node18\nnode 17 should be visited before node29\nnode 18 should be visited before node12\nnode 19 should be visited before node27\nnode 19 should be visited before node31\nnode 19 should be visited before node25\nnode 19 should be visited before node6\nnode 19 should be visited before node18\nnode 19 should be visited before node9\nnode 19 should be visited before node33\nnode 19 should be visited before node32\nnode 20 should be visited before node22\nnode 20 should be visited before node25\nnode 20 should be visited before node26\nnode 20 should be visited before node7\nnode 20 should be visited before node32\nnode 20 should be visited before node12\nnode 21 should be visited before node24\nnode 21 should be visited before node8\nnode 21 should be visited before node32\nnode 22 should be visited before node30\nnode 22 should be visited before node29\nnode 22 should be visited before node26\nnode 22 should be visited before node13\nnode 22 should be visited before node32\nnode 24 should be visited before node15\nnode 25 should be visited before node14\nnode 25 should be visited before node18\nnode 25 should be visited before node24\nnode 25 should be visited before node32\nnode 26 should be visited before node7\nnode 26 should be visited before node13\nnode 26 should be visited before node33\nnode 26 should be visited before node8\nnode 26 should be visited before node32\nnode 26 should be visited before node12\nnode 26 should be visited before node15\nnode 27 should be visited before node5\nnode 27 should be visited before node4\nnode 27 should be visited before node1\nnode 27 should be visited before node18\nnode 27 should be visited before node29\nnode 27 should be visited before node24\nnode 27 should be visited before node33\nnode 27 should be visited before node15\nnode 28 should be visited before node18\nnode 28 should be visited before node29\nnode 28 should be visited before node26\nnode 28 should be visited before node8\nnode 28 should be visited before node23\nnode 29 should be visited before node26\nnode 29 should be visited before node23\nnode 29 should be visited before node12\nnode 29 should be visited before node15\nnode 30 should be visited before node25\nnode 30 should be visited before node6\nnode 30 should be visited before node18\nnode 30 should be visited before node7\nnode 30 should be visited before node13\nnode 30 should be visited before node32\nnode 31 should be visited before node20\nnode 31 should be visited before node22\nnode 31 should be visited before node1\nnode 31 should be visited before node2\nnode 31 should be visited before node9\nnode 31 should be visited before node32\nnode 32 should be visited before node23\nnode 32 should be visited before node15\nnode 33 should be visited before node8\nnode 33 should be visited before node32\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,3,11,16,21,17,10,19,28,27,5,4,31,20,22,30,25,6,18,14,2,9,1,29,26,7,13,33,24,12,8,32,23,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph299",
        "image": "data/topology/graph_visual/hard/graph299.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node24\nnode 0 should be visited before node20\nnode 1 should be visited before node15\nnode 1 should be visited before node27\nnode 1 should be visited before node20\nnode 1 should be visited before node25\nnode 2 should be visited before node5\nnode 2 should be visited before node6\nnode 2 should be visited before node12\nnode 3 should be visited before node16\nnode 3 should be visited before node9\nnode 3 should be visited before node21\nnode 3 should be visited before node0\nnode 3 should be visited before node13\nnode 3 should be visited before node6\nnode 3 should be visited before node12\nnode 3 should be visited before node17\nnode 4 should be visited before node26\nnode 4 should be visited before node6\nnode 4 should be visited before node17\nnode 4 should be visited before node25\nnode 4 should be visited before node18\nnode 4 should be visited before node19\nnode 5 should be visited before node27\nnode 5 should be visited before node6\nnode 5 should be visited before node11\nnode 6 should be visited before node24\nnode 6 should be visited before node11\nnode 6 should be visited before node25\nnode 6 should be visited before node19\nnode 7 should be visited before node10\nnode 7 should be visited before node8\nnode 7 should be visited before node5\nnode 7 should be visited before node1\nnode 7 should be visited before node24\nnode 7 should be visited before node25\nnode 8 should be visited before node5\nnode 8 should be visited before node1\nnode 8 should be visited before node15\nnode 8 should be visited before node13\nnode 8 should be visited before node12\nnode 8 should be visited before node19\nnode 9 should be visited before node8\nnode 9 should be visited before node4\nnode 9 should be visited before node5\nnode 9 should be visited before node6\nnode 9 should be visited before node12\nnode 9 should be visited before node24\nnode 9 should be visited before node20\nnode 9 should be visited before node11\nnode 9 should be visited before node18\nnode 9 should be visited before node19\nnode 10 should be visited before node5\nnode 10 should be visited before node1\nnode 10 should be visited before node13\nnode 10 should be visited before node12\nnode 10 should be visited before node24\nnode 12 should be visited before node18\nnode 12 should be visited before node19\nnode 14 should be visited before node26\nnode 14 should be visited before node15\nnode 14 should be visited before node6\nnode 14 should be visited before node12\nnode 14 should be visited before node20\nnode 14 should be visited before node17\nnode 14 should be visited before node25\nnode 14 should be visited before node18\nnode 15 should be visited before node11\nnode 16 should be visited before node10\nnode 16 should be visited before node9\nnode 16 should be visited before node4\nnode 16 should be visited before node5\nnode 16 should be visited before node21\nnode 16 should be visited before node11\nnode 16 should be visited before node18\nnode 18 should be visited before node19\nnode 20 should be visited before node11\nnode 20 should be visited before node25\nnode 20 should be visited before node18\nnode 21 should be visited before node6\nnode 21 should be visited before node20\nnode 21 should be visited before node11\nnode 21 should be visited before node25\nnode 21 should be visited before node18\nnode 21 should be visited before node19\nnode 22 should be visited before node0\nnode 22 should be visited before node15\nnode 22 should be visited before node13\nnode 22 should be visited before node12\nnode 22 should be visited before node24\nnode 22 should be visited before node17\nnode 22 should be visited before node18\nnode 23 should be visited before node5\nnode 23 should be visited before node21\nnode 23 should be visited before node27\nnode 23 should be visited before node13\nnode 23 should be visited before node12\nnode 23 should be visited before node24\nnode 23 should be visited before node17\nnode 23 should be visited before node19\nnode 24 should be visited before node11\nnode 24 should be visited before node19\nnode 25 should be visited before node18\nnode 26 should be visited before node21\nnode 26 should be visited before node0\nnode 26 should be visited before node15\nnode 26 should be visited before node24\nnode 26 should be visited before node11\nnode 26 should be visited before node18\nnode 27 should be visited before node13\nnode 27 should be visited before node12\nnode 27 should be visited before node20\nnode 27 should be visited before node17\nnode 27 should be visited before node11\nnode 27 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,3,7,14,22,23,16,10,9,8,4,5,1,26,27,21,0,15,13,12,17,6,20,24,25,11,18,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph535",
        "image": "data/topology/graph_visual/hard/graph535.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 1 should be visited before node6\nnode 1 should be visited before node2\nnode 1 should be visited before node4\nnode 1 should be visited before node10\nnode 1 should be visited before node17\nnode 1 should be visited before node20\nnode 1 should be visited before node15\nnode 1 should be visited before node25\nnode 2 should be visited before node5\nnode 2 should be visited before node9\nnode 2 should be visited before node10\nnode 2 should be visited before node28\nnode 2 should be visited before node17\nnode 2 should be visited before node23\nnode 2 should be visited before node14\nnode 2 should be visited before node15\nnode 2 should be visited before node12\nnode 2 should be visited before node0\nnode 3 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node8\nnode 3 should be visited before node19\nnode 3 should be visited before node11\nnode 3 should be visited before node15\nnode 3 should be visited before node12\nnode 3 should be visited before node0\nnode 3 should be visited before node25\nnode 4 should be visited before node7\nnode 4 should be visited before node27\nnode 4 should be visited before node9\nnode 4 should be visited before node16\nnode 4 should be visited before node23\nnode 4 should be visited before node12\nnode 5 should be visited before node24\nnode 5 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node18\nnode 5 should be visited before node21\nnode 5 should be visited before node17\nnode 5 should be visited before node8\nnode 5 should be visited before node23\nnode 5 should be visited before node14\nnode 5 should be visited before node13\nnode 5 should be visited before node25\nnode 6 should be visited before node18\nnode 6 should be visited before node21\nnode 6 should be visited before node19\nnode 6 should be visited before node13\nnode 7 should be visited before node26\nnode 7 should be visited before node27\nnode 7 should be visited before node9\nnode 7 should be visited before node28\nnode 7 should be visited before node23\nnode 7 should be visited before node15\nnode 7 should be visited before node25\nnode 8 should be visited before node19\nnode 8 should be visited before node14\nnode 8 should be visited before node11\nnode 9 should be visited before node10\nnode 9 should be visited before node21\nnode 9 should be visited before node23\nnode 9 should be visited before node22\nnode 9 should be visited before node15\nnode 9 should be visited before node12\nnode 10 should be visited before node28\nnode 10 should be visited before node17\nnode 10 should be visited before node8\nnode 10 should be visited before node23\nnode 10 should be visited before node22\nnode 10 should be visited before node20\nnode 10 should be visited before node0\nnode 11 should be visited before node20\nnode 13 should be visited before node11\nnode 14 should be visited before node22\nnode 14 should be visited before node13\nnode 15 should be visited before node12\nnode 16 should be visited before node23\nnode 16 should be visited before node19\nnode 16 should be visited before node14\nnode 16 should be visited before node22\nnode 16 should be visited before node12\nnode 17 should be visited before node13\nnode 17 should be visited before node11\nnode 17 should be visited before node20\nnode 17 should be visited before node12\nnode 17 should be visited before node25\nnode 18 should be visited before node27\nnode 18 should be visited before node28\nnode 18 should be visited before node21\nnode 18 should be visited before node17\nnode 18 should be visited before node19\nnode 18 should be visited before node14\nnode 18 should be visited before node11\nnode 18 should be visited before node20\nnode 18 should be visited before node25\nnode 19 should be visited before node22\nnode 19 should be visited before node20\nnode 19 should be visited before node12\nnode 19 should be visited before node0\nnode 21 should be visited before node23\nnode 21 should be visited before node19\nnode 21 should be visited before node22\nnode 21 should be visited before node11\nnode 21 should be visited before node25\nnode 22 should be visited before node15\nnode 23 should be visited before node22\nnode 23 should be visited before node15\nnode 24 should be visited before node27\nnode 24 should be visited before node9\nnode 24 should be visited before node21\nnode 24 should be visited before node23\nnode 24 should be visited before node11\nnode 26 should be visited before node18\nnode 26 should be visited before node27\nnode 26 should be visited before node21\nnode 26 should be visited before node17\nnode 26 should be visited before node22\nnode 26 should be visited before node15\nnode 26 should be visited before node25\nnode 27 should be visited before node9\nnode 27 should be visited before node10\nnode 27 should be visited before node28\nnode 27 should be visited before node8\nnode 27 should be visited before node19\nnode 27 should be visited before node11\nnode 28 should be visited before node20\nnode 29 should be visited before node3\nnode 29 should be visited before node1\nnode 29 should be visited before node2\nnode 29 should be visited before node26\nnode 29 should be visited before node27\nnode 29 should be visited before node9\nnode 29 should be visited before node16\nnode 29 should be visited before node28\nnode 29 should be visited before node21\nnode 29 should be visited before node19\nnode 29 should be visited before node11\nnode 29 should be visited before node15\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "29,3,1,6,2,5,24,4,7,16,26,18,27,9,10,21,28,17,8,23,25,19,14,0,22,13,15,11,12,20."
            }
        ]
    },
    {
        "id": "topology-hard-graph243",
        "image": "data/topology/graph_visual/hard/graph243.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node25\nnode 0 should be visited before node1\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 2 should be visited before node5\nnode 2 should be visited before node22\nnode 2 should be visited before node19\nnode 2 should be visited before node14\nnode 2 should be visited before node1\nnode 3 should be visited before node24\nnode 3 should be visited before node0\nnode 3 should be visited before node27\nnode 3 should be visited before node26\nnode 3 should be visited before node25\nnode 4 should be visited before node23\nnode 4 should be visited before node22\nnode 4 should be visited before node13\nnode 4 should be visited before node26\nnode 4 should be visited before node1\nnode 5 should be visited before node6\nnode 5 should be visited before node22\nnode 5 should be visited before node19\nnode 5 should be visited before node24\nnode 5 should be visited before node14\nnode 5 should be visited before node26\nnode 6 should be visited before node15\nnode 6 should be visited before node23\nnode 6 should be visited before node18\nnode 6 should be visited before node27\nnode 6 should be visited before node14\nnode 6 should be visited before node25\nnode 7 should be visited before node10\nnode 7 should be visited before node17\nnode 7 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node12\nnode 7 should be visited before node19\nnode 7 should be visited before node0\nnode 7 should be visited before node27\nnode 7 should be visited before node25\nnode 8 should be visited before node16\nnode 8 should be visited before node7\nnode 8 should be visited before node17\nnode 8 should be visited before node23\nnode 8 should be visited before node19\nnode 8 should be visited before node13\nnode 8 should be visited before node26\nnode 8 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node10\nnode 9 should be visited before node6\nnode 9 should be visited before node22\nnode 9 should be visited before node3\nnode 9 should be visited before node27\nnode 9 should be visited before node14\nnode 9 should be visited before node26\nnode 10 should be visited before node6\nnode 10 should be visited before node26\nnode 10 should be visited before node25\nnode 10 should be visited before node1\nnode 11 should be visited before node9\nnode 11 should be visited before node10\nnode 11 should be visited before node17\nnode 11 should be visited before node23\nnode 11 should be visited before node18\nnode 11 should be visited before node22\nnode 11 should be visited before node3\nnode 11 should be visited before node24\nnode 11 should be visited before node14\nnode 12 should be visited before node3\nnode 12 should be visited before node0\nnode 12 should be visited before node27\nnode 14 should be visited before node21\nnode 14 should be visited before node25\nnode 15 should be visited before node23\nnode 15 should be visited before node18\nnode 15 should be visited before node22\nnode 15 should be visited before node13\nnode 15 should be visited before node1\nnode 16 should be visited before node2\nnode 16 should be visited before node9\nnode 16 should be visited before node17\nnode 16 should be visited before node21\nnode 17 should be visited before node23\nnode 17 should be visited before node27\nnode 17 should be visited before node13\nnode 17 should be visited before node26\nnode 17 should be visited before node25\nnode 18 should be visited before node24\nnode 18 should be visited before node0\nnode 18 should be visited before node26\nnode 19 should be visited before node24\nnode 19 should be visited before node25\nnode 20 should be visited before node16\nnode 20 should be visited before node2\nnode 20 should be visited before node11\nnode 20 should be visited before node7\nnode 20 should be visited before node9\nnode 20 should be visited before node15\nnode 20 should be visited before node18\nnode 20 should be visited before node3\nnode 20 should be visited before node27\nnode 22 should be visited before node24\nnode 22 should be visited before node27\nnode 22 should be visited before node1\nnode 23 should be visited before node3\nnode 23 should be visited before node24\nnode 23 should be visited before node14\nnode 23 should be visited before node26\nnode 24 should be visited before node21\nnode 24 should be visited before node1\nnode 26 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,20,16,11,2,9,7,5,4,10,17,12,19,6,15,23,18,22,13,3,14,24,0,27,26,21,1,25."
            }
        ]
    },
    {
        "id": "topology-hard-graph295",
        "image": "data/topology/graph_visual/hard/graph295.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 1 should be visited before node6\nnode 1 should be visited before node5\nnode 1 should be visited before node4\nnode 1 should be visited before node16\nnode 1 should be visited before node7\nnode 2 should be visited before node27\nnode 2 should be visited before node12\nnode 3 should be visited before node19\nnode 3 should be visited before node23\nnode 3 should be visited before node2\nnode 3 should be visited before node13\nnode 3 should be visited before node27\nnode 4 should be visited before node26\nnode 4 should be visited before node22\nnode 4 should be visited before node2\nnode 4 should be visited before node13\nnode 4 should be visited before node27\nnode 4 should be visited before node15\nnode 4 should be visited before node12\nnode 5 should be visited before node23\nnode 5 should be visited before node27\nnode 6 should be visited before node26\nnode 6 should be visited before node2\nnode 6 should be visited before node13\nnode 8 should be visited before node20\nnode 8 should be visited before node12\nnode 9 should be visited before node6\nnode 9 should be visited before node5\nnode 9 should be visited before node26\nnode 9 should be visited before node2\nnode 9 should be visited before node20\nnode 9 should be visited before node15\nnode 10 should be visited before node19\nnode 10 should be visited before node1\nnode 10 should be visited before node9\nnode 10 should be visited before node5\nnode 10 should be visited before node23\nnode 10 should be visited before node13\nnode 10 should be visited before node20\nnode 10 should be visited before node27\nnode 10 should be visited before node0\nnode 11 should be visited before node25\nnode 11 should be visited before node22\nnode 11 should be visited before node2\nnode 12 should be visited before node7\nnode 13 should be visited before node20\nnode 13 should be visited before node27\nnode 13 should be visited before node0\nnode 14 should be visited before node22\nnode 14 should be visited before node20\nnode 14 should be visited before node15\nnode 15 should be visited before node0\nnode 16 should be visited before node2\nnode 16 should be visited before node7\nnode 17 should be visited before node4\nnode 17 should be visited before node22\nnode 17 should be visited before node27\nnode 17 should be visited before node15\nnode 17 should be visited before node12\nnode 17 should be visited before node0\nnode 18 should be visited before node19\nnode 18 should be visited before node6\nnode 18 should be visited before node5\nnode 18 should be visited before node2\nnode 18 should be visited before node8\nnode 18 should be visited before node15\nnode 19 should be visited before node1\nnode 19 should be visited before node23\nnode 19 should be visited before node26\nnode 19 should be visited before node16\nnode 19 should be visited before node8\nnode 19 should be visited before node20\nnode 19 should be visited before node27\nnode 19 should be visited before node12\nnode 19 should be visited before node0\nnode 20 should be visited before node7\nnode 21 should be visited before node1\nnode 21 should be visited before node5\nnode 21 should be visited before node23\nnode 21 should be visited before node14\nnode 21 should be visited before node22\nnode 21 should be visited before node8\nnode 21 should be visited before node27\nnode 21 should be visited before node12\nnode 21 should be visited before node0\nnode 22 should be visited before node16\nnode 22 should be visited before node8\nnode 22 should be visited before node20\nnode 22 should be visited before node12\nnode 23 should be visited before node2\nnode 23 should be visited before node27\nnode 24 should be visited before node10\nnode 24 should be visited before node3\nnode 24 should be visited before node17\nnode 24 should be visited before node1\nnode 24 should be visited before node6\nnode 24 should be visited before node5\nnode 24 should be visited before node26\nnode 24 should be visited before node20\nnode 24 should be visited before node15\nnode 24 should be visited before node12\nnode 24 should be visited before node7\nnode 25 should be visited before node1\nnode 25 should be visited before node9\nnode 25 should be visited before node6\nnode 25 should be visited before node23\nnode 26 should be visited before node22\nnode 26 should be visited before node13\nnode 26 should be visited before node20\nnode 26 should be visited before node27\nnode 27 should be visited before node12\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "11,18,21,24,25,14,10,3,17,9,19,1,6,5,4,23,26,15,22,13,16,8,0,2,20,27,12,7."
            }
        ]
    },
    {
        "id": "topology-hard-graph257",
        "image": "data/topology/graph_visual/hard/graph257.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 1 should be visited before node6\nnode 1 should be visited before node10\nnode 1 should be visited before node5\nnode 1 should be visited before node22\nnode 1 should be visited before node25\nnode 1 should be visited before node24\nnode 2 should be visited before node14\nnode 2 should be visited before node15\nnode 2 should be visited before node16\nnode 2 should be visited before node0\nnode 2 should be visited before node3\nnode 2 should be visited before node13\nnode 2 should be visited before node19\nnode 3 should be visited before node13\nnode 3 should be visited before node22\nnode 3 should be visited before node25\nnode 3 should be visited before node24\nnode 4 should be visited before node27\nnode 4 should be visited before node17\nnode 4 should be visited before node22\nnode 5 should be visited before node8\nnode 5 should be visited before node17\nnode 5 should be visited before node13\nnode 5 should be visited before node25\nnode 5 should be visited before node24\nnode 6 should be visited before node10\nnode 6 should be visited before node26\nnode 6 should be visited before node8\nnode 6 should be visited before node22\nnode 6 should be visited before node19\nnode 7 should be visited before node11\nnode 7 should be visited before node9\nnode 7 should be visited before node14\nnode 7 should be visited before node4\nnode 7 should be visited before node12\nnode 7 should be visited before node27\nnode 7 should be visited before node5\nnode 7 should be visited before node0\nnode 7 should be visited before node3\nnode 7 should be visited before node17\nnode 7 should be visited before node24\nnode 8 should be visited before node17\nnode 8 should be visited before node22\nnode 8 should be visited before node25\nnode 8 should be visited before node24\nnode 9 should be visited before node14\nnode 9 should be visited before node10\nnode 9 should be visited before node4\nnode 9 should be visited before node27\nnode 9 should be visited before node0\nnode 9 should be visited before node3\nnode 9 should be visited before node17\nnode 9 should be visited before node13\nnode 9 should be visited before node25\nnode 10 should be visited before node4\nnode 10 should be visited before node26\nnode 10 should be visited before node3\nnode 10 should be visited before node25\nnode 11 should be visited before node20\nnode 11 should be visited before node2\nnode 11 should be visited before node1\nnode 11 should be visited before node4\nnode 11 should be visited before node27\nnode 11 should be visited before node5\nnode 11 should be visited before node8\nnode 11 should be visited before node3\nnode 11 should be visited before node24\nnode 12 should be visited before node0\nnode 12 should be visited before node19\nnode 14 should be visited before node16\nnode 14 should be visited before node12\nnode 14 should be visited before node0\nnode 14 should be visited before node3\nnode 14 should be visited before node13\nnode 14 should be visited before node25\nnode 14 should be visited before node24\nnode 15 should be visited before node16\nnode 15 should be visited before node27\nnode 15 should be visited before node0\nnode 15 should be visited before node17\nnode 15 should be visited before node13\nnode 15 should be visited before node22\nnode 16 should be visited before node8\nnode 16 should be visited before node3\nnode 16 should be visited before node22\nnode 16 should be visited before node25\nnode 16 should be visited before node24\nnode 16 should be visited before node19\nnode 17 should be visited before node22\nnode 17 should be visited before node24\nnode 17 should be visited before node19\nnode 18 should be visited before node7\nnode 18 should be visited before node11\nnode 18 should be visited before node20\nnode 18 should be visited before node1\nnode 18 should be visited before node4\nnode 18 should be visited before node27\nnode 18 should be visited before node5\nnode 18 should be visited before node8\nnode 18 should be visited before node13\nnode 20 should be visited before node6\nnode 20 should be visited before node4\nnode 20 should be visited before node15\nnode 20 should be visited before node0\nnode 20 should be visited before node17\nnode 20 should be visited before node22\nnode 20 should be visited before node19\nnode 21 should be visited before node9\nnode 21 should be visited before node2\nnode 21 should be visited before node1\nnode 21 should be visited before node27\nnode 21 should be visited before node8\nnode 21 should be visited before node13\nnode 21 should be visited before node25\nnode 22 should be visited before node25\nnode 22 should be visited before node24\nnode 22 should be visited before node19\nnode 23 should be visited before node1\nnode 23 should be visited before node14\nnode 23 should be visited before node4\nnode 23 should be visited before node26\nnode 23 should be visited before node0\nnode 23 should be visited before node13\nnode 23 should be visited before node22\nnode 23 should be visited before node25\nnode 23 should be visited before node24\nnode 24 should be visited before node19\nnode 25 should be visited before node19\nnode 26 should be visited before node16\nnode 26 should be visited before node8\nnode 26 should be visited before node24\nnode 26 should be visited before node19\nnode 27 should be visited before node5\nnode 27 should be visited before node13\nnode 27 should be visited before node19\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "18,21,23,7,11,9,20,2,1,14,15,6,12,10,0,4,26,27,16,5,3,8,13,17,22,25,24,19."
            }
        ]
    },
    {
        "id": "topology-hard-graph312",
        "image": "data/topology/graph_visual/hard/graph312.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node17\nnode 0 should be visited before node3\nnode 0 should be visited before node1\nnode 0 should be visited before node6\nnode 0 should be visited before node27\nnode 0 should be visited before node22\nnode 0 should be visited before node25\nnode 0 should be visited before node11\nnode 0 should be visited before node13\nnode 1 should be visited before node2\nnode 1 should be visited before node19\nnode 1 should be visited before node25\nnode 1 should be visited before node9\nnode 2 should be visited before node19\nnode 2 should be visited before node7\nnode 2 should be visited before node4\nnode 3 should be visited before node23\nnode 3 should be visited before node7\nnode 3 should be visited before node22\nnode 3 should be visited before node25\nnode 3 should be visited before node11\nnode 5 should be visited before node17\nnode 5 should be visited before node23\nnode 5 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node19\nnode 5 should be visited before node7\nnode 5 should be visited before node25\nnode 5 should be visited before node11\nnode 6 should be visited before node27\nnode 6 should be visited before node2\nnode 6 should be visited before node19\nnode 6 should be visited before node22\nnode 6 should be visited before node11\nnode 6 should be visited before node4\nnode 7 should be visited before node25\nnode 7 should be visited before node13\nnode 8 should be visited before node6\nnode 8 should be visited before node27\nnode 8 should be visited before node19\nnode 8 should be visited before node7\nnode 8 should be visited before node22\nnode 8 should be visited before node11\nnode 8 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node4\nnode 10 should be visited before node17\nnode 10 should be visited before node3\nnode 10 should be visited before node20\nnode 10 should be visited before node27\nnode 10 should be visited before node19\nnode 10 should be visited before node22\nnode 10 should be visited before node9\nnode 11 should be visited before node13\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 12 should be visited before node17\nnode 12 should be visited before node3\nnode 12 should be visited before node6\nnode 12 should be visited before node27\nnode 12 should be visited before node19\nnode 12 should be visited before node22\nnode 12 should be visited before node25\nnode 12 should be visited before node9\nnode 12 should be visited before node4\nnode 14 should be visited before node15\nnode 14 should be visited before node0\nnode 14 should be visited before node12\nnode 14 should be visited before node5\nnode 14 should be visited before node17\nnode 14 should be visited before node3\nnode 14 should be visited before node23\nnode 14 should be visited before node8\nnode 14 should be visited before node6\nnode 14 should be visited before node27\nnode 14 should be visited before node4\nnode 15 should be visited before node0\nnode 15 should be visited before node10\nnode 15 should be visited before node17\nnode 15 should be visited before node20\nnode 15 should be visited before node8\nnode 15 should be visited before node19\nnode 15 should be visited before node22\nnode 15 should be visited before node25\nnode 15 should be visited before node13\nnode 15 should be visited before node4\nnode 16 should be visited before node24\nnode 16 should be visited before node14\nnode 16 should be visited before node21\nnode 16 should be visited before node17\nnode 16 should be visited before node26\nnode 16 should be visited before node20\nnode 16 should be visited before node22\nnode 16 should be visited before node25\nnode 16 should be visited before node11\nnode 16 should be visited before node9\nnode 16 should be visited before node4\nnode 17 should be visited before node23\nnode 17 should be visited before node8\nnode 17 should be visited before node1\nnode 17 should be visited before node19\nnode 17 should be visited before node11\nnode 17 should be visited before node13\nnode 17 should be visited before node9\nnode 18 should be visited before node16\nnode 18 should be visited before node15\nnode 18 should be visited before node0\nnode 18 should be visited before node12\nnode 18 should be visited before node5\nnode 18 should be visited before node17\nnode 18 should be visited before node26\nnode 18 should be visited before node3\nnode 18 should be visited before node20\nnode 18 should be visited before node19\nnode 18 should be visited before node7\nnode 18 should be visited before node25\nnode 19 should be visited before node22\nnode 19 should be visited before node11\nnode 20 should be visited before node8\nnode 20 should be visited before node19\nnode 20 should be visited before node7\nnode 20 should be visited before node25\nnode 20 should be visited before node11\nnode 20 should be visited before node13\nnode 20 should be visited before node9\nnode 21 should be visited before node15\nnode 21 should be visited before node5\nnode 21 should be visited before node10\nnode 21 should be visited before node17\nnode 21 should be visited before node3\nnode 21 should be visited before node27\nnode 21 should be visited before node19\nnode 21 should be visited before node9\nnode 22 should be visited before node11\nnode 22 should be visited before node4\nnode 23 should be visited before node20\nnode 23 should be visited before node8\nnode 23 should be visited before node27\nnode 23 should be visited before node2\nnode 23 should be visited before node7\nnode 23 should be visited before node4\nnode 24 should be visited before node0\nnode 24 should be visited before node10\nnode 24 should be visited before node26\nnode 24 should be visited before node3\nnode 24 should be visited before node23\nnode 24 should be visited before node8\nnode 24 should be visited before node1\nnode 24 should be visited before node6\nnode 24 should be visited before node19\nnode 24 should be visited before node7\nnode 24 should be visited before node22\nnode 24 should be visited before node25\nnode 24 should be visited before node9\nnode 24 should be visited before node4\nnode 25 should be visited before node11\nnode 25 should be visited before node9\nnode 26 should be visited before node23\nnode 26 should be visited before node20\nnode 26 should be visited before node1\nnode 26 should be visited before node6\nnode 26 should be visited before node27\nnode 26 should be visited before node19\nnode 26 should be visited before node25\nnode 26 should be visited before node13\nnode 26 should be visited before node9\nnode 27 should be visited before node19\nnode 27 should be visited before node7\nnode 27 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "18,16,24,14,21,26,12,15,5,0,10,17,3,1,23,20,8,6,27,2,19,7,22,25,11,13,9,4."
            }
        ]
    },
    {
        "id": "topology-hard-graph226",
        "image": "data/topology/graph_visual/hard/graph226.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node10\nnode 1 should be visited before node6\nnode 1 should be visited before node13\nnode 1 should be visited before node23\nnode 1 should be visited before node22\nnode 1 should be visited before node26\nnode 1 should be visited before node5\nnode 1 should be visited before node21\nnode 1 should be visited before node0\nnode 1 should be visited before node25\nnode 2 should be visited before node18\nnode 2 should be visited before node22\nnode 2 should be visited before node20\nnode 2 should be visited before node26\nnode 2 should be visited before node21\nnode 2 should be visited before node7\nnode 2 should be visited before node25\nnode 2 should be visited before node10\nnode 3 should be visited before node25\nnode 4 should be visited before node23\nnode 4 should be visited before node22\nnode 4 should be visited before node20\nnode 4 should be visited before node5\nnode 4 should be visited before node7\nnode 4 should be visited before node0\nnode 4 should be visited before node10\nnode 5 should be visited before node10\nnode 6 should be visited before node11\nnode 6 should be visited before node13\nnode 6 should be visited before node22\nnode 6 should be visited before node20\nnode 6 should be visited before node3\nnode 6 should be visited before node5\nnode 6 should be visited before node21\nnode 6 should be visited before node7\nnode 6 should be visited before node0\nnode 6 should be visited before node25\nnode 6 should be visited before node10\nnode 7 should be visited before node25\nnode 8 should be visited before node15\nnode 8 should be visited before node17\nnode 8 should be visited before node19\nnode 8 should be visited before node14\nnode 8 should be visited before node2\nnode 8 should be visited before node23\nnode 8 should be visited before node22\nnode 8 should be visited before node20\nnode 8 should be visited before node26\nnode 8 should be visited before node5\nnode 8 should be visited before node21\nnode 9 should be visited before node6\nnode 9 should be visited before node16\nnode 9 should be visited before node11\nnode 9 should be visited before node4\nnode 9 should be visited before node20\nnode 9 should be visited before node3\nnode 9 should be visited before node21\nnode 9 should be visited before node25\nnode 11 should be visited before node4\nnode 11 should be visited before node23\nnode 11 should be visited before node22\nnode 11 should be visited before node20\nnode 11 should be visited before node26\nnode 11 should be visited before node7\nnode 11 should be visited before node0\nnode 11 should be visited before node10\nnode 12 should be visited before node9\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 12 should be visited before node6\nnode 12 should be visited before node16\nnode 12 should be visited before node2\nnode 12 should be visited before node13\nnode 12 should be visited before node23\nnode 12 should be visited before node22\nnode 12 should be visited before node26\nnode 12 should be visited before node0\nnode 12 should be visited before node25\nnode 12 should be visited before node10\nnode 13 should be visited before node23\nnode 13 should be visited before node20\nnode 13 should be visited before node3\nnode 13 should be visited before node26\nnode 13 should be visited before node7\nnode 14 should be visited before node6\nnode 14 should be visited before node16\nnode 14 should be visited before node13\nnode 14 should be visited before node23\nnode 14 should be visited before node18\nnode 14 should be visited before node22\nnode 14 should be visited before node26\nnode 14 should be visited before node5\nnode 14 should be visited before node21\nnode 14 should be visited before node25\nnode 14 should be visited before node10\nnode 15 should be visited before node17\nnode 15 should be visited before node12\nnode 15 should be visited before node1\nnode 15 should be visited before node16\nnode 15 should be visited before node23\nnode 15 should be visited before node22\nnode 16 should be visited before node2\nnode 16 should be visited before node4\nnode 16 should be visited before node23\nnode 16 should be visited before node22\nnode 16 should be visited before node20\nnode 16 should be visited before node3\nnode 16 should be visited before node5\nnode 16 should be visited before node21\nnode 16 should be visited before node7\nnode 16 should be visited before node25\nnode 16 should be visited before node10\nnode 17 should be visited before node14\nnode 17 should be visited before node1\nnode 17 should be visited before node6\nnode 17 should be visited before node11\nnode 17 should be visited before node4\nnode 17 should be visited before node23\nnode 17 should be visited before node18\nnode 17 should be visited before node22\nnode 17 should be visited before node3\nnode 17 should be visited before node5\nnode 17 should be visited before node21\nnode 17 should be visited before node0\nnode 17 should be visited before node25\nnode 18 should be visited before node22\nnode 18 should be visited before node26\nnode 18 should be visited before node5\nnode 18 should be visited before node25\nnode 18 should be visited before node10\nnode 19 should be visited before node14\nnode 19 should be visited before node16\nnode 19 should be visited before node13\nnode 19 should be visited before node22\nnode 19 should be visited before node3\nnode 19 should be visited before node5\nnode 19 should be visited before node0\nnode 20 should be visited before node3\nnode 20 should be visited before node26\nnode 20 should be visited before node21\nnode 20 should be visited before node25\nnode 20 should be visited before node10\nnode 21 should be visited before node0\nnode 21 should be visited before node25\nnode 22 should be visited before node3\nnode 22 should be visited before node26\nnode 22 should be visited before node21\nnode 22 should be visited before node0\nnode 22 should be visited before node10\nnode 23 should be visited before node22\nnode 23 should be visited before node26\nnode 23 should be visited before node0\nnode 23 should be visited before node25\nnode 23 should be visited before node10\nnode 24 should be visited before node15\nnode 24 should be visited before node17\nnode 24 should be visited before node19\nnode 24 should be visited before node9\nnode 24 should be visited before node2\nnode 24 should be visited before node13\nnode 24 should be visited before node25\nnode 24 should be visited before node10\nnode 26 should be visited before node21\nnode 26 should be visited before node7\nnode 26 should be visited before node25\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "8,24,15,19,17,12,9,14,1,16,6,2,11,13,18,4,23,20,5,22,3,26,21,7,0,25,10."
            }
        ]
    },
    {
        "id": "topology-hard-graph152",
        "image": "data/topology/graph_visual/hard/graph152.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node14\nnode 0 should be visited before node17\nnode 0 should be visited before node6\nnode 0 should be visited before node26\nnode 0 should be visited before node10\nnode 0 should be visited before node21\nnode 0 should be visited before node25\nnode 0 should be visited before node11\nnode 0 should be visited before node20\nnode 0 should be visited before node2\nnode 0 should be visited before node19\nnode 1 should be visited before node8\nnode 2 should be visited before node3\nnode 2 should be visited before node15\nnode 4 should be visited before node8\nnode 4 should be visited before node16\nnode 4 should be visited before node2\nnode 5 should be visited before node26\nnode 5 should be visited before node10\nnode 5 should be visited before node25\nnode 5 should be visited before node1\nnode 5 should be visited before node18\nnode 5 should be visited before node11\nnode 5 should be visited before node15\nnode 5 should be visited before node19\nnode 6 should be visited before node26\nnode 6 should be visited before node10\nnode 6 should be visited before node21\nnode 6 should be visited before node18\nnode 6 should be visited before node3\nnode 7 should be visited before node26\nnode 7 should be visited before node9\nnode 7 should be visited before node21\nnode 7 should be visited before node11\nnode 7 should be visited before node2\nnode 7 should be visited before node19\nnode 8 should be visited before node20\nnode 8 should be visited before node2\nnode 9 should be visited before node13\nnode 9 should be visited before node25\nnode 9 should be visited before node1\nnode 9 should be visited before node4\nnode 9 should be visited before node23\nnode 9 should be visited before node2\nnode 9 should be visited before node15\nnode 9 should be visited before node19\nnode 10 should be visited before node25\nnode 10 should be visited before node11\nnode 10 should be visited before node15\nnode 10 should be visited before node19\nnode 11 should be visited before node19\nnode 12 should be visited before node5\nnode 12 should be visited before node26\nnode 12 should be visited before node9\nnode 12 should be visited before node11\nnode 12 should be visited before node2\nnode 13 should be visited before node8\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 14 should be visited before node6\nnode 14 should be visited before node24\nnode 14 should be visited before node13\nnode 14 should be visited before node25\nnode 14 should be visited before node15\nnode 16 should be visited before node23\nnode 17 should be visited before node24\nnode 17 should be visited before node13\nnode 17 should be visited before node21\nnode 17 should be visited before node1\nnode 17 should be visited before node18\nnode 17 should be visited before node19\nnode 18 should be visited before node20\nnode 18 should be visited before node16\nnode 18 should be visited before node3\nnode 18 should be visited before node19\nnode 20 should be visited before node16\nnode 20 should be visited before node19\nnode 21 should be visited before node25\nnode 21 should be visited before node1\nnode 21 should be visited before node11\nnode 21 should be visited before node23\nnode 22 should be visited before node10\nnode 22 should be visited before node13\nnode 22 should be visited before node16\nnode 23 should be visited before node3\nnode 24 should be visited before node1\nnode 24 should be visited before node11\nnode 24 should be visited before node2\nnode 24 should be visited before node15\nnode 24 should be visited before node19\nnode 25 should be visited before node4\nnode 25 should be visited before node18\nnode 25 should be visited before node11\nnode 25 should be visited before node15\nnode 25 should be visited before node19\nnode 26 should be visited before node24\nnode 26 should be visited before node21\nnode 26 should be visited before node11\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,7,12,22,14,17,5,9,6,13,26,10,24,21,25,1,4,18,11,8,20,2,16,19,15,23,3."
            }
        ]
    },
    {
        "id": "topology-hard-graph332",
        "image": "data/topology/graph_visual/hard/graph332.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 28 nodes numbered from 0 to 27:\nnode 0 should be visited before node13\nnode 0 should be visited before node21\nnode 0 should be visited before node20\nnode 0 should be visited before node25\nnode 0 should be visited before node15\nnode 0 should be visited before node14\nnode 0 should be visited before node12\nnode 0 should be visited before node22\nnode 0 should be visited before node19\nnode 0 should be visited before node10\nnode 0 should be visited before node3\nnode 0 should be visited before node6\nnode 1 should be visited before node19\nnode 1 should be visited before node5\nnode 1 should be visited before node10\nnode 1 should be visited before node3\nnode 1 should be visited before node6\nnode 2 should be visited before node18\nnode 2 should be visited before node24\nnode 2 should be visited before node8\nnode 2 should be visited before node14\nnode 2 should be visited before node9\nnode 2 should be visited before node12\nnode 2 should be visited before node1\nnode 2 should be visited before node19\nnode 2 should be visited before node10\nnode 4 should be visited before node2\nnode 4 should be visited before node18\nnode 4 should be visited before node14\nnode 4 should be visited before node7\nnode 4 should be visited before node9\nnode 4 should be visited before node12\nnode 4 should be visited before node22\nnode 4 should be visited before node1\nnode 4 should be visited before node23\nnode 4 should be visited before node27\nnode 4 should be visited before node10\nnode 4 should be visited before node6\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 7 should be visited before node9\nnode 7 should be visited before node1\nnode 7 should be visited before node19\nnode 7 should be visited before node27\nnode 7 should be visited before node5\nnode 7 should be visited before node10\nnode 7 should be visited before node3\nnode 7 should be visited before node6\nnode 8 should be visited before node9\nnode 8 should be visited before node22\nnode 8 should be visited before node23\nnode 8 should be visited before node19\nnode 8 should be visited before node27\nnode 8 should be visited before node10\nnode 8 should be visited before node6\nnode 9 should be visited before node22\nnode 9 should be visited before node19\nnode 9 should be visited before node27\nnode 9 should be visited before node5\nnode 9 should be visited before node3\nnode 9 should be visited before node6\nnode 11 should be visited before node16\nnode 11 should be visited before node17\nnode 11 should be visited before node2\nnode 11 should be visited before node7\nnode 11 should be visited before node23\nnode 11 should be visited before node27\nnode 11 should be visited before node5\nnode 11 should be visited before node6\nnode 12 should be visited before node22\nnode 12 should be visited before node1\nnode 12 should be visited before node27\nnode 12 should be visited before node5\nnode 12 should be visited before node3\nnode 13 should be visited before node26\nnode 13 should be visited before node11\nnode 13 should be visited before node16\nnode 13 should be visited before node17\nnode 13 should be visited before node4\nnode 13 should be visited before node2\nnode 13 should be visited before node24\nnode 13 should be visited before node8\nnode 13 should be visited before node14\nnode 13 should be visited before node7\nnode 13 should be visited before node9\nnode 13 should be visited before node27\nnode 13 should be visited before node10\nnode 13 should be visited before node3\nnode 14 should be visited before node9\nnode 14 should be visited before node22\nnode 14 should be visited before node19\nnode 14 should be visited before node5\nnode 14 should be visited before node10\nnode 14 should be visited before node6\nnode 15 should be visited before node17\nnode 15 should be visited before node24\nnode 15 should be visited before node14\nnode 15 should be visited before node9\nnode 15 should be visited before node12\nnode 15 should be visited before node22\nnode 15 should be visited before node1\nnode 15 should be visited before node19\nnode 15 should be visited before node10\nnode 16 should be visited before node4\nnode 16 should be visited before node2\nnode 16 should be visited before node18\nnode 16 should be visited before node24\nnode 16 should be visited before node14\nnode 16 should be visited before node7\nnode 16 should be visited before node12\nnode 16 should be visited before node19\nnode 16 should be visited before node10\nnode 16 should be visited before node6\nnode 17 should be visited before node2\nnode 17 should be visited before node24\nnode 17 should be visited before node8\nnode 17 should be visited before node14\nnode 17 should be visited before node7\nnode 17 should be visited before node12\nnode 17 should be visited before node1\nnode 17 should be visited before node5\nnode 17 should be visited before node3\nnode 18 should be visited before node14\nnode 18 should be visited before node19\nnode 18 should be visited before node5\nnode 18 should be visited before node10\nnode 19 should be visited before node10\nnode 19 should be visited before node6\nnode 20 should be visited before node26\nnode 20 should be visited before node11\nnode 20 should be visited before node16\nnode 20 should be visited before node17\nnode 20 should be visited before node24\nnode 20 should be visited before node8\nnode 20 should be visited before node12\nnode 20 should be visited before node22\nnode 20 should be visited before node27\nnode 20 should be visited before node5\nnode 20 should be visited before node10\nnode 20 should be visited before node3\nnode 20 should be visited before node6\nnode 21 should be visited before node25\nnode 21 should be visited before node16\nnode 21 should be visited before node2\nnode 21 should be visited before node18\nnode 21 should be visited before node8\nnode 21 should be visited before node12\nnode 21 should be visited before node22\nnode 21 should be visited before node1\nnode 21 should be visited before node10\nnode 21 should be visited before node6\nnode 22 should be visited before node1\nnode 22 should be visited before node19\nnode 22 should be visited before node27\nnode 22 should be visited before node5\nnode 22 should be visited before node6\nnode 23 should be visited before node27\nnode 23 should be visited before node6\nnode 24 should be visited before node14\nnode 24 should be visited before node9\nnode 24 should be visited before node12\nnode 24 should be visited before node1\nnode 24 should be visited before node23\nnode 24 should be visited before node19\nnode 24 should be visited before node27\nnode 24 should be visited before node5\nnode 24 should be visited before node3\nnode 25 should be visited before node16\nnode 25 should be visited before node2\nnode 25 should be visited before node8\nnode 25 should be visited before node14\nnode 25 should be visited before node7\nnode 25 should be visited before node9\nnode 25 should be visited before node22\nnode 25 should be visited before node1\nnode 25 should be visited before node23\nnode 25 should be visited before node27\nnode 25 should be visited before node10\nnode 25 should be visited before node3\nnode 26 should be visited before node11\nnode 26 should be visited before node17\nnode 26 should be visited before node4\nnode 26 should be visited before node2\nnode 26 should be visited before node24\nnode 26 should be visited before node9\nnode 26 should be visited before node12\nnode 26 should be visited before node1\nnode 26 should be visited before node5\nnode 26 should be visited before node10\nnode 27 should be visited before node10\nnode 27 should be visited before node3\nnode 27 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,13,21,20,15,25,26,11,16,17,4,2,7,18,24,8,14,12,23,9,22,1,27,19,5,10,3,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph979",
        "image": "data/topology/graph_visual/hard/graph979.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 34 nodes numbered from 0 to 33:\nnode 1 should be visited before node33\nnode 1 should be visited before node4\nnode 1 should be visited before node28\nnode 1 should be visited before node27\nnode 1 should be visited before node19\nnode 1 should be visited before node20\nnode 1 should be visited before node3\nnode 2 should be visited before node3\nnode 2 should be visited before node32\nnode 4 should be visited before node28\nnode 4 should be visited before node27\nnode 4 should be visited before node17\nnode 4 should be visited before node20\nnode 4 should be visited before node32\nnode 4 should be visited before node0\nnode 5 should be visited before node23\nnode 5 should be visited before node22\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node11\nnode 5 should be visited before node4\nnode 5 should be visited before node24\nnode 5 should be visited before node2\nnode 5 should be visited before node19\nnode 5 should be visited before node26\nnode 5 should be visited before node20\nnode 6 should be visited before node15\nnode 6 should be visited before node4\nnode 6 should be visited before node27\nnode 6 should be visited before node2\nnode 6 should be visited before node17\nnode 6 should be visited before node20\nnode 6 should be visited before node3\nnode 6 should be visited before node0\nnode 7 should be visited before node33\nnode 7 should be visited before node28\nnode 7 should be visited before node27\nnode 7 should be visited before node32\nnode 8 should be visited before node30\nnode 8 should be visited before node27\nnode 8 should be visited before node19\nnode 8 should be visited before node32\nnode 8 should be visited before node0\nnode 9 should be visited before node18\nnode 9 should be visited before node8\nnode 9 should be visited before node12\nnode 9 should be visited before node30\nnode 9 should be visited before node10\nnode 9 should be visited before node16\nnode 9 should be visited before node6\nnode 9 should be visited before node11\nnode 9 should be visited before node13\nnode 9 should be visited before node27\nnode 9 should be visited before node17\nnode 9 should be visited before node3\nnode 9 should be visited before node32\nnode 10 should be visited before node29\nnode 10 should be visited before node6\nnode 10 should be visited before node15\nnode 10 should be visited before node27\nnode 10 should be visited before node17\nnode 10 should be visited before node20\nnode 10 should be visited before node32\nnode 10 should be visited before node0\nnode 11 should be visited before node28\nnode 11 should be visited before node27\nnode 11 should be visited before node24\nnode 11 should be visited before node2\nnode 11 should be visited before node19\nnode 11 should be visited before node26\nnode 11 should be visited before node20\nnode 11 should be visited before node0\nnode 12 should be visited before node23\nnode 12 should be visited before node1\nnode 12 should be visited before node33\nnode 12 should be visited before node3\nnode 13 should be visited before node2\nnode 13 should be visited before node3\nnode 14 should be visited before node31\nnode 14 should be visited before node18\nnode 14 should be visited before node25\nnode 14 should be visited before node10\nnode 14 should be visited before node11\nnode 14 should be visited before node19\nnode 14 should be visited before node26\nnode 14 should be visited before node20\nnode 15 should be visited before node2\nnode 15 should be visited before node20\nnode 15 should be visited before node3\nnode 15 should be visited before node32\nnode 16 should be visited before node22\nnode 16 should be visited before node6\nnode 16 should be visited before node11\nnode 16 should be visited before node24\nnode 16 should be visited before node2\nnode 16 should be visited before node32\nnode 16 should be visited before node0\nnode 18 should be visited before node8\nnode 18 should be visited before node21\nnode 18 should be visited before node16\nnode 18 should be visited before node7\nnode 18 should be visited before node4\nnode 18 should be visited before node3\nnode 18 should be visited before node0\nnode 19 should be visited before node26\nnode 19 should be visited before node3\nnode 19 should be visited before node0\nnode 21 should be visited before node30\nnode 21 should be visited before node10\nnode 21 should be visited before node11\nnode 21 should be visited before node4\nnode 21 should be visited before node19\nnode 21 should be visited before node20\nnode 21 should be visited before node3\nnode 21 should be visited before node32\nnode 22 should be visited before node1\nnode 22 should be visited before node19\nnode 22 should be visited before node3\nnode 22 should be visited before node0\nnode 23 should be visited before node16\nnode 23 should be visited before node7\nnode 23 should be visited before node15\nnode 23 should be visited before node4\nnode 23 should be visited before node13\nnode 23 should be visited before node20\nnode 23 should be visited before node32\nnode 24 should be visited before node17\nnode 24 should be visited before node19\nnode 24 should be visited before node26\nnode 24 should be visited before node3\nnode 24 should be visited before node32\nnode 25 should be visited before node5\nnode 25 should be visited before node23\nnode 25 should be visited before node29\nnode 25 should be visited before node6\nnode 25 should be visited before node15\nnode 25 should be visited before node27\nnode 25 should be visited before node26\nnode 25 should be visited before node20\nnode 27 should be visited before node24\nnode 27 should be visited before node26\nnode 27 should be visited before node0\nnode 28 should be visited before node27\nnode 28 should be visited before node2\nnode 28 should be visited before node3\nnode 29 should be visited before node1\nnode 29 should be visited before node15\nnode 29 should be visited before node11\nnode 29 should be visited before node33\nnode 29 should be visited before node4\nnode 29 should be visited before node26\nnode 29 should be visited before node20\nnode 30 should be visited before node29\nnode 30 should be visited before node16\nnode 30 should be visited before node22\nnode 30 should be visited before node6\nnode 30 should be visited before node28\nnode 30 should be visited before node24\nnode 30 should be visited before node2\nnode 30 should be visited before node20\nnode 30 should be visited before node3\nnode 31 should be visited before node29\nnode 31 should be visited before node15\nnode 31 should be visited before node11\nnode 31 should be visited before node27\nnode 31 should be visited before node24\nnode 31 should be visited before node19\nnode 31 should be visited before node26\nnode 31 should be visited before node3\nnode 31 should be visited before node0\nnode 33 should be visited before node19\nnode 33 should be visited before node20\nnode 33 should be visited before node0\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "9,14,12,31,18,25,8,21,5,30,10,23,29,16,7,13,22,6,11,1,15,33,4,28,20,27,2,24,17,19,32,26,3,0."
            }
        ]
    },
    {
        "id": "topology-hard-graph591",
        "image": "data/topology/graph_visual/hard/graph591.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 30 nodes numbered from 0 to 29:\nnode 0 should be visited before node18\nnode 0 should be visited before node5\nnode 0 should be visited before node29\nnode 0 should be visited before node3\nnode 0 should be visited before node16\nnode 0 should be visited before node9\nnode 0 should be visited before node28\nnode 0 should be visited before node27\nnode 0 should be visited before node25\nnode 0 should be visited before node23\nnode 0 should be visited before node24\nnode 0 should be visited before node11\nnode 0 should be visited before node21\nnode 0 should be visited before node6\nnode 1 should be visited before node4\nnode 1 should be visited before node8\nnode 1 should be visited before node26\nnode 1 should be visited before node0\nnode 1 should be visited before node5\nnode 1 should be visited before node29\nnode 1 should be visited before node16\nnode 1 should be visited before node9\nnode 1 should be visited before node27\nnode 1 should be visited before node24\nnode 1 should be visited before node20\nnode 1 should be visited before node21\nnode 1 should be visited before node6\nnode 2 should be visited before node15\nnode 2 should be visited before node13\nnode 2 should be visited before node10\nnode 2 should be visited before node12\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node26\nnode 2 should be visited before node19\nnode 2 should be visited before node0\nnode 2 should be visited before node18\nnode 2 should be visited before node3\nnode 2 should be visited before node27\nnode 2 should be visited before node23\nnode 2 should be visited before node11\nnode 2 should be visited before node20\nnode 3 should be visited before node22\nnode 3 should be visited before node9\nnode 3 should be visited before node27\nnode 3 should be visited before node23\nnode 3 should be visited before node24\nnode 3 should be visited before node11\nnode 3 should be visited before node20\nnode 4 should be visited before node8\nnode 4 should be visited before node14\nnode 4 should be visited before node29\nnode 4 should be visited before node3\nnode 4 should be visited before node22\nnode 4 should be visited before node16\nnode 4 should be visited before node27\nnode 4 should be visited before node21\nnode 5 should be visited before node16\nnode 5 should be visited before node9\nnode 5 should be visited before node28\nnode 5 should be visited before node25\nnode 5 should be visited before node23\nnode 5 should be visited before node20\nnode 7 should be visited before node15\nnode 7 should be visited before node10\nnode 7 should be visited before node1\nnode 7 should be visited before node0\nnode 7 should be visited before node18\nnode 7 should be visited before node3\nnode 7 should be visited before node22\nnode 7 should be visited before node16\nnode 7 should be visited before node27\nnode 7 should be visited before node21\nnode 7 should be visited before node6\nnode 8 should be visited before node26\nnode 8 should be visited before node19\nnode 8 should be visited before node0\nnode 8 should be visited before node5\nnode 8 should be visited before node29\nnode 8 should be visited before node22\nnode 8 should be visited before node16\nnode 8 should be visited before node9\nnode 8 should be visited before node28\nnode 8 should be visited before node23\nnode 8 should be visited before node11\nnode 8 should be visited before node21\nnode 8 should be visited before node6\nnode 9 should be visited before node25\nnode 9 should be visited before node24\nnode 9 should be visited before node21\nnode 9 should be visited before node6\nnode 10 should be visited before node4\nnode 10 should be visited before node26\nnode 10 should be visited before node14\nnode 10 should be visited before node18\nnode 10 should be visited before node5\nnode 10 should be visited before node9\nnode 10 should be visited before node23\nnode 10 should be visited before node11\nnode 10 should be visited before node6\nnode 11 should be visited before node20\nnode 11 should be visited before node21\nnode 11 should be visited before node6\nnode 12 should be visited before node1\nnode 12 should be visited before node8\nnode 12 should be visited before node19\nnode 12 should be visited before node14\nnode 12 should be visited before node0\nnode 12 should be visited before node18\nnode 12 should be visited before node29\nnode 12 should be visited before node27\nnode 12 should be visited before node25\nnode 12 should be visited before node23\nnode 12 should be visited before node24\nnode 12 should be visited before node11\nnode 12 should be visited before node21\nnode 12 should be visited before node6\nnode 13 should be visited before node4\nnode 13 should be visited before node8\nnode 13 should be visited before node26\nnode 13 should be visited before node14\nnode 13 should be visited before node18\nnode 13 should be visited before node27\nnode 13 should be visited before node25\nnode 13 should be visited before node23\nnode 13 should be visited before node11\nnode 13 should be visited before node20\nnode 13 should be visited before node6\nnode 14 should be visited before node0\nnode 14 should be visited before node22\nnode 14 should be visited before node28\nnode 14 should be visited before node23\nnode 14 should be visited before node24\nnode 14 should be visited before node20\nnode 15 should be visited before node13\nnode 15 should be visited before node8\nnode 15 should be visited before node26\nnode 15 should be visited before node19\nnode 15 should be visited before node14\nnode 15 should be visited before node18\nnode 15 should be visited before node3\nnode 15 should be visited before node16\nnode 15 should be visited before node25\nnode 15 should be visited before node23\nnode 15 should be visited before node11\nnode 15 should be visited before node6\nnode 16 should be visited before node28\nnode 16 should be visited before node27\nnode 16 should be visited before node25\nnode 16 should be visited before node6\nnode 17 should be visited before node13\nnode 17 should be visited before node12\nnode 17 should be visited before node4\nnode 17 should be visited before node8\nnode 17 should be visited before node26\nnode 17 should be visited before node19\nnode 17 should be visited before node18\nnode 17 should be visited before node5\nnode 17 should be visited before node3\nnode 17 should be visited before node9\nnode 17 should be visited before node27\nnode 17 should be visited before node25\nnode 17 should be visited before node24\nnode 17 should be visited before node11\nnode 17 should be visited before node20\nnode 17 should be visited before node21\nnode 18 should be visited before node29\nnode 18 should be visited before node16\nnode 18 should be visited before node28\nnode 18 should be visited before node27\nnode 18 should be visited before node24\nnode 18 should be visited before node11\nnode 18 should be visited before node20\nnode 19 should be visited before node14\nnode 19 should be visited before node18\nnode 19 should be visited before node5\nnode 19 should be visited before node29\nnode 19 should be visited before node22\nnode 19 should be visited before node9\nnode 19 should be visited before node27\nnode 19 should be visited before node25\nnode 19 should be visited before node24\nnode 19 should be visited before node11\nnode 19 should be visited before node20\nnode 20 should be visited before node6\nnode 21 should be visited before node6\nnode 22 should be visited before node16\nnode 22 should be visited before node27\nnode 22 should be visited before node25\nnode 22 should be visited before node23\nnode 22 should be visited before node24\nnode 22 should be visited before node20\nnode 22 should be visited before node21\nnode 23 should be visited before node24\nnode 23 should be visited before node11\nnode 25 should be visited before node24\nnode 25 should be visited before node11\nnode 25 should be visited before node20\nnode 25 should be visited before node21\nnode 26 should be visited before node0\nnode 26 should be visited before node3\nnode 26 should be visited before node9\nnode 26 should be visited before node27\nnode 26 should be visited before node23\nnode 26 should be visited before node24\nnode 26 should be visited before node11\nnode 26 should be visited before node20\nnode 26 should be visited before node21\nnode 26 should be visited before node6\nnode 27 should be visited before node25\nnode 28 should be visited before node27\nnode 28 should be visited before node23\nnode 28 should be visited before node11\nnode 28 should be visited before node21\nnode 29 should be visited before node9\nnode 29 should be visited before node25\nnode 29 should be visited before node21\nnode 29 should be visited before node6\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "2,7,17,15,10,12,13,1,4,8,26,19,14,0,18,5,3,29,22,9,16,28,27,23,25,24,11,20,21,6."
            }
        ]
    },
    {
        "id": "topology-hard-graph756",
        "image": "data/topology/graph_visual/hard/graph756.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 32 nodes numbered from 0 to 31:\nnode 0 should be visited before node26\nnode 0 should be visited before node13\nnode 0 should be visited before node16\nnode 0 should be visited before node2\nnode 0 should be visited before node30\nnode 0 should be visited before node20\nnode 0 should be visited before node31\nnode 0 should be visited before node6\nnode 0 should be visited before node10\nnode 1 should be visited before node23\nnode 1 should be visited before node8\nnode 1 should be visited before node3\nnode 1 should be visited before node31\nnode 2 should be visited before node1\nnode 2 should be visited before node8\nnode 2 should be visited before node20\nnode 2 should be visited before node11\nnode 2 should be visited before node6\nnode 2 should be visited before node29\nnode 3 should be visited before node6\nnode 3 should be visited before node29\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node11\nnode 5 should be visited before node9\nnode 5 should be visited before node14\nnode 5 should be visited before node7\nnode 5 should be visited before node15\nnode 5 should be visited before node11\nnode 5 should be visited before node6\nnode 7 should be visited before node8\nnode 7 should be visited before node28\nnode 7 should be visited before node6\nnode 7 should be visited before node29\nnode 8 should be visited before node3\nnode 8 should be visited before node20\nnode 8 should be visited before node31\nnode 8 should be visited before node15\nnode 9 should be visited before node2\nnode 9 should be visited before node24\nnode 9 should be visited before node20\nnode 9 should be visited before node31\nnode 9 should be visited before node15\nnode 9 should be visited before node10\nnode 10 should be visited before node29\nnode 12 should be visited before node26\nnode 12 should be visited before node17\nnode 12 should be visited before node5\nnode 12 should be visited before node7\nnode 12 should be visited before node28\nnode 12 should be visited before node31\nnode 12 should be visited before node15\nnode 12 should be visited before node6\nnode 12 should be visited before node29\nnode 13 should be visited before node19\nnode 13 should be visited before node27\nnode 13 should be visited before node8\nnode 13 should be visited before node15\nnode 14 should be visited before node7\nnode 14 should be visited before node1\nnode 14 should be visited before node24\nnode 14 should be visited before node30\nnode 14 should be visited before node3\nnode 14 should be visited before node15\nnode 14 should be visited before node11\nnode 14 should be visited before node10\nnode 15 should be visited before node6\nnode 15 should be visited before node10\nnode 16 should be visited before node18\nnode 16 should be visited before node1\nnode 17 should be visited before node22\nnode 17 should be visited before node25\nnode 17 should be visited before node9\nnode 17 should be visited before node7\nnode 17 should be visited before node30\nnode 17 should be visited before node28\nnode 17 should be visited before node11\nnode 17 should be visited before node10\nnode 18 should be visited before node4\nnode 18 should be visited before node25\nnode 18 should be visited before node9\nnode 18 should be visited before node14\nnode 18 should be visited before node2\nnode 18 should be visited before node1\nnode 18 should be visited before node31\nnode 18 should be visited before node6\nnode 18 should be visited before node29\nnode 19 should be visited before node21\nnode 19 should be visited before node4\nnode 19 should be visited before node25\nnode 19 should be visited before node9\nnode 19 should be visited before node24\nnode 19 should be visited before node23\nnode 19 should be visited before node15\nnode 19 should be visited before node11\nnode 19 should be visited before node6\nnode 20 should be visited before node29\nnode 21 should be visited before node7\nnode 21 should be visited before node1\nnode 21 should be visited before node30\nnode 21 should be visited before node23\nnode 21 should be visited before node3\nnode 21 should be visited before node31\nnode 21 should be visited before node11\nnode 21 should be visited before node6\nnode 22 should be visited before node21\nnode 22 should be visited before node4\nnode 22 should be visited before node25\nnode 22 should be visited before node5\nnode 22 should be visited before node2\nnode 22 should be visited before node24\nnode 22 should be visited before node28\nnode 22 should be visited before node3\nnode 22 should be visited before node15\nnode 23 should be visited before node8\nnode 23 should be visited before node6\nnode 23 should be visited before node29\nnode 24 should be visited before node28\nnode 25 should be visited before node9\nnode 25 should be visited before node14\nnode 25 should be visited before node2\nnode 25 should be visited before node7\nnode 25 should be visited before node30\nnode 25 should be visited before node8\nnode 25 should be visited before node3\nnode 26 should be visited before node22\nnode 26 should be visited before node16\nnode 26 should be visited before node19\nnode 26 should be visited before node21\nnode 26 should be visited before node25\nnode 26 should be visited before node30\nnode 26 should be visited before node23\nnode 26 should be visited before node3\nnode 26 should be visited before node15\nnode 26 should be visited before node11\nnode 26 should be visited before node29\nnode 27 should be visited before node4\nnode 27 should be visited before node14\nnode 27 should be visited before node10\nnode 28 should be visited before node11\nnode 30 should be visited before node23\nnode 31 should be visited before node15\nnode 31 should be visited before node29\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "0,12,13,26,17,27,16,19,22,18,21,5,4,25,9,14,2,7,24,30,1,28,23,11,8,3,20,31,15,6,10,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph229",
        "image": "data/topology/graph_visual/hard/graph229.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node21\nnode 0 should be visited before node12\nnode 0 should be visited before node26\nnode 0 should be visited before node17\nnode 1 should be visited before node10\nnode 1 should be visited before node8\nnode 1 should be visited before node11\nnode 1 should be visited before node20\nnode 1 should be visited before node2\nnode 1 should be visited before node3\nnode 1 should be visited before node7\nnode 1 should be visited before node23\nnode 1 should be visited before node5\nnode 1 should be visited before node14\nnode 1 should be visited before node9\nnode 1 should be visited before node21\nnode 1 should be visited before node12\nnode 1 should be visited before node26\nnode 2 should be visited before node7\nnode 2 should be visited before node15\nnode 2 should be visited before node9\nnode 2 should be visited before node21\nnode 2 should be visited before node22\nnode 2 should be visited before node26\nnode 2 should be visited before node17\nnode 3 should be visited before node0\nnode 3 should be visited before node18\nnode 3 should be visited before node22\nnode 3 should be visited before node26\nnode 4 should be visited before node19\nnode 4 should be visited before node6\nnode 4 should be visited before node1\nnode 4 should be visited before node24\nnode 4 should be visited before node10\nnode 4 should be visited before node20\nnode 4 should be visited before node13\nnode 4 should be visited before node2\nnode 4 should be visited before node7\nnode 4 should be visited before node14\nnode 4 should be visited before node22\nnode 5 should be visited before node15\nnode 5 should be visited before node14\nnode 5 should be visited before node18\nnode 5 should be visited before node21\nnode 5 should be visited before node22\nnode 6 should be visited before node1\nnode 6 should be visited before node24\nnode 6 should be visited before node10\nnode 6 should be visited before node8\nnode 6 should be visited before node11\nnode 6 should be visited before node13\nnode 6 should be visited before node7\nnode 6 should be visited before node15\nnode 6 should be visited before node14\nnode 6 should be visited before node9\nnode 6 should be visited before node22\nnode 6 should be visited before node17\nnode 7 should be visited before node23\nnode 7 should be visited before node15\nnode 7 should be visited before node0\nnode 7 should be visited before node14\nnode 7 should be visited before node18\nnode 8 should be visited before node11\nnode 8 should be visited before node3\nnode 8 should be visited before node16\nnode 8 should be visited before node7\nnode 8 should be visited before node15\nnode 8 should be visited before node14\nnode 8 should be visited before node21\nnode 9 should be visited before node12\nnode 9 should be visited before node26\nnode 10 should be visited before node25\nnode 10 should be visited before node11\nnode 10 should be visited before node13\nnode 10 should be visited before node2\nnode 10 should be visited before node23\nnode 10 should be visited before node15\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node22\nnode 10 should be visited before node17\nnode 11 should be visited before node13\nnode 11 should be visited before node7\nnode 11 should be visited before node5\nnode 11 should be visited before node15\nnode 11 should be visited before node14\nnode 11 should be visited before node18\nnode 11 should be visited before node9\nnode 11 should be visited before node12\nnode 12 should be visited before node22\nnode 12 should be visited before node26\nnode 12 should be visited before node17\nnode 13 should be visited before node3\nnode 13 should be visited before node15\nnode 13 should be visited before node0\nnode 13 should be visited before node14\nnode 13 should be visited before node18\nnode 13 should be visited before node21\nnode 13 should be visited before node12\nnode 14 should be visited before node22\nnode 14 should be visited before node26\nnode 15 should be visited before node0\nnode 15 should be visited before node9\nnode 15 should be visited before node21\nnode 15 should be visited before node12\nnode 15 should be visited before node22\nnode 15 should be visited before node26\nnode 16 should be visited before node23\nnode 16 should be visited before node5\nnode 16 should be visited before node14\nnode 16 should be visited before node18\nnode 16 should be visited before node21\nnode 16 should be visited before node17\nnode 18 should be visited before node9\nnode 18 should be visited before node21\nnode 18 should be visited before node12\nnode 18 should be visited before node22\nnode 19 should be visited before node6\nnode 19 should be visited before node1\nnode 19 should be visited before node24\nnode 19 should be visited before node10\nnode 19 should be visited before node25\nnode 19 should be visited before node8\nnode 19 should be visited before node13\nnode 19 should be visited before node3\nnode 19 should be visited before node16\nnode 19 should be visited before node7\nnode 19 should be visited before node23\nnode 19 should be visited before node15\nnode 19 should be visited before node14\nnode 19 should be visited before node18\nnode 19 should be visited before node9\nnode 19 should be visited before node21\nnode 19 should be visited before node12\nnode 19 should be visited before node17\nnode 20 should be visited before node3\nnode 20 should be visited before node7\nnode 20 should be visited before node23\nnode 20 should be visited before node12\nnode 20 should be visited before node22\nnode 21 should be visited before node12\nnode 21 should be visited before node22\nnode 22 should be visited before node26\nnode 23 should be visited before node15\nnode 23 should be visited before node0\nnode 23 should be visited before node12\nnode 23 should be visited before node22\nnode 23 should be visited before node26\nnode 24 should be visited before node25\nnode 24 should be visited before node13\nnode 24 should be visited before node16\nnode 24 should be visited before node0\nnode 24 should be visited before node14\nnode 24 should be visited before node21\nnode 24 should be visited before node12\nnode 24 should be visited before node22\nnode 24 should be visited before node26\nnode 24 should be visited before node17\nnode 25 should be visited before node8\nnode 25 should be visited before node11\nnode 25 should be visited before node16\nnode 25 should be visited before node7\nnode 25 should be visited before node0\nnode 25 should be visited before node9\nnode 25 should be visited before node12\nnode 25 should be visited before node22\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,19,6,1,24,10,20,25,2,8,11,16,13,7,5,3,23,14,18,15,0,9,21,12,22,17,26."
            }
        ]
    },
    {
        "id": "topology-hard-graph674",
        "image": "data/topology/graph_visual/hard/graph674.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 31 nodes numbered from 0 to 30:\nnode 0 should be visited before node25\nnode 0 should be visited before node11\nnode 0 should be visited before node22\nnode 0 should be visited before node10\nnode 0 should be visited before node4\nnode 0 should be visited before node7\nnode 0 should be visited before node30\nnode 0 should be visited before node27\nnode 0 should be visited before node8\nnode 0 should be visited before node1\nnode 0 should be visited before node23\nnode 0 should be visited before node19\nnode 1 should be visited before node28\nnode 1 should be visited before node19\nnode 1 should be visited before node20\nnode 1 should be visited before node29\nnode 2 should be visited before node20\nnode 3 should be visited before node6\nnode 3 should be visited before node15\nnode 3 should be visited before node8\nnode 3 should be visited before node1\nnode 3 should be visited before node28\nnode 3 should be visited before node24\nnode 3 should be visited before node19\nnode 3 should be visited before node29\nnode 4 should be visited before node3\nnode 4 should be visited before node6\nnode 4 should be visited before node8\nnode 4 should be visited before node2\nnode 4 should be visited before node23\nnode 4 should be visited before node19\nnode 4 should be visited before node20\nnode 4 should be visited before node29\nnode 4 should be visited before node13\nnode 5 should be visited before node25\nnode 5 should be visited before node11\nnode 5 should be visited before node12\nnode 5 should be visited before node22\nnode 5 should be visited before node4\nnode 5 should be visited before node7\nnode 5 should be visited before node30\nnode 5 should be visited before node3\nnode 5 should be visited before node6\nnode 5 should be visited before node1\nnode 5 should be visited before node28\nnode 5 should be visited before node24\nnode 5 should be visited before node2\nnode 5 should be visited before node23\nnode 6 should be visited before node8\nnode 6 should be visited before node1\nnode 6 should be visited before node24\nnode 6 should be visited before node23\nnode 6 should be visited before node20\nnode 6 should be visited before node13\nnode 7 should be visited before node30\nnode 7 should be visited before node6\nnode 7 should be visited before node15\nnode 7 should be visited before node28\nnode 7 should be visited before node24\nnode 7 should be visited before node2\nnode 7 should be visited before node13\nnode 8 should be visited before node28\nnode 8 should be visited before node2\nnode 8 should be visited before node19\nnode 8 should be visited before node20\nnode 8 should be visited before node29\nnode 9 should be visited before node11\nnode 9 should be visited before node12\nnode 9 should be visited before node22\nnode 9 should be visited before node30\nnode 9 should be visited before node3\nnode 9 should be visited before node8\nnode 9 should be visited before node1\nnode 9 should be visited before node28\nnode 9 should be visited before node23\nnode 9 should be visited before node29\nnode 10 should be visited before node4\nnode 10 should be visited before node30\nnode 10 should be visited before node28\nnode 10 should be visited before node24\nnode 10 should be visited before node2\nnode 10 should be visited before node29\nnode 10 should be visited before node13\nnode 11 should be visited before node26\nnode 11 should be visited before node22\nnode 11 should be visited before node7\nnode 11 should be visited before node30\nnode 11 should be visited before node1\nnode 11 should be visited before node28\nnode 11 should be visited before node23\nnode 11 should be visited before node19\nnode 11 should be visited before node29\nnode 11 should be visited before node13\nnode 12 should be visited before node22\nnode 12 should be visited before node7\nnode 12 should be visited before node30\nnode 12 should be visited before node15\nnode 12 should be visited before node1\nnode 12 should be visited before node28\nnode 12 should be visited before node24\nnode 12 should be visited before node2\nnode 12 should be visited before node19\nnode 14 should be visited before node5\nnode 14 should be visited before node0\nnode 14 should be visited before node25\nnode 14 should be visited before node11\nnode 14 should be visited before node10\nnode 14 should be visited before node3\nnode 14 should be visited before node8\nnode 14 should be visited before node28\nnode 14 should be visited before node19\nnode 14 should be visited before node13\nnode 15 should be visited before node1\nnode 15 should be visited before node28\nnode 15 should be visited before node24\nnode 15 should be visited before node2\nnode 15 should be visited before node23\nnode 15 should be visited before node13\nnode 16 should be visited before node17\nnode 16 should be visited before node18\nnode 16 should be visited before node5\nnode 16 should be visited before node0\nnode 16 should be visited before node26\nnode 16 should be visited before node12\nnode 16 should be visited before node10\nnode 16 should be visited before node4\nnode 16 should be visited before node7\nnode 16 should be visited before node27\nnode 16 should be visited before node6\nnode 16 should be visited before node28\nnode 16 should be visited before node24\nnode 16 should be visited before node23\nnode 16 should be visited before node19\nnode 16 should be visited before node20\nnode 16 should be visited before node29\nnode 16 should be visited before node13\nnode 17 should be visited before node18\nnode 17 should be visited before node21\nnode 17 should be visited before node0\nnode 17 should be visited before node12\nnode 17 should be visited before node22\nnode 17 should be visited before node4\nnode 17 should be visited before node7\nnode 17 should be visited before node3\nnode 17 should be visited before node6\nnode 17 should be visited before node2\nnode 17 should be visited before node23\nnode 17 should be visited before node29\nnode 18 should be visited before node21\nnode 18 should be visited before node9\nnode 18 should be visited before node11\nnode 18 should be visited before node26\nnode 18 should be visited before node12\nnode 18 should be visited before node22\nnode 18 should be visited before node10\nnode 18 should be visited before node4\nnode 18 should be visited before node7\nnode 18 should be visited before node30\nnode 18 should be visited before node15\nnode 18 should be visited before node1\nnode 18 should be visited before node24\nnode 18 should be visited before node2\nnode 18 should be visited before node23\nnode 18 should be visited before node20\nnode 19 should be visited before node29\nnode 20 should be visited before node13\nnode 21 should be visited before node26\nnode 21 should be visited before node22\nnode 21 should be visited before node10\nnode 21 should be visited before node4\nnode 21 should be visited before node7\nnode 21 should be visited before node3\nnode 21 should be visited before node1\nnode 21 should be visited before node28\nnode 21 should be visited before node2\nnode 21 should be visited before node29\nnode 21 should be visited before node13\nnode 22 should be visited before node10\nnode 22 should be visited before node4\nnode 22 should be visited before node7\nnode 22 should be visited before node30\nnode 22 should be visited before node27\nnode 22 should be visited before node6\nnode 22 should be visited before node8\nnode 22 should be visited before node1\nnode 22 should be visited before node28\nnode 22 should be visited before node29\nnode 23 should be visited before node19\nnode 24 should be visited before node2\nnode 24 should be visited before node23\nnode 24 should be visited before node20\nnode 25 should be visited before node26\nnode 25 should be visited before node12\nnode 25 should be visited before node10\nnode 25 should be visited before node4\nnode 25 should be visited before node7\nnode 25 should be visited before node3\nnode 25 should be visited before node27\nnode 25 should be visited before node6\nnode 25 should be visited before node15\nnode 25 should be visited before node8\nnode 25 should be visited before node2\nnode 25 should be visited before node19\nnode 25 should be visited before node29\nnode 26 should be visited before node12\nnode 26 should be visited before node22\nnode 26 should be visited before node10\nnode 26 should be visited before node4\nnode 26 should be visited before node7\nnode 26 should be visited before node3\nnode 26 should be visited before node6\nnode 26 should be visited before node8\nnode 26 should be visited before node28\nnode 26 should be visited before node23\nnode 26 should be visited before node19\nnode 27 should be visited before node6\nnode 27 should be visited before node15\nnode 27 should be visited before node8\nnode 27 should be visited before node1\nnode 27 should be visited before node28\nnode 27 should be visited before node19\nnode 28 should be visited before node23\nnode 28 should be visited before node19\nnode 28 should be visited before node20\nnode 30 should be visited before node3\nnode 30 should be visited before node27\nnode 30 should be visited before node6\nnode 30 should be visited before node15\nnode 30 should be visited before node8\nnode 30 should be visited before node20\nnode 30 should be visited before node13\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "14,16,17,5,18,0,21,9,25,11,26,12,22,10,7,4,30,3,27,6,15,8,1,24,28,2,23,20,19,13,29."
            }
        ]
    },
    {
        "id": "topology-hard-graph1171",
        "image": "data/topology/graph_visual/hard/graph1171.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 35 nodes numbered from 0 to 34:\nnode 0 should be visited before node22\nnode 1 should be visited before node17\nnode 1 should be visited before node31\nnode 1 should be visited before node19\nnode 1 should be visited before node15\nnode 1 should be visited before node6\nnode 1 should be visited before node28\nnode 1 should be visited before node8\nnode 1 should be visited before node2\nnode 1 should be visited before node33\nnode 1 should be visited before node22\nnode 1 should be visited before node9\nnode 1 should be visited before node4\nnode 2 should be visited before node33\nnode 2 should be visited before node22\nnode 2 should be visited before node12\nnode 2 should be visited before node13\nnode 3 should be visited before node11\nnode 3 should be visited before node1\nnode 3 should be visited before node19\nnode 3 should be visited before node14\nnode 3 should be visited before node6\nnode 3 should be visited before node28\nnode 3 should be visited before node7\nnode 3 should be visited before node2\nnode 3 should be visited before node33\nnode 3 should be visited before node22\nnode 3 should be visited before node9\nnode 3 should be visited before node13\nnode 4 should be visited before node13\nnode 5 should be visited before node23\nnode 5 should be visited before node17\nnode 5 should be visited before node31\nnode 5 should be visited before node19\nnode 5 should be visited before node27\nnode 5 should be visited before node14\nnode 5 should be visited before node6\nnode 5 should be visited before node8\nnode 5 should be visited before node2\nnode 5 should be visited before node33\nnode 5 should be visited before node0\nnode 5 should be visited before node22\nnode 5 should be visited before node9\nnode 6 should be visited before node8\nnode 6 should be visited before node33\nnode 6 should be visited before node0\nnode 6 should be visited before node12\nnode 6 should be visited before node34\nnode 6 should be visited before node13\nnode 7 should be visited before node9\nnode 7 should be visited before node12\nnode 7 should be visited before node34\nnode 7 should be visited before node4\nnode 7 should be visited before node13\nnode 8 should be visited before node9\nnode 8 should be visited before node12\nnode 8 should be visited before node34\nnode 9 should be visited before node12\nnode 9 should be visited before node34\nnode 9 should be visited before node4\nnode 10 should be visited before node20\nnode 10 should be visited before node5\nnode 10 should be visited before node23\nnode 10 should be visited before node17\nnode 10 should be visited before node19\nnode 10 should be visited before node27\nnode 10 should be visited before node28\nnode 10 should be visited before node8\nnode 10 should be visited before node7\nnode 10 should be visited before node33\nnode 10 should be visited before node9\nnode 10 should be visited before node12\nnode 10 should be visited before node34\nnode 11 should be visited before node18\nnode 11 should be visited before node20\nnode 11 should be visited before node26\nnode 11 should be visited before node17\nnode 11 should be visited before node19\nnode 11 should be visited before node27\nnode 11 should be visited before node15\nnode 11 should be visited before node8\nnode 11 should be visited before node7\nnode 11 should be visited before node2\nnode 11 should be visited before node33\nnode 11 should be visited before node0\nnode 11 should be visited before node22\nnode 11 should be visited before node9\nnode 11 should be visited before node4\nnode 11 should be visited before node13\nnode 12 should be visited before node13\nnode 14 should be visited before node15\nnode 14 should be visited before node28\nnode 14 should be visited before node8\nnode 14 should be visited before node2\nnode 14 should be visited before node33\nnode 14 should be visited before node22\nnode 15 should be visited before node28\nnode 15 should be visited before node7\nnode 15 should be visited before node2\nnode 15 should be visited before node33\nnode 16 should be visited before node18\nnode 16 should be visited before node20\nnode 16 should be visited before node1\nnode 16 should be visited before node5\nnode 16 should be visited before node17\nnode 16 should be visited before node31\nnode 16 should be visited before node27\nnode 16 should be visited before node15\nnode 16 should be visited before node6\nnode 16 should be visited before node8\nnode 16 should be visited before node7\nnode 16 should be visited before node2\nnode 16 should be visited before node9\nnode 16 should be visited before node34\nnode 17 should be visited before node27\nnode 17 should be visited before node28\nnode 17 should be visited before node7\nnode 17 should be visited before node0\nnode 17 should be visited before node13\nnode 18 should be visited before node10\nnode 18 should be visited before node20\nnode 18 should be visited before node1\nnode 18 should be visited before node23\nnode 18 should be visited before node17\nnode 18 should be visited before node31\nnode 18 should be visited before node19\nnode 18 should be visited before node27\nnode 18 should be visited before node15\nnode 18 should be visited before node6\nnode 18 should be visited before node28\nnode 18 should be visited before node9\nnode 18 should be visited before node12\nnode 18 should be visited before node34\nnode 18 should be visited before node4\nnode 19 should be visited before node27\nnode 19 should be visited before node14\nnode 19 should be visited before node8\nnode 19 should be visited before node22\nnode 19 should be visited before node9\nnode 19 should be visited before node13\nnode 20 should be visited before node26\nnode 20 should be visited before node1\nnode 20 should be visited before node5\nnode 20 should be visited before node6\nnode 20 should be visited before node28\nnode 20 should be visited before node8\nnode 20 should be visited before node2\nnode 20 should be visited before node33\nnode 20 should be visited before node0\nnode 20 should be visited before node22\nnode 20 should be visited before node12\nnode 20 should be visited before node34\nnode 21 should be visited before node16\nnode 21 should be visited before node10\nnode 21 should be visited before node26\nnode 21 should be visited before node23\nnode 21 should be visited before node31\nnode 21 should be visited before node27\nnode 21 should be visited before node14\nnode 21 should be visited before node6\nnode 21 should be visited before node28\nnode 21 should be visited before node8\nnode 21 should be visited before node7\nnode 21 should be visited before node22\nnode 21 should be visited before node9\nnode 22 should be visited before node9\nnode 22 should be visited before node12\nnode 22 should be visited before node13\nnode 23 should be visited before node17\nnode 23 should be visited before node14\nnode 23 should be visited before node15\nnode 23 should be visited before node7\nnode 23 should be visited before node2\nnode 23 should be visited before node33\nnode 23 should be visited before node0\nnode 23 should be visited before node22\nnode 23 should be visited before node9\nnode 23 should be visited before node34\nnode 24 should be visited before node32\nnode 24 should be visited before node16\nnode 24 should be visited before node18\nnode 24 should be visited before node26\nnode 24 should be visited before node1\nnode 24 should be visited before node31\nnode 24 should be visited before node19\nnode 24 should be visited before node14\nnode 24 should be visited before node15\nnode 24 should be visited before node28\nnode 24 should be visited before node7\nnode 24 should be visited before node2\nnode 24 should be visited before node33\nnode 24 should be visited before node0\nnode 24 should be visited before node22\nnode 24 should be visited before node12\nnode 24 should be visited before node34\nnode 24 should be visited before node4\nnode 24 should be visited before node13\nnode 25 should be visited before node32\nnode 25 should be visited before node16\nnode 25 should be visited before node10\nnode 25 should be visited before node20\nnode 25 should be visited before node26\nnode 25 should be visited before node1\nnode 25 should be visited before node5\nnode 25 should be visited before node23\nnode 25 should be visited before node31\nnode 25 should be visited before node14\nnode 25 should be visited before node15\nnode 25 should be visited before node6\nnode 25 should be visited before node33\nnode 25 should be visited before node22\nnode 25 should be visited before node9\nnode 25 should be visited before node12\nnode 25 should be visited before node4\nnode 25 should be visited before node13\nnode 26 should be visited before node1\nnode 26 should be visited before node5\nnode 26 should be visited before node14\nnode 26 should be visited before node15\nnode 26 should be visited before node6\nnode 26 should be visited before node8\nnode 26 should be visited before node2\nnode 26 should be visited before node0\nnode 26 should be visited before node12\nnode 26 should be visited before node34\nnode 26 should be visited before node4\nnode 26 should be visited before node13\nnode 27 should be visited before node14\nnode 27 should be visited before node15\nnode 27 should be visited before node6\nnode 27 should be visited before node8\nnode 27 should be visited before node7\nnode 27 should be visited before node33\nnode 27 should be visited before node0\nnode 27 should be visited before node9\nnode 27 should be visited before node12\nnode 27 should be visited before node4\nnode 28 should be visited before node8\nnode 28 should be visited before node2\nnode 28 should be visited before node0\nnode 28 should be visited before node22\nnode 28 should be visited before node34\nnode 28 should be visited before node4\nnode 28 should be visited before node13\nnode 29 should be visited before node32\nnode 29 should be visited before node21\nnode 29 should be visited before node11\nnode 29 should be visited before node10\nnode 29 should be visited before node20\nnode 29 should be visited before node5\nnode 29 should be visited before node23\nnode 29 should be visited before node14\nnode 29 should be visited before node15\nnode 29 should be visited before node28\nnode 29 should be visited before node8\nnode 29 should be visited before node7\nnode 29 should be visited before node9\nnode 29 should be visited before node12\nnode 29 should be visited before node34\nnode 29 should be visited before node4\nnode 29 should be visited before node13\nnode 30 should be visited before node21\nnode 30 should be visited before node3\nnode 30 should be visited before node16\nnode 30 should be visited before node11\nnode 30 should be visited before node20\nnode 30 should be visited before node1\nnode 30 should be visited before node19\nnode 30 should be visited before node27\nnode 30 should be visited before node6\nnode 30 should be visited before node7\nnode 30 should be visited before node33\nnode 30 should be visited before node22\nnode 30 should be visited before node12\nnode 31 should be visited before node19\nnode 31 should be visited before node27\nnode 31 should be visited before node14\nnode 31 should be visited before node6\nnode 31 should be visited before node8\nnode 31 should be visited before node2\nnode 31 should be visited before node0\nnode 31 should be visited before node22\nnode 31 should be visited before node9\nnode 31 should be visited before node12\nnode 32 should be visited before node21\nnode 32 should be visited before node16\nnode 32 should be visited before node11\nnode 32 should be visited before node18\nnode 32 should be visited before node26\nnode 32 should be visited before node5\nnode 32 should be visited before node27\nnode 32 should be visited before node6\nnode 32 should be visited before node28\nnode 32 should be visited before node2\nnode 32 should be visited before node33\nnode 32 should be visited before node0\nnode 32 should be visited before node22\nnode 32 should be visited before node12\nnode 32 should be visited before node13\nnode 33 should be visited before node0\nnode 33 should be visited before node9\nnode 33 should be visited before node12\nnode 33 should be visited before node34\nnode 34 should be visited before node4\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "24,25,29,30,32,3,21,11,16,18,10,20,26,1,5,23,31,17,19,27,14,6,15,28,7,8,2,33,0,22,9,12,34,4,13."
            }
        ]
    },
    {
        "id": "topology-hard-graph184",
        "image": "data/topology/graph_visual/hard/graph184.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node13\nnode 0 should be visited before node26\nnode 0 should be visited before node3\nnode 0 should be visited before node25\nnode 0 should be visited before node11\nnode 0 should be visited before node14\nnode 0 should be visited before node10\nnode 0 should be visited before node5\nnode 0 should be visited before node12\nnode 0 should be visited before node15\nnode 1 should be visited before node15\nnode 2 should be visited before node1\nnode 2 should be visited before node15\nnode 3 should be visited before node25\nnode 3 should be visited before node24\nnode 3 should be visited before node5\nnode 3 should be visited before node23\nnode 3 should be visited before node9\nnode 3 should be visited before node6\nnode 3 should be visited before node19\nnode 3 should be visited before node15\nnode 3 should be visited before node17\nnode 3 should be visited before node18\nnode 4 should be visited before node16\nnode 4 should be visited before node0\nnode 4 should be visited before node13\nnode 4 should be visited before node8\nnode 4 should be visited before node11\nnode 4 should be visited before node5\nnode 4 should be visited before node23\nnode 4 should be visited before node9\nnode 4 should be visited before node7\nnode 4 should be visited before node19\nnode 4 should be visited before node2\nnode 4 should be visited before node1\nnode 4 should be visited before node12\nnode 4 should be visited before node17\nnode 5 should be visited before node23\nnode 5 should be visited before node6\nnode 5 should be visited before node19\nnode 5 should be visited before node1\nnode 5 should be visited before node18\nnode 6 should be visited before node2\nnode 6 should be visited before node1\nnode 6 should be visited before node12\nnode 6 should be visited before node18\nnode 7 should be visited before node6\nnode 7 should be visited before node19\nnode 7 should be visited before node2\nnode 7 should be visited before node1\nnode 7 should be visited before node18\nnode 8 should be visited before node3\nnode 8 should be visited before node23\nnode 8 should be visited before node7\nnode 8 should be visited before node2\nnode 8 should be visited before node1\nnode 8 should be visited before node12\nnode 8 should be visited before node15\nnode 8 should be visited before node18\nnode 9 should be visited before node7\nnode 9 should be visited before node6\nnode 9 should be visited before node19\nnode 9 should be visited before node2\nnode 9 should be visited before node1\nnode 10 should be visited before node24\nnode 10 should be visited before node9\nnode 10 should be visited before node17\nnode 10 should be visited before node18\nnode 11 should be visited before node9\nnode 11 should be visited before node7\nnode 11 should be visited before node1\nnode 11 should be visited before node12\nnode 11 should be visited before node15\nnode 11 should be visited before node17\nnode 12 should be visited before node15\nnode 12 should be visited before node18\nnode 13 should be visited before node26\nnode 13 should be visited before node11\nnode 13 should be visited before node14\nnode 13 should be visited before node10\nnode 13 should be visited before node5\nnode 13 should be visited before node23\nnode 13 should be visited before node9\nnode 13 should be visited before node19\nnode 13 should be visited before node2\nnode 13 should be visited before node1\nnode 13 should be visited before node12\nnode 13 should be visited before node17\nnode 13 should be visited before node18\nnode 14 should be visited before node5\nnode 14 should be visited before node23\nnode 14 should be visited before node9\nnode 14 should be visited before node6\nnode 14 should be visited before node2\nnode 14 should be visited before node12\nnode 14 should be visited before node15\nnode 14 should be visited before node17\nnode 14 should be visited before node18\nnode 16 should be visited before node21\nnode 16 should be visited before node13\nnode 16 should be visited before node26\nnode 16 should be visited before node8\nnode 16 should be visited before node25\nnode 16 should be visited before node11\nnode 16 should be visited before node24\nnode 16 should be visited before node5\nnode 16 should be visited before node23\nnode 16 should be visited before node9\nnode 16 should be visited before node6\nnode 16 should be visited before node2\nnode 16 should be visited before node1\nnode 16 should be visited before node12\nnode 16 should be visited before node17\nnode 19 should be visited before node15\nnode 19 should be visited before node17\nnode 19 should be visited before node18\nnode 20 should be visited before node16\nnode 20 should be visited before node0\nnode 20 should be visited before node21\nnode 20 should be visited before node26\nnode 20 should be visited before node8\nnode 20 should be visited before node25\nnode 20 should be visited before node11\nnode 20 should be visited before node9\nnode 20 should be visited before node7\nnode 20 should be visited before node6\nnode 20 should be visited before node19\nnode 20 should be visited before node2\nnode 21 should be visited before node26\nnode 21 should be visited before node25\nnode 21 should be visited before node11\nnode 21 should be visited before node14\nnode 21 should be visited before node10\nnode 21 should be visited before node24\nnode 21 should be visited before node5\nnode 21 should be visited before node23\nnode 21 should be visited before node6\nnode 21 should be visited before node2\nnode 22 should be visited before node20\nnode 22 should be visited before node0\nnode 22 should be visited before node13\nnode 22 should be visited before node3\nnode 22 should be visited before node11\nnode 22 should be visited before node10\nnode 22 should be visited before node9\nnode 22 should be visited before node6\nnode 22 should be visited before node2\nnode 23 should be visited before node9\nnode 23 should be visited before node6\nnode 23 should be visited before node19\nnode 23 should be visited before node2\nnode 23 should be visited before node12\nnode 23 should be visited before node15\nnode 23 should be visited before node17\nnode 24 should be visited before node7\nnode 24 should be visited before node19\nnode 24 should be visited before node1\nnode 24 should be visited before node15\nnode 25 should be visited before node14\nnode 25 should be visited before node23\nnode 25 should be visited before node9\nnode 25 should be visited before node1\nnode 25 should be visited before node12\nnode 25 should be visited before node15\nnode 25 should be visited before node18\nnode 26 should be visited before node8\nnode 26 should be visited before node14\nnode 26 should be visited before node9\nnode 26 should be visited before node19\nnode 26 should be visited before node2\nnode 26 should be visited before node1\nnode 26 should be visited before node12\nnode 26 should be visited before node18\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "4,22,20,16,0,21,13,26,11,10,8,3,25,24,14,5,23,9,7,6,19,2,12,17,1,18,15."
            }
        ]
    },
    {
        "id": "topology-hard-graph228",
        "image": "data/topology/graph_visual/hard/graph228.png",
        "conversations": [
            {
                "from": "human",
                "value": "<image>\nThis diagram depicts a directed graph, in which each directed edge from node A to node B signifies that, according to the topological order, node A must precede node B.\nIn this directed graph with 27 nodes numbered from 0 to 26:\nnode 0 should be visited before node23\nnode 0 should be visited before node15\nnode 0 should be visited before node11\nnode 0 should be visited before node2\nnode 0 should be visited before node9\nnode 0 should be visited before node19\nnode 0 should be visited before node16\nnode 0 should be visited before node3\nnode 2 should be visited before node18\nnode 2 should be visited before node20\nnode 2 should be visited before node19\nnode 2 should be visited before node3\nnode 2 should be visited before node14\nnode 2 should be visited before node8\nnode 3 should be visited before node8\nnode 4 should be visited before node7\nnode 4 should be visited before node23\nnode 4 should be visited before node15\nnode 4 should be visited before node11\nnode 4 should be visited before node25\nnode 4 should be visited before node12\nnode 4 should be visited before node20\nnode 4 should be visited before node1\nnode 5 should be visited before node4\nnode 5 should be visited before node6\nnode 5 should be visited before node24\nnode 5 should be visited before node10\nnode 5 should be visited before node0\nnode 5 should be visited before node21\nnode 5 should be visited before node15\nnode 5 should be visited before node11\nnode 5 should be visited before node26\nnode 5 should be visited before node2\nnode 5 should be visited before node25\nnode 5 should be visited before node19\nnode 5 should be visited before node16\nnode 5 should be visited before node3\nnode 5 should be visited before node14\nnode 5 should be visited before node8\nnode 6 should be visited before node7\nnode 6 should be visited before node24\nnode 6 should be visited before node17\nnode 6 should be visited before node0\nnode 6 should be visited before node21\nnode 6 should be visited before node11\nnode 6 should be visited before node26\nnode 6 should be visited before node2\nnode 6 should be visited before node25\nnode 6 should be visited before node12\nnode 6 should be visited before node20\nnode 6 should be visited before node16\nnode 6 should be visited before node8\nnode 6 should be visited before node1\nnode 7 should be visited before node17\nnode 7 should be visited before node0\nnode 7 should be visited before node21\nnode 7 should be visited before node15\nnode 7 should be visited before node26\nnode 7 should be visited before node2\nnode 7 should be visited before node18\nnode 7 should be visited before node25\nnode 7 should be visited before node8\nnode 7 should be visited before node1\nnode 9 should be visited before node20\nnode 9 should be visited before node19\nnode 9 should be visited before node16\nnode 10 should be visited before node23\nnode 10 should be visited before node15\nnode 10 should be visited before node26\nnode 10 should be visited before node2\nnode 10 should be visited before node18\nnode 10 should be visited before node25\nnode 10 should be visited before node12\nnode 10 should be visited before node19\nnode 10 should be visited before node14\nnode 10 should be visited before node1\nnode 11 should be visited before node26\nnode 11 should be visited before node2\nnode 11 should be visited before node18\nnode 11 should be visited before node12\nnode 11 should be visited before node20\nnode 11 should be visited before node19\nnode 11 should be visited before node1\nnode 12 should be visited before node20\nnode 12 should be visited before node14\nnode 12 should be visited before node1\nnode 13 should be visited before node6\nnode 13 should be visited before node7\nnode 13 should be visited before node24\nnode 13 should be visited before node17\nnode 13 should be visited before node23\nnode 13 should be visited before node21\nnode 13 should be visited before node2\nnode 13 should be visited before node18\nnode 13 should be visited before node25\nnode 13 should be visited before node12\nnode 13 should be visited before node20\nnode 13 should be visited before node19\nnode 14 should be visited before node8\nnode 14 should be visited before node1\nnode 15 should be visited before node11\nnode 15 should be visited before node26\nnode 15 should be visited before node9\nnode 15 should be visited before node20\nnode 15 should be visited before node19\nnode 15 should be visited before node16\nnode 16 should be visited before node14\nnode 16 should be visited before node8\nnode 16 should be visited before node1\nnode 17 should be visited before node23\nnode 17 should be visited before node26\nnode 17 should be visited before node12\nnode 17 should be visited before node9\nnode 17 should be visited before node1\nnode 18 should be visited before node25\nnode 18 should be visited before node20\nnode 18 should be visited before node19\nnode 18 should be visited before node3\nnode 18 should be visited before node14\nnode 18 should be visited before node1\nnode 19 should be visited before node16\nnode 19 should be visited before node1\nnode 20 should be visited before node19\nnode 20 should be visited before node14\nnode 20 should be visited before node8\nnode 20 should be visited before node1\nnode 21 should be visited before node11\nnode 21 should be visited before node26\nnode 21 should be visited before node18\nnode 21 should be visited before node12\nnode 21 should be visited before node9\nnode 21 should be visited before node19\nnode 21 should be visited before node16\nnode 21 should be visited before node14\nnode 21 should be visited before node8\nnode 22 should be visited before node5\nnode 22 should be visited before node13\nnode 22 should be visited before node4\nnode 22 should be visited before node6\nnode 22 should be visited before node7\nnode 22 should be visited before node0\nnode 22 should be visited before node23\nnode 22 should be visited before node11\nnode 22 should be visited before node26\nnode 22 should be visited before node25\nnode 22 should be visited before node12\nnode 22 should be visited before node20\nnode 23 should be visited before node15\nnode 23 should be visited before node11\nnode 23 should be visited before node2\nnode 23 should be visited before node18\nnode 23 should be visited before node25\nnode 23 should be visited before node12\nnode 23 should be visited before node9\nnode 23 should be visited before node19\nnode 23 should be visited before node1\nnode 24 should be visited before node17\nnode 24 should be visited before node0\nnode 24 should be visited before node23\nnode 24 should be visited before node15\nnode 24 should be visited before node11\nnode 24 should be visited before node26\nnode 24 should be visited before node9\nnode 24 should be visited before node19\nnode 24 should be visited before node16\nnode 24 should be visited before node3\nnode 24 should be visited before node14\nnode 24 should be visited before node8\nnode 25 should be visited before node9\nnode 25 should be visited before node14\nnode 25 should be visited before node8\nnode 26 should be visited before node2\nnode 26 should be visited before node18\nnode 26 should be visited before node9\nnode 26 should be visited before node20\nnode 26 should be visited before node16\nnode 26 should be visited before node3\nnode 26 should be visited before node1\n The topological order of the directed graph is:"
            },
            {
                "from": "gpt",
                "value": "22,5,13,4,10,6,7,24,21,17,0,23,15,11,26,12,2,18,25,3,9,20,19,16,14,8,1."
            }
        ]
    }
]